Solve for x. have to turn in by tomorrow !

Mathematics

1 answer:

Elanso [62]3 years ago

7 0

To solve this problem you must apply a theorem called: Intersecting secant theorem. The proccedure is shown below:

1) For the figure shown on the left:

(5)(x+5)=(6)(4+6)
5x+25=60
5x=60-25
x=35/5
x=7

2) For the figure shown on the right:

(3)(3+5)=(4)(x+4)
24=4x+16
24-16=4x
8=4x
8/4=x
x=2

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3 years ago

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Lapatulllka [165]

Answer:

<h2>neither</h2>

Step-by-step explanation:

If AB an CD are parallel, then their slopes are the same.

If AB and CD are perpendicular, then the product of their slopes is equal -1.

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Calculate the both slope:

$A(4,\ 2),\ B(-3,\ 1)\\\\m_{AB}=\dfrac{1-2}{-3-4}=\dfrac{-1}{-7}=\dfrac{1}{7}\\\\C(6,\ 0),\ D(-10,\ 8)\\\\m_{CD}=\dfrac{8-0}{-10-6}=\dfrac{8}{-16}=-\dfrac{1}{2}\\\\=============================$

$m_{AB}\neq m_{CD}$

The line AB and line CD are not parallel

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The line AB and line CD are not perpendicular.

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3 years ago

Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. A rectangle with length of 15 inches and width o

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the change in the scale factor is $\frac{45}{40}$ .Correct option C) StartFraction 45 feet over 40 feet EndFraction

<u>Step-by-step explanation:</u>

Here we have , Norma Ann planned a rectangular courtyard, as shown in the scale drawing below. A rectangle with length of 15 inches and width of 5 inches. She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. We need to find Which expression finds the change in the scale factor . Let's find out:

Initially the ratio of width to actual width is :

⇒ $\frac{5}{45}$