Answer:
-8
Step-by-step explanation:
x+x+1= -15
2x+1=-15 (group the x's together)
2x= -14 (move the 1 to the right side)
x= -7
(-7)+(-8) = -15
-8 is the smaller integer
<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°
32/68 can be reduced to 8/17.
Answer:
Equation: 
Step-by-step explanation:
The equation that represents a direct variation between variable x and variable y is given as
. Where, k is the constant of proportionality.
Find the value of k given that x = ⅓ and y = 12.
Plug the values into the equation.


Multiply both sides by 3


Substitute the value of k into 

Equation: 
Answer:
A
Step-by-step explanation: