Answer:
Part a)
Part b) IHG is a semicircle and GJI is a semicircle
Part c) HIJ is a major arc and HIJG is a major arc
Part d)
Part e)
Step-by-step explanation:
Part a) Give an inscribed angle
we know that
The inscribed angle measures half that of the arc comprising
so
in this problem m<HIG is an inscribed angle
----> by central angle
substitute
Part b) Give a semicircle
we know that
The diameter divide the circle into two semicircles
so
GI is a diameter
therefore
IHG is a semicircle
GJI is a semicircle
Part c) Give a major arc
we know that
The measure of a major arc is greater than 180 degrees
therefore
HIJ is a major arc
HIJG is a major arc
Part d) Measure of arc GH
we know that
----> by central angle
so
Part e) Measure of arc GJI
we know that
----> the arc represent a semicircle
9x+ 5y=35
2x + 5y=0 |* -1
9x +5y= 35
-2x -5y= 0
-----------------
7x / = 35
x=35:7
x=5
2x+5y=0
2*5+5y=0
10+5y=0
5y=-10
y= -10:5
y=-2
Get x on one side then you can use substitution
So, change x+3y=3 to x= -3y+3
Then plug in x to other equation to find y
2(-3y +3)-3y=-12
-6y + 6 -3y = -12
-9y = -18
Divide both sides by negative nine to find y
y = 2
Then plug in to original equation to find x
x + 3(2) = 3
x + 6 = 3
x = -3
So, y = 2 and x = -3
Answer:
770 km
Step-by-step explanation:
the ratio of Ann driving to total driving = 3 : 11
× total distance traveled = 210km
total distance traveled = 210 km × = 770 km
∠Q = ∠Y = 46°
∠P = ∠X = 86°
∠R = ∠W = 48°
So, the triangles are similar by AAA
The correct answer is as shown in the attached figure