What is the related equation with the variable on one side of the equation?

Mathematics

1 answer:

aleksandrvk [35]3 years ago

8 0

2.5 + x = 10

-2.5 -2.5

x = 7.5

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1. Which of the following shows the correct use of the Distributive Property when solving 1/3( 33

vagabundo [1.1K]

Answer:

The option $(\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2$ is correct

Step-by-step explanation:

Given equation is $\frac{1}{3}(33-y)=135.2$

The option shows correct usage of distributive property is

$(\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2$

( by distributive property $a(x+y)=ax+ay$ here $a=\frac{1}{3}$ , x=33 and y=-y )

Therefore the option $(\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2$ is correct.

5 0

3 years ago

earnstyle [38]

Answer:

<em>Similar: First two shapes only</em>

Step-by-step explanation:

<u>Triangle Similarity Theorems </u>

There are three triangle similarity theorems that specify under which conditions triangles are similar:

If two of the angles are congruent, the third angle is also congruent and the triangles are similar (AA theorem).

If the three sides are in the same proportion, the triangles are similar (SSS theorem).

If two sides are in the same proportion and the included angle is equal, the triangles are similar (SAS theorem).

The first pair of shapes are triangles that are both equilateral and therefore have all of its interior angles of 60°. The AAA theorem is valid and the triangles are similar.

The second pair of shapes are parallelograms. The lengths are in the proportion 6/4=1,5 and the widths are in proportion 3/2=1.5, thus the shapes are also similar.

The third pair of shapes are triangles whose interior acute angles are not congruent. These triangles are not similar

7 0

3 years ago

Melissa asked 10 students how many courses they have taken so far at her college. Here is the list of answers.

almond37 [142]

Answer:

Step-by-step explanation:

The question has asked who has taken fewer than 15 courses

There are 4 options that are fewer than 15: 10, 8, 8, 13

4/10 (10 is total number of options/students)

To find the percentage you...