Mathematics High School

The figure shows line RS parallel to line UV. The lines are intersected by 2 transversals.
If the measure of angle STV is 108 degrees and the measure of angle RST is 74 degrees, the measure of angle TVU is [blank1] degrees. :|

The Figure Shows Line RS Parallel To Line UV. The Lines Are Intersected By 2 Transversals.If The Measure

Answers

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The measure of angle TVU is 74 degrees.

What is alternate interior angles?

The alternate interior angles are the angles that are formed inside the two parallel lines, when it is intersected by a transversal, and are equal to its alternate pairs.

What is linear pair angles?

Linear pair of angles are formed when two lines intersect each other at a single point.

According to the given question.

m ∠STV = 108 degrees

And,

m ∠RST = 74 degrees

Since, ∠RTS and ∠STV are linear pair of angles.

Therefore,

m ∠RTS + m ∠STV = 180

⇒ m ∠RTS + 108 = 180

⇒ m ∠RTS = 180 - 108

⇒ m ∠RTS = 72 degrees

Now, in ΔRTS we have

m ∠RTS + m ∠TSR + m ∠SRT = 180  (sum of the angles of a triangle is 180 degrees)

⇒ 72 + 74 + m ∠SRT = 180

⇒ m ∠SRT = 180 -146

⇒ m ∠SRT =  34 degrees

Here, ∠SRT and ∠TVU are alternate interior angles.

Therefore,

m ∠SRT = m ∠TVU

⇒ m ∠TVU = 74 degrees.

Hence, the measure of angle TVU is 74 degrees.

Find out more information about alternate interior angles and linear pair of angles here:

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Related Questions

Figure ABCD is transformed to A′B′C′D′, as shown:

A coordinate plane is shown. Figure ABCD has vertices A at 3 comma 1, B at 3 comma 4, C at 5 comma 5 and D at 5 comma 3. Figure A prime B prime C prime D prime has vertices A prime at negative 5 comma 1, B prime at negative 5 comma 4, C prime at negative 7 comma 5 and D prime at negative 7 comma 3.
Which of the following sequences of transformations is used to obtain figure A′B′C′D′ from ABCD? (4 points)

Group of answer choices

Reflection about the x-axis followed by a translation right by 2 units

Reflection about the y-axis followed by a translation left by 2 units

Counterclockwise rotation by 90 degrees about the origin followed by a translation right by 2 units

Counterclockwise rotation by 90 degrees about the origin followed by a translation left by 2 units

thanks to whoever answers this!

Answers

Answer:

Picture please. and answer.

answer this plzzzz!!!

Answers

If x is greater than 7, you use the bottom equation. If X is in between -4 and 7 or equal to 7, use the first equation.

Part A: x is -3 so we use the first equation

X + 7 = ?
-3 + 7 = 4

Part B: again first equation

0 + 7 = 7

Part C:

4 + 7 = 11

Part D:

7 + 7 = 14

Part E: 10 is greater than 7. Use second equation.

-x^2 - 1 = ?

-(10^2) - 1

-100 - 1 = -101

divide inverse function 2x³+1​

Answers

Answer: The Inverse Function goes the other way: So the inverse of: 2x+3 is: (y-3)/2. The inverse is usually shown by putting a little "-1" after the function name, like this: f -1(y) We say "f inverse of y". So, the inverse of f(x) = 2x+3 is written: f -1(y) = (y-3)/2.

Step-by-step explanation:

Hope this helps!

Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Devon just became a personal trainer and is finalizing her pricing plans. One plan is to charg
$51 for the initial consultation and then $48 per session. Another plan is to charge $38 for
the consultation and $49 per session. Devon realizes that the two plans have the same cost
for a certain number of sessions. What is that cost? How many sessions is that?
The cost on either plan is $|
for
sessions.
Submit

Answers

Answer:

13 sessions

The cost for either plan: $675

Step-by-step explanation:

48x + 51 = 49x + 38

51 - 38 = 49x - 48x

13 = x

Rise over run please ??

Answers

Answer:

1 / 1

Step-by-step explanation:

Your line has a 1 to 1 ratio of rise over run.

