Answer:
74
Step-by-step explanation:
Say that arc JL going through M is arc E and JL going the other way is arc D
For the angle formed by two tangents, K=(1/2)(E-D)
64=E-D
Furthermore, angle K and central angle JCL (facing toward K) are supplementary, so 180-K=JCL=180-32=148
Thus, as the angles around angle C add up to 360, angle JCL (facing toward M) is 360-148=32+180=212
E is then 212
64=212-D
212-64=D=148
Thus, as JML is an inscribed angle, M=1/2(D)=1/2(148)=74
Answer: 53. B similar
Step-by-step explanation:
Answer:
Adults = x
Students = y = x + 40. 40 more student than adult
Adult = $8, Student = $6
Total for Adults = 8*x = 8x
Total for students = 6*y = 6y
Total = $1920
8x + 6y = 1920
Hence system of equations are:
y = x + 40
8x + 6y = 1920
To solve the problem we will put the values given to us in the formula of volume of a prism.
<h2>Prism</h2>
A prism is a 3d shape whose two sides are the base sides which are polygon, with the other faces as parallelograms.
The height of the prism is
.
<h2>Explanation</h2>
Given to us
- volume of a rectangular prism = (x3 – 3x2 5x – 3),
- area of its base = (x2 – 2)
- the volume of a rectangular prism is the product of its base area and height,
As given to us,


Substituting the values we get,

Hence, the height of the prism is
.
Learn more about Volume of Prism:
brainly.com/question/1578538
<u>Given</u>:
Given that the radius of the circle is 9 units.
The measure of the angle JHG is 160°
We need to determine the area of the shaded sector of the circle.
<u>Area of the circle:</u>
The area of the circle can be determined using the formula,

where r is the radius
Substituting r = 9 and
, we get;

Simplifying, we get;


Thus, the area of the shaded sector of the circle is 36π units²
Hence, Option a is the correct answer.