Answer:
Step-by-step explanation:
Vertical Angles are congruent, so set the two expressions equal to each other:
[x + 30]° = [3x - 18]°
-[3x]° - [3x]°
___________
−18° = 30° - [2x]°
- 30° - 30°
____________
−48° = [−2x]°
____ ___
−2° −2°
[Plug this back into both expressions to get both <em>m</em>∠<em>N</em> and <em>m</em>∠<em>M</em> at 54°.]
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9514 1404 393
Answer:
f(x) = -1/2·10^x
Step-by-step explanation:
The y-intercept is -1/2.
The common ratio is (-1/20)/(-1/200) = 10, so the exponential function can be written as ...
f(x) = -1/2·10^x
Answer:
291.666666667
Step-by-step explanation:
Rounds to 291.7
Answer:
93°, 89°, 93°
Step-by-step explanation:
∠1 and ∠4 are supplementary angles:
m∠1 + m∠4 = 180°; m∠1 = 93°
∠2 and ∠4 are vertical angles:
m∠2 = m∠4 = 87°
∠3 and ∠4 are supplementary angles:
m∠3 + m∠4 = 180°; m∠3 = 93°
Answer:
9
Step-by-step explanation:
18:2
?:1
?=9
