If the ratio of two consecutive exterior angles are 11:7, the supplement of the larger angle will be <u>70 degrees</u>.
The larger angle and the smaller angle are supplementary to each other since they are consecutive exterior to one another.
If the larger angle is x, therefore:
Ratio of Larger angle to smaller angle = 11:7
11x + 7x = 180 degrees
18x = 180
x = 10
Larger angle = 11x = 11(10) = 110 degrees
Smaller angle = 7x = 7(10) = 70 degrees
The supplement of the larger angle, 110 degrees, is <u>70 degrees.</u>
In summary, if the ratio of two consecutive exterior angles are 11:7, the supplement of the larger angle will be <u>70 degrees</u>.
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Answer:
The original graph was shifted 2 units to the left and 5 units down.
Step-by-step explanation:
y = |x|
From this, we go to: y = |x - 2|.
When we want to shift a function f(x) a units to the left, we find f(x - a). So first, the graph was shifted 2 units to the left.
y = |x - 2|.
From this, we go to: y = |x - 2| - 5.
Shifting a function f(x) down b units is the same as finding f(x) - b, so the second transformation was shifting the graph 5 units down.
1700 + 20 + 9 = 7000 = 8729 my bad I made a mistake :)
Answer:
28
Step-by-step explanation:
83 - [59 - (22-18)]
= 83 - [59 - 4]
= 83 - 55
= 28
Answer:
Last option
Step-by-step explanation:
If we expand, 
, and we see that the middle term is not negative. Thus, we need to make both factors negative so that 
.
