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3 years ago

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

Mathematics

1 answer:

ki77a [65]3 years ago

6 0

The question is not well presented and the question also requires an attachment which is missing. See complete question below

Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.

a. 12/24 = 18/16 = ½

b. 12/18 = 16/24 = ⅔

c. 12/16 = 18/24 = ¾

d. 18/12 = 24/16 = 3/2

Answer:

c. 12/16 = 18/24 = ¾

Step-by-step explanation:

Given

Two similar triangles

Required

Ratio of corresponding sides

To solve questions like this, you have to make comparisons between the similar sides of the triangle.

From the attached file,

Side PQ is similar to Side AB

And

Side QR is similar to Side BC

Also from the attached file

PQ = 12 and QR = 18

AB = 16 and BC = 24

Now, the ratio can be calculated.

Ratio = PQ/AB or QR/BC

Ratio = PQ/AB

Ratio = 12/16

Divide numerator and denominator by 4

Ratio = ¾

Ratio = QR/BC

Ratio = 18/24

Divide numerator and denominator by 6

Ratio = ¾.

Combining these results

Ratio = 12/16 = 18/24 = ¾

Hence, option C is correct

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Which of the following is a geometric sequence with a common ratio of 2?

rosijanka [135]

The answer C.
Since the common ratio is 2
You just need to multiply each number with two to get the next number
14x2=28
28x2=56
56x2= 112

6 0

3 years ago

Heidi wants to make some biscuits using this recipe.

Andre45 [30]

The most cookies Heidy can make is 36 cookies.

<h3>How to calculate how many cookies can Heidy make?</h3>

To know how many cookies Heidy can make, you have to take into account the following information:

12 cookies need the following ingredients:

125g butter
200g flour
50g sugar

In the case in which Heidy has more ingredients, we must carry out the following operations:

Divide the quantities, in the reference quantity we have:

500g of butter ÷ 125g of butter = 4
700g flour ÷ 200g flour = 3.5
250g of sugar ÷ 50g of sugar = 5

According to the above, we must take into account the lowest value of all because if that ingredient is enough, we can infer that the rest of the ingredients also.

So the number of cookies Heidy can make are:

12 × 3.5 = 42

Learn more about ingredients in: brainly.com/question/26532763

7 0

2 years ago

Write an equation that gives the proportional relationship of the graph.

melomori [17]

<h3>Answer:</h3>

C) y = 6x

<h3>Step-by-step explanation:</h3>

Pick any point. It is often convenient to use x = 1 (no marked point) or x = 10 (where y = 60).

Use these values to see which equation agrees.

A: 60 ≠ (1/6)·10

B: 60 ≠ 2·20

C: 60 = 6·10

D: 60 ≠ 12·10

____

Or, you can solve ...

... y = kx

for k, using the point values you found on the graph.

... 60 = k·10

... 60/10 = k = 6 . . . . . divide by 10

This makes the equation be ...

... y = 6x . . . . . . matches selection C

4 0

3 years ago

A map scale shows a scale of 1 inch = 50 miles. How many miles are represented by 4.5 inches on the map?

a_sh-v [17]

Answer:

Step-by-step explanation:

take 50*4.5 and you'll get your answer

7 0

2 years ago

In a given year, the population of Metro City is 7420, and the population is decreasing by 152 people per year. The population o

Anit [1.1K]

Answer:

The correct option is D.

Step-by-step explanation:

Let <em>x</em> denote the years.

The information provided is:

The population of Metro City is 7420.
The population is decreasing by 152 people per year.
The population of Smallville is consistently 1200 less than half of Metro City.

From the provided data derive the equation for the population of Smallville <em>x</em> years after as follows:

$Y = [\frac{1}{2}\cdot (7420-152x)]-1200$

The population of Smallville is 2282 after <em>x</em> years.

Compute the value of <em>x</em> as follows:

$2282= [\frac{1}{2}\cdot (7420-152x)]-1200$

$\frac{7420-152x}{2}=2282+1200\\\\7420-152x=3482\times 2\\\\152x=7420-6964\\\\152x=456\\\\x=3$

Thus, the time it will take for Smallville's population to reach 2282 is 3 years.

The correct option is D.

7 0

3 years ago