Answer:
[tex]54^\circ[/tex]
Step-by-step explanation:
Given :
[tex]m\angle A=(2x+10)^{\circ}[/tex]
[tex]m\angle B=(3x+15)^{\circ}[/tex]
And angles [tex]\angle A[/tex] and [tex]\angle B[/tex] are complementary angles.
To find:
The measure of [tex]\angle B[/tex].
Solution:
First of all, let us learn about complementary angles.
Complementary angles are the angles whose sum is equal to [tex]90^\circ[/tex].
And we are given that angles [tex]\angle A[/tex] and [tex]\angle B[/tex] are complementary angles.
Therefore [tex]\angle A[/tex] + [tex]\angle B[/tex] = [tex]90^\circ[/tex]
[tex]\Rightarrow 2x+10+3x+15=90\\\Rightarrow 5x+25=90\\\Rightarrow 5x=65\\\Rightarrow x =13[/tex]
Putting the value in [tex]\angle B[/tex].
[tex]m\angle B=(3\times 13+15)^{\circ} = 54^\circ[/tex]
Therefore, the answer is [tex]\bold{\angle B = 54^\circ}[/tex]
Give an example of an EQUATION with no solutions. Explain why it has no solutions?
Answer: 0=1
Step-by-step explanation: This is a false because we know zero can’t equal one. Therefore, we can conclude that the problem has no solution.
(b + 3g)a = 9
solve for a.
Answer: a=
−1
3
b+3
Step-by-step explanation:
Which mathematical symbol would best fill in the blank to compare the two real numbers? (4 points) 7.6 repeating blank square root 55
Answer:
sq55 < 7.6 repeating
Step-by-step explanation:
The square root of 55 is 7.4161984, which is less than 7.66666
Answer:
im pretty sure its sq55 < 7.6 repeating
Step-by-step explanation:
Each person at a picnic chose atleast one piece of a fruit one third of the people chose an apple three -quaters of the people chose a orange what fraction of the people chose both of them
Answer:
-1/12x
Step-by-step explanation:
Let total people at the picnic=x
People who chose apple= 1/3x
People who chose orange= 3/4x
People who chose each of the fruit= People who chose apple + People who chose orange
=1/3x + 3/4x
= 4x+9x / 12
=13/12x
People who chose each of the fruit= 13/12x
what fraction of the people chose both of them?
Fraction of the people who chose both fruits= Total people at the picnic - People who chose each of the fruit
=x - 13/12x
=12x- 13x /12
= -1/12 x
How would you graph y=2x +5?
Answer:
STEP 1. Locate the y-intercept on the graph
- Locate 5 on the y-axis
STEP 2. Use [Rise/Run] method to graph the slope
- Since the slope is 2, [Rise/Run] will be [2/1] which means 2 unit vertically (y), 1 unit horizontally (x)
----------------------
and boom!! That's all!!
----------------------
EXTRA, this is the graph for y=2x+5
Hope this helps!! :)
Please let me know if you have any question
Can anyone help me with my maths questions ? please
Answer:
sure but whats the question
Step-by-step explanation:
Please help!!! keep in mind this is a REVIEW question. Which of the following is NOT a congruence transformation? A. a dilation with scale factor 1 B. a reflection across the y-axis C. a translation 5 units down D. a dilation with scale factor 2
Answer:
Hey there!
A congruence transformation maintains the size of the shape.
Thus, a dilation with scale factor 2 is not a congruence transformation.
Let me know if this helps :)
Help!!! Me on this I would really appreciate
Answer:
13
Step-by-step explanation:
The mean of all the numbers is the sum of the numbers divided by the number of numbers.
The sum of all of the numbers is 10 + 14 + 16 + 12 + 14 + 14 + 11 = 91.
We then divide by 7, getting 13.
Answer:
13
Step-by-step explanation:
The mean of a data set is the average value of the set.
To find the average, we simply need to add all the values and then divide by the number of values.
There are 7 values. So, add all of them and then divide by 7.
[tex]\bar x=\frac{10+14+16+12+14+14+11}{7}[/tex]
Add:
[tex]\bar x=\frac{91}{7}[/tex]
Divide:
[tex]\bar x=13[/tex]
Therefore, our average is 13.
(Note that the x with the bar on the top is a common way to denote the mean.)
Put the following equation of a line into slope-intercept form, simplifying all fractions.
3x + 6y =-24
????? pls help hdjsjddh
In which quadrant is the point (1.-2) located? (Remember to use Roman Numerals to write the quadrant numbers.) C 40 A B
(1,-2) is one point to the right on the x-axis and two points downwards on the y-axis which is point B OR Quadrant IV. try to memorize the quadrants and remember they are read right to left, downward, then left to right.
A star is measured to be 24 kiloparsecs from Earth. A kiloparsec is 1000 parsecs. A parsec is 3.26 light-years. How many light-years away is this star?
Answer:
Hey there!
The star is 24(1000), or 24000 parsecs away.
The star is 24000(3.26), or 86400 light-years away.
