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3 years ago

Directions: Solve for x. Please help

Mathematics

1 answer:

aksik [14]3 years ago

7 0

Answer:

Step-by-step explanation:

Since the whole right side of that triangle is equal to 28 and the lower portion is 21, then we know the upper portion is 7. Set up a proportion using those sides and the fact that the 2 triangles are similar:

$\frac{7}{21} =\frac{x}{18}$ and cross multiply to get

21x = 126 and

x = 6

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Is 0.72 repeating irrational or rational?

scoray [572]

Answer: Yes

0.72 repeating as a fraction in simplest form is 9/11

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3 years ago

Read 2 more answers

If the measure of an angle is 38 degrees, find the measure of its complement.

Norma-Jean [14]

Answer: 52 degrees

Explanation:
For this problem, we must know that the complement of an angle is the measure of which will make a 90 degree sum.

So in this problem we simply solve the equation as follows:

38 + x = 90
x = 90 - 38
x = 52

Hence the complement of 38 is 52.

Cheers.

6 0

1 year ago

Write an equation of the line that passes through (2,7) and is parallel to the line shown ( please help !! )

Anna007 [38]

Answer:

$y=2x+3$

Step-by-step explanation:

We will first need to determine the slope of the line shown.

We know that it passes through the two points (-2, -2) and (1, 4).

Thus, we can use the slope formula to find the slope between the two points:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Let (-2, -2) be (x₁, y₁) and let (1, 4) be (x₂, y₂). Substitute:

$\displaystyle m=\frac{4-(-2)}{1-(-2)}=\frac{6}{3}=2$

Hence, the slope of the original line was 2.

Since we want the new line to be parallel, the slope of the new line must also be 2.

We know that the slope is 2 and it passes through the point (2, 7).

So, we can use the point-slope form:

$y-y_1=m(x-x_1)$

We will substitute 2 for m. We will also let (2, 7) be (x₁, y₁). Substitute:

$y-7=2(x-2)$

Solve for y. Distribute the right:

$y-7=2x-4$

Add 7 to both sides. Hence, our equation is:

$y=2x+3$

6 0

2 years ago

Which of the following functions is graphed below?

mrs_skeptik [129]

Step-by-step explanation:

For y = x^3 - 4 when x = 0, y = -4.

For y = x^2 + 3 when x = 0, y = 3.

Looking at the graph, the y-intercept of the function is below 0. Hence the bottom part is from x^3 - 4 and the top is from x^2 + 3.

The bottom part has a dark circle, which means when x = 1 it belongs to x^3 - 4.

Hence the answer is D.

3 0

3 years ago

Well he buys two books at a bookstore. He spent $44.52 after 6% sales tax is applied, but the clerk does not provide him with th

mart [117]

Let x represent the cost of book B

Book A: $17.50

Book B: x

Sales tax: (A + B) x 6% = .06(17.50 + x) = 1.05 + .06x

book A + book B + sales tax = total cost

(17.50) + (x) + (1.05 + .06x) = 44.52 plugged in all of the values

18.55 + 1.06x = 44.52 added like terms

1.06x = 25.97 subtracted 18.55 from both sides

x = 24.50 divided 1.06 from both sides

Answer: $24.50

8 0

3 years ago