What do you call two angles that have a sum of 90 degrees?

Mathematics

1 answer:

melomori [17]3 years ago

8 0

The answer to this would be complementary angles.

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How many terms are in the arithmetic sequence 9, 2, −5, . . . , −187?

Fantom [35]

9, 2, -5... so is going down by 7 each time, meaning the "common difference" is -7.

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=9\\
d=-7\\
a_n=-187
\end{cases}
\\\\\\
-187=9+(n-1)(-7)\implies -187=9-7n+7
\\\\\\
7n=9+7+187\implies 7n=203\implies n=\cfrac{203}{7}\implies \boxed{n=29}$

4 0

3 years ago

What is the range of the given function?

Travka [436]

Answer:

-2

Step-by-step explanation:

range is y values

4 0

2 years ago

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In the diagram below, angle 7 equals 61°.<br><br><br><br> What is the measure of angle 8?

V125BC [204]

Answer:

119

Step-by-step explanation:

So angle 6 equals angle 7 vertically opp angles. So 61 times 2 is 122. Total angles around a point is 360. So 360 - 122 is 238 which divided by 2 will give 119 cause angle 8 equals angle 5.

7 0

3 years ago

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The width of a rectangle is 5 meters less than its length. The area is 84 square

VARVARA [1.3K]

Answer:

12 and 7 meters

Step-by-step explanation:

The area is 84 square meters and the width is 5 meters less than the length. 12 is the length and 7 is the width. 7 is 5 less than 12, and 12*7=84.

The length is 12 and the width is 7

7 0

3 years ago

2.8 ÷ -0.004. Please show work.

Alexeev081 [22]

Answer:

Step-by-step explanation:

$\frac{2.8}{-0.004}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{-b}=-\frac{a}{b}\\\\=-\frac{2.8}{0.004}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{2.8}{0.004}=700\\\\=-700$

5 0

3 years ago

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