Answer:
y=9/6 (3/2 simplified)
Step-by-step explanation:
2(6y-2)-3y=2
12y-4-3y=2
ad 4 both side
12y-3y=6
9y=6
9/6
Answer:
Step-by-step explanation:
Volume of a prism:
Area of cross section x height
<h3>Answer:</h3>
A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°
<h3>Explanation:</h3>
The sum of angles in ∆ABC is 180°, so ...
... (2x -2) + (2x +2) + (5x) = 180
... 9x = 180
... x = 20
and the angles of ∆ABC are ∠A = 38°, ∠B = 42°, ∠C = 100°.
___
The sum of angles of ∆A'B'C' is 180°, so ...
... (58 -x) +(3x -18) +(120 -x) = 180
... x +160 = 180
... x = 20
and ∠A' = 38°, ∠B' = 42°, ∠C' = 100°.
_____
The values of angle measures of ∆ABC match those of ∆A'B'C', so we can conclude ...
... A) ∠A = ∠A' = 38° and ∠B = ∠B' = 42°
Answer:
a. 81.9
b. 144.7
c. 110.2
d. 48
Step-by-step explanation:
a. 120/109.2 = 90/x
x = 81.9
b. 45.6/120 = 55/x
x = 144.7
c. 304.8/96 = 350/x
x = 110.2
d. 109.2/45.6 = 115/x
x = 48
First set up a proportion.
14/210 = x/27900
then divide 27900 by 210 which equals about 133
then multiply 14 by 133 which is 1862
your answer is 1862
