Answer:
arc AC = 111°
Step-by-step explanation:
∠APC is a central angle, so arc AC is equal to the measure of ∠APC.
∠APC and ∠BPC are supplementary. So, m∠APC + m∠BPC = 180
m∠APC + 69 = 180
m∠APC = 111
arc AC = 111°
Answer:
x = 14
Step-by-step explanation:
The polygon given has 6 sides
Sum of interior angles of a 6-sided polygon = 180(n - 2)
substitute n = 6 into 180(n - 2)
Sum of the polygon = 180(6 - 2) = 720°
Thus:
10x + 8x - 16 + 12x - 8 + 7x + 2 + 9x + 4 + 6x + 10 = 720
Add like terms
52x - 8 = 720
52x = 720 + 8
52x = 728
x = 728/52
x = 14
The vertex where the two triangles touch forms a pair of vertical angles, so that the angles on opposites sides of the vertex are congruent. You're shown that two legs of both triangles are congruent. All this tells you that the two triangles are isosceles, and furthermore that they are similar because of the congruence of their "base" angles.
This means
Look for the one with Parallel diagonals
Answer:
222 = score in 2nd game
Step-by-step explanation:
Let x = score in 1st game
3/4(x) + 30 = score in 2nd game
x + 3/4(x) + 30 = 478 Multiply thru by 4 to eliminate the fraction
4x + 3x + 120 = 1912
7x + 120 = 1912
7x = 1792
x = 256
3/4(x) + 30 = 3/4(256) + 30
= 192 + 30
222 = score in 2nd game
Check: 222 + 256 = 478
