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2 years ago

What is the value of x?

Mathematics

1 answer:

Anit [1.1K]2 years ago

7 0

Answer:

Step-by-step explanation:

Set this up according to the Triangle Proportionality Theorem:

$\frac{3x}{4x}=\frac{3x+7}{5x-8}$

Cross multiply to get

$3x(5x-8)=4x(3x+7)$

and simplify to get

$15x^2-24x=12x^2+28x$

Get everything on one side of the equals sign and solve for x:

$3x^2-52x=0$ and

$x(3x-52)=0$

By the Zero Product Property,

x = 0 or 3x - 52 = 0 so x = 17 1/3

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If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x).

STALIN [3.7K]

Answer:

-40x

Step-by-step explanation:

f(x) =-3x-5

g(x) =4x-2

(f+g)(x) =?

now,

f(g(x))

=f(4x-2)

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2 years ago

A man is standing next to a tree. The shadow cast by the tree is four times longer than the man’s shadow. If the man is 2 meters

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Answer:

I think the tall of the tree is eight meters

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2 years ago

Which statement best explains why the dilation of a triangle produces a similar triangle

Allushta [10]

Dilation always preserves angle measures, the given statement best explains why the dilation of a triangle produces a similar triangle

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

The dilation (similarity transformations) varies the size of the figure. This requires a midpoint and a scale factor k. The k value finds whether it is an increase or decrease.

If | k |> 1, the dilation is an extension.
If | k | <1 it is reduction.

The absolute value of k determines the size of the new image relative to the size of the original image. If the k is positive, the new and original image is on the same side of the center.

If k is negative, they are on both sides of the center. Its own image is always at the center of development. This support angle size, point equality, and collinearity. Does not maintain distance. In simple, dilation always give similar figures.

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3 years ago

marcus buys 10 containes of yogurt. Each container of yogurt is 2/3 cup. how many cups of yogurt does marcus buy

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6 2/3 cups

hope it helps!

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3 years ago

Read 2 more answers

Orlando has a loan with an effective interest rate of 7. 918%, compounded annually. Which of the following must be true? I. In t

svetlana [45]

The correct option is B, II. only.

Given to us,

I. In the effective rate formula, n is equal to one.

Effective interest rate formula,

$r = (1 + \dfrac{i}{n} )^n - 1.$

where,

r is the effective interest rate,

i is the stated interest rate,

n is the number of compounding periods per year.

According to the question the compounding periods per year is not given to us. Also, loans are taken for a longer period of time.

Thus, we can conclude that statement is false.

II. The nominal rate is 7. 918%.

nominal rate = real interest rate + inflation rate,

but as it is not mentioned in the question about the inflation rate. the statement is true to us. Assuming the inflation rate is 0%.

Thus, we can conclude that statement is true.

III. The Federal Funds Rate is static.

This statement is false, as the no information is given about this statement also this can not be concluded through assumption.

Thus, we can conclude that statement is false.

Hence, The correct option is B, II. only.

To know more visit:

brainly.com/question/15846526

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2 years ago