Answer:
70 degrees
Step-by-step explanation:
Measure of arc ABC is 128 degrees, so measure of arc BC is 128-90 = 38 degrees.
Meausure of arc BCD is 102 + 38 = 140 degrees, so measure of angle A is 140/2 = 70 degrees
Answer:
Step-by-step explanation:
Remark
Let the shorter base = x
Let the longer base = 3x
h = 5
Area = 60
Formula
Area = (b1 + b2)*h /2
Solution
60 = (x + 3x)*5 / 2 Multiply both sides by 2
2*60 = (x + 3x)*5 Combine like terms
120 = 4x *5
120 = 20x Divide by 20
120/20 = x
x = 6
Therefore the two bases are
x = 6
3x = 18
9514 1404 393
Answer:
(c) Yes, because angle 3 and angle 6 are congruent
Step-by-step explanation:
Angles 3 and 6 are "alternate interior" angles. When those angles are congruent, as these are, then the lines crossed by the transversal are parallel.
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We expect angles 5 and 6 to be supplementary because they are a linear pair. That fact says nothing about the relationship of line d to line c.
They are both periodic functions that look like waves. They both have a period of 2pi and oscillate between 1 and -1.
Answer:
177 ft below sea level.
Step-by-step explanation:
Initial altitude of the hot air balloon = 282 below sea level
Rate of rise of balloon = 10 ft / second
Time = 12 seconds
Total rise in 12 seconds = Rate of rise of balloon 
Time
= 120 ft
Now, we will have to subtract to find the new altitude.
New altitude = 282 - 120 = 162 ft
Now, it is given that balloon Captain lowers the balloon 15 ft.
To find the final altitude, we will have to add it to the previous altitude.
Therefore, the final altitude = 162 + 15 = <em>177 ft below sea level </em>
