the equation is made and the included values are indicated.
Answer:
Sum of the opposite pair of a cyclic quadrilateral is 180°.
c= 180-102= 78°
c= 180-102= 78°d= 180-92= 88°
<em><u>intercepted arc</u></em>
=>2(102°)= 140+a°
a=64°
<u>Simillarly</u>
=> 2(d°)= a°+b°
b°= 112°
so ....
<u>a=64°</u>
<u>a=64°b=112°</u>
<u>a=64°b=112°c=78°</u>
<u>a=64°b=112°c=78°d=88</u>
<em><u>hope it helps you</u></em><u> </u><u>.</u><u>.</u><u>.</u><u>.</u>
Answer:
<u>The correct answer is B. x ≈ 4.5, y = 5, z = 9</u>
Step-by-step explanation:
1. We will use the Pythagorean theorem for solving for x, this way:
x² = 6² - 4²
x² = 36 - 16
x² = 20
x = √20
x = 2 √5 = 4.47 ≈ 4.5
2. For solving for y, we will do it this way:
There are only two possible options: y = 5, included in answer B or y = 9 as it is defined on answer C.
If we review it carefully, we will realize that y = 9 is not accurate because as we can see in the graph y + 4 = z and in this specific case, 9 + 4 ≠ 5 but it's true that 5 + 4 = 9.
<u>Because of this reason, the correct answer is B. x ≈ 4.5, y = 5, z = 9</u>
