Answer:
∠ G = 26°, ∠ F = 154°
Step-by-step explanation:
Express ∠ F in terms of ∠ G, that is
F = 6G - 2
and since the angles are supplementary, then
G + 6G - 2 = 180, that is
7G - 2 = 180 ( add 2 to both sides )
7G = 182 ( divide both sides by 7 )
G = 26
Thus
∠ G = 26° and ∠ F = 6(26) - 2 = 156 - 2 = 154°
Answer:
a) XY , XVY
b) 248°
c) UV , UY
d) 6√5 = 13.42
Step-by-step explanation:
a) The minor arc is XY
The major arc is XVY
b) ∵ The measure of the minor arc is 112°
∵ The measure of the circle is 360°
∴ The measure of the rest arc = 360 - 112 = 248°
c) UV is the tangent to the circle
UY is the secant to the circle
d) ∵ UV is a tangent to the circle at V
∵ UY is a secant to the circle
∴ (UV)² = (UX) × (UY)
∵ UX = 9 and XY = 11 ⇒ ∴ UY = 11 + 9 = 20
∴ (UV)² = 9 × 20 = 180
∴ UV = √180 = 6√5 = 13.42
B since you can rewrite it as (2x+7)(x-4)=0 and you can solve it and you get B
Answer:
c=602 is the answer i will explain later
