All categories

3 years ago

Point T is on line segment SU. Given TU = 11 and SU=20, determine the length of ST

Mathematics

2 answers:

expeople1 [14]3 years ago

6 0

Answer:

ST = 9

Step-by-step explanation:

ST + TU = SU , substitute values

ST + 11 = 20 ( subtract 11 from both sides )

ST = 9

WITCHER [35]3 years ago

4 0

Answer: ST = 9

Concept:

Here, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

TU = 11

SU = 20

Given expression deducted from the segment addition postulate

ST + TU = SU

Substitute values into the expression

ST + 11 = 20

Subtract 11 on both sides

ST + 11 - 11 = 20 - 11

$\boxed{ST =9}$

Hope this helps!! :)

Please let me know if you have any questions

You might be interested in

The perimeter of a rectangular swimming pool is 414 meters. The length of the pool is 7 meters more than four times the width. F

PolarNik [594]

Answer:

Width = 40 meters

Length = 167 meters

Step-by-step explanation:

Let

Width of the pool = x meters

Then

Length of the pool = 4x + 7 meters

and

Perimeter $=2(x+4x+7)=2(5x+7)=10x+14$ meters

Hence,

$10x+14=414\\ \\10x=414-14\\ \\10x=400\\ \\x=40\ meters\\ \\4x+7=4\cdot 40+7=167\ meters$

5 0

2 years ago

A circular swimming pool has a diameter of the 26 feet.

kherson [118]

Hey there! :)

The formula for finding area of circles is: π · r²

Remember that radius is half the diameter. To find radius when the diameter is given, divide by 2

d = 26

26 ÷ 2 = 13
_____________________________________________________________

π · r²

r = 13
13² = 13 × 13 = 169

169 × 3.14 = 530.66 = 530.7

The area of the swimming pool is 530.7 ft²

Hope this helps :)

7 0

3 years ago

Read 2 more answers

132 48 19 21 ... please help!!! doing a quiz it’s timed

Citrus2011 [14]

Answer:

21°

Step-by-step explanation:

set it up

7x-1+3x-9=180

combine like terms

10x-10=180

take the ten to the other side

10x=190

divide both sides by 10

x=19

plug x in

3(10)-9

30-9

(Incase you need it the other angle is 159°)

5 0

2 years ago

Read 2 more answers

Given the equation y = 2 x - 8, what is the slope and the y -intercept?

jeka94

Answer:

m=2 and b=-8

Step-by-step explanation:

This equation is organized in slope-intercept form, y=mx+b. In this form, m is the slope and b is the y-intercept.

When given the equation, y=2x-8, we can see that 2 is in the place of m and -8 is in the place of b. The reason the y-intercept isn't 8 is that y=2x-8 can be written as y=2x+(-8) since y=mx+b involves addition. Therefore, the slope is 2 and the y-intercept is -8.

m=2 and b=-8

I hope this helps!

4 0

2 years ago

ASAP!!!!!! I WILL GIVE BRANILST AND 200 POINTS! A 13 3/4 -inch candle burns down in 11 hours. If b represents how much of the ca

antoniya [11.8K]

I hope this helps :)

Your welcome

4 0

1 year ago

Read 2 more answers