A. 13
Step-by-step explanation:
What we are given....
∠A = 26° + x
∠B = 38° + x
∠A and ∠B are complementary
If complementary angles add up to equal 90° and ∠A and ∠B are complementary to each other
Then 26 + x + 38 + x = 90
^ ( Note that we just created an equation that we can use to solve for x )
Now its just basic algebra
26 + x + 38 + x = 90
step 1 combine like terms
26 + 38 = 64
x + x = 2x
we now have 64 + 2x = 90
step 2 subtract 64 from each side
64 - 64 cancels out
90 - 64 = 26
we now have 26 = 2x
step 3 divide each side by 2
26 / 2 = 13
2x / 2 = x
we're left with x = 13
Answer:
x=30. y=60
Step-by-step explanation:
DG is a straight segment so it sums to 180 degrees. ECG is a right angle so 90 degrees. The rest is described as 2x and x. So 3x=90 degrees. x=30. Eh is also a straight segment. since we know x, we know that ECD is 60 degrees. So y+y=120 degrees. 2y=120. y=60.
Answer:
84 and 36
Step-by-step explanation:
The ratio of two numbers is 7:3.
We don't know what the numbers are, but since their ratio is 7:3, we can let the numbers be 7x and 3x. Notice that the ratio between 7x and 3x is 7x/3x = 7/3, so we still have the same ratio, 7:3.
The difference between the numbers is 48.
7x - 3x = 48
4x = 48
x = 12
7x = 7(12) = 84
3x = 3(12) = 36
The numbers are 84 and 36.
Check:
7/3 = 2.333...
84/36 = 2.333...
84 and 36 are int he same 7:3 ratio as 7:3.
84 - 36 = 48
The difference between 84 and 36 is 48 like the problem states.
This shows our answer, 84 and 36, is correct.
