<span>-(9x + 8) - 2(x -5)
= </span><span>-9x - 8 - 2x + 10
= -11x + 2</span>
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
_____
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 two numbers used in the equation are 70+3. :D
Answer:
32/24
Step-by-step explanation:
opposite/ adjacent
Answer:
A. 322 mm^2
Step-by-step explanation:
The area of the rectangle is 14 times 20
14 x 20 = 280
The area of the rectangle is 1/2 times 14 times 6
1/2(14)(6)=42
Finally add 280 and 42 and the answer is 322
