Hi there! :)
a) (ii) The two angles are vertical angles, so they are congruent.
b)(i) y = 71°
(ii) The two angles are alternate interior angles, so they are congruent.
c) z = 44°
(ii) m∠x = 65° because the two angles are vertical angles, so they are congruent.
b) (i)
∠y is an alternate interior angle, therefore:
m∠y = 71°
c) Use the sum of interior angles of a triangle to determine the measure of angle z:
180 = 65 + 71 + z
180 = 136 + z
180 - 136 = z
z = 44°.
To start, you know that this question is asking for the surface area of one of the cylinders, and the formula to finding the surface area of a cylinder is A=2πrh+2<span>πr^2.
Now, to find the surface area, you first need to figure out the height of the plastic cylinder and its radius.
Since you know that the diameter (twice the radius) of the cylinder is equivalent to 4 marbles, and each marble has a diameter of 2 cm, the diameter of the cylinder would be 8 cm. Then, to find its radius, you divide by 2, so its radius is 4.
Now, since you know that the height of the cylinder is 10 marbles, you multiply 10 by 2 to get that the height is 20 cm tall.
Since you now have the values of the height and the radius, plug the values into the surface area of a cylinder formula (r is radius and h is height).
</span>A=2π(4)(20)+2π(4)^2.
<span>Assuming that pi is 3.14, when you simplify this using PEMDAS, you get
502.4+100.48 which then simplifies to 602.88, the area of the plastic to make one cylinder.
</span>
Answer:
16 2/3 %
Step-by-step explanation:
Since the price went down, we are find the percent decrease.
Percent decrease = (original price - new price)/ original price
= (90 - 75)/90
=15/90
.1666666666666
Changing to percent form
16.6666666666666666666666%
16 2/3 %
Answer:
slope = 0
Step-by-step explanation:
y = - is the equation of a horizontal line parallel to the x- axis.
Since it is parallel to the x- axis the slope = 0
Thus any line parallel to it will have a slope = 0
20, you have ten pencils but bring ten more count them all.