Answer:
∠M = 78º
∠N = 68º
∠P = 34º
Step-by-step explanation:
we know that the inside of a triangle is equal to 180º. we also know that angle p and angle q equal 180º when added together because that's the angle of a straight line. first we need to find angle p.
180 - 146 = 34º
now we can set it up so that all the angles equal 180º when added together.
(5y + 3) + (4y + 8) + 34 = 180
5y + 4y = 9y
9y + 3 + 8 + 34 = 180
3 + 8 + 34 = 45
9y + 45 = 180
-45 -45
-------------------
9y = 135
÷9 ÷9
y = 15
now we can plug 15 in for y
(5 x 15 + 3) = 78º
(4 x 15 + 8) = 68º
to double check, add all three angles and make sure they equal 180º
78 + 68 + 34 = 180
Answer:
x=90
Step-by-step explanation:
So, since x-20 is the vertical angle directly near 70, we can say:
x-20=70.
if we solve x is 90.
HOPE IT HELPS!!!!!!!!!!!
Answer:
Answer will be 28
Step-by-step explanation:
We have to find the GCF( LCM(8,14) , LCM (7,12) )
Here GCF is stands for greatest common factor and LCM is stands for lowest common factor
Let first find LCM of (8,14)
8 = 2×2×2
14 = 2×7
So LCM will be 2×2×2××7 = 56
Now LCM of (7,12)
7 = 7×1
12 = 2×2×3
So LCM will be 2×2×3×7 = 84
Now GCF of (56,84)
56 = 2×2×2×7
84=2×2×3×7
So GCF will be 2×2×7 = 28
Answer:
AB = RS , BC = SP , CD = PQ , AD = RQ
m∠A = m∠R , m∠B = m∠S , m∠C = m∠P , m∠D = m∠Q
Step-by-step explanation:
∵ ABCD congruent to RSPQ
∴ AB = RS , BC = SP , CD = PQ , AD = RQ
∴ m∠A = m∠R , m∠B = m∠S , m∠C = m∠P , m∠D = m∠Q
Answer:
arc ABC = 196°
arc DC = 360 - 196 - 70 = 94° (which looks out of proportion, but so does angle D)
Step-by-step explanation:
arc ABC = 2(∠D) = 2(98°) = 196°
