Answer:
282°
Step-by-step explanation:
The measure of long arc KLM can be found by first determining the measure of short arc KM. That arc can be found using the inscribed angle theorem.
__
<h3>value of x</h3>
The inscribed angle theorem tells you the measure of arc KM is twice the measure of the inscribed angle KLM that subtends it. This relation can be used to find the value of x, hence the measure of the arc.
2∠KLM = arc KM
2(5x -1) = 8x +14
10x -2 = 8x +14 . . . . . . eliminate parentheses
2x = 16 . . . . . . . . . . add 2-8x
x = 8 . . . . . . . . . divide by 2
<h3>measure of arc KM</h3>
The expression for the measure of arc KM can be evaluated.
arc KM = 8x +14 = 8(8) +14 = 78°
<h3>
measure of arc KLM</h3>
The total of arcs of a circle is 360°, so the measure of long arc KLM will bring the total with arc KM to 360°:
arc KM +arc KLM = 360°
arc KLM = 360° -arc KM
arc KLM = 360° -78° = 282°
The measure are long arc KLM is 282°.
Answer:
58
Step-by-step explanation:
Since two of the sides are both 6.2, we know that this is an isosceles triangle. Thus, the two angles opposite of x are both equal (61 degrees).
The angles inside of a triangle always add up to 180, so now we have
180 = 61 + 61 + x
Solving for x, we get x = 180 - (61 + 61) = 180 - 122 = 58
Answer:
77
Step-by-step explanation:
84/12=7
so
7*11= 77
Answer:
x ---- y
1 ---- 3
4 ---- 12
6 ---- 18
Step-by-step explanation:
Given
Required
Create a table that represents this scenario
Because x represents time, x can not be negative. So, the domain of x is:
Assume 
Assume x = 4
Assume x = 6
Hence, the table is:
x ---- y
1 ---- 3
4 ---- 12
6 ---- 18
Answer:
XZ
Step-by-step explanation:
The intersection of the 2 planes is along the line XZ
