Answer:
x = 7
Step-by-step explanation:
The angle adjacent to the 70 degree angle is also 70 degrees. We assume that there are four 90-degree angles in the center of the figure. Thus, 8x - 36 + 70 + 90 = 180 (the sum of the interior angles is 180 degrees).
Solving 8x - 36 + 70 + 90 = 180 for x:
8x - 36 = 20, or 8x = 56.
Dividing both sides by 8 yields x = 7.
Answer:
(d) y= (1 1/9)x
Step-by-step explanation:
A proportional relation is described by the equation ...
y = kx
Dividing by x shows how to find the value of k:
k = y/x
For the given values of y and x, the value of k is found to be ...
k = (5/6)/(3/4) = (5/6)(4/3) = 20/18 = 10/9 = 1 1/9
The relationship is represented by the equation ...
y = (1 1/9)
Step-by-step answer:
Answer to problems of this kind is the reciprocal of the harmonic mean of the time required.
We need to find the average of the speeds, not the average of the time.
The respective speeds are 1/3 and 1/4.
The average of the speeds is therefore (1/3+1/4)/2 = 7/24 (harmonic mean of the time taken).
The time required is therefore the reciprocal of the unit speed,
T = 1/(7/24) = 24/7 = 3 3/7 minutes, or approximately 3.43 minutes.
Answer:
a) 24
b) 10
c) 12/13
d) 5/13
e) 12/5
Step-by-step explanation:
a) We can see that the leg opposite <C is AB, and we are given AB = 24
b) We can see the leg adjacent to <C is AC, and we are given that AC = 10
c) The trig function sine is equal to
The opposite, AB, is 24, and the hypotenuse, BC, is 26. We can plug those numbers in:
d)The trig function cosine is equal to
The adjacent, AC, is 10, and the hypotenuse, BC, is 26. We can plug those numbers in:
d)The trig function tangent is equal to
The opposite, AB, is 24, and the adjacent, AC, is 10. We can plug those numbers in:
Answer:
first one should be SAS
second one should be the third choice
