Supplementary angles are those whose sum is equal to 180° while those that are complementary are those whose sum is equal to 90°. Since, we are given that bre is the complement of itself, its measure can be calculated through the equation,
m∠bre + m∠bre = 90°
m∠bre = 45°
Then, for the relationship of bre and tap, we have the equation,
m∠bre + m∠tap = 180°
45° + m∠tap = 180°
m∠tap = 135°
The measure of tap is equal to 135°.
Answer:
200
Step-by-step explanation:
The nth term of an arithmetic sequence is given as:
f(n) = a + (n - 1)d
where a = first term
d = common difference
The first term of the sequence is 26 and the common difference is 2 (28 - 26 = 2)
The 88th term of the sequence is therefore:
f(88) = 26 + (88 - 1)*2
f(88) = 26 + (87 * 2)
f(88) = 26 + 174
f(88) = 200
The 88th term is 200.
We are given the relation between the height (in feet) and the distance (in miles) as follows:
y = sqrt(1.5x + (x/5280)^2).
We want to know the height (x) that makes the distance (y) = 10 miles
So, we will simply substitute in the above equation with y = 10 and calculate x as follows:
10 = sqrt(1.5x + (x/5280)^2)
we will square both sides to get rid of the root:
100 = 1.5x + (x/5280)^2
1.5x + (x/5280)^2 - 100 = 0
(x-66.11475)(x+7986.1147) = zero
either x = 66.11475 feet (accepted solution)
or x = -7986.1147 feet (rejected solution as no height is in negative)
Answer:
Step-by-step explanation:
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