Answers
The measure of ∠MCJ is 130° because ∠MCJ and ∠CMB are alternate interior opposite angles.
According to the question,
We have the following information:
We have a figure where angle MCJ is 130°.
Now, we can extend the two given lines as imaginary lines. After extending the lines, we will find that these lines are parallel and the lines are being cut by another line.
We know that in this case the alternate interior opposite angles are equal and the sum of consecutive alternate interior angles is 180°.
Now, ∠MCJ and ∠CMB are alternate interior opposite angles and thus they are equal.
Hence, the measure of ∠MCJ is 130° because ∠MCJ and ∠CMB are alternate interior opposite angles.
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Related Questions
Lora's phone records data for screen time each week. Last week, she used 840 minutes. This week, Lora used 504 screen time minutes on the phone. Calculate the percent decrease in screen time this week.
17%
34%
40%
67%
Answers
The percent decrease in screen time this week is 40%. Therefore, option C is the correct answer.
Given that, last week, Lora used 840 minutes. This week, Lora used 504 screen time minutes on the phone.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Now,
Difference=840-504
= 336
Percentage decrease = Difference in value/Original value ×100
= 336/840 ×100
= 0.4 ×100
= 40%
The percent decrease in screen time this week is 40%. Therefore, option C is the correct answer.
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Tell whether x and y show a positive, negative, or no relationship.
Answers
The coordinates of x and y on the graph can not form a function.
x and y do not show any relationships.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The coordinates from the graph.
(2, 0)
(2, 1)
(-1, 2)
(1, 3)
(0, -1)
(2, -3)
(-1, -1)
(3, -2)
We can say that,
A function can not have one to many.
We have,
(2, 0), (2, 1), and (2, -3).
This means,
For x = 2, y = 0, 1, -3.
This is not possible.
Thus,
The coordinates of x and y on the graph can not form a function.
x and y do not show any relationships.
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81% of the tickets sold at an amusement park were discount tickets. If the park sold 800 tickets in all, how many discount tickets did it sell?
Answers
Answer:
40% = 0.40800 / 0.40 = 2000 total tickets were sold
Step-by-step explanation:
Answer:
648
Step-by-step explanation:
ans: 81/100 x800
=648
Hamad lends $5,500 at a rate of 5 ½%. Find how long it will take for his investment to earn $205 in interest? Round to the nearest day
Answers
The time taken to earn the interest of $205 on the investment by Hamad is 2563 days.
Define the term simple interest?Simple interest is calculated based on a loan's principal or the initial deposit into a savings account. Simple interest does not really compound, therefore a borrower will only charge interest mostly on principal sum, and a borrower will never be required to pay further interest on the interest that has already incurred.The formula for calculating the simple interest is-
SI = PRT/100
In which,
SI = simple interest (= $205)P = principal amount ($5,500)R = rate of interest (5 ½%) = 11/2 %T= time in years.Put in formula.
205 = 5,500×11×T/200
T = 205×200 / 5,500×11
T = 0.67 years
T = 8.13 months = 253 days.
Thus, the time taken to earn the interest of $205 on the investment by Hamad is 2563 days.
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11. A carpenter needs to be sure that a frame he has built is rectangular. He knows that the opposite
sides of his frame are congruent. Give one additional fact that would be sufficient to guarantee that the
frame is rectangular.
Answers
In a certain chemical, the ratio of zinc to copper is 4 to 13. A jar of chemical contains 325 grams of copper. How many grams of zinc does it contain
Answers
Given -
In a certain chemical, the ratio of zinc to copper is 4 to 13.
The chemical contains 546 grams of copper.
Prove -
How many grams of zinc does it chemical contain.
Answer
suppose that scalar multiple of the zinc and copper be y .
As given
In a certain chemical, the ratio of zinc to copper is 4 to 13.
The chemical contains 546 grams of copper.
Than equation is
13y = 546
13y = 546
y = 42
Zinc contain in the certain chemical = 4y
= 4 42
= 168 grams
Therefore 168 grams of zinc contain in a certain chemical .
the reaction time of a driver to visual stimulus is normally distributed with a mean of 0.4 seconds and a standard deviation of 0.005 seconds. what is the probability that a reaction requires more than 0.5 seconds?
Answers
Answer:0.02275
Normal distribution:
Which is symmetrical about mean.
Mean:
It is the dispersion of a dataset relative to its mean and is calculated as the square root of the variance.
