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2 years ago

Need help with this math question please

Mathematics

1 answer:

lesya692 [45]2 years ago

3 0

Answer:

See below for answer.

Step-by-step explanation:

RP/RT =RQ/RS Given

∠R = ∠R

ΔPQR similar to Δ TSR If the measures of two sides of a triangle are proportional to the measures of two corresponding sides of another triangle and their included angles are congruent, then the triangles are similar.

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What is the missing length??

amid [387]

Answer

The missing length is 10

Step-by-step explanation:

Represent the missing length with x

The sides of the given shape are directly proportional.

Mathematically:

(15 + x) to (12 + 8) and x to 7

Represent as a ratio:

$(15 + x) : (12 + 8) = x : 8$

$15 + x : 20= x : 8$

Convert to fraction

$\frac{15 + x}{20} = \frac{x}{8}$

Cross Multiply:

$(15 + x)*8 = 20 * x$

$120 + 8x = 20x$

Collect Like Terms

$20x - 8x = 120$

$12x = 120$

Solve for x

$x = \frac{120}{10}$

$x = 10$

<em>The length of the missing side is 10</em>

4 0

3 years ago

libon's new car can travel 45 miles on 1 gallon of of gas. at this rate how far can the car travel on 7 gallons

Setler [38]

Answer:

315

Step-by-step explanation:

If one gallon of gas can give you 45 miles, than multiple 45 ( the miles ) times 7 (the gallons of gas) and you will have your answer :)

4 0

2 years ago

Mary bought a pair of jeans on sale for 25% off. The original price for jeans was $79. What was the sale price before tax? Expla

TEA [102]

<h3>Answer: $59.25</h3>

========================================================

Explanation:

There are two approaches

Method 1

25% of 79 = 0.25*79 = 19.75

Mary saves $19.75 and the price before tax is 79 - 19.75 = 59.25

-----------------------------

Method 2

She saves 25% so she must pay the remaining 75%

75% of 79 = 0.75*79 = 59.25

This is a slight shortcut, and it's very useful when it comes to chaining multiple discounts together.

5 0

2 years ago

You cut a 54-inch rope into four pieces. Twoof the pieces are the same length, a thirdpiece is twice as long as each of the twoe

antiseptic1488 [7]

Let's use the variable x to represent the length of the first and second pieces.

If the third piece has twice the length of the first and second, its length is 2x.

If the fourth piece has half the length of the first and second, its length is 0.5*x.

Adding all four pieces and equating to 54 inches, we have:

$\begin{gathered} x+x+2x+0.5x=54 \\ 4.5x=54 \\ x=\frac{54}{4.5} \\ x=12 \end{gathered}$

So the length of each piece is:

12 inches, 12 inches, 24 inches and 6 inches.

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1 year ago

Which one of the following is closest to 4?<br> 3 1/8<br> 2 11/12<br> 4 9/10<br> 4 4/5

grandymaker [24]

4 4/5 is closest to 4

4 0

2 years ago

Read 2 more answers