In the diagram below, ST is parallel to QR. angle P is 40 degrees, and QST is 2R+8. Find the measure of STR in degrees.

Answers

Answer 1

Answer:

148º

Step-by-step explanation:

Use the information given:

The measure of a straight line is 180º. So angle PST=180-(2R+8)Since ST and QR are parallel, angle PST=angle PQR. Now, angle PQR=180-(2R+8)The sum of a triangle's interior angles is 180º. So 40+180-2R-8+R=180º.Combine like terms, 212-R=180Subtract, -R=-32Convert to positive, R=32º

With R=32º, we can find angle QST and PQR. Angle QST=2(32)+8=64+8=72º. So angle PQR=180º-72º=108º. The sum of a quadrilateral's interior angles is 360º:

32º+72º+108º+STR=360ºCombine like terms, 212º+STR=360ºSubtract, STR=148º

Related Questions

A school chorus has 90 sixth-grade students and 75 seventh-grade students. The music director wants to make groups of performers, with the same combination of sixth- and seventh-grade students in each group. She wants to form as many groups as possible. If the largest group was formed, how many students of each grade level would be in each group?

Answers

Answer:

The music director can form a total of 15 groups

6 Sixth grade students per group

5 Seventh grade students per group

Step-by-step explanation:

Sixth grade students = 90

Seventh grade students = 75

Find the highest common factor of 75 and 90

90 = 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90.

75 = 1, 3, 5, 15, 25, 75

The highest common factor of 75 and 90 is 15

Therefore, the music director can form a total of 15 groups

Sixth grade students per group = 90 / 15

= 6 Sixth grade students per group

Seventh grade students per group = 75 / 15

= 5 Seventh grade students per group

A local charity receives 13of a fundraiser during a craft fair and a bake sale. The total amount given to charity was $137.45. How much did the bake sale raise?

Answers

Complete question :

A local Charity receives 1/3 of funds raised during a craft fair and bake sale. The total amount given to the charity was $137.45. How much did the bake sale raise

Answer:

$412.35

Step-by-step explanation:

Given that:

Fraction Given to charity from bake sale = 1/3 of amount raised

Amount given to charity = $137.45

Let amount raised from bake sale = x

Hence,

1/3 of x = 137.45

x / 3 = 137.45

x = 137.45 * 3

x = $412.35

Amount raised from bake sale = $412.35

(-3f+9)-(2-6f) what’s the answer

Answers

Answer:

jhi

Step-by-step explanation:

Answer:

3f+7

Step-by-step explanation:

Translate the sentence into an inequality.
Twice x is less than or equal to - 18.

Answers

Answer:

[tex]2x\leq -18[/tex]

Step-by-step explanation:

[tex]2x \leq -18[/tex]

the first side is

twice x

2 times x

the symbol means less than or equal to

and finally we have the -18

Answer:

2x<_-18

Step-by-step explanation:

Twice means 2x and less than means <_ and -18

How do i solve 4x+3=35?

(I really appreciate everyones help )

Answers

Answer:

x=8

Step-by-step explanation:

1. Subtract the 3 from both side so the new equation states 4x=32

2. Divide both sides by 4 for the final answer of x=8

Answer:

That is the answer.

Step-by-step explanation:

l hope it helps ❤❤❤

YALL ARE WIZARDS IF YALL CAN DO IT

Answers

Answer:

So, lets say the refridgerator started at 37 degrees F alright?

Step-by-step explanation:

37 - 4 = 33

33 + 2 = 35

35 - 7 = 28

28 - 1 = 27

27 + 3 = 30

30 + 1 = 31

So the final temurature at 2:00pm would be 31 degrees F

Hope this helped :)

Please help me with 9

Answers

Answer:

Fourth choice, 1/6

Step-by-step explanation:

15 + 8 + 10 + 12 + 15 = 60

Out of 60 cards, 10 of them is the go again card, so it's 10/60 which simplified is 1/6

Create an algebraic equation for the word problem below:

Canadian Tire is selling coffee mugs. A coffee mug costs $5 and each day the price increases by $2.

