Answer:
x = 70°
Step-by-step explanation:
The relevant relations are ...
- base angles of an isosceles triangle are congruent
- consecutive interior angles where parallel lines meet a transversal are supplementary
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Triangle OBQ is isosceles, so angle OQB = 40°. Triangle OPQ is isosceles, so angle OQP is x. The sum of angles OQB and OQP is angle BQP, which is supplementary to angle OPQ. That is, ...
(40° +x) +x = 180°
2x = 140° . . . . . . subtract 40°
x = 70° . . . . . . divide by 2
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There are many ways to find x. The one shown here is just one of them. In general, right triangles, isosceles triangles, symmetry, inscribed angles can all be used to write relations involving the known angles and x.
The answer is c because you have to divide first and round the decimal by one place to the left or right
Answer:
so it will be (1, 2)
Step-by-step explanation:
Answer:
a. earned: $292.50
b. total: $2,092.50
Step-by-step explanation:
A = 1800 [1 + (0.065 * 2.5)] = 2092.5
A = $2,092.50
To find the amount is earned, subtract the total with how much to started with
2,092 - 1,800 = 292.50
The last one is the only one that will work.
For the first one the y intercept is when x = 0. The point would be 0,4
The second one gives a point of (4,0)
The third one is nonsense. (4,4) is not on this line.
