8. In ΔRST, m∠R = (2x + 10)°, m∠S = (2x + 25)°, and m∠T = (x – 5)°.What is the value of x?
(Points : 3)
26
28
30
32

Answers

Answer 1
Answer: The measures of the angles in a triangle add up to 180°.
(2x+10)^\circ+(2x+25)^\circ+(x-5)^\circ=180^\circ \n2x+10+2x+25+x-5=180 \n5x+30=180 \n5x=180-30 \n5x=150 \nx=(150)/(5) \n\boxed{x=30}
Answer 2
Answer: The sum of the measures of the interior angles of a triangle is 180^(\circ).

So,
2x+10+2x+25+x-5=180\n5x=150\nx=30

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a school has 294 chairs.there are 14 chairs at each table. two chairs will be removed from each table.how many chairs will be left in the cafeteria?

Answers

When two chairs will be removed from each table, then there would be 252 chairs left in the cafeteria.

The dividend divisor quotient remainder formula:

Dividend = Divisor × Quotient + Remainder.

For given question,

total number of chairs = 294

there are 14 chairs at each table.

So, to find the number of tables in the cafeteria we need to divide total number chairs by 14.

The number of table would be,

= 294/14

= 21

This means, there are 21 tables.

If we remove two chairs from each table, then number of chairs at each table would be 14 - 2 = 12

So, the total number of chairs left in the cafeteria would be,

= 21 × 12

= 252

Hence, there will be 252 chairs left in the cafeteria.

Learn more about division here:

brainly.com/question/2272590

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Answer:

252

Step-by-step explanation:

because there are 14 chairs at each table => there are: 294/14= 21 (tables)

two chairs will be removed from each table => the number of chairs removed are: 21.2 = 42 (chairs)

the chairs  will be left in the cafeteria are: 294 - 42 = 252( chairs)

An object launched vertically from a point that is 37.5 feet above ground level with an initial velocity of 48.6 feet per second can be represented by the equation h=−16t^2+48.6t+37.5, where h is the height of the object and t is the time after the object is launched. How long does it take the object to hit the ground?

Answers

Answer: 3.675 seconds

Step-by-step explanation:

Hi, when the object hits the ground, h=0:

h=−16t^2+48.6t+37.5

0=−16t^2+48.6t+37.5

We have to apply the quadratic formula:  

For: ax2+ bx + c  

x =[ -b ± √b²-4ac] /2a  

Replacing with the values given:  

a=-16 ; b=48.6; c=37.5

x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)  

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:  

x = [ -48.6 + 69] /-32 = -0.6375

Negative:  

x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)

Feel free to ask for more if needed or if you did not understand something.  

The object to hit the ground takes 3.675 seconds.

An initial velocity of 48.6 feet per second

When the object hits the ground, h=0:

h=−16t²+48.6t+37.5

0=−16t²+48.6t+37.5

We have to apply the quadratic formula:  

For: ax²+ bx + c  

x =[ -b ± √b²-4ac] /2a  

Substituting with the values given:  

a=-16 ; b=48.6; c=37.5

x =[ -(48.6) ± √(-48.6)²-4(-16)37.5] /2(-16)  

x = [ -48.6 ± √ 4,761.96] /-32

x = [ -48.6 ± 69] /-32

Positive:  

x = [ -48.6 + 69] /-32 = -0.6375

Negative:  

x = [ -48.6 - 69] /-32 = 3.675 seconds (seconds can't be negative)

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If the exterior sides of two adjacent angles are opposite rays, then the angles are _____ angles. A. complementary
B. supplementary
C. vertical
D. right

Answers

The correct answer is B. Supplementary

That is the basic definition of what supplementary angles are and can be found in any textbook.

Answer supplementary

Step-by-step explanation:

the perimeter of a pool table is 30 ft.The table is twice as long as it is wide.what is the length of the pool table.

Answers

perimeter is legnth +legnth + width + width or
P=2L+2W

L=2W
subsitute L=2W for L in P=2L+2W

P=2(2W)+2W
P=4W+2W
P=6W

we know that Perimiter=30 so
30=6W
divide both sides by 6
5=Width

subsitute W=5 for W in L=2W
L=2(5)
L=10

to check
10=2(10)+2(5)
30=20+10
30=30
checks


Legnght=10
Width=5

Please help with this thanks

Answers

the answer is 2.84 so the best estimate is 3.00
The answer is 8. Because 5+3 is 8

Kim checked 20 markers. 7 of them were working. What percent of here markers were not working?

Answers

Answer:

30%

Step-by-step explanation:

Answer:

65%

Step-by-step explanation: