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3 years ago

If mZ2 = 44, find the measure of an angle that is supplementary to 24.

Mathematics

1 answer:

yaroslaw [1]3 years ago

8 0

Answer:

The angle that is supplementary to angle ∠ Z2 is 136°

Step-by-step explanation:

Given as :

∠ Z2 = 44

Let The supplementary to ∠ Z2 = ∠x

∵ For Supplementary angle , measure of Two angles = 180°

Or, ∠x + ∠ Z2 = 180°

Or, ∠x + 44° = 180°

Or, ∠x = 180° - 44°

So, ∠x = 136°

Hence The angle that is supplementary to angle ∠ Z2 is 136° Answer

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Combine like terms. What is a simpler form of the expression?<br> -3(-4y + 3) + 7y

VikaD [51]

A simpler form of this expression would be 19y-9

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3 years ago

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Which of the following pairs of numbers contains like fractions? A. 5⁄6 and 10⁄12 B. 3⁄2 and 2⁄3 C. 3 1⁄2 and 4 4⁄4 D. 6⁄7 and 1

ElenaW [278]

<h2>Hello!</h2>

The answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

To find which of the following pairs of numbers contains like fractions, we must remember that like fractions are the fractions that share the same denominator.

We are given two fractions that are like fractions. Those fractions are:

Option A.

$\frac{5}{6}$ and $\frac{10}{12}$

We have that:

$\frac{10}{12}=\frac{5}{6}$

So, we have that the pairs of numbers

$\frac{5}{6}$

and

$\frac{5}{6}$

Share the same denominator, which is equal to 6, so, the pairs of numbers contains like fractions.

Option D.

$\frac{6}{7}$ and $1\frac{5}{7}$

We have that:

$1\frac{5}{7}=1+\frac{5}{7}=\frac{7+5}{7}=\frac{12}{7}$

So, we have that the pair of numbers

$\frac{6}{7}$

and

$\frac{12}{7}$

Share the same denominator, which is equal to 7, so, the pairs of numbers constains like fractions.

Also, we have that the other given options are not like fractions since both pairs of numbers do not share the same denominator.

The other options are:

$\frac{3}{2},\frac{2}{3}$

and

$3\frac{1}{2},4\frac{4}{4}$

We can see that both pairs of numbers do not share the same denominator so, they do not contain like fractions.

Hence, the answers are:

$\frac{5}{6}$ and $\frac{10}{12}$

$\frac{6}{7}$ and $1\frac{5}{7}$

Have a nice day!

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3 years ago

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White raven [17]

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elena-14-01-66 [18.8K]

Answer:

x=4

Step-by-step explanation:

3x + 6 = 18

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2 years ago

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When a river flows, the strength or force of the river depends on how far the river falls vertically compared to how far it flo

strojnjashka [21]

The figure is missing. There are several problems with same wording but different numbers

Here, we can use:

Horizontal distance: 258 feet

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Answer:

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Explanation:

The <em>slope</em> measures how the rate of change of the vertical distance (vertical fall) with respect to the horizontal distance.

There are several forms to express this with words, which represent the same formula. Here are some of them:

Slope = rise / run
Slope = vertical change / horizontal change
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Slope = Δy / Δx
Slope = (y₂ - y₁) / (x₂ - x₁)

As said, all those forms mean the same; they are equivalent.

Here, we have vertical fall = 56.0 feet, and horizontal distance = 258 feet, and by specifications of the problem (in the hint) the slope must be positive. Thus, you get:

Slope = vertical fall / horizontal distance = 56.0 feet / 258 feet ≈ 0.217

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3 years ago