<span>sixteen and nine hundred eighty-five hundredths
six-thousandths
two hundred thirty-eight hundredths</span>
Step-by-step explanation:
AB · BE = CB · BD Given
CB/BE = AB/BD Division Property of Equality
<ABC = <DBE Vertical angles are equal
ΔABC ≅ ΔDBE SAS Similarity Theorem
Hope it helps
Answer:
m<1 = 57°
m<2 = 33°
Step-by-step explanation:
To find the numerical measure of both angles, let's come up with an equation to determine the value of x.
Given that m<1 = (10x +7)°, and m<2 = (9x - 12)°, where both are complementary angles, therefore, it means, both angles will add up to give us 90°.
Equation we can generate from this, is as follows:
(10x + 7)° + (9x - 12)° = 90°
Solve for x
10x + 7 + 9x - 12 = 90
Combine like terms
19x - 5 = 90
Add 5 to both sides
19x = 90 + 5 (addition property not equality)
19x = 95
Divide both sides by 19
x = 5
m<1 = (10x +7)°
Replace x with 5
m<1 = 10(5) + 7 = 50 + 7 = 57°
m<2 = (9x - 12)
Replace x with 5
m<2 = 9(5) - 12 = 45 - 12 = 33°
1/3 is the ratio of cups of water to cups of flour as a fraction (simplified)
Answer:
$218
Step-by-step explanation:
$100 times 100% = $200
9% of 200 = 200X.09 = 18
200 + 18 = 218
