Given that the quadrilateral is a parallelogram, m∠S = + 19 and m ∠T = 8x - 4, what is m∠Q?
Answers
Answer:
32
Step-by-step explanation:
Brainlist plz
Answer:
[tex]\Large \boxed{161\°}[/tex]
Step-by-step explanation:
Adjacent angles in a parallelogram add up to 180 degrees.
m∠Q and m∠S add up to 180 degrees.
m∠Q + m∠S = 180
m∠Q + 19 = 180
Subtract 19 from both sides.
m∠Q + 19 - 19 = 180 - 19
m∠Q = 161
Related Questions
sam ran 63,756 feet in 70 minutes what is sams rate in miles per hour? (there are 5,280 feet in one mile)
Answers
Divide total feet by feet in a mile:
63,756/5280 = 12.075 miles
Divide 70 minutes by 60 minutes per hour:
70/60 = 1.166666 hours( round to 1.17)
Miles per hour = total miles/ total hours:
12.075/1.17 = 10.32 miles per hour
Select the correct answer. If x and y are positive real numbers, which expression is equivalent to the expression below? (125x^4y3/2)1/3÷(xy)1/2
Answers
Answer:
5x^(5/6)
Step-by-step explanation:
we will use properties of exponents
x^a/x^b = x^(a-b)
and
x^a * x^b = x^(a+b)
___________________________________
(125x^4y3/2)1/3÷(xy)1/2\\
expanding each term by taking power for each component of expression
=>125^(1/3) x^(4/3) y(3/2*1/3) ÷ x(1/2)y(1/2)
=>5*x^(4/3) y(1/2) ÷ x(1/2)y(1/2)
using property = x^a/x^b = x^(a-b)
=>5x^(4/3 - 1/2) y^(1/2 -1/2)
y^(0) = 1
=> 5x^((4*2-3)/3*2) *1
=> 5x^(5/6)
Thus, value of expression is 5x^(5/6)
Given: D is the midpoint of AB; E is the midpoint of AC.
Prove: DE BC
y
Complete the missing parts of the paragraph proof.
Proof:
To prove that DE and BC are parallel, we need to show
that they have the same slope.
slope of DE = 12-11=_C-C
X2 - x1 a + b - b
A(2b, 2c)
D(b, c)
Ela + bc)
slope of BC =
B(0,0)
C(2a, 0)
Therefore, because
DE 1 BC.
Answers
Answer:
The lines DE and BC have the same slope, therefore the two lines, DE and BC, are parallel
Step-by-step explanation:
To prove that DE is parallel to BC, we have;
The slope, m of the lines DE and BC are found from the following equation;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Where;
(x₁, y₁) and (x₂, y₂) = (b, c) and (a + b + c) for DE, we have;
[tex]Slope, \, m =\dfrac{c - c}{a + b-b} = 0[/tex]
Where we have (x₁, y₁) and (x₂, y₂) = (0, 0) and (2a, 0) for BC, we have;
[tex]Slope, \, m =\dfrac{0 - 0}{2a-0} = 0[/tex]
Therefore, because the lines DE and BC have the same slope, the two lines DE and BC are parallel.
Answer:
slope of DE = 0
slope Bc = 0
slopes are =
Step-by-step explanation:
find the lowest number which leaves 3 as remainder when divided by 8,12 and 16
Answers
Answer:
147 is one such number and least number. This discussion on What is the least number which when divided by 8, 12 and 16 leaves 3 as the remainder in each case, butwhen divided by 7 leaves no remainder?
Express as a trinomial.
(3x+5)(2x+9)
Answers
Answer:
[tex]6x^{2} +37x+45[/tex]
Step-by-step explanation:
Hello!
A trinomial is a algebraic expression containing 3 terms
To turn this into a trinomial we have to multiply everything by each other
3x
3x * 2x = 6x^2
3x * 9 = 27x
5
5 * 2x = 10x
5 * 9 = 45
Now we put it all together
6x^2 + 27x + 10x + 45
Combine like terms
6x^2 + 37x + 45
The answer is [tex]6x^{2} +37x+45[/tex]
Hope this helps!
Give one pair of supplementary angles and one pair of vertical angles shown in the figure below.
(a) Supplementary angles:
(b) Vertical angles:
Answers
Answer:
<5 and <6 are supplementary angles
<1 and <6 are vertical angles
The eighth term of a linear sequence is 26. The term-to-term rule is 'add 3
Work out the fourth term of the sequence.
