Answer: 8 movies
12 + 1.50x = 3x
Move the variables to one side
12 = 1.50x
Isolate x
8 = x
Check:
3(8)= 24
12.00 + 1.50(8) = 24
I found the corresponding image.
The step towards proving the similarity of triangles DEF and GED is:
ANGLE E IS CONGRUENT TO ITSELF.
ΔDEF is a right triangle. Its hypotenuse is EF, its long leg is DF, its short leg is DE.
ΔGED is also a right triangle. Its hypotenuse is DE, its long leg is DG, its short leg is GE.
Only Angle E is in both triangles and its measure remains the same.
Answer:
A straight angle
Step-by-step explanation:
90 + 90= 180
Answer:
84
Step-by-step explanation:

Answer:
2880 ways
Step-by-step explanation:
There can be only one arrangement in which boys and girls can sit.
G-B-G-B-G-B-G-B-G
but position of individual boy and girls can be changed.
So, there are 5 girls and 5 slots for them that means they can be arranged in 5! ways,
similarly boys have 4 slots, so they can be arranged in 4! ways.
now, one more thing to consider is that out of 5! arrangements of girls, with each arrangement boys can be arranged in 4! different positions.
so to get the total number of boys and girls arrangements together we would need to multiply the arrangements of both boys and girls.
so the desired answer would be: 5!*4! = 120*24 = 2880 ways.