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2 years ago

Find the value of X.

Mathematics

1 answer:

Oksanka [162]2 years ago

5 0

Answer:

x =25

Step-by-step explanation:

This is an isosceles triangle because RS = ST

that means <r = <STR

4x-70 = STR

<STR + <STU = 180 straight line

subtract < STU from each side

<STR = 180 -<STU

we know angle stu = 6x

<STR = 180 -6x

we can substitute this into 4x-70 = STR

4x-70 = 180 -6x

add 6x to each side

4x+6x -70 = 180 -6x+6x

10x -70 = 180

add 70 to each side

10x-70+70 = 180+70

10x=250

divide by 10

10x/10 = 250/10

x =25

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2 years ago

Jenny goes to the store with $9.87. She then spends $2.81 of it. How much money does she have left?

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2 years ago

Read 2 more answers

Write an equation of the line that passes through the given points (1 , 1.5) and (2, 3.5)

Nitella [24]

Answer:

y=2x-0.5

Step-by-step explanation:

typically, the equation of the line is written in slope intercept form, which is y=mx+b, where m is the slope and b is the y intercept

first, we need to find the slope (m) of the line

the formula for slope calculated from two points is given as (y2-y1)/(x2-x1)

we have two points: (1,1.5) and (2,3.5) and we can label them

x1=1

y1=1.5

x2=2

y2=3.5

now plug into the formula:

m=(3.5-1.5)/(2-1)

m=2/1

m=2

the slope of the line is 2

here's our equation so far:

y=2x+b

now we need to find b

since the line will pass through the points (1, 1.5) and (2, 3.5), we can plug either one of them into the equation to solve for

Let's use (1, 1.5)

substitute 1.5 as y and 1 as x

1.5=2(1)+b

1.5=2+b

subtract 2 from both sides

-0.5=b

therefore, our equation is:

y=2x-0.5

hope this helps!

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2 years ago

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1 year ago

Please help and explain questions 20-22

zmey [24]

Hello!

The formula for circumference is $2\pi r$ and the formula for area of a circle is $\pi r^{2}$ . Armed with these formulas, we can begin to find the circumferences and areas of the circles.

20.
C = $2 \pi r$
C = $2 \pi (6.5)$
C = $13 \pi$
C = 13(3.14)
C = 40.8

A = $\pi r^{2}$
A = $\pi (6.5)^{2}$
A = $\pi (42.25)$
A = 132.7

The circumference of the circle is 40.8 in and the area of the circle is 132.7 in².

21.
[Since we are given the diameter for this problem, to find the circumference, we no longer need to multiply the radius by 2 as in $2 \pi r$ because the diameter is the radius × 2. For $\pi r^{2}$ we do need to divide the diameter by 2.]

C = $15.7 \pi$
C = 49.3

A = $\pi r^{2}$
A = $\pi (7.85)^{2}$
A = $61.62 \pi$
A = 193.5

The circumference of the circle is 49.3 in and the area of the circle is 193.5 in².

And that is all there is to it. I hope this helps you! (:

6 0

2 years ago