Complement rule:
When two disjoint sets are meant to occur then the sets are said to be complementary.
Given:
Mean= 0.4 seconds
Standard deviation= 0.005 seconds
Let, X be the reaction time for the driver to view stimulus.
So, distribution of X is given by:
X~ N( 0.4, 0.005)
Where σ= 0.05 and µ= 0.4
Solving this ques by using normal standard deviation and z score given as:
z=\frac{x-µ}{σ}
Applying formula:
P(X>0.5)= P{(x-µ/σ) > (0.5-µ/σ)} P {Z > (0.5-0.4/0.05)}
=P(Z > 2)
By using complement rule we get,
P(Z>2) = 1- P(Z<2)
Using normal standard table we have,
P(Z>2)=1- P(Z<2)
= 1- 0.97725
= 0.02275
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The probability that a reaction requires more than 0.5 seconds is 0.0227
Z-score standardization:
The amount of standard deviations the data point deviates from the mean is shown by the standardized z-score.
• If the z-score increases when it is higher than the mean (0).
• If the z-score is below the mean and takes a negative value (0).
Given that,
Mean = μ =0.4
Standard deviation = σ =0.005
The probability that a reaction requires more than 0.5 seconds is obtained by;
Let X denotes the reaction time of a driver which follows a normal distribution with a mean of 0.4 seconds and a standard deviation of 0.005 seconds.
P(X > 0.5) = 1 - P(X < 0.5)
= 1 - P(0.4 < X < 0.5) (0.5 - 0.4/0.005)
= 1 - P(25.06)
= 1 - P(252)
From the “standard normal table”, the area to the left of is 0.9773.
P(X > 0.5) = 1 - P(252)
= 1 - 0.9773
= 0.0227
Hence, the probability that a reaction requires more than 0.5 seconds is 0.0227
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Use the number line to plot –3, 1, and 3. Which statements are true? Select all that apply. –3 > 1 –3 = 3 1 < 3 –3 < 1
Answers
Answer:
The answer is –3 < 1
Step-by-step explanation:
-3 is below zero. 1 is above zero. therefore, -3 less than 1
What is the image of the point (-7,5)(−7,5) after a rotation of 180^{\circ}180
∘
counterclockwise about the origin?
Answers
The coordinates of the image of the point (-7, 5) are (7, -5).
We are given point P. The coordinates of the point P are (-7, 5). We perform a transformation on the given point. We rotate the given point about the origin counter-clockwise. The angle of rotation is 180°. We need to find the coordinates of the image of the point after rotation.
Let the new coordinates of the image of the point after rotation be denoted by (X, Y). If the coordinates of the original point are (x, y), then the relations between the coordinates of the point and the image are given below.
X = x*cosθ - y*sinθ
X = (-7)*cos(180°) - (5)*sin(180°)
X = (-7)*(-1) - (5)*(0)
X = 7
Y = x*sinθ + y*cosθ
Y = (-7)*sin(180°) + (5)*cos(180°)
Y = (-7)*(0) + (5)*(-1)
Y = -5
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g) In the figure alongside, AB is an electric pole. When an
electric wire falls, its one end touches the ground at P,
5 m away from the base of the pole. If the length of the wire
from the top of the pole to the ground is 13 m, complete
the following problems.
(i) Find the height of the pole.
(ii)If the other end of the wire touches the grand at Q, 9 m away from the
base to the opposite side of the pole, find the length of the falling wire.
Step by step solution
Answers
The height of the electric pole is 12 m
When an electric wire falls, its one end touches the ground at P, 5 m away from the base of the pole,
base = 5
length of the wire from the top of the pole to the ground is 13 m
Height of the plant can be calculated by pythagoras theorem
h² = p² + b²
13² = p² + 5²
p² = 169 - 25
p = √144
p = 12m
Therefore, the height of the electric pole is 12 m
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3X + 2Y) (6X + 6Y) what is the answer
Answers
Answer:
18X^2 + 18XY + 12YX + 12Y^2
Step-by-step explanation:
you have to moltiplicate the first term with the other two and the same thing for the second term of the first moltiplication
Step-by-step explanation:
what is the question you need an answer for ?
I assume you only need the result of the multiplication of both terms.
remember, when multiplying summary terms, we need to multiply every part of one term with every part of the other term.
