Let A and B be the two complementary angles.
A = smaller angle = 2x
B = larger angle = 13x
x = some unknown number
Note how the ratio A:B turns into 2x:13x which simplifies to 2:13
A+B = 90 ... because the angles are complementary
2x+13x = 90 ... substitution
15x = 90
x = 90/15
x = 6
A = 2*x = 2*6 = 12 degrees
B = 13*x = 13*6 = 78 degrees
The two angles are 12 degrees and 78 degrees.
Check:
A/B = 12/78 = (2*6)/(13*6) = 2/13, so A:B = 2:13
A+B = 12+78 = 90
Answer:
length = 78 feet
width = 36 feet
Step-by-step explanation:
Using one variable and an expression, you can set up an equation equal to the perimeter to find the measure of each side:
width = 'w'
length = '42ft longer than it was wide' = w + 42
The general formula for the perimeter of a rectangle:
P = 2w + 2l
Plugging in the given values and variables:
228 = 2w + 2(w + 42)
Distribute: 228 = 2w + 2w + 84
Combine like terms: 144 = 4w
Divide and solve: 36 = w
w = 36 ft
l = 36 + 42 = 78 ft
Answer:
<h3>
D. (2, 7)</h3>
Step-by-step explanation:
The solution is the coordinates of the point (p,n) of intercept of lines described by given equations.
Answer:
Roberta earns $164.4 on an 8 hr shift.
Step-by-step explanation:
In one hour Roberta makes $9
So if she works for 8 hours she will be making
=> ( 9 X 8)$
=>72$
Also she earns a commission of 10.5% on selling a jewellery worth $880
So 10.5% of 880 is
=> 
=> 
=> 92.4
Hence Roberta will be earning a total amount of
(72+ 92.4)
=>$164.4
70 x 100 = 7,000
Therefore, 70 hundred is equal to 7 thousands.
