<h3>Solving for the measurements of Complementary Angles</h3><h3>
Answer:</h3>
and 
<h3>
Step-by-step explanation:</h3>
Recall that Angles that are complementary to each other add up to 
.
Let 
be the measure of the complementary angle.
If an angle is 
more than its complementary angle, the measure of that angle is 
. The sum of both angles are expressed 
but since the have to add to 
as they are complementary, 
.
Solving for :
Since the other angle measures , we can plug in the value of to find the measure of the angle.
Evaluating :
The measure of the angles are and
Are you looking for the value of x?
We can complete the square/factor:
x^2+7x-30=0
(x+10)(x-3)=0
By the zero product property rule, we have two equations, x+10=0 and x-3=0.
So the zeroes of x are -10 and 3
Hope this helped. Comment below if this didn't make sense.
Answer:
She had to had like 20 since (-17-3)= -20 right the question asked how much she had before, she had 20 if not 28, since the mother gave her another twenty but as a result, in the beginning, she had around 28 dollars in order to spend 17 on a book and 3 on a cupcake so she still had 8 dollars, and the 20, well the mother handed her 20.
(I hoped I made sense, and that I helped!:)
Answer:
12
Step-by-step explanation:
The least common multiple of {6,8,12} is 24. This can be intuitively figured by noting that any multiple of 12 is a multiple of 6 and that 12 is 1.5x larger than 8. That means we only have so multiple 12 by 2 and 8 by 3 for them to be equal. The GCF of {20,42,72} is 2 as the prime factorization of 20 is 2x2x5 and 42 is 2x3x7. That means even without having to check 72 (which is clearly even so 2 is a factor), we know that 2 is the greatest common factor that they could share. So X/Y = 24/2 = 12
Answer:
The measure of the angles:
24° and 66°
Step-by-step explanation:
Complementary angles sum 90°
then:
(3x + 3) + (10x-4) = 90
3x + 10x + 3 - 4 = 90
13x - 1 = 90
13x = 90+1
13x = 91
x = 91/13
x = 7°
then:
3x+3 = 3*7 + 3 = 21+3 = 24°
10x - 4 = 10*7 - 4 = 70 - 4 = 66°
Check:
66° + 24° = 90°
