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blsea [12.9K]
3 years ago
15

The measure of an angle is four times the measure of a complementary angle. What is the measure of each angle?

Mathematics
1 answer:
murzikaleks [220]3 years ago
6 0
Sum of two complementary angles.=90
Let 1 angle be x and other be 4x.
So, x+4x=90
⇒5x=90
⇒x=18
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Given A(3, 4), B(4, 3) and C(2, 1), what are the coordinates of C', the image of C under a rotation of 90 degrees about the orig
Aleks [24]

<u>Given</u>:

The coordinates of the points A, B and C are (3,4), (4,3) and (2,1)

The points are rotated 90° about the origin.

We need to determine the coordinates of the point C'.

<u>Coordinates of the point C':</u>

The general rule to rotate the point 90° about the origin is given by

(x, y) \Rightarrow(-y, x)

Substituting the coordinates of the point C in the above formula, we get;

(2, 1) \Rightarrow(-1, 2)

Therefore, the coordinates of the point C' is (-1,2)

5 0
3 years ago
145 is what percent of 620
Oksanka [162]

Hello There!

145 is 23.39% of 620

<u><em>HOW TO SOLVE</em></u>

<u><em></em></u>

<u><em>Equation: Y = P% * X</em></u>

<u><em>We need to solve our equation for "P"</em></u>

<u><em>P% = Y/X</em></u>

<u><em>P% = 145/620</em></u>

<u><em>p = 0.2339</em></u>

<u><em></em></u>

<u><em></em></u>

<u><em>Convert decimal to percent:</em></u>

<u><em>Percent = 0.2339 * 100 = 23.39%</em></u>

4 0
3 years ago
A grocer wants to make a 10-pound mixture of cash tans peanuts that he can sell for $3.29 per pound. If cashews cost $5.60 per p
bagirrra123 [75]
Label each nut with a variable, c = cashews, p = peanuts.....
for a 10-pound mix, you will need c + p = 10
the price for 10-pounds would become 3.29 x 10 = 32.90 

You will need an unknown amount of cashews at 5.60/lb and an unknown amount of peanuts at 2.30/lbs to get your full 10 pounds valued at 32.90
5.60c + 2.30p = 32.90 

Now you 2 have a system of 2 equations and 2 unknowns
c + p = 105.6c + 2.3p = 32.9utilize substitution to solve:p = 10-c
5.6 c + 2.3 (10-c) = 32.9
solve for c then substitute back into c + p = 10 to solve for P

Hope this helps!
3 0
3 years ago
Select the correct answer from the drop-down menu.
Mice21 [21]
The rectangular prism has a volume of, 1/4 cubic meter.
5 0
3 years ago
Read 2 more answers
Are the equations correct? And how do you solve this completely?
irina [24]
Your equations are right. just use the substitution method to solve. substitute y because both have that on one side

it'll look like 40x+30=30x+60.
then just get x in one side. I showed my owrk in the photo

5 0
3 years ago
Read 2 more answers
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