Let me know if this helps :)
Mari used a thermometer to record temperatures of -3.4° Celsius and 1.6° Celsius. Which
temperature in degrees Celsius is less than both of the temperatures Mari recorded?
F-2.6 °C
G 3.9 °C
H-5.4 °C
J 0 °C
Answer:
-5.4 C
Step-by-step explanation:
H) because if you create a number line, you'll see that -5 is less than -3 and positive 1.
Answer:
Mari used a thermometer to record temperatures of -3.4° Celsius and 1.6° Celsius.
Which temperature in degrees Celsius is less than both of the temperatures Mari recorded?
Step-by-step explanation:
Grayson works in a department store selling clothing. He makes a guaranteed salary of $350 per week, but is paid a commision on top of his base salary equal to 20% of his total sales for the week. How much would Grayson make in a week in which he made $925 in sales? How much would Grayson make in a week if he made xx dollars in sales?
Answer: 535
0.20x+350
Step-by-step explanation:
If Grayson makes $925 in sales he receives $535 and if he makes x sales then he receives $350 +0.2x
What are percentages?A percentage is a number or ratio that can be expressed as a fraction of 100. If we have to calculate the percent of a number, divide the number by the whole and multiply by 100. Hence, the percentage means, a part per hundred. The word percent means per 100. It is represented by the symbol “%”
Given here he makes a base income of $350 and he also earns 20% of his sales output and thus if he makes $925, his total income is
= 350+0.2×925
=$535
And let Grayson make x sales in one week then his salary will be
= 350+0.2x
Hence, If Grayson makes $925 in sales he receives $535 and if he makes x sales then he receives $350 +0.2x
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PLS COME AND LOOK!!! I NEED YOU GENIUSES!!! I WILL GIVE BRAINLIEST!!!!! AT LEAST COME AND LOOK!!!! WILL FOREVER BE GREAT FULL!!! EASY IM JUST DUMB!! 2 QUESTIONS!!
22. What kind of compound inequality is 1-4x<21 and 5x+2>22?
A) intersection
B) union
20. Which is NOT a function?
A) x+y=3^2
B) x+3=y^2
C) y=x+3^2
D) y=x^2-3
ALSO if you have a kind heart (and want more points) i need help on this one https://brainly.com/question/17322049
Answer:
22.B) union
20.A) x+y=3^2
Step-by-step explanation:
22. The compound inequality [tex]1-4x < 21[/tex] and [tex]5x+2 > 22[/tex] is intersection, option A is correct.
21. [tex]x+y=3^2[/tex] is not a function. Option A is correct.
22. The compound inequality [tex]1-4x < 21[/tex] and [tex]5x+2 > 22[/tex] is an example of a compound inequality involving "and."
Both inequalities need to be satisfied simultaneously for the compound inequality to be true.
Hence, the compound inequality is intersection.
21. A function is a relationship between two variables in which each input value (x) corresponds to exactly one output value (y).
In this case, the equation [tex]x+y=3^2[/tex] does not represent a clear relationship between x and y.
[tex]x+y=3^2[/tex] represents a curve in the xy-plane rather than a function.
Hence, [tex]x+y=3^2[/tex] is not a function.
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x -4 -5 = -8 solve for x
Answer: x=1
Step-by-step explanation:
x - 4 -5 = -8 combine like terms on the left side
x - 9 = - 8 Add 9 to both sides
+9 +9
x = 1
Answer: [tex]x=1[/tex]
What will be the coordinates of point M’ of the image after the rotation (-4,1) (-1,-4) (1,-4) (4,-1)
PLEASE HURRYYYYY !!
Answer: B (-1,4)
Step-by-step explanation:
what is the slope-intercept form of (-2,1) and (4,6)
Answer:
y = [tex]\frac{5}{6}[/tex] x + [tex]\frac{8}{3}[/tex]
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 ) = (- 2, 1) and (x₂, y₂ ) = (4, 6)
m = [tex]\frac{6-1}{4+2}[/tex] = [tex]\frac{5}{6}[/tex] , thus
y = [tex]\frac{5}{6}[/tex] x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 6 ), then
6 = [tex]\frac{20}{6}[/tex] + c ⇒ c = 6 - [tex]\frac{20}{6}[/tex] = [tex]\frac{16}{6}[/tex] = [tex]\frac{8}{3}[/tex]
y = [tex]\frac{5}{6}[/tex] x + [tex]\frac{8}{3}[/tex] ← equation of line
Jason has $15 in his bank account. Every week he saves $5 that he receives from his parents for doing chores around the house. After how many weeks will Jason have $55 in his account?
Answer:
8 weeks
Step-by-step explanation:
Answer:
8 weeks
Step-by-step explanation:
he receives 5 for a week and has 15 in his bank account, so that means we have to subtract 15 from 55 to find how many he has.
55-15=40
1 week= 5
? =40
after you criss -cross you will get..
40*1/5=8 weeks
??? Anyone know how to do this ???
Answer:
B. x ≤ 2.
Step-by-step explanation:
56 - 10x ≥ 20 + 8x
-18x ≥ -36
x ≤ -36/-18 = 2. ( Note that the inequality sign flips because we are dividing by a negative value).
what is 1 3/5 as a improper fraction
Answer:
8/5
Step-by-step explanation:
1= 5/5
3/5 + 5/5
= 8/5
Improper fraction of [tex]1\frac{3}{5}[/tex] is equals to ( 8/5).