(3x + 2y)(6x + 6y) = 18x² + 18xy + 12xy + 12y² =
= 18x² + 30xy + 12y²
The scatterplot illustrates the relationship between distance and success rate of field-goal attempts for a sample of football kickers.
Which of the following is an accurate description of the scatterplot?
The kickers have unusually low success rates when the distance is large.
The kickers have unusually high success rates when the distance is small.
As the distance of the attempt increases, the kickers have a lower success rate for their field goals.
As the distance of the attempt increases, the kickers tend to have a lower success rate for their field goals.
Answers
The statement that best describes the relationship that is displayed by the scatter plot is: D. As the distance of the attempt increases, the kickers tend to have a lower success rate for their field goals.
What is a Scatter Plot?A scatter plot is used to show the relationship between two variables that are different, whereby the trendline formed by each data point determines whether the relationship between the two variables is negative or positive.
If the trendline slopes upwards, it is positive, if it slopes downwards, it is negative.
If it is negative, it means as one variable increases, the other one decreases. On the other hand, if it is positive, it implies that as one variable increases, the other variables decreases.
The scatter plot given shows that the relationship between the distance of the attempt and success rate is negative. This implies that, as the distance of the attempt increases, the success rate decreases.
Therefore, the accurate description is: D. As the distance of the attempt increases, the kickers tend to have a lower success rate for their field goals.
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Answer:
D. as the distance of the attempt increases, the kickers tend to have a lower success rate for their field goals.
Step-by-step explanation:
a random sample of 196 bottles of cologne showed an average content of 4 ounces. it is known that the standard deviation of the contents (i.e., of the population) is 0.7 ounces. in this problem, what is the 0.7?
Answers
In this problem 0.7 is the standard deviation of the contents.
Define standard deviation.It is a statistic that gauges a dataset's dispersion from its mean, and it is calculated as the variance's square root. By calculating the deviation of each data point from the mean, the standard deviation may be determined as the square root of variance. The standard deviation reveals the degree of data skewedness. It gauges how far away from the mean each observed value is. Approximately 95% of values in any distribution will be within two standard deviations of the mean. A dataset's dispersion from its mean is measured by standard deviation. It is determined as the variance's square root. In the financial industry, standard deviation is frequently employed as a gauge of an asset's relative riskiness.
Given,
A random sample of 196 bottles of cologne showed an average content of 4 ounces. it is known that the standard deviation of the contents (i.e., of the population) is 0.7 ounces.
In this problem 0.7 is the standard deviation of the contents.
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23. Amy says, "To find 50 x 20, I multiply 5 x 2 and then place the total number of zeros in both factors at the end." Do you agree? Explain.
Answers
That is one way to find out the answer
Can anyone write the equation of the graph?
Answers
The equation of the graph represented by the figure is f(x) = |x - 3| + 5
How to find the equation of the graph line?From the question, we have the following graph that can be used in our computation:
The graph is an absolute value graph
As a general rule, an absolute value is expressed as
y = |x - h| + k
In this case, the vertex is
Vertex = (h, k)
As a general rule, the vertex of a function is the minimum point on the graph
On the given graph, the minimum point is (3, 5)
This means that
(h, k) = (3, 5)
Substitute the values (h, k) = (3, 5) in the equation y = |x - h| + k
So, we have the following representation
y = |x - 3| + 5
Rewrite the equation as a function
f(x) = |x - 3| + 5
Hence, the equation is f(x) = |x - 3| + 5
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Complete the two column proof.
Answers
The two-column table to prove ∠ABC ≅ ∠DBE using the angle addition postulate is presented as follows;
Statements [tex]{}[/tex] Reasons
1. ∠ABD is a right angle [tex]{}[/tex] 1. Given
∠CBE is a right angle
2. ∠ABD are complementary [tex]{}[/tex] 2. Definition of complementary angles
3. ∠CBE are complementary [tex]{}[/tex] 3. Definition of complementary angles
4. ∠ABC ≅ ∠DBE [tex]{}[/tex] 4. Congruent complements theorem
What is the angle addition postulate?The angle addition postulate states that the when two angles are placed side by side such that they share a common ray, the measure of the angle formed by the two angles is the sum of the measure of the individual angles.
