Answer:
angle 5 = 102
Step-by-step explanation:
angle 2 = angle 6 { they are corresponding angles }
and then angle 6 and angle 5 = 180
78 + angle 5 = 180
angle 5 = 180-78
angle 5 = 102
Answer:
Step-by-step explanation:
total tickets=20+60=80
percentage of child tickets sold=(20)/(80) ×100=25 %
A. 79
The inscribed angle is always 1/2 of the arc.
In this case angle RST is the inscribed angle and arc RT is the arc
The arc is 158
Inscribed angle=.5arc
Inscribed angle=.5(158)
Inscribed angle=79
Answer:
Step-by-step explanation:
Given rule for the multiple translations is,

Apply the rule
first.
(x, y) → (-x, -y)
This rule illustrates a rotation of the triangle FGH by 180° about the origin,
Vertices of ΔFGH are,
F → (1, 1)
G → (4, 5)
H → (5, 1)
After rotation vertices of the image triangle are,
F' → (-1, -1)
G' → (-4, -5)
H' → (-5, -1)
Further apply the rule,

(x, y) → (x + 5, y - 0.5)
By this rule of translation,
F'(-1, -1) → F"{(-1 + 5), (-1 - 0.5)}
→ F"(4, -1.5)
G'(-4, -5) → G"[(-4 + 5), (-5 - 0.5)]
→ G"(1, -5.5)
H'(-5, -1) → H"[(-5 + 5), (-1 -0.5)]
→ H"(0, -1.5)
<u>Answer-</u>
<em>Cooper will receive </em><em>$12.00</em><em> at the end of the month.</em>
<u>Solution-</u>
Cooper has $1500 in the account now and he deposits an additional $500 at the beginning of the month.
So the total principal becomes 1500+500 = $2000
Given here,
APR = annual percentage rate = 7.2%
But as we have to calculate the monthly interest, so monthly interest rate would be 
Time period = 1 month
So, the interest after 1 month will be,



Therefore, Cooper will receive $12.00 at the end of the month.