Answer:
The measure of the angles are 55° and 35°
Step-by-step explanation:
Sum of two angles that are complement of each other are 90.
The angles are A and B, so we can write:
A + B = 90
Also,
The difference is 20. Let A be the greater of them, so we can write equation 2 as:
A - B = 20
Now, we add up both equations, eliminate B and solve for A first:
A + B = 90
A - B = 20
---------------
2A = 90 + 20
2A = 110
A = 110/2
A = 55
And now the measure of B:
A + B = 90
55 + B = 90
B = 90 - 55
B = 35
Answer:
$2000 was invested at 5% and $5000 was invested at 8%.
Step-by-step explanation:
Assuming the interest is simple interest.
<u>Simple Interest Formula</u>
I = Prt
where:
- I = interest earned.
- P = principal invested.
- r = interest rate (in decimal form).
- t = time (in years).
Given:
- Total P = $7000
- P₁ = principal invested at 5%
- P₂ = principal invested at 8%
- Total interest = $500
- r₁ = 5% = 0.05
- r₂ = 8% = 0.08
- t = 1 year
Create two equations from the given information:


Rewrite Equation 1 to make P₁ the subject:

Substitute this into Equation 2 and solve for P₂:





Substitute the found value of P₂ into Equation 1 and solve for P₁:



$2000 was invested at 5% and $5000 was invested at 8%.
Learn more about simple interest here:
brainly.com/question/27743947
brainly.com/question/28350785
15:15
Which is simplified to
1:1
Hope this helps!
Answer:
no
Step-by-step explanation:
false
irrational numbers cannot be rational
Answer:
x₁ = 0
x₂ = 6
Step-by-step explanation:
9x² - 54x = 0
9x(x - 6) = 0
x(x - 6) = 0
x = 0
x - 6 = 0 → x = 6
Hope this helps! :)