Given ΔPQR and ΔSTU, what is m∠Q?

Given PQR And STU, What Is MQ?

Answers

Answer 1

Given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Similar TrianglesThe ratios of the corresponding sides of similar triangles are always equal to each other, that is, the corresponding sides are proportional.Also, corresponding angles of two similar triangles are congruent.

Thus:

ΔPQR and ΔSTU are similar because:

PQ/ST = PR/SU = QR/TU = 3.5

Therefore,

m∠Q = 180 - 70 - 46

m∠Q = 64°

Thus, given that ΔPQR and ΔSTU are similar triangles, m∠Q = 64°.

Learn more about similar triangles on:

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Related Questions

Which list shows the numbers ordered in ascending order

Answers

C

Step-by-step explanation:

C is the only one that goes greater and greater

C. [tex]-2\frac{3}{8}[/tex] < -8/6 < -0.85 < 0.8 < 4/3 < 140% in ascending order.

What is ascending and descending order ?

In ascending order we write numbers from smaller to greater and in descending order we write numbers from greater to smaller.

According to the given question we have list of fractions decimals and percentages and we have to write them in ascending order.

given [tex]-2\frac{2}{8}[/tex], - 0.85, 4/3, 140%, -8/6, 0.8.

Now let convert all these into one form we choose to convert them in percentage.

[tex]-2\frac{3}{8}[/tex] is -19/8 = -2.375 = -237.5 %.

-0.85 = - 85%.

4/3 = 133%.

140% = 140%

-8/6 = -133%

0.8 = 80 %.

∴   [tex]-2\frac{3}{8}[/tex] < -8/6 < -0.85 < 0.8 < 4/3 < 140%.

learn more about ascending and descending order here :

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What is the equation of the line that is perpendicular to the line through (1,-4) and (-2,2) and passes through the x-intercept of that line?

Answers

Answer:

y=-[tex]\frac{1}{2}[/tex]x+[tex]\frac{3}{2}[/tex]

Step-by-step explanation:

First, calculate the slope of the line that is perpendicular to the equation of line we are asked to find

m=(y2-y1)/(x2-x1)

  =(2-(-4))/(-2-1)

  =6/-3

  =-2

in this equation the slope is 2, and to find the first equation, use y=mx+b

use the point (1, -4) to find b

-4=(2)(1)+b

-4=2+b

b=-6

the first equation of the line is y=2x-6

to find the x intercept of that line substitute 0 for y

0=2x-6

2x=6

x=3

the slope of a line perpendicular to this would be the opposite reciprocal of the slope which would be equal to -1/2

for the second equation of the line to pass thorugh the x-intercept of the first line, it must pass through (3, 0), so substitute and solve for b

y=mx+b

0=(-1/2)(3)+b

b=3/2

thus the equation of the line that is perpendicular to the line through (1,-4) and (-2, 2) and passes through the x intercept of that line is y=-[tex]\frac{1}{2}[/tex]x+3/2

The equation of the line that is perpendicular to the line through (1,-4) and (-2,2) is [tex]y= \frac{1}{2}x+3[/tex]

The equation of the line perpendicular to the line passing through the points (x₁, y₁) and (x₂, y₂) is given as:

[tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]

The slope m is calculated using the formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{2-(-4)}{-2-1} \\\\m=\frac{6}{-3} \\\\m=-2[/tex]

For the line passing through the points (1,-4) and (-2,2), substitute m = -2, x₁ = 1, and  y₁ = -4 into the equation [tex]y-y_1=\frac{-1}{m} (x-x_1)[/tex]

[tex]y-1=\frac{-1}{-2} (x-(-4))\\\\y-1=\frac{1}{2}(x+4)\\\\y=\frac{1}{2}x+2+1\\\\y= \frac{1}{2}x+3[/tex]

Learn more on equation of a line here: https://brainly.com/question/13763238

i giveeeeeeeeeeee brainlilstttttttttttttttt

Answers

X=-7 Y=+12............

GIVE THE CORRECT ANSWER AND I WILL THANK, RATE 5 STARS, AND GIVE BRAINLIEST!!!
System Of Equations:
Solve by substitution:

y = x + 3

7x - y = 3

Group of answer choices

(1 , 4)

(-1 , -4)

(-1 , 4)

(1 , -4)

Answers

Answer:

(1, 4)

Step-by-step explanation:

subsitute y=x+3 into the 2nd equation, which you will get 7x-(x+3)=3

get rid of the (), which you will get 7x-x-3=3

combine like terms and get 6x-3=3

move 3 to the other side and divide both sides by 6 and get x=1

use the first equation y=x+3 and subsitude 1 for x and get y=1+3

y=4

Question 9 Multiple Choice Worth 1 points) (03.01 MOO) 13 Simplify​

Answers

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{\frac{ \sqrt[4]{ \\ 3} }{ \sqrt[5]{3} } }[/tex]

Note : For a problem like this, all we have to do is Rewrite the problem in exponential form to give us an answer of :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bold{ {_3}\cfrac{1}{20} }[/tex]

[tex]\therefore[/tex]The correct part of the problem is A) [tex] \bold{ {_3}\cfrac{1}{20} }[/tex]

Middle School A and Middle School B both planned trips to Washington D.C. using the
same rental company. Middle School A rented 6 vans and 6 buses for its 186 students.
Middle School B rented 2 vans and 4 buses to transport its 110 students. How many
students do the rental vans seat? How many students do the rental buses seat?