∠ABD = ∠ABC + ∠CBD (angle addition postulate)
∠ABD = 90° (definition of right angle)
∠ABC + ∠CBD = 90° (substitution property of equality)
∠ABC and ∠CBD are complementary (definition of complementary)
Similarly
∠CBE = ∠CBD + ∠DBE (angle addition postulate)
∠CBE = 90° (definition of right angle)
∠CBD + ∠DBE = 90° (substitution property of equality)
∠CBD and ∠DBE are complementary (definition of complementary)
∠ABC is a complementary angle to ∠CBD and ∠DBE is a complementary angle to ∠CBD
Therefore;
∠ABC is congruent to ∠DBE (congruent complements theorem)
∠ABC ≅ ∠DBEThe congruent complement theorem states if an angle ∠A is a complement to an angle ∠C and if an angle ∠B is also a complement of angle ∠C then ∠A is congruent to ∠B.
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A carpenter needs 8.5 feet of rope for a project. How much will the carpenter spend if the rope costs $4.57 per foot?
Answers
Answer: The carpenter will spend $38.84
Step-by-step explanation:
8.5 feet of rope and the rope costs 4.57 per foot
8.5x4.57=38.845
Since half a cent does not exist we can get rid of the 5 at the end
Therefore the carpenter will have to spend $38.84
Unless you want to round it up, then it will be $38.85
31.24 to 1 deecimal place
Answers
Round 31.24 to 1 decimal place:
31.2
Answer:31.2
Step-by-step explanation:
you remove the 4 because it is less than 5.
Evaluate y² ÷ 8 if y = 4
I wasn't here when they learned this old show work
Answers
Answer:
2
Step-by-step explanation:
y² = 4²= 16 (in substitution way)
16÷8= 2
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Answer:
2
Step-by-step explanation:
y^2/8
4^2/8
16/8
2
Hopes this helps please mark brainliest
Sasha is studying a type of coral that grows at a constant rate. Every month, she visits two pieces of the coral and measures their heights. She made this table:
Month 1 2 3
Piece A's height (cm) 24 26 28
Piece B's height (cm) 27 29 31
When Piece A's height is 49cm, what will Piece B's height be?
Answers
Answer:
Step-by-step explanation: The constant growth for Plant A is two cm a month and the growth of Plant B is also two cm a month.
In relation, Plant B will also be 3cm taller than Plant A on any month so when Plant A is 49cm, Plant B is 52.
When Piece A's height is 49 cm then the Piece B's height will be 52 cm.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
We can see that Piece A's height increases by 2 cm each month and Piece B's height increases by 2 cm each month as well.
To find out what Piece B's height will be when Piece A's height is 49 cm, we need to find how many months it will take for Piece A to reach 49 cm.
From Month 1 to Month 2, Piece A's height increased by 2 cm, and from Month 2 to Month 3, Piece A's height increased by another 2 cm. Therefore, Piece A's height increases by 2 cm per month.
To go from 28 cm (Piece A's height in Month 3) to 49 cm, it takes 21 cm ÷ 2 cm/month = 10.5 months.
So 10.5 months after Month 3 is Month 13.5.
In Month 13.5, Piece A's height will be 49 cm and Piece B's height will be:
Piece B's height in Month 3 + 2 cm/month × (13.5 - 3 months)
= 31 cm + 2 cm/month × 10.5 months
= 52 cm
Therefore, when Piece A's height is 49 cm, Piece B's height will be 52 cm.
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In ΔTUV, m∠T = 58° and m∠U = 97°. Which list has the sides of ΔTUV in order from longest to shortest?
Answers
The angle ∠U is the largest in triangle ΔTUV. Then the largest side will be TV.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
In ΔTUV, m∠T = 58° and m∠U = 97°.
Then the third angle of the triangle will be given as,
∠T + ∠U + ∠V = 180°
58° + 97° + ∠V = 180°
155° + ∠V = 180°
∠V = 180° - 155°
∠V = 25°
In a triangle, the opposite angle of the largest side will be the largest one.
The angle ∠U is the largest in triangle ΔTUV. Then the largest side will be TV.
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s 3)
3) Find the measure of 4A:
5x
130⁰
5x
Please help
Answers
180 - 130 = 50
50 / 2 (angles left that we know they are congruent) equals: 25
Answer : angle A = 25
What is the equation of the line in slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer:
y = [tex]\frac{1}{6}[/tex] x + 9
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 9) and (x₂, y₂ ) = (6, 10) ← 2 points on the line
m = [tex]\frac{10-9}{6-0}[/tex] = [tex]\frac{1}{6}[/tex]
the line crosses the y- axis at (0, 9 ) ⇒ c = 9
y = [tex]\frac{1}{6}[/tex] x + 9 ← equation of line
reggiethenerd10 what is (8.7 + 3.3) x (1/2) 2 to the second power
Answers
Answer:
3
Step-by-step explanation:
The value of the operation is 3.
