The answer is: 98
Cause is you add everything you will get that
Answer:
a = 82
b = 130
c = 118
Step-by-step explanation:
A quadrilateral is inscribed in a circle. So, it is a cyclic quadrilateral.
Opposite angles of a cyclic quadrilateral are supplementary.
Therefore,
a° + 98° = 180°
a° = 180° - 98°
a° = 82°
a = 82
By inscribed angle theorem:
a° = 1/2(b° + 34°)
82° * 2 = b° + 34°
164° - 34° = b°
b° = 130°
b = 130
Again by inscribed angle theorem:
76° = 1/2(c° + 34°)
76° *2 = c° + 34°
152° - 34° = c°
c° = 118°
c = 118
Answer:
The horizontal distance from the center is 49.3883 feet
Step-by-step explanation:
The equation of an ellipse is equal to:

Where a is the half of the wide, b is the high of the ellipse, x is the horizontal distance from the center and y is the height of the ellipse at that distance.
Then, replacing a by 106/2 and b by 33.9, we get:

Therefore, the horizontal distances from the center of the arch where the height is equal to 12.3 feet is calculated replacing y by 12.3 and solving for x as:

So, the horizontal distance from the center is 49.3883 feet
Answer:
B. 
Step-by-step explanation:
First, using two points (0, -4) and (3, 5), find slope:

Slope, m = 3
Next, determine the y-intercept, b.
The y-intercept is the value of y when x = 0. It is the point where the line intercepts the y-axis.
From the graph given, y-intercept, b, is -4.
Substitute b = -4 and m = 3 into
.
The equation would be:
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Answer:
1/8 is half of 1/4 so, you need to measure half cup