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3 years ago

What is the ratio of Tom's salary to Adam's salary if Tom's salary is $4,500 and Adam's salary is $7,500?

Mathematics

1 answer:

Anni [7]3 years ago

3 0

Answer:

3 : 5

Step-by-step explanation:

To express $4500 : $7500 as a ratio in simplest form

divide both quantities by 500

= 9 : 15 ← divide both by 3

= 3 : 5 ← ratio in simplest form

You might be interested in

Which ratio is not equivalent to 3/5 ? <br>A. 15/20 <br>B.6/8 <br>C.30/50 <br>D.12/20

vova2212 [387]

Answer:

A & B

Step-by-step explanation:

15/20 is not equal

6/8 is not equal

30/50 is equal

12/20 is equal

8 0

2 years ago

Read 2 more answers

A parallelogram is shown below:

Marina CMI [18]

<h3>Answer:</h3>

A: 6 ft²

B: 3 ft² is the area of each of the two congruent triangles

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

Part A. As with a rectangle, the area of a parallelogram is the product of base length and height.

Area = (8 ft)·(3/4 ft) = 6 ft²

___

Part B. If you cut the area into two halves, each half will have half the area of the original. (That should not be a surprise.)

triangle area = (6 ft²)/2 = 3 ft²

If the triangles are created by a diagonal across the original figure, each will have a base length and height that is the same as that of the original figure. The area of a triangle is half the product of base and height, so each triangle will have area ...

triangle area = (1/2)bh = (1/2)(8 ft)(3/4 ft) = 3 ft²

5 0

2 years ago

Read 2 more answers

If m∠a=47°, what is m∠b, m∠c, and m∠d? Explain how you know the measures are correct.

avanturin [10]

m ∠b = 133°, m ∠c = 47°, and m ∠d = 133°.

<h3>Further explanation</h3>

Follow the attached picture. I sincerely hope that's precisely a correct illustration.

We will use a graph of two intersecting straight lines.

Note that m ∠a and m ∠c are vertical angles. Since vertical angles share the same measures, in other words always congruent, we see $\boxed{ \ m \ \angle{c} = m \ \angle{a} \ } \rightarrow \boxed{\boxed{ \ m \ \angle{c} = 47^0 \ }}$

We continue to determine m ∠b and m ∠d.

Note that m ∠b and m ∠d represent supplementary angles. Recall that supplementary angles add up to 180°.

Let us see the following steps.

$\boxed{ \ m \ \angle{a} + m \ \angle{b} = 180^0. \ }$

$\boxed{ \ m \ 47^0 + m \ \angle{b} = 180^0. \ }$

Both sides subtracted by 47°.

$\boxed{ \ m \ \angle{b} = 180^0 - 47^0. \ }$

Thus $\boxed{\boxed{ \ m \ \angle{b} = 133^0. \ }}$

Finally, note that m ∠b and m ∠d are vertical angles. Accordingly, $\boxed{ \ m \ \angle{d} = m \ \angle{b} \ } \rightarrow \boxed{\boxed{ \ m \ \angle{d} = 133^0 \ }}$

<u>Conclusion:</u>

m ∠a = 47°
m ∠b = 133°
m ∠c = 47°
m ∠d = 133°

<u>Notes:</u>

Supplementary angles are two angles when they add up to 180°. $\boxed{ \ example: \angle{a} + \angle{b} = 180^0 \ }$
Vertical angles are the angles opposite each other when two lines cross. Note that vertical angles are always congruent, or of equal measure. $\boxed{ \ example: \angle{a} = \angle{c} \ }$

<h3>Learn more</h3>

About the measure of the central angle brainly.com/question/2115496
Undefined terms needed to define angles brainly.com/question/3717797
Find out the measures of the two angles in a right triangle brainly.com/question/4302397

Keywords: m∠a = 47°, m∠b, m∠c, and m∠d, 133°, vertical angles, supplementary, 180°, congruent