Explain the method you used to solve this problem.
Answers
Let a be first term
[tex]\\ \rm\longmapsto a_8=a+7d[/tex]
[tex]\\ \rm\longmapsto 26=a+7(3)[/tex]
[tex]\\ \rm\longmapsto a=26-21[/tex]
[tex]\\ \rm\longmapsto a=5[/tex]
Now
[tex]\\ \rm\longmapsto a_4=a+3d[/tex]
[tex]\\ \rm\longmapsto a_4=5+3(3)[/tex]
[tex]\\ \rm\longmapsto a_4=5+9[/tex]
[tex]\\ \rm\longmapsto a_4=14[/tex]
.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 square feet. Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.
What is the constant of variation?
What is the equation representing the direct variation?
Answers
Answer:
The constant of variation is 1/9
The equation representing the direct variation is y/x= 1/9
Step-by-step explanation:
In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get
y/x = k
3 / 27 = k
(3/27) / (3/3) = 1/9* = k
Therefore, the constant of variation is 1/9
Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation
* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both
The constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
The equation of direct variation is given by,
y = kx ....(i) where "k" is a constant.
Let y represent the number of square yards and x the number of square feet. Then y varies directly with x.
Given that y varies directly with x, and x = 27, then y = 3.
Substitute the values of y = 3 and x = 27 in the direct variation equation and solve for k:
⇒ 3 = 27k
⇒ k = 3/27
⇒ k = 1/9
Substitute the values of k = 1/9 in the direct variation equation :
⇒ y = (1/9)x
Thus, the constant of variation is "1/9" and the equation representing the direct variation is y = (1/9)x.
Learn more about the equations here:
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Marissa drew the triangle shown below.
Answers
Answer:
13.6
Step-by-step explanation:
tan(45)=x÷8.5
1.6=x/8.5
x=13.6
Use the law of sines
x/sin(45) = 8.4/sin(85)
x = sin(45)*8.4/sin(85)
x = 5.96238563941842
x = 6.0
2% of the students at Hamilton Middle School have red hair. There are 700 students at Hamilton Middle
School
How many students at Hamilton Middle School have red hair?
Answers
Answer:
14 students
Step-by-step explanation:
We can set up a percentage proportion to find 2% of 700.
[tex]\frac{x}{700} = \frac{2}{100}[/tex], and we can use the cross products property to find the value of x.
[tex]700\cdot2=1400\\\\1400\div100=14[/tex]
Hope this helped!
Answer:
14 students
Step-by-step explanation:
If two percent of Hamilton Middle School students have red hair, it means that the number of students who have red hair is given by (0.02) * (700) =14 students.
zero of the function f(x)=3x/x2-9
Answers
Answer:
It should equal zero or seven. I think is zero
What the correct answer
Answers
Answer:
653.12 ft²
Step-by-step explanation:
2πrh + 2πr²
2(3.14)(8)(5) + 2(3.14)(8)²
251.2 + ²401.92 = 653.12
Step-by-step explanation:
Here,
radius of a cylinder (r)= 8 ft.
height (h)= 5 ft.
now,
area of a cylinder (a)= 2.pi.r(r+h)
now, putting the values we get,
a = 2×3.14×8(8+5)
after simplification we get,
Area of cylinder is 653.12 sq.ft.
Hope it helps....
I'm stuck, please help
Answers
Step-by-step explanation:
A).[tex] \frac{2}{ \sqrt{x} } [/tex]Using the rules of indices
[tex] \sqrt{x} = {x}^{ \frac{1}{2} } [/tex]So we have
[tex] \frac{2}{ {x}^{ \frac{1}{2} } } [/tex]And also by the rules of indices
[tex] \frac{1}{ {a}^{b} } = {a}^{ - b} [/tex]Applying the rules to the above expression we have the final answer as
[tex]2 {x}^{ - \frac{1}{2} } [/tex]B).[tex] \frac{3}{ {x}^{2} } [/tex]By using the rules of indices
[tex] \frac{1}{ {a}^{b} } = {a}^{ - b} [/tex]Applying the rules to the above expression
We have the final answer as
[tex]3 {x}^{ - 2} [/tex]Hope this helps you
Carrie solved = by cross multiplying to get 4x = 6 and then divided both sides by 4. She got x = which reduced to x = . Is there a faster way to solve this problem?