Answers

Answer:

each van can transport 15 students

Step-by-step explanation:

186 divied by 2 and you get 93 then you divied that by 6 and you get 15.5 you cant have .5 sutdents on a van so you round down and get 15 students.

is a square + b square is equal to 49 is a line equation is one variable​

Answers

Answer:

Yes

Step-by-step explanation:

Seven multiply seven =49

Answer:

Mathematics Solutions Solutions for Class 8 Math Chapter 13 Equations In One Variable are provided here with simple step-by-step explanations. These solutions for Equations In One Variable are extremely popular among Class 8 students for Math Equations In One Variable Solutions come handy for quickly completing your homework and preparing for exams. All questions and answers from the Mathematics Solutions Book of Class 8 Math Chapter 13 are provided here for you for free. You will also love the ad-free experience on Meritnation’s Mathematics Solutions Solutions. All Mathematics Solutions Solutions for class Class 8 Math are prepared by experts and are 100% accurate

Find each missing number
Z
+ 179
496​

Answers

Answer:

317

Step-by-step explanation:

496 - 179 = 317. Z = 317.

Two pools are leaking After 15 minutes pool A has leaked 2/3 gallon After 20 minutes pool B has 3/4 gallon Which pool is leaking faster

Pls fast

Answers

hope it will help you...........

Can someone please help me

Answers

Answer:

12:15

3 goes into both of these numbers so then becomes

4:5

cannot be reduced any further

answer

4:5

3 2/3 divide 1 2/7 in simplest form

Answers

Answer:

2 23/27

Step-by-step explanation:

3 2/3 / 1 2/7

= 11/3 / 1 2/7

= 11/3 / 9/7

= 77/27

= 2 23/27

Hope it helped!

what the other person said

Answer:

2 23/27

Step-by-step explanation:

3 2/3 / 1 2/7

= 11/3 / 1 2/7

= 11/3 / 9/7

= 77/27

= 2 23/27

please help me with my homework

Answers

Answer:

[tex]AD = 6[/tex], [tex]DC = 14[/tex], [tex]\angle A = 114^{\circ}[/tex], [tex]\angle B = 66^{\circ}[/tex], [tex]\angle C = 114^{\circ}[/tex]

Step-by-step explanation:

From Euclidean Geometry, parallelograms satisfy the following properties:

1) [tex]\angle A = \angle C[/tex], [tex]\angle B = \angle D[/tex]

2) [tex]\angle A +\angle D = \angle D + \angle C = \angle C +\angle B = \angle A+\angle B = 180 ^{\circ}[/tex]

3) [tex]AD = BC[/tex], [tex]AB = DC[/tex]

By 3):

[tex]AD = 6[/tex]

By 3):

[tex]DC = 14[/tex]

By 2):

[tex]\angle A = 180^{\circ}-\angle D[/tex]

[tex]\angle A = 180^{\circ}-66^{\circ}[/tex]

[tex]\angle A = 114^{\circ}[/tex]

By 1):

[tex]\angle B = 66^{\circ}[/tex]

By 1):

[tex]\angle C = 114^{\circ}[/tex]

Please help this is for another person who doesn’t know the answer :)

Answers

Answer:

The answer is,

[tex]x = \frac{4 + \sqrt{19} }{6}, \frac{4 - \sqrt{19} }{3} [/tex]

Lisa has 5 Pink, 3 Red and 12 Blue balls. What is the probability of randomly picking up a Red or Pink ball?

Answers

There are a total of 20 balls, 8 of which are red or pink . 8/20 reduced is 2/5
It’s there if you go 5 dagres up

Given the ABC, where A(4,3), B(2,-1), and C(-2,1). Use the slope and distance formula to classify the triangle.​

Answers

It might be 2 not 100 percent sure

Answer:

isosceles (based on sides) and right triangle (based on angles)

Step-by-step explanation:

This is an isosceles triangle because two of the sides are the same distance (it is in cm.). This is also a right triangle because at point B the two lines are perpendicular (using their slopes).

Please help me I will mark you BRAINLIST

Answers

Answer:

probably 300

Step-by-step explanation:

I have no idea I'm in 6 grade sorry

Which congruent theorem can be used to prove..

Answers

Answer:

Two angles and the non-included side of one triangle are congruent to the corresponding parts of another triangle. Which congruence theorem can be used to prove that the triangles are congruent? Two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle.

X+8=0 in standard form please show work

Answers

Step-by-step explanation:

X + 8 = 0

- 8 -8

X = -8

Answer: -8

John is going camping, and he needs to buy a tent. The outdoor store has one that cost $90, but it's on sale for 25% off. What is the sale price?

