The measures of the four angles of quadrilateral ABCD are 36°, 72°, 108° and 144°
<u>Explanation:</u>
A polygon has three or more sides.
Example:
Triangle has 3 sides
Square has 4 sides
Pentagon has 5 sides and so on.
27)
In a quadrilateral ABCD, the measure of ZA, ZB, ZC and ZD are the ratio 1 : 2 : 3 : 4
We know,
sum of all the interior angles of a quadrilateral is 360°
So,
x + 2x + 3x + 4x = 360°
10x = 360°
x = 36°
Thus, the measure of four angles would be:
x = 36°
2x = 2 X 36° = 72°
3x = 3 X 36° = 108°
4x = 4 X 36° = 144°
Therefore, the measures of the four angles of quadrilateral ABCD are 36°, 72°, 108° and 144°
A, B, D
A: because there are two colour types in a deck of cards, so it’s 1/2 probability of getting a black one.
B: because there a four suits in a deck of cards, so the probability of getting a diamond is 1/4
D: because when calculating compound events we multiply the two probabilities,
so 1/2 x 1/4 = 1/8
Given:
Triangular prism.
Base area : 37.4 square yards
height : 5 yards
To find the volume of the ramp based on the given figures, we simply multiply the base area by the height.
Volume = base area * height
V = 37.4 square yards * 5 yards
V = 187 cubic yards.
The volume of the triangular prism-shaped ramp is 187 cubic yards.
Answer:
The equation for the new line in slope-intercept form is:

Step-by-step explanation:
Since they give us an equation in slope-intercept form "y=4x+5", it is easy to extract the slope the new parallel line to this should have : "4" (same slope as the reference line)
We are also given a point the new line should go through : "(1, 6)"
So we can use the "point-slope" form of a line to find the equation of this new line:

which for our case is:
