Answer:
the measure of angle Q = 92°
Step-by-step explanation:
<u><em>The quadrilateral OPQR is inscribed inside a circle, then its opposite angles are supplementary</em></u>.
………………………………
Then
m∠O + m∠Q = 180
Then
2x + (2x+4) = 180
Then
4x + 4 = 180
Then
4x = 180 - 4
Then
4x = 176
Then
x = 176/4
Then
x = 44
Therefore
m∠Q = 2(44) + 4 = 88 + 4 = 92°
Answer: see below
Step-by-step explanation:
11.3x=15-2x
We move all terms to the left:
11.3x-(15-2x)=0
We add all the numbers together, and all the variables
11.3x-(-2x+15)=0
We get rid of parentheses
11.3x+2x-15=0
We add all the numbers together, and all the variables
13.3x-15=0
We move all terms containing x to the left, all other terms to the right
13.3x=15
x=15/13.3
x=1+1/7.8235294117647
Answer:
54π
Step-by-step explanation:
To find the volume of a cylinder, you multiply the area of the base times the height.
The formula for the area of a circle is πr², so the base is 9π units².
Multiplying that by the height (6 units) gives you 54π units³.
When a line is perpendicular, the slope is the negative reciprocal. Therefore, since the slope is 4, the slope of a line perpendicular is -1/4
D = 90
This is because any line is equal to 180 degrees, we see that d is situated on a line that continues into another angle, the other angle is 90 degrees, so we minus 90 from 180, to get 90.
E = 99
E is situated on a line with the other angle F, F = 81 (see below) so we minus 81 from 180
F = 81
F is situated on a line, we minus it from the other angle situated on the same line, so we minus 99 from 180to get 81
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