A.$22.50
B.$65.00
C.$67.50
D.$112.50

Answers

Answer:

A

Step-by-step explanation:

Okay so, im not the best at explaining, but so we have a percentage. its 25%. you want to take the 25% and put it over 100 because a percentage is a number or ratio expressed as a fraction of 100. so it will be written as 25%/100

divide 25 by 100 and you get 0.25, correct? so that's one step further towards the answer.

then we write x/90 because we don't know (well we do) what we're gonna put. but, we're gonna multiply 0.25 by 90 and we get 22.5, which is equivalent to 22.50.

The answer is A akbdjbd d

a greater number than -8​

Answers

Practically anything above -8
Such as -7, 2, 15600, anything not under -7.9

I will give brainiest to whoever answers correctly !!

Answers

Answer:

The graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.

Step-by-step explanation:

This can be determined using the formula for calculating the future value (FV) formula as follows:

FV = PV * (1 + r)^n ................................. (1)

Where;

FV = Future value or the amount the graduate will have at end of 36 months = ?

PV = Present value or the total amount invested = Cash gifts from friends and relatives + Amount of 3 scholarships he received = $900 + $250 + $300 + $1,400 = $2,850

r = daily interest rate = 1% / 360 = 0.01 / 360 = 0.0000277777777777778

n = number of days = 36 months * 360 days = 12,960

Substituting the values into equation (1), we have:

FV = $2,850 * (1 + 0.0000277777777777778)^12,960

FV = $2,850 * 1.43332224806396

FV = $4,084.96840698229

Approximating to the nearest cent as required, we have:

FV = $4,084.97

Therefore, the graduate will have $4,084.97 when he cashes in the CD at the end of the 36-months.

What is the equation of the line that passes through the point (−2,−6) and has a slope of -3/5

Answers

Answer:

y= -3/5 x -7.2

Step-by-step explanation:

-6 = 6/5 + b

b= - 7.2

Sand falls onto a conical pile at the rate of 10 cubic feet per minute. The radius of the pile is always equal to one half it altitude. How fast is the altitude of the pile increasing when the pile is 5 feet high?​

Answers

Answer:

Either one of these.

Step-by-step explanation:

volumepile=1/3 (PI r^2)h

but r=h/2, so

volume=1/12 PI h^3

dv/dt=10 ft^3/min

but dv/dt=1/12 PI 3h^2 dh/dt

solve for dh/dt

This assumes you mean by "altitude" the height. If you mean altitude as slant height, you have to adjust the fromula

_______________________________________________

given: r = h/2

V = (1/3)π r^2 h

= (1/3)π (h/2)^2 (h)

= (1/12) π h^3

dV/dt = (1/4)π h^2 dh/dt

for the given data ...

10 = (1/4)π(25)dh/dt

dh/dt = 10(4)/((25π) = 1.6/π feet/min

Solve for x
5x + 2 = 17

Answers

Answer:

r

Step-by-step explanation:

r

Answer:

Step-by-step explanation:

Here you go mate

Step 1

5x+2=17  Equation/Question

Step 2

5x+2=17  Simplify

5x+2=17

Step 3

5x+2=17  Subtract 2

5x=15

Step 4

5x=15  Divide

answer

x=3

Hope this helps

write an absolute value inequality for the graph below.
use x for your variable.

Answers

Step-by-step explanation:

The magnitude of x is equal or less than 7.

=> We have |x| <= 7.

Question 13 please I really need help and if you can show your work thank you

Answers

Answer:

20.34 % of annual net income is spend on food.

Step-by-step explanation:

Amount spend on food = $7104

Annual net income = $ 34,910

We need to find what percent of their annual net income is the amount spend on food.

The Formula used will be:

[tex]Percentage=\frac{Amount\:spend\:on\:food}{Annual\:net\:income}\times 100[/tex]

Putting values of amount spend on food and Annual net income and finding percentage

[tex]Percentage=\frac{7104}{34910}\times 100\\Percentage=0.2034 \times 100\\Percentage=20.34\%[/tex]

So, 20.34 % of annual net income is spend on food.

need help with this

Answers

Answer:

There are 3 parts yellow and when mixed with the blue, we end up 5 parts. So its 3 to 5

Step-by-step explanation:

Answer:

3:5

Step-by-step explanation:

I think that it's 3:5 because

Mixed paint:3+2=5

Yellow:3

yellow : mixed paint

3:5

12x12x12x10.4 in a ahedron

Answers

Answer:

it 17971.2 ;)

Step-by-step explanation:

4a + 3 2y 5a 7 + 4y
Need to simplify

Answers

Answer:

it is 9a+6y+10

Step-by-step explanation:

Answer:

9a+10+6y

Step-by-step explanation:

a banker pays 564 for a bill of 600 due at 6 months hence. What is the rate percent per annum the bank has deducted from the bill ?

Answers

it is 50205££29329 diskfkahkdwvifowidjwkskskd s a a a s a a. a a

Answer:

Rs.18

Explanation:

[tex]T= 6 months = 1/2 year[/tex]

[tex]R=6[/tex]%

[tex]TD=\frac{BD(100)}{100+TR} = \frac{18.54(100)}{100+((\frac{1}{2}) 6)}=Rs.18[/tex]

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