Find the unknown sizes of angles in the following figure:​

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Answer:

angle x is 86

angle y is 38

Step-by-step explanation:

The height of the tide at the Bay of Fundy in New Brunswick decreases 36 feet in 6 hours. What is the mean hourly change in the height in feet per hour?

help

Answers

Answer:

6 feet per hour

Step-by-step explanation:

36 / 6 = 6

the sales-tax rate in new york is 8 and 1/4%. how much city sales tax would be charged on a purchase of $428.86? what will be the total cost of the purchase

Answers

Answer:

$464.24095

Step-by-step explanation:

8 1/4% = NY sales-tax rate

8 1/4 % = .0825

428.86 x .0825 = 35.38095

428.86 + 35.38095 = $464.24095

HELLOPPPPPPPPPPP PLEASEEE GEOMETRY

Answers

Answer:

the answer is low of contrapositive

A basketball player made 12 out of 15 free throws she attempted.She wants to know how many consecutive free throws she would have to make to raise the percent of successful free throws to 85%. Write an equation to represent this situation.

Answers

Answer:

(12 + x)/(15 + x) = 85/100

Step-by-step explanation:

12/15 = 0.8

She currently has an 80% rate.

To raise it, she needs to make x shots. Since she makes all x shots, we add x to both the number of shots made and attempts.

She will make 12 + x shots in 15 + x attempts.

We want that rate to be 0.85 which is the same as 85%.

(12 + x)/(15 + x) = 85/100

(12 + x)/(15 + x) = 17/20

20(12 + x) = 17(15 + x)

240 + 20x = 255 + 17x

3x = 15

x = 5

Answer:

The equation is (12 + x)/(15 + x) = 85/100.

Solve:
4x + 1.21 > 5
HELP ME PLEASE

Answers

Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]x > 0.9475[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]4x + 1.21 > 5\\\rule{150}{0.5}\\\rightarrow 4x + 1.21 - 1.21 > 5 - 1.21\\\\\rightarrow 4x > 3.79\\\\\rightarrow \frac{4x>3.79}4}\\\\\rightarrow \boxed{x > 0.9475}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

In the graph, what fraction does the arrow point to? ​

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3/4

----------------------

Use simple interest to find the ending balance​

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Answer: 7788.50

Solving steps:
P = 7400, R = 10.5%, T = 6

F = P + P rt
P = 7400
R = 10.5%
T = 6

F = 7400 + 7400rt

7400 x (12 + 6 x 0.105/12

7400 x (12 + 0.63)/12

7400 x 12.63/12

93462/12

15577/12

15577/2 0.01
7788.50
Answer: 7788.50

Can we get enough salt distributed out to the residents of Utah before the zombies over take all of Utah?

options:

Yes, by the time Morton's salt distributes 5,700,000 cans of salt the zombie population will only be 3,670,016


No, by the time Morton's salt distributes 3,300,000 cans of salt the zombie population will be 3,670,016 and the zombies will have taken over


Not enough information is given to know if the zombies will infect all of the residents of Utah.


All of the above

Answers

Answer:

C

Step-by-step explanation:

... thanks for the points btw. Ummm... people ain't zombified... yet?

Answer:

Not enough information is given to know if the zombies will infect all of the residents of Utah?

Please answer this big question nobody ever answers my questions im sad :(

Answers

Answer:

Step-by-step explanation:

1.

3,4,5 will make a triangle.

2.

sum of any sides > third side

difference of any two sides < third side

3+4=7>5

4+5=9>3

5+3=8>4

again

4-3=1<5

5-3=2<4

5-4=1<3

so it makes one triangle.

3.

3,4,8

4.

3+4=7 not >7

again

8-4 =4 not <3

so they do not make a triangle.

( PLASE HELP ME) Solve the following equation.

5(x−4)=−10

Please provide both your answer AND your work. You will not receive full credit if you do not show your work for this question.

Answers

Answer:

x = 2

Step-by-step explanation:

5(x-4) =-10

Distribute 5 by multiplying x and -4 by 5

5x - 20 = -10

Add 20 to both sides

5x - 20 + 20 = -10 + 20

5x = 10

Divide both sides by 5

5x ÷ 5 = 10 ÷ 5

x = 2

-Chetan K

5(x-4)=-10 (multiply 5 to x and -4)
5x-20= -10 (add 20 to -10)
5x=10 (divide both sides by 5)
x=2

Help me!!

