Using the Triangle Sum Theorem, find x and the missing angles (2x +1) (5x +5) x= Angle (2x+1) = Angle (5x+5) =
1 answer:
Answer:
x = 12
(2x + 1)° = 25°
(5x + 5)° = 65°
Step-by-step explanation:
By the property of a triangle,
Sum of all angles of a triangle is 180°
In the given right triangle,
(2x + 1)° + 90° + (5x + 5)°= 180°
7x + 96 = 180
7x = 180 - 96
x =
x = 12
Angle (2x + 1)° = 2(12) + 1 = 25°
Angle (5x + 5)° = 5(12) + 5 = 65°
Therefore, all three angles of the right triangle are 25°, 90° and 65°.
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<h2>Hello!</h2>
The answer is: 33.33%
<h2>Why?</h2>Since we have the average number of accidents that occurs in 1 month, and it's equal to 3, we can calculate the probability of 1 accident occurs by dividing it into the average number of accidents, using the following formula:
Where,
Favorable outcomes are the occurrence of the event, for this case, it's equal to 1.
Outcomes are the possible occurrence of the event, for this case, it's equal to 3.
So, by substituting we have:
So, the probability will be equal to 33.33%
Have a nice day!
Sphere
The surface area of the sphere is 80384 sq yd
Step-by-step explanation:
Given the ride goes around the widest circle of the sphere whose circumference is 502.40 yd.
The widest circle of the sphere is the plane contains the sphere's center
The circumference of the widest circle is where r is radius of the sphere.
The surface area of the sphere is defined as where r is radius of the sphere.
So 502.4 =
⇒502.4 = 2 × 3.14 × r
⇒ r = 502.4 ÷ (2 × 3.14)
⇒
Surface Area A =
⇒ A = 4 × 3.14 × (502.4 ÷ 6.28) × (502.4 ÷ 6.28)
⇒ A = 80384 sq yd
The surface area of the sphere is 80384 sq yd