Answers
Answer:
Ok, when we have an equality, like:
A = B
That says that A is the same as B.
Then if a multiply, divide, add or subtract (or do a lot of other operations) in both sides of the equality, the equality does not change.
I suppose that we start with something like:
(4/3)*x = 2
(i will work with this, because you did not post the actual equations)
the thing that Carrie did is:
She multiplies both sides by 3, and get:
3*(4/3)*x = 2*3
4*x = 6
Now she divides bot sides by 4
4*x/4 = 6/4
x = 6/4 = 3/2.
Now, a simpler step is considerin (4/3) as a number A, then we have:
A*x = 2
Now we divide both sides by A.
A*x/A = 2/A
x = 2/A
and we have A = (4/3) then 1/A = (3/4)
x = 2*(3/4) = 3/2
The circumference of a circle is 14 meters. Which of the following represents the area of the circle
Answers
Answer:
A = 49/pi
Step-by-step explanation:
C = 2 * pi *r
14 = 2 * pi *r
Divide each side by 2 pi
14/2pi = r
7/pi = r
The area is given by
A = pi r^2
A = pi ( 7/ pi)^2
A = pi * 49 / pi^2
A = 49/pi
Answer:
[tex]area = {15.61m}^{2} [/tex]
explanation is attached to the picture
Hope this helps you
describe the type of correlation between two variables on a graph
Answers
Answer:
We often see patterns or relationships in scatterplots. When the y variable tends to increase as the x variable increases, we say there is a positive correlation between the variables. When the y variable tends to decrease as the x variable increases, we say there is a negative correlation between the variables.
Step-by-step explanation:
plz mark as brainlist
The correlation between two variables on a graph gives the relationship between those variables. Depending on the nature of these variables plotted on the graphs, the correlation is named.
What is meant by correlation?In a scatterplot, the data points of an individual with two distinct variables are related. This relationship is called 'correlation'. The relationship between any two variables plotted on any graph is named to be a correlation.Depending on the type of relation between the variables, the correlation is categorized into three major types. They are
i) Positively correlation
ii) Negative correlation
iii) No correlation
What is meant by positively correlated?The variables plotted on a graph are said to be positively correlated, if both the variables increase with respect to each other.E.g.: In a graph, if the values of y increase as the value of x increases, then they are said to be positively correlated.What is meant by negatively correlated?The variables plotted on a graph are said to be negatively correlated, if one of the variables increases, the other variable get decreases.E.g.: In a graph if the values of y decrease as the value of x increases, then they are said to be negatively correlated.What is meant by no correlation?The data points for the two variables are plotted randomly on the graph. If there is no relation between any two points of those two variables, then such a relation is said to be 'no correlation'.E.g.: In a graph, if the values of x and y are randomly located, then there is no correlation between them.Learn more about correlation on a graph here:
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f(x) = x+ bx + 5 In the given function, b is a constant. If f(1) = 0, what is the value of f(3) ?
Answers
Answer:
f(x)= x+bx+5
f(1) = 1+ b(1) +5 =0
f(1) = 6 +b =0
6+b=0
b=-6
so we get,
f(3)= 3 -6(3)+5
f(3) = 3-18+5
f(3) = -10
hope it helps ^°^
another one please help thankyouu!!
Answers
Answer:
f(-2) =2
Step-by-step explanation:
x = -2
We need to use |x| since -2 <-1
|-2| =2
so f(-2) =2
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Find the interquartile range of the data set that consists of 10, 10, 8, 4, 5, 7, 7, 4, 3, 10.
A. 4
B. 10
C. 7
D. 6
Answers
Answer:
I think 10 is the correct answer.
Find the distance between R(-5,-3) and S(4,-2).
Answers
Answer:
√106
Step-by-step explanation:
to calculate the distance between two points on an xoy plane you use the formula
√(x2-x1)²+(y2-y1)²
in this case x1 is -5,x2 is 4,y1 is -3 and y2 is -2 therefore the solution will be
√(4-(-5)²+(-2-3)²
√(4+5)²+(-5)²
√(9)²+(-5)²
√81+25
√106
I hope this helps
Graph the line that passes through the points (-5,1) and (5, -5) and determine the equation of the line.
