Consider the figure attached.
Let m(R)=α degrees and m(T)=β degrees.
1.
Angle R, is an inscribed angle, intercepting the arc WTS.
This means that the measure of the arc WTS is double the measure of the angle R,
so m(arc WTS) = 2α degrees.
2.
Similarly,
Angle T, is an inscribed angle, intercepting the arc WRS. So
m(arc WRS) = 2β degrees.
3.
m(arc WTS)+m(arc WRS)=360° since these arcs cover the whole circle.
thus
2α+2β=360°
divide by 2:
α+β=180°
this means T and R are supplementary angles.
Answer:
A perpendicular line is a line that meets a 90 degree angle.
Step-by-step explanation:
Think of the letter L
the top stick of the letter is perpendicular to the bottom stick and it makes a 90 degree angle.
Thats the best way I can explain it.
Hope this helps and please mark me brainliest if it did :)
Answer: 1) Pizzeria must sell 78 pizzas for receiving the bonus.
2) The number of pizzas sold is decreased by Approximately 7.69 %.
Step-by-step explanation:
1) The number of pizza sold yesterday = 65,
The target for receiving the bonus = 20% more than the number of pizza sold yesterday
= 20% more than 65,
= 65 + 20% of 65 ( 1% = 0.01 ⇒ 20% = 0.2 )
= 65 + 0.2 × 65
= 65 + 13 = 78.
Hence, they must sell 78 pizzas for receiving the bonus.
2) If the actual number of pizza sold today = 60
⇒ Total reduction in the number of pizza = 65 - 60
= 5
Thus, the percentage decrease in the number of pizza
Answer:
See answers below
Step-by-step explanation:
Since both trinagles asre similar hence the ratio of the similar sides are equal.
From both triangles;
y + 7 = 3y - 7
y - 3y = -7-7
-2y = -14
y = 14/2
y = 7
FE = 3y - 17
FE = 3(7) - 17
FE = 21 - 17
FE = 4
AB = y'+7
AB = 7 + 7
AB = 14
Similarly
3x+20 = 5x - 80
3x -5x = -80-20
-2x = -100
x = 100/2
x = 50
<A = 3x + 20
<A = 3(50) + 20
<A = 150 + 20
<A = 170degrees
Hence x= 50 and y = 7
Answer:
number 3
Step-by-step explanation: