Answer: 14°
Step-by-step explanation:
Given that the triangle you have is a right triangle, we know that all of it's angles must add up to 180°. Therefore, this problem is as simple as setting up a small algebra expression.
76°+90°+x=180°
166°+X=180°
-166° -166°
x = 14°
Answer:
Step-by-step explanation:
14x20=280 pounds of dog food
12x20=240 pounds of dog food
280+240=520 total pounds of food on the shelves
Answer:
Slope = 4/1
Step-by-step explanation:
The slope of a line is the rise/run.
The rise of the slope shown in the picture is 4 accordingly to the run at 1.
Answer:
67.5 ft
Step-by-step Explanation:
==>Given:
∆MAB and ∆MNP, such that:
AB is parallel to NP
MN and MP are transversal
MN = 71.5 ft
MP = 97.5 ft
AN = 22ft
MA = MP - AN = 71.5 - 22 = 49.5 ft
MB = x
==>Required:
Value of x
==>Solution:
From the figure given, since AB is parallel to NP, and MN and MP are transversal, thus:
<MAB is congruent to <MNP
<MBA is congruent to <MPN
This implies that ∆MAB is similar to ∆MNP
Therefore, the ratio of their corresponding sides would be the same, and also proportional.
Thus,
MA/MN = MB/MP
49.5/71.5 = x/97.5
=>Cross multiply to solve for x
49.5 × 97.5 = x × 71.5
4,826.25 = 71.5x
=>Divide both sides by 71.5
4,826.25/71.5 = x
67.5 = x
x = 67.5 ft
Answer:
32 because 2 divided by 2 is 0 and 64 divided by 2 is 32