What is improper fraction?
" Improper fractions are defined as the fractions whose value of the numerator is equals to or greater than it denominator."
Formula used
Convert Mixed fraction to improper fraction
[tex]r\frac{p}{q}[/tex] = (q ×r +p) /q
According to the question,
Given mixed fraction,
[tex]1\frac{3}{5}[/tex]
Substitute the value in the above formula to get improper fraction,
= (5×1 + 3) / 5
= ( 8 / 5)
Numerator 8 > denominator 5
Hence, improper fraction of [tex]1\frac{3}{5}[/tex] is equals to ( 8/5).
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Directions: Circle the best answer.
7. Which does not represent an integer?
A. O
B.
18
2
C. VO
D.
FE
Type here to search
RI
^ D d
11:48 PM
8/26/2020
The anwser need help
Given: If X, then Y. If Y, then Z. Y is true. So: X is unknown, Z is unknown X is unknown, Z is true X is false, Z is true X is true, Z is true
The correct option that gives a proper logic for the argument that "If X, then Y. If Y, then Z. Y is true" is given by;
Option B; X is unknown, Z is true
This question is based on the principles of logic. Logic helps us distinguish between valid and invalid arguments.Now, the argument here is that;If X, then Y. If Y, then Z. Y is true.
Now, from this argument, we can see that Y depends on X and then Z depends on Y.Now, we are told that Y is true. Since Z depends on Y as seen that If Y, then Z, we can say that Z is also true.However, we can't say anything about X as X is unknown.
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Find the distance between the points (-3, 5) and (6,5)
Answer:
9
Step-by-step explanation:
Since the y coordinates are the same the distance is found by looking at the x coordinates
6 - -3
6+3
9
The distance is 9 units
Two hikers are 88 miles apart and walking toward each other. They meet in 10 hours. Find the rate of each hiker if one hiker walls 4.4 mph faster than the other
The speed of the slow hikeris mph, and the speed of the fast hiker is mph.
(Type integers or decimals.)
Answer:
2.2 and 6.6
Step-by-step explanation:
Given:
Distance = 88 milesTime = 10 hoursRate of hiker 1 = rRate of hiker 2 = r + 4.4Then:
r + r + 4.4 = 88/102r + 4.4 = 8.82r = 4.4r = 2.2 Mph rate of hiker 1r + 4.4 = 6.6 Mph rate of hiker 2
Answer:
0.5
Step-by-step explanation:
if you do 4.4 times 10 you get 44 then you divide 44 by 88 and get 0.5
d. x= -1 and y = -1
Is it perpendicular, neither, of parallel. Show work
Perpendicular.
x = -1 is a vertical line intersecting the x-axis at (-1, 0).
y = -1 is a horizontal line intersecting the y-axis at (0, -1).
Because these lines are both straight, they will eventually intersect at (-1, -1). They will also form 90° angles, the definition of perpendicular.
a basketball team won 10 games and lost 15. what is the ratio of wins to the total number of games
Answer:
The total number of games =25 which is 10+15
then the number of wins are 10.
which is 10/25.
A ratio shows us the number of times a number contains another number. The ratio of wins to the total number of games is 2/5.
What is a Ratio?A ratio expresses the number of times one number contains another. For example, if a dish of fruit contains eight oranges and six lemons, the orange-to-lemon ratio is eight to six. Similarly, the lemon to orange ratio is 6:8, while the orange to total fruit ratio is 8:14.
Given that a basketball team won 10 games and lost 15. Therefore, the total number of games that the team plays is,
Total number of games = games won + games lost
= 10 + 15
= 25
Now, the ratio of wins to the total number of games can be written as,
Ratio = Games Won/ Total number of games
= 10/25
= 2/5
Hence, the ratio of wins to the total number of games is 2/5.
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From least to greatest -3/8, 1/8, -1/4, -3/5, 1/5
Answer: -3/5, -3/8, -1/4, 1/8, 1/5
Step-by-step explanation:
List down all the possible. perfect squares that fall within the given ranks
Answer:
BelowStep-by-step explanation:
(a). 5 to 30
[tex]9,16 , 25[/tex]
(b) . 100 to 200
[tex]100, 121 ,144, 169 , 196[/tex]
(c). 200 to 300
[tex]225,256,289[/tex]
(d). 300 to 400
[tex]324, 361,400[/tex]
(e). 400 to 550
[tex]400 , 441,484,529,[/tex]
Answer:
5-30
(36,49,64,81,100,121,144,169,196,225,256,289,324,361,400,441,484,526,576,625,676,729,784,841,900)
Step-by-step explanation:
The length of a car is 4.5 m. A model of it is made and the length of the model is 12.5 cm.
Find the scale factor.
Answer: 9:25 ?
Step-by-step explanation:
4.5 × 2 = 9
12.5 × 2 = 25
4.5:12.5 ratio simplified is 9:25