It's an isosceles triangle so angles A and BCA are congruent.
Angle BCA is the supplement of BCD, so 180-109 = 71.
Angle A is congruent to that, so A=71 degrees.
Let's see if we can get that in the format they want, kind of as a proof.
1. ∠BCD=109° Reason: Given
2. AB ≅ BC Reason: Given
3. ∠BCA = 71° Reason: Linear pairs are supplementary
4. ΔABC is isosceles. Reason: Definition of isosceles
5. ∠A ≅ ∠BCA Reason: Isoceles triangle theorem
6. ∠A = 71° Reason: Def congruent
Answer: 71 degrees
Answer:
August made the recipe using the correct ratios
Step-by-step explanation:
we know that
Sally uses 6 cups of lemonade for every 8 cups of fruit punch
so
using proportion
Find out the number of cups of fruit punch for 15 cups of lemonade
Let
x ----> the cups of fruit punch

The total cups of liquid is the sum of the cups of lemonade plus the cups of fruit punch
so

therefore
August made the recipe using the correct ratios
Answer:
(4/7)÷ (3/-8). Division of fractions is the same as multiplying their reciprocals. So (4/7) x (-8/3). Now multiply the numerators together and denominators together (make sure you only use the negative sign once). (4 x -8) / (7 x 3) = -32/21
Answer:
2.4
Step-by-step explanation:
1/5=0.2
7.2/3=2.4
F(x)=((1/4)x+9)/10 Because f of x = f(x), equals the quantity means =, one-fourth x is just (1/4)x, plus 9 is + 9, and all over ten means take everything previously said over ten.