Answers

Answer:

5+d2

Step-by-step explanation:

We'll make d=day

5+d2

5 is the base price

and 2 is the number that increases by day

Please tell me if it's incorrect

Happy Holidays!

u = 4i + 9j
8= -8j
Find: u +g

Answers

Answer:

4i + j

Step-by-step explanation:

I think you meant g instead of 8.

Given:

u = 4i + 9j

g = -8j

u + g

(4i + 9j) + (-8j)

4i + j

Assume you know that a hot-air balloon is currently inflated with a certain amount of air and that the amount is a percent of the total amount required to inflate the balloon. Explain how you would determine the total amount of air required to inflate the balloon.

Answers

Answer:

Percent air is calculated as:

Percent air = Current amount/Total amount *100

Solve for total amount of air:

Total amount = Current amount / Percent air * 100

Answer:

Step-by-step explanation:

I don’t know

use the function y=3/2x+3 to complete the table of values

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

Putting all the values of y=9, 6, 0, and -3 to complete the table

FOR y=9

putting y=9

switch sides

subtract 3 from both sides

Hence,

when y=9, x=4

FOR y=6

putting y=6

switch sides

subtract 3 from both sides

Hence,

when y=6, x=2

FOR y=0

putting y=0

switch sides

subtract 3 from both sides

Hence,

when y=0, x=-2

FOR y=-3

putting y=-3

switch sides

subtract 3 from both sides

Hence,

when y=-3, x=-4

Hence, the table becomes:

x y

9 4

Answers

In order to be perpendicular, you must have a slope that is the opposite reciprocal, so the slope should by -3/4. So the equation could be y = -3/4x with any other number at the end.

ok so tomorrow i have exams omg haha im so scareddd!!!!!

Answers

hopefully yu pass !

Answer:

Best of luck! I hope your exam goes well!!!

help pleasee due todayyy ! :(

Answers

Answer:

1. $434

2. 36 ways

Step-by-step explanation:

1. 350×6÷100=21

21×4=84

84+350=434

2+2
4+6
12+100
120x670

Step by step

Answers

Step-by-step explanation:

2+2=4

4+6=10

12+100=112

120×670=80,400

find the missing side length. if necessary , round you’re answer to the nearest tenth ! pls help

Answers

Answer:

Step-by-step explanation:

1. Use the Pythagorean theorom: a^2+b^2=c^2.

C is the missing side here, which is the hypotenuse of the triangle. The other two sides and be put into the equation either way. Doesn't matter the order.

15^2 + 36^2 =c^2

2. Evaluate 15^2 and 36^2 and add the results.

15^2 = 225

36^2 = 1,296

225+1,296= 1,521

3. Take the square root of the answer.

√1521 = 39

Joshua has at most 10 dollars a cab company will charge him 4 dollars flat and a rate is 1.25 for each mile driven write and solve and inequality for the above situation

Answers

Answer:

4.8 miles

Step-by-step explanation:

First you need to figure out an equation which will be 10<or equal to 1.25m+4. In this equation m=the number of miles. Knowing this information you can now solve. You want to subtract 4 from both sides leaving you with 6 is less than or equal to 1.25m. You then divide both sides by 1.25 and you are left with 4.8 is less than or equal to m.

Someone please explain, it's most of my homework! I already did half the problem! Ellie bought 5 cups of apple juice and 7 sandwiches for $25.00. Jim bought 2 cups of apple juice and 3 sandwiches for $10.50. How much did each cup of apple juice cost? How much did each sandwich cost. I set up the equations 5a+7s=25 and 2a+3s=10.5. How do I solve them?

Answers

Answer:

St rt ok is et cell pic ch se art on FB

sandwich = 2.5
apple juice = 1.5

2x^2-11x + 5.o-x^2 + 4x +371 =0

Answers

Here , I think this is it .

Mrs. Piazza invested $8000 in a certificate of deposit that pays 3% simple interest for 4 years. How much will be in Mrs. Piazza's account at the end of 4 years?

Answers

Answer:

$8960

Step-by-step explanation:

Given

principal = $8000

rate= 3%= 0.03

time = 4 years

Required

the final amount, we assume that this is a simple interest investment.

Step two:

[tex]A= P(1+rt)\\\\A=8000(1+0.03*4)\\\\A=8000(1+0.12)\\\\A=8000*(1.12)\\\\A=8960[/tex]

The final amount in the account is $8960

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