Answers
Answer:
y = -3/5x - 2
Step-by-step explanation:
y2 - y1 / x2 - x1
-5 - 1 / 5 - (-5)
-6/ 10
= -3/5
y = -3/5x + b
1 = -3/5(-5) + b
1 = 3 + b
-2 = b
Josh biked to the park at an average speed of 14 mph. He returned home at an average speed of 10 mph. If Josh spent a total of 2 1/2 hours for the roundtrip, how many total miles did he bike?
Answers
Answer:
Let the distance from home to the park be x
Going to the park
Distance=vt
x=14t¹ ——(1)
Going back home
x=10t² ——(2)
Total time=t¹+t²
2.5=t¹+t²
Solving equ. 1 and 2 simultaneously
10x=140t¹
14x=140t²
Adding
4x=140(t¹+t²)
24x=140(2.5)
x=14.58 miles
Total distance= 2x
= 29.16miles
Step-by-step explanation:
Need help!
.......................
Answers
Answer:
[tex]24x^{3} \sqrt{5x} -4x^{3} \sqrt{10x}[/tex]
Step-by-step explanation:
[tex]2\sqrt{8x^{3} } (3\sqrt{10x^{4} } -x\sqrt{5x^{2} } )[/tex]
[tex]=2.2x\sqrt{2x} (3x^{2} \sqrt{10} -x^{2} \sqrt{5} )[/tex]
[tex]=4x\sqrt{2x} (3x^{2} \sqrt{10} -x^{2} \sqrt{5} )[/tex]
[tex]=12x^{3} \sqrt{2xx10} -4x^{3} \sqrt{2xx5}[/tex]
[tex]=24x^{3} \sqrt{5x} -4x^{3} \sqrt{10x}[/tex]
OAmalOHopeO
What is 3/8 of 200?
pls show work
35 POINTS!!!
Answers
Answer:
The answer is 75
Step-by-step explanation:
3/8*200=75.
Phoebe took a survey of her classmates' favorite sport. The results are in the table below:
What is the relative frequency of survey members who prefer tennis?
Answers
The choose ( 0.25 )
Relative Frequency = Category Frequency / Total Frequencies
Category Frequency (prefer tennis) = 7
Total Frequencies = 28
Relative Frequency = 7 / 28
Relative Frequency = 0.25
I hope I helped you^_^
The relative relative frequency of survey members who prefer tennis is found to be 0.25.
Relative FrequencyWhat is relative frequency?The ratio of the total number of events that occur in a experiment to the number of times an event occurs is known as relative frequency.
Formula of relative frequency:Relative Frequency = Subgroup frequency/ Total frequency.
Calculation for relative frequency of tennis:Total frequency for the sports is 28.
The frequency for tennis is 7.
The relative frequency of survey members who prefer tennis =
total frequency for tennis/total frequency for all sports
Relative frequency = 7/28
= 0.25
Therefore, the relative frequency for the members who preferred playing tennis is 0.25
To know about frequency distribution, here
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Which value of x satisfies the equation
Answers
Answer:
Does the answer help you?
alguien que me pueda ayudar a hacer mi tarea !!!!
d. En la granja de Don José debe entregar 325, 56 Kg de maiz para alimenter sus animales, pero recibieron ¿cuántos kilogramos de mais les faltó recibin Golamete 100kg
Datos Solución
porfa ayúdame
Answers
Answer:
269 , yo creo nose pero yo creo que necesitas restar sumar o dividir
please help I will mark brainlyest
Answers
Answer:
Choice D.
Step-by-step explanation:
Hello! Me again, this is my explanation to my solution,
A stem-and-leaf plot shows the data shape and the densities of the different classes in a graphical form such that the information in the data such as the data characteristics are self displayed by the data numbers arranged in the stem-and-leaf plot. The stem-and-leaf plot keeps the raw numerical data, in the form they were obtained and by their arrangement, outliers are easily spotted.
Hope this helped! Let me know if you have further questions! :)
Warren has money to go see a movie after he pays $8 for the MOVIE he will have $14 left right and solve an equation to show how much money Warren has before paying for the movie
Answers
Answer:
$(8+14)
Step-by-step explanation:
Amount of money Warren has at first=$8+$14=$22
Beverly made a deposit of 375 into our checking account. Then she
withdraw $65. The next day, she wrote a check for $135. She had 475 before any of these transactions how much money is in her account now?
Answers
Answer:
650
Step-by-step explanation:
475+375-65-135=650