Answer: b) ΔADC ≡ ΔBCD by SAS
<u>Step-by-step explanation:</u>
Step 1: AD = BC SIDES are congruent
Step 2: ∠ADC ≡ ∠BCD ANGLES are congruent
Step 3: DC = DC SIDES are congruent
The proof is using Side-Angle-Side (SAS)
Look at the angles in step 2. These are the triangles you are proving congruency for: ΔADC ≡ ΔBCD
Answer:
The number of boys last year will be 50 boys
Step-by-step explanation:
330 members with 240 adults
The number of children will be;
330-240 = 90
2/3 of 90 are boys
= 2/3 * 90 = 60 boys
Number of girls is 90-60 = 30
Ratio of adults:boys:girls
= 240:60:30
divide through by 30
= 8:2:1
b) A year ago, there were 200 adults but the ratio still remains same
Let the number of girls be x, the number of boys will be 2x
Thus, total number is 200 + x + 2x = 200 + 3x
Total ratio is 8 + 2 + 1 = 11
mathematically;
8/11 * (200 + 3x) = 200
8(200 + 3x) = 11(200)
1600 + 24x = 2200
24x = 2200-1600
24x = 600
x = 600/24
x = 25
So the number of boys will be 25 * 2 = 50
(sinx)^2 = 1 when cosx is 0 at pi/2 and 3pi/2
cosx = 1 when sinx is 0 at 0
therefore, A
Answer:
-5
Step-by-step explanation:
