Answer:
m<M=98
Step-by-step explanation:
(3x-16)+(x+6)+(x)= 180 *triangles equal 180*
5x-16+6=180 *combine xs*
5x-10=180 *combine variables*
5x=190 *since its -10 add 10 on both sides to isolate x*
5x/5=190/5 *divide 190 by 5 to isolate x further to get answer*
x=38 *