Answer:
The value of x is 106
Step-by-step explanation:
Let us solve the question
In the given figure
∵ The triangle in the given figure has two sides equal
→ That means the triangle is an isosceles triangle
∴ The triangle is isosceles
∵ In the isosceles triangle, the base angles are equal in measures
∵ The measure of one base angle is 37°
∴ The measure of other base angle is 37°
→ The sum of the measures of the interior angles of a Δ is 180°
∵ 37° + 37° + x = 180°
→ Add the like terms
∴ 74° + x = 180°
→ Subtract 74 from both sides
∵ 74 - 74 + x = 180 - 74
∴ x = 106
∴ The value of x is 106
C/30 = 8/12
c/30 = 2/3
3c = 60
c = 60/3
c = 20
Answer:
$1.53
Step-by-step explanation:
The computation of the change in the bill is shown below:
Total money he has to pay is
= $8.33 + $2.25
= $13.47
And, he have
= $10 + $5
= $15
So, the change would be
= $15 - $13.47
= $1.53
Answer:
<em>L= 9.086 feet</em>
Step-by-step explanation:
<u>Area of a Circular Sector</u>
Given a circle of radius r, the area of a circular sector defined by a central angle θ (in radians) is given by
And the length of the arc is:
We know the area of the sector is 100 square feet and the radius is r=33 ft, thus:
Solving for θ:
The arc length is:
L= 9.086 feet
