Answer:
100°
Step-by-step explanation:
all four angles added together total 360°
x = 360° - 60° - 110° - 90°
x = 100°
Answer: The measure of angle C is 107 degrees.
When, you have a quadrilateral inscribed in a circle, measure of the opposites sides are supplementary (they add to 180). Therefore, we can write and solve the following equation with angles D and B to find the value of x in the problem.
3x + 9 + 2x - 4 = 180
5x + 5 = 180
5x = 175
x = 35
Now, input x = 35 into the expression for A to find that the measure of angle A is 73.
Since A and C are supplementary:
A + C = 180
73 + C = 180
C = 107
We gots a right triangle withe legs 8 and 15
remember if we got a right triangle with legs length a and b and hytponuse c then
a²+b²=c²
so
diagonal=c
so
8²+15²=c²
64+225=c²
289=c²
sqrt both sides
17=c
the diagonal is 17in
The answer is the last one bc 2.55 divided by 8 is 0.21
39×2÷6=13
13-5=8 mm. The other base of the trapezoid is 8 mm. Let check it:
1/2(8+5)×6
=1/2×13×6
=39 square mm. Hope it help!
