Answer:
m<1 = 39
m<2 = 51
Step-by-step explanation:
For this problem, you need to understand that a little square in the bottom of two connecting lines represents a right-angle (an angle this 90 degrees). This problem, gives you two relationships for angle 1 and angle 2 within a right-angle. Using this information, we can solve for the measures of the two angles.
Let's write the two relations:
m< 1 = 3x
m< 2 = x + 38
And now let's right an equation that represents the two angles to the picture:
m<1 + m<2 = 90
Using this information, let's substitute the expressions we have for the two angles and solve for x. Once we have the value of x, we can find the measure of the two angles.
m< 1 + m< 2 = 90
(3x) + (x + 38) = 90
3x + x + 38 = 90
x ( 3 + 1 ) + 38 = 90
x ( 4 ) + 38 = 90
4x + 38 = 90
4x + 38 - 38 = 90 - 38
4x = 90 - 38
4x = 52
4x * (1/4) = 52 * (1/4)
x = 52 * (1/4)
x = 13
Now that we have the value of x, we simply plug it back into our expressions for the m<1 and m<2.
m<1 = 3x = 3(13) = 39
m<2 = x + 38 = 13 + 38 = 51
And we can verify this is correct with the relational equation:
m<1 + m<2 = 90
39 + 51 ?= 90
90 == 90
Hence, we have found the values of m<1 and m<2.
Cheers.
Answer:
B. Minor arc
Step-by-step explanation:
The central angle that is subtended by arc XY is less than 180° and it is not up to a semicircle.
A semicircle is half of a circle of which its central angle measure exactly 180°
The central angle of which an arc is subtended measures more than 180°.
Therefore, arc XY, which has a central angle that subtends it measuring 155° can be said to be a minor arc.
Answer:
secondary
Step-by-step explanation:
mixing two primary colors together always makes a secondary
Answer:
24
Step-by-step explanation:
5^2-3^2=?
25-9=16
sqrt 16 = 4
6×4=24
4 = <span>√16
</span>√16 * √3 = <span>√48
</span>√48 - <span>√27</span>