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bixtya [17]
3 years ago
13

Patricia is writing statements as shown below to prove that if segment ST is parallel to segment RQ, then x = 35:

Mathematics
1 answer:
bezimeni [28]3 years ago
4 0

Answer:  x: (x + 15)

Step-by-step explanation: mark me as brainliet

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Find the area of the region bounded by the line y=3x-6 and line y=-2x+8.
Vikentia [17]

Answer:

A = 12/5 units

Step-by-step explanation:

USING ALGEBRA:

We can find the intersection point between these two lines;

y = 3x - 6

y = -2x + 8

Set these two equations equal to each other.

3x - 6 = -2x + 8

Add 2x to both sides of the equation.

5x - 6 = 8

Add 6 to both sides of the equation.

5x = 14

Divide both sides of the equation by 5.

x = 14/5  

Find the y-value where these points intersect by plugging this x-value back into either equation.

y = 3(14/5) - 6

Multiply and simplify.

y = 42/5 - 6

Multiply 6 by (5/5) to get common denominators.

y = 42/5 - 30/5  

Subtract and simplify.

y = 12/5

These two lines intersect at the point 12/5. This is the height of the triangle formed by these two lines and the x-axis.

Now let's find the roots of these equations (where they touch the x-axis) so we can determine the base of the triangle.

Set both equations equal to 0.

(I) 0 = 3x - 6  

Add 6 both sides of the equation.

6 = 3x

Divide both sides of the equation by 3.

x = 2  

Set the second equation equal to 0.

(II) 0 = -2x + 8

Add 2x to both sides of the equation.

2x = 8

Divide both sides of the equation by 2.

x = 4

The base of the triangle is from (2,0) to (4,0), making it a length of 2 units.

The height of the triangle is 12/5 units.

Formula for the Area of a Triangle:

A = 1/2bh

Substitute 2 for b and 14/5 for h.

A = (1/2) · (2) · (12/5)

Multiply and simplify.

A = 12/5

The area of the region bounded by the lines y = 3x - 6 and y = -2x + 8 between the x-axis is 12/5 units.

3 0
3 years ago
In 1997 there were 11,012 licensed drivers over age 55 involved in fatal crashes. There
san4es73 [151]

Answer:

Step-by-step explanation:

No because there could simply be more older drivers on the road.

8 0
3 years ago
A. Find x<br> B. Find the measure of angle b <br> C. Find the measure of angle c
sdas [7]

Answer:

3, 50 and 70

Step-by-step explanation:

Using exterior angle property, we have 15x+5+22x+4=120, 37x+9=120. x=3

B=15x+5=50

C=22x+4=70

8 0
3 years ago
Which description is paired with its correct expression? seven less than the quotient of two and a number squared, increased by
kap26 [50]

Answer:

its a

Step-by-step explanation:

you can tell by the ways the set up the problem

7 0
3 years ago
Read 2 more answers
Y = 2x + 1<br> What is the domain
nalin [4]
You can let x be any real number and calculate 2x+1, so the domain of y=2x + 1 is all real numbers
3 0
3 years ago
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