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Bezzdna [24]
4 years ago
7

The figures in each pair are similar. Find the value of each variable. Show your work.

Mathematics
1 answer:
ki77a [65]4 years ago
8 0

Answer:

A. x = 4; B. x = 6; y = 24

Step-by-step explanation:

The corresponding sides of similar figures are proportional to each other.

A. Rectangles

x/2 =16/8         Multiply each side by 2

  x = 2 × 16/8

  x =4

B. Triangles

x/18 = 4/12     Multiply each side by 12

    x = 18 × 4/12

    x = 6

y/8 = 12/4     Multiply each side by 8

  y = 8 × 12/4

  y = 24

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Quiana has 7 times more text messages from Yolanda than from Pierre. Quiana has 56 text messages from Yolanda. Which equation ca
gizmo_the_mogwai [7]

Answer:

Quiana has 8 text messages from Pierre.

Step-by-step explanation:

This question can be solved using a rule of three.

Quiana has 7 times more text messages from Yolanda than from Pierre.

This means that for each message that she receives from Pierre, she receives 7 from Yolanda.

She received 56 from Yolanda.

So

7 messages from Yolanda - 1 messages from Pierre

56 messages from Yolanda - x messages from Pierre

7x = 56

x = \frac{56}{7}

x = 8

Quiana has 8 text messages from Pierre.

6 0
3 years ago
Is (-3,1) a solution if the system? y = -x - 2<br> x + 5y = 2
Dominik [7]

Answer:

Step-by-step explanation:

x + 5(-x - 2)= 2

x - 5x - 10 = 2

-6x - 10 = 2

-6x = 12

x = -2

y = 2 - 2 = 0

(-2, 0)

answer is no

6 0
3 years ago
Which expression represents the shaded length of the number line below? Choose 1 answer: Choose 1 answer: (Choice A) A 34×32\dfr
Anit [1.1K]

Answer:

Expression = \frac{2}{3} * \frac{5}{4}

Step-by-step explanation:

<em>See attachment for number line</em>

From the attachment, we have the following details:

The first shade of blue covered 10 blocks

The second shade of blue covered 5 further blocks which totaled to 15

So, the fraction of the blue blocks is:

Blue = \frac{10}{15}

Divide fraction by 5/5

Blue = \frac{10/5}{15/5}

Blue = \frac{2}{3}

Also from the attachment:

The shaded block stopped at the fraction:

Shaded = \frac{5}{4}

So, the expression that represents this scenario is:

Expression = Blue * Shaded

Expression = \frac{2}{3} * \frac{5}{4}

<em>Option (c) answers the question</em>

8 0
3 years ago
Is 1, 15/8, 17/8 a Pythagorean triple? Explain
KatRina [158]

Answer:

Step-by-step explanation:

if they are Pythagorean triples they should check for the theorem

the biggest value 17/8 should be the hypothenuse

(17/8)² = 1² + (15/8)² ; square the numbers

289/ 64 = 1+ 225/ 64 ; find the common denominator for addition

289/ 64 = 64+ 225/ 64 ; add

289/ 64 = 289 /64 TRUE so they are Pythagorean Triples

5 0
3 years ago
On a highway, you take 3 seconds to increase your speed from 32 to 35 miles per hour. Your speed increases the same amount each
balandron [24]

Answer:

1 to 30 seconds

Step-by-step explanation:

3 seconds increases your speed from 32 to 35 miles per hour

Hence 3 seconds = 3 miles per hour(35-32 miles)

1 second = 1 mile

The function for the increase per mile is therefore:

f(x)= 1x

Where x is number of seconds travelled on the highway

The domain of a function are the possible input values for x. Since the speed limit on the highway is 65 miles, the input values for x cannot be more than 30 seconds(current speed is 35 miles per hour, 65-35=30)

3 0
3 years ago
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