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2 years ago

An angle measures 44° less than the measure of its supplementary angle. What is the

Mathematics

1 answer:

jeka942 years ago

4 0

Answer:

The angle is 112 degrees and the supplement is 68 degrees.

Step-by-step explanation:

Let the angle’s measure be represented by x and the supplement’s measure be represented by y. Since supplementary angles add to 180 degrees, x + y = 180.

Since the supplement is 44 degrees less than the angle,

y + 44 = x

We can substitute y + 44 = x for x in the first equation, since they are equivalent.

y + 44 + y = 180

2y + 44 = 180

2y = 136

y = 68

Substitute 68 for y in one of the original equations and solve.

68 + 44 = x

x = 112

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nikitadnepr [17]

Answer:

No, a pentagon can NOT be a cross-section of a triangular prism.

Step-by-step explanation:

Prisms have a uniform cross-section and are named after their cross-section. Hence, the cross section of a triangular prism is a triangle. The only prism with a pentagon cross-section is a pentagonal prism.

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3 years ago

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3 years ago

What is the area of a square that has a side length of 4x

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3 years ago

In ¾ pound of a banana bread, there is ½ cup of cinnamon. How much cinnamon does the bread contain per pound?

Shkiper50 [21]

1 pound of bread contains $\frac{2}{3}$ cups of cinnamon.

<h3>Solution:</h3>

Given that , In $\frac{3}{4}$ pound of a banana bread, there is $\frac{1}{2}$ cup of cinnamon

To find:

Amount of cinnamon per pound in bread

Let "n" be the cinnamon per pound present in bread

$\frac{3}{4}$ pound of banana bread ⇒ $\frac{1}{2}$ cup of cinnamon

Then, 1 pound of bread ⇒ n cups of cinnamon

Now, let us use criss cross method (i.e. multiplying the diagonal ordered terms and equating them)

$\begin{array}{l}{\rightarrow n \times \frac{3}{4}=\frac{1}{2} \times 1} \\\\ {\rightarrow n \times \frac{3}{4}=\frac{1}{2}} \\\\ {\rightarrow n=\frac{1}{2} \times \frac{4}{3}} \\\\ {\rightarrow n=\frac{2}{3}}\end{array}$

Hence, 1 pound of bread contains $\frac{2}{3}$ cups of cinnamon.

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3 years ago

Solve the equation m²+4m=-2

UNO [17]

Step 1: Subtract -2 from both sides.
m2+4m−(−2)=−2−(−2)
m2+4m+2=0
Step 2: Use quadratic formula with a=1, b=4, c=2.
m=−b±√b2−4ac2a
m=−(4)±√(4)2−4(1)(2)2(1)
m=−4±√82
m=−2+√2 or m=−2−√2

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3 years ago

Read 2 more answers