Answer:
∠A = 99°
Step-by-step explanation:
Complementary angles sum to 180°, thus
∠A + ∠B = 180 ← substitute values
2x - 23 + x + 20 = 180
3x - 3 = 180 ( add 3 to both sides )
3x = 183 ( divide both sides by 3 )
x = 61
Hence
∠A = 2x - 23 = (2 × 61) - 23 = 122 - 23 = 99°
Answer:
37184
Step-by-step explanation:
I used a calculator.
3/6= 1/2 because 3 is the half of 6 and 1 is the half of 2
5/20= 1/4 because 1 x 5= 5 and 4 x 5= 20
9/27= 1/3 because 1 x 9 =9 and 3 x 9=27
1/2 is the simplest form already
12/36= 1/3 because 1 x 12= 12 and 3 x 12= 36
Jill put 10.3 gallons of gas into her car. She drove for 473.8 miles.
So we have to find how many miles per gallon she drove.
473.8 into 10.3 = 46
To make sure= 10.3 x 46 = 473.8
So Jill drove 46 miles per gallon.
Answer:
1
= -----------
6(x + 7)
Step-by-step explanation:
3x - 21 x^2 - 49
----------- ÷ -------------
18x - 18 x - 1
3x - 21 x - 1
----------- × -------------
18x - 18 x^2 - 49
Factor the top left:
3x - 21 = 3(x - 7)
Factor the bottom left:
18x - 18 = 18(x - 1)
Factor the new bottom right:
x^2 - 49 = (x + 7)(x - 7)
Multiply and simplify the faction:
3(x - 7) x - 1
----------- × -----------------
18(x - 1) (x + 7)(x - 7)
1
= -------------
6(x + 7)
