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
Answer:
The equation has one solution.
Step-by-step explanation:
6x + 35 = -6x - 35
subtract 6x from both sides of the equation
35 = -35 - 12x
add 35 to both sides of the equation
70 = -12x
divide -12x on both sides of the equation
x = 5.833333333
Answer:
He bought 36 eggs
Step-by-step explanation:
3x12=36
Answer: b. finding all studies published on a topic, calculating the effect size for each of those studies, and averaging the effect sizes together to find the average size of the effect across all studies.
Step-by-step explanation:
Answer:
1177.5 inches
Step-by-step explanation:
Volume of a cylinder = 
, where h is the height
Radius = 10/2 = 5 radius is half the diameter
Height = 3*5 = 15 height is 3 times the radius
V = 3.14 * (5^2) * (15)
= 3.14 *25 * 15
= 1177.5
