9514 1404 393
Answer:
14. C) 136°
15. C) 40°
Step-by-step explanation:
Inscribed angles are half the measure of the arc they intercept. For an inscribed quadrilateral, this means opposite angles are supplementary.
__
14) ∠H +∠W = 180°
34x +55x +2 = 180
89x = 178 . . . . . . . . . subtract 2
x = 2 . . . . . . . . . . . . . divide by 89
arc VX = 2(34x) = 68(2) = 136 . . . degrees
__
15) The sum of angles in the triangle is 180°.
? + 80° + (120°/2) = 180°
? = 40° . . . . . . . . . . subtract 140°
2+a-2=16 hopefully this will help
Since R is the midmoint of QS that means that QR and RS are equal to each other. So first you need to find x. There are many different ways to set up the equation to solve for x, but I'll show you the easiest one:
QR+QS=RT+QR
(2x-4)+(2x-4)=(8x-43)+(2x-4)
Combine like terms:
4x-8=10x-47
Isolate Variable:
4x-8=10x-47
-4x -4x
6x-47=-8
Isolate Constant:
6x-47=-8
+47 +47
6x=39
Divide:
x=6.5
Check Your Answer:
(Plug in 6.5 as x)
(4(6.5)-8)=(8(6.5)-43)+(2(6.5)-4)
18=18
Answer:
8,905cm²
Step-by-step explanation:
Area= Length × Breadth
=137cm × 65cm
= 8,905cm²
