Answer:
Step-by-step explanation:
Since angle ABD is 133 degrees and the sum of the angles in a triangle is 180 degrees, it means that
m∠ DAB + 133 + 22 = 180
m∠ DAB = 180 - 155 = 25 degrees
Also, ∆ ADC is an isosceles triangle because two of its sides are equal. It also means that the base angles are equal. Thus,
m∠ A = m∠ B
Therefore,
m∠ A + m∠ B + angle D = 180
m∠ A + m∠ B = 180 - 22 × 2
m∠ A + m∠ B = 180 - 44 = 136
m∠ A = m∠ B = 136/2 = 68 degrees
m∠ CAB + m∠ DAB = m∠ A
Therefore,
m∠ CAB = 68 - 25 = 43 degrees
Since ∆ ABC is isosceles, then
m∠ CAB = m∠ ACB
m∠ ACB = 43 degrees
m∠ ABC = 180 - (43 × 2) = 180 - 86
m∠ ABC = 94 degrees
m∠ BCD = 68 - m∠ ACB
m∠ BCD = 68 - 43 = 25 degrees
Well since 19/50 can't be simplified you have to double 9/25 which is 18/50 so then add 18 + 19 = 37 So 18/50 + 19/50 = 37/50 so 37/50 of the students ride the bus or walk to school.
B . A & b are parallel to each other
Answer:
61.5%
Step-by-step explanation:
Let's find all the demographics first:
Sophomores in the class(total 15):
Female: 5
Male : 10
Freshmen in the class(total 11):
Female: 3
Male: 8
There are 11 freshmen(male and female) and 5 female sophomores. Thus, the probability of choosing one of these 16 people in a class of 26 is 16/26 or 61.5%.
(4 3/8) + (5 1/3)
(4+5)(3/8 + 1/3)
9 + (17/24)
she ran 9 17/24 miles total