The first step is to solve for the terms in the brackets.
The decimals would be added first 8.7 + 3.3 = 12
The second step is to determine the square of one-half² = x = 1/4
The third step is to multiply, 1/4 by 12 1/4 x 12 = 3
on saturday leon biked an average speed of 14.5 miles per hour for 1.5 hours. then on sunday he biked an average speed of 15 miles per hour for 2.75. what was the total distance leon biked in miles that weekend
Answers
The total distance leon biked in miles that weekend is 19.5 miles.
The answer provided below has been developed in a clear step by step manner.
On Saturday, Leon biked 1.5 hours at a speed of 14.5 miles per hour that means distance = 14.5 * 1.5 = 21.75 miles
On Sunday, he biked 2.75 hours at a speed of 15 miles per hour that means distance =15 * 2.75 =41.25 miles
Distance = speed*time use this formula
He farther did in sunday = 41.25 - 21.75 miles = 19.5 miles
Therefore, that weekend Leon rode his bike a total of 19.5 miles.
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Which of these is not the net of a cube?
a)
b)
B
C
D
Only 1 attempt allowed
Answers
Answer: b)
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1/2 : 2/3 = X:1
[1 mark]
Answers
The value of X for the given equation is X = 3/4.
What are the ratio and proportion?A percentage is the equality of two ratios, while a ratio is the divisional comparison of two numbers. As well as being written as x: y or x/y, ratios are sometimes expressed as x is to y.
A proportional equation declares that two ratios are similar on a comparative basis. A ratio means that x is to y as z is to w and is represented as x: y: z: w. Since w and y are not equal in this situation, x/y = z/w.
The given equation is
1/2 : 2/3 = X:1
We can rewrite it as
(1/2)/ (2/3) = X
X = 1/2 × 3/2
X= 3/4
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PLEASE HELP will mark brainliest
Answers
The slope of the given line in the graph is 0.
What is slope?
The steepness and direction of a line are measured by its slope. Any two points along the line can be used to calculate it. A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x). The Slope, also known as the Gradient, of a straight line displays how steep the line is. The change in y coordinate relative to the change in x coordinate is known as the slope of an object.
Here the given graph points are,
[tex](x_1-y_1)=(1,1)\\(x_2,y_2)=(4,1)[/tex]
Using slope formula ,
=> slope m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
=> slope m = [tex]\frac{1-1}{4-1}[/tex]
=> slope m = 0/3
=> slope m=0.
Therefore slope of the line is 0.
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Irma and Cindy went to an arcade where the machines took tokens. Irma played 9 games of
skee ball and 10 games of pinball, using a total of 58 tokens. At the same time, Cindy played
5 games of skee ball and 4 games of pinball, using up 26 tokens. How many tokens does
each game require?
Every game of skee ball requires how many tokens?
and every game of pinball requires how many tokens?
Answers
Every game of skee ball game requires 2 tokens and every game of pin ball game require 4 tokens.
Given that,
Cindy and Irma visited an arcade where the games accepted tokens. Irma used 58 tokens in total while playing 9 games of skee ball and 10 games of pinball. Cindy used up 26 tokens playing 5 games of skee ball and 4 games of pinball concurrently.
We have to find how many tokens are needed for each game. How many tokens are required for each skee ball game.
Let us take the skee balls as x and the pin ball as y.
We get,
9x+10y=58---> equation (1)
5x+4y=26---> equation (2)
Multiply equation (1) with 5 and equation (2) with 9.
5(9x+10y=58)⇒45x+50y=290
9(5x+4y=26)⇒45x+36y=234
------------------------ (subtracting those equation)
0+14y=56
14y=56
y=56/14
y=4
Substitute y=4 in equation(2)
5x+4y=26
5x+4(4)=26
5x+16=26
5x=26-16
5x=10
x=10/5
x=2
Therefore, Every game of skee ball game requires 2 tokens and every game of pin ball game require 4 tokens.
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Given that f(x) = x² + 4x, evaluate f(-2). -12 -8 -4
Answers
Answer:
-4
Step-by-step explanation:
(-2)^2 + 4(-2) =
= 4 - 8 =
= -4