Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Note ∠ Q is a right angle = 90°
Sum the angles and equate to 180
7b + 14 + 6b + 11 + 90 = 180, that is
13b + 115 = 180 ( subtract 115 from both sides )
13b = 65 ( divide both sides by 13 )
b = 5
Thus
∠ R = 6b + 11 = 6(5) + 11 = 30 + 11 = 41°
∠ S = 7b + 14 = 7(5) + 14 = 35 + 14 = 49°
∠ Q = 90°
Answer:
y = | x + 2 | graph is going to the left and y = | x | + 2 is going up
Step-by-step explanation:
They are the same because both will have the same shape. However, they differ because y = |x| + 2 will shift two places up and y = | x + 2 | will shift two places to the left
Answer:
x = 1
Step-by-step explanation:
2x + 3 = 5
=> 2x = 5 - 3
=> 2x = 2
=> x = 2/2
=> x = 1
This question answered is corect
Answer:
Let x pound of the sugar to make 20% syrup.
As per the statement:
Mom wants to make 5 Ibs of the sugar syrup.
We have to find how much water and sugar does she need to make 20% syrup.
By definition of proportion; we have

Simplify:

Multiply both sides by 5 we get;

Remaining = 5 -1 = 4 pounds of water
Therefore, 1 pounds of sugar and 4 pounds of water does she need to make 20% syrup.