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3 years ago

Find the value of x that makes a || b

Mathematics

2 answers:

Vladimir [108]3 years ago

8 0

Answer:

x = 15°

Step-by-step explanation:

Notice that if A is // to B, then ∠2 and ∠4 are supplementary angles, i.e they add up to 180°. We can write this as:

∠2 + ∠4 = 180

(2x + 10) + (4x + 80) = 180

2x + 10 + 4x + 80 = 180

6x + 90 = 180

6x = 180 - 90

6x = 90

x = 15°

Murrr4er [49]3 years ago

7 0

Answer:

Step-by-step explanation:

So angle 2 and angle 4 have a relationship that is called same-side interior or consecutive interior angles. The name there depends what class you are in but they mean the same thing.

If you have the transversal goes through parallel lines, then same-side interior angles will add up to 180 degrees.

So you are trying to solve the following equation for x:

angle2+angle4=180

2x+10+4x+80=180

Combine like terms:

6x+90=180

Subtract 90 on both sides:

6x =90

Divide both sides by 6:

x =90/6

Simplify:

x =15

15 is x so that the lines are parallel

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Read 2 more answers

a farmer is planning a rectangular area for her chickens. the area of the rectangle will be 200 square feet. three sides of the

Vladimir79 [104]

Let

x---------> the length side of the rectangular area

y---------> the width side of the rectangular area

we know that

the area of the rectangle is equal to

$A=x*y\\ A= 200\ ft^{2} \\ x*y=200$

$y=\frac{200}{x}$ -----> equation $1$

The perimeter of the rectangle is equal to

$P=2x+2y$

but remember that the fourth side of the rectangle will be formed by a portion of the barn wall

$P=x+2y$ -----> equation $2$

To minimize the cost we must minimize the perimeter

Substitute the equation $1$ in the equation $2$

$P=x+2*[\frac{200}{x} ]$

Using a graph tool

see the attached figure

The minimum of the graph is the point $(20,40)$

that means for $x=20\ ft$

the perimeter is a minimum and equal to $40\ ft$

Find the value of y

$y=\frac{200}{x}$

$y=\frac{200}{20}$

$y=10\ ft$

The cost of fencing is equal to

$5*40= \$200$

therefore

the answer is

the length side of the the fourth wall will be $20\ ft$

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4 years ago

Every positive real number has a positive and a negative square root, the ________ root is called the principal root. *

fomenos

9514 1404 393

Answer:

B) positive

Step-by-step explanation:

For even-index roots, which may be either positive or negative, the positive root is called the principal root.

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