Answer:
x = 30
Step-by-step explanation:
The two angles add to a right angle which is 90 degrees
30 +2x = 90
Subtract 30 from each side
30 +2x - 30 =90-30
2x= 60
Divide each side by 2
2x/2 = 60/2
x = 30
Answer:
w = 10 in
Step-by-step explanation:
Perimeter is the measure of the length of all sides
48 = 2L + 2w
L = w + 4
^ use substitution
48 = 2(w + 4) + 2w simplify.
48 = 2w + 8 + 2w combine like terms
48 = 4w + 8 then subtract 8 from both sides
40 = 4w then divide by 4 to isolate w
10 = w
Answer:
10%
Step-by-step explanation:
The computation of the percentage of bulbs that switched on incandescent is as follows;
Let us assume the incandescent be I
And, the fluorescent be F
Now the equation is
0.4I + 0.9F = 0.8 (I+F)
0.41I + 0.9F = 0.8I + 0.8F
So here
0.4I = 0.1F
Now the percentage would be for incandescent in the case of switched on is
= 0.4I ÷ 0.8(I+F) × 100
= 0.1F ÷ 1F
= 10%
In the fundamental counting principle, you are multiplying to get the total number of possibilities as a result. For example, if you have 5 different types of bread, 8 types of cheese, and 6 types of meat, you have 240 choices (8 x 6 x 5).