1. 6 + 7 = ...
2. 6 - 7 = ...
3. 6 - (-7) = ...
4. -6 - 7 = ...
5. -6 + (-7) = ...

please include the steps!! ​

Answers

Answer:

1. 6+7= 13

2. 6-7= -1

3. 6+7= 13. (- × - = +)

4. -6-7= -13

5. -6-7= -13. (+ × - = -)

>> Answer

_________

[tex] \: [/tex]

1.) 6 + 7 = (5 × 2) + (1 + 2) = 10 + 3 = 13✔

2.) 6 - 7 = (5 - 5) + (1 - 2) = 0 + (-1) = -1✔

3.) 6 - (-7) = 6 + 7 = (5 × 2) + (1 + 2) = 10 + 3 = 13✔

4.) -6 - 7 = (-6) + (-7) = -(6 + 7) = -13✔

5.) -6 + (-7) = -(6 + 7) = -13✔

Find the sum.
(1−5q)+2(2.5q+8)

Answers

Answer:

14.5q+2

Step-by-step explanation:

can someone help me, please?

Answers

Answer:

C. angle bisector

Step-by-step explanation:

Answer:

the third one

Step-by-step explanation:

Hope this helps and hope you have a happy and joyful day <3

Please help!!
What is the scale on the x-axis ?
What is the scale on the y-axis?

Answers

I don’t know but have a awesome day

can anyone helpp meeee???

Answers

Answer:

Look at the photo.................

Can you use the perpendicular bisector theorem to solve for RS?
a)yes
b)no

Answers

Answer: YES! (Option A)

Reasoning:

• A bisector is a Geometric figure line or line segment that intersects a line or shape at the midpoint and divides it into 1/2 or a 1:1 ratio.

• Therefore, a perpendicular bisector is a bisector that intersects a Geometric figure at 90°.

• Because a bisector divides a figure into two equal parts, a perpendicular bisector splits a figure into two congruent parts with a 90° intersection.

• Therefore, with perpendicular bisector RT, segments UR and RS are congruent.

• So, segment UR = 17, which means that segment RS = 17 because the bisector splits it into two halves or congruent parts.

8 to the second power.(2+6) divided by 4=

Answers

i'm a little confused on the format but if you mean 8^2(2+6)/4 then the answer is 128

8x8 is 64, 64x8 is 512. 512/4 is 128

The value of given numerical expression is 128.

The given numerical expression is [8²×(2+6)]/4.

What is the exponent?

Exponent is defined as the method of expressing large numbers in terms of powers. That means, exponent refers to how many times a number multiplied by itself.

Now, the given expression can be solved as follows:

[8²×(2+6)]/4

= (64×8)/4

= 64×2

= 128

Therefore, the value of given numerical expression is 128.

To learn more about the exponents visit:

https://brainly.com/question/15993626.

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Select all statements that are true about the triangles.

Answers

Answer:

D

Step-by-step explanation:

Side andle side

If p = -2 then 4p^3 = ? ​

Answers

Answer:

ok the answer is 2/p4

Step-by-step explanation:

The diagram shows two parallel lines cut by a transversal.


If the measure of ∠3=(2y+20)∘ and the measure of ∠5=(210−4y)∘, what is the measure of ∠4 ?

Enter the correct answer in the box.

Answers

Answer:

∠4 = 110

Step-by-step explanation:

∠3 + ∠5 = 180    {Co-interior angles are supplementary}

2y + 20 + 210 - 4y = 180

2y - 4y + 20 + 210 = 180    {Combine like terms}

-2y + 230 = 180

Subtract 230 from both sides

-2y = 180 - 230

-2y = -50  

Divide both sides by (-2)

  y = -50/-2

y = 25

∠5 = 210 - 4y

      = 210 - 4*25

       = 210 - 100

∠5 = 110

∠4 = ∠5    {Alternate interior angles are equal}

∠ 4 = 110°

Answer:

Step-by-step explanation:

110

Can someone tell me the answer to this please

Answers

Answer:

A

Step-by-step explanation:

I think it’s A

Answer:

It's A

Step-by-step explanation:

27‌ ‌ ‌ ‌ ‌ ‌ ‌‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌ ‌

Please answer ASAP
The price of a dozen exercise book is 72 dollars find the cost of 18 exercise books

Answers

Answer:

$108

Step-by-step explanation:

Dozen = 12

Use the ratio:

12 ⇒ 7218 ⇒ x

Find x:

x = 72*18/12 = 108

Which is the image of P(3, 0) after a counterclockwise rotation of 90⁰ about (2, 4)?

Answers

Answer:

(6 , 5)

Step-by-step explanation:

PLEASE ANSWER FAST IT WILL HELP ME SO MUCH

Answers

Answer:

I believe it's enlargement

Step-by-step explanation:

because you have a positive scale factor and it goes to the right 3 and up 4

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