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3 years ago

An angle measures 12° more than the measure of its complementary angle. What is the measure of each angle?

Mathematics

1 answer:

Semmy [17]3 years ago

7 0

Answer:

The angles are 39 and 51

Step-by-step explanation:

Let x be the unknown angle

x+12 is the complement

Complements add to 90

x+x+12 = 90

Combine like terms

2x+12 = 90

Subtract 12 from each side

2x+12-12 = 90-12

2x = 78

Divide by 2

2x/2 = 78/2

x =39

x+12 = 39+12

=51

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2 years ago

Given it's midpoint and one endpoint apply the midpoint formula and solve for x and y midpoint (22,15) endpoint (18,6

Nutka1998 [239]

Midpoint formula

mid of (x1,y1) and (x2,y2) is
$( \frac{x2+x1}{2}, \frac{y2+y1}{2})$

so

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therefor

22= $\frac{18+x1}{2}$
and
15= $\frac{6+y1}{2}$

slv each
22= $\frac{18+x1}{2}$
times both sides by 2
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times both sides by 2
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3 years ago

An Easter basket contains eggs of three different colors. Find the total number of eggs in the basket if 2 7 of all eggs are gre

sashaice [31]

Answer:

56 eggs

Step-by-step explanation:

If $\frac{2}{7}$ of all eggs are green, $\frac{1}{4}$ of all are blue, then

$1-\dfrac{2}{7}-\dfrac{1}{4}=\dfrac{28-2\cdot 4-7}{28}=\dfrac{13}{28}$

of all eggs are red.

We know that there are 26 red eggs

$26\text{ eggs }-\dfrac{13}{28}\\ \\x\text{ eggs }- 1[=\dfrac{28}{28}]$

Make a proportion

$\dfrac{26}{x}=\dfrac{\frac{13}{28}}{1}\\ \\26\cdot 1=x\cdot \dfrac{13}{28}\ [\text{Cross multiply}]\\ \\13x=26\cdot 28\ [\text{Multiply by 28 to get rid of fraction}]\\ \\x=\dfrac{26\cdot 28}{13}\ [\text{Divide by 13 to get x}]\\ \\x=2\cdot 28\\ \\x=56$

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3 years ago

Expand and simplify I (X -5)(X +4)

alexgriva [62]

The answer you are looking for is:
Expand (X-5)(X-4): 
X^(2)+4x-5x-20 : 
Then add like terms to simplify: 
X^(2)-X-20 
Hope that helps!! 
Have a wonderful day!!
if you ever need help with anything feel free to ask me!!

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2 years ago

Read 2 more answers

An angle measures 12° more than the measure of its complementary angle. What is the measure of each angle?​

An angle measures 12° more than the measure of its complementary angle. What is the measure of each angle?