Answer:
Measure of angle XCY is 60°.
Step-by-step explanation:
"Measure of all inscribed angles by the same arc in one segment of the circle are equal"
Using this property in the given circle,
m∠XWY = m∠XCY
60x = 61x - 1
61x - 60x = 1
x = 1
By substituting the value of 'x' in the measure of ∠XCY,
m∠XCY = 61x - 1
= 61(1) - 1
= 61 - 1
= 60°
Therefore, measure of angle XCY is 60°.
Answer:
The box must be 3 inches in height
Step-by-step explanation:
In this question, we are concerned about calculating the height of the supplies box.
To be able to get the value for the volume, we need to use the mathematical formula.
Since It is a rectangular prism, the volume V = l * b * h
where l, b and h are the length, breadth and height respectively. Now , it is the measurement of the base that is l * b, hence the base area in this question is 6 * 5 = 30 inches^2
The height of the supply box is thus 90/30 = 3 inches high
Answer:
74°
Step-by-step explanation:
From the attached figure, translation only affects the length of the sides of the triangle :
From the figure :
We are given ;
A = 80° ; C = 26° ; B =?
Sum of angles in a triangle :
A + B + C = 180°
80° + B + 26° = 180°
106° + B = 180°
B = 180 - 106
B = 74°
