The measure of angle E is (b) 50°
<h3>How to determine the angle measure?</h3>
The given parameters are:
- ΔCAB is similar to ΔCED
- AB and ED are parallel
The similarity of the triangles implies that:
- angle C = angle C
- angle A = angle E
- angle B = angle D
From the figure, we have:
angle A = 50
Substitute angle A = 50 in angle A = angle E
angle E = 50
Hence, the measure of angle E is (b) 50°
Read more about similar triangles at:
brainly.com/question/14285697
#SPJ1
5(2x + 6) = -4(-5 - 2x) + 3x
Distribute: 10x + 30 = 20 + 8x + 3x
Combine like terms: 10x + 30 = 20 + 11x
Simplify: 10x + 30 - 20 = 20 - 20 + 11x
Simplify: 10x - 10x + 10 = 11x - 10x
Divide for x: 10/1 = 1x/1
x = 10
To start, the question is asking for surface area of a cylinder, meaning you will have to use this formula to find it: A=2πrh+2πr^2.
Since you already know that the diameter of the plastic cylinder is 4 marbles long, and each marble is 2 cm in diameter, you would multiply 4 and 2 to get that your diameter is 8 cm. However, since the surface area of a cylinder formula uses radius, you would simply divide 8 by 2 to get that the radius of the cylinder is 4 cm.
Now, since you already know that the height of the cylinder is equal to 10 marbles, multiply the amount of marbles by 2 to get that the height of the cylinder is 20 cm.
Now that you know the height and the diameter of the cylinder, plug the values into the formula: A=2π(4)(20)+2π(4)^2.
Assuming that pi is 3.14, simplify the equation as according to PEMDAS and you get that the area of plastic needed to make one cylinder is 602.88 cm squared
Step-by-step explanation:
here ! I used the formula area = length × width
and just some algrbric expressions solving
