Answer: 61°
because this is a parallelogram
=> m∠X = m∠Z
⇔ 7x + 5 = 8x - 3
⇔ x = 8
with x = 8 => m∠X = 7.8 + 5 = 61°
Step-by-step explanation:
9514 1404 393
Answer:
(c) y=2^x
Step-by-step explanation:
You can check each of the offered functions to see which one fits. It is often informative to check the last of the offered points.
5^2 ≠ 32
2×5 ≠ 32
2^5 = 32 . . . . . a good candidate
5 +2 ≠ 32
Only the third choice matches the given ordered pairs.
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If you're trying to figure out the function, it is often useful to look at the differences between given values. The x-values differ by 1. The y-values differ by 2, 4, 8, 16. These are not constant, so the function is not linear (eliminates B and D). These differences don't have a common difference, so the function is not quadratic (eliminates A).
Both the y-values and their differences have a common ratio of 2, a strong indicator this is an exponential function with a base of 2 (matches C).
Answer:
a. V = 3M
b. T = 5S
c. Y = 17x
d. H = 12M
e. P = 0.5N
Step-by-step explanation:
a. V= 12 when M =4
12/4 = 3, so in this case, V is 3 times M, that is, V = 3M
b. T= 5 when S=1
5/1 = 5, so in this case, T is 5 times S, that is, T = 5S
c. Y= 34 when x=2
34/2 = 17, so in this case, Y is 17 times x, that is, Y = 17x
d. H=48 when M=4
48/4 = 12, so in this case, H is 12 times M, that is, H = 12M
e. P= 5 when N=10
5/10 = 1/2 = 0.5, so in this case, P is half of N, that is, P = 0.5N
Answer:
1) x=z-m
3) x=g-c
5) a=u-k
7) x=u+k
9) x=k-w+v
11) x=d+r-c
13) a=p-n+m
2) a=g+c
4) a=z/m
6) a=u/k
8) x=v+w/k
10) x=m-y-z
12) a=r-d/c
14) x=w-v/k
Step-by-step explanation: