Answer:
Step-by-step explanation:
Consider right triangle ABC with right angle ACB. If m∠ACD = 45°, then
m∠BCD=m∠ACB-m∠ACD=90°-45°=45°.
Since CD ⊥ AB, then
m∠CDA=m∠CDB=90°.
Thus, triangles ACD and BCD are right triangles with right angles ADC and BDC. In these triangles:
m∠CAD=90°-m∠ACD=90°-45°=45°;
m∠CBD=90°-m∠BCD=90°-45°=45°.
Thus, triangles ACD and BCD are isosceles right triangles with
By the Pythagorean theorem,
Event A Answer:
<u>Step-by-step explanation:</u>
sum greater than 7 leaves are the following combinations for 8, 9, 10, 11, and 12:
8 = 26, 35, 44, 51, 62 (5 possibilities)
9 = 36, 45, 54, 63 (4 possibilities)
10 = 46, 55, 64 (3 possibilities)
11 = 56, 65 (2 possibilities)
12 = 66 (1 possibility)
This is a total of 15 possibilities out of 36 total: =
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Event B Answer:
<u>Step-by-step explanation:</u>
sum is an even number means both dice are odd or both dice are even. That results in the following combinations:
11 13 15
22 24 26
31 33 35
42 44 46
51 53 55
62 64 66
This is a total of 18 possibilities out of 36 total: =
Answer:
radius = circumference ÷ 2× po
Step-by-step explanation:
the radius is 2.55 but it's not in ur options
