Answer:
Option (1)
Step-by-step explanation:
From the picture attached,
Triangle CAB is a right triangle.
Therefore, m∠1 = 90°
Similarly, m∠ACD = 90°
m∠ACD = m∠ACB + m∠BCD = 90°
= m∠3 + m∠4 = 90°
Since m∠4 = 35°,
m∠3 + 35° = 90°
m∠3 = 90° - 35°
= 55°
In the triangle ABC,
m∠ACB + m∠CBA + m∠BAC = 180° [Property of a triangle]
m∠3 + m∠2 + m∠1 = 180°
55° + m∠2 + 90° = 180°
m∠2 + 145° = 180°
m∠2 = 180° - 145°
= 35°
Since, AB║CD and BC is a transverse,
Therefore, m∠2 = m∠4 = 35° [Alternate interior angles]
Option (1) is the correct option.
How much did it cost to rent each paint marker? $10 for each paint marker
Answer:
4 girls have short red hair
Step-by-step explanation:
Total number of guests at the party is 32
1/2 of the guests are boys
The number of girls with long hair is
= 32×1/4
= 8 girls.
The number of girls with short blonde hair is:
= 16×1/4
= 4 girls
Therefore, we apply the formular below to calculate the maximum number of girls with short red hair.
Total number of girls- ( girls with long hair+ girls with short blonde hair)
= 16-(8+4)
=16-12
= 4
Thus, 4 girls have short red hair
Answer: y=2−4x
Step-by-step explanation:
When solving for y in this problem(4x+y=2) we need to get y by itself in the equation. To do this we need to move 4x over to the right side of the equation. To do this we subtract, 4x from both sides of the equation.
