Triangle AGB is congruent to Triangle CGB.
Answer:
8.06
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + 7^2 = c^2
16 + 49 = c^2
65= c^2
Find the square root of 65
8.06
The line segment goes through (-2,3) and (1,-3).
The slope of the line is

Therefore the equation of the line segment is of the form
y = -2x + b
Because the line segments goes through (-2,3), therefore
-2(-2) + b = 3
4 + b = 3
b = -1
Answer: The equation is y = -2x - 1
Answer:
100 black marbles
Step-by-step explanation:
The experimental probability of a black marble is
P(black) = 4/20 = 1/5
We expect that out of the 500 marbles in the box, 1/5 of them are black
1/5 (500) = 100
There should be 100 black marbles
Answer:
<u>1st pic:</u>
x = 49
top angle = 45
bottom angle = 108
far right angle = 27 degrees
<u>2nd pic:</u>
angle 1 = 88 degrees
angle 2 = 57 degrees
angle 3 = 35 degrees
angle 4 = 145 degrees
Step-by-step explanation:
<u>1st pic:</u>
you can find the far right angle by taking 153 and subtracting it from 180:
⇒ 180 - 153 = 27 degrees
you can find x by the following equation ⇒ x - 4 + 2x + 10 + 27 = 180
combine like terms ⇒ 3x + 33 = 180
subtract 33 from each side ⇒ 3x + 33 - 33 = 180 - 33 ⇒ 3x = 147
divide 3 on each side: ⇒ 
x = 49
to find the top and bottom angles, substitute 49 for x:
top angle : x - 4
49 - 4 = 45 degrees
bottom angle: 2x + 10
2 x 49 + 10 = 108 degrees
<u>2nd pic:</u>
angle 1:
⇒ 180 - 92 = 88 degrees
angle 2:
⇒ 180 - 123 = 57 degrees
angle 3:
⇒ 180 - (88 + 57) = 35 degrees
angle 4:
⇒ 180 - 35 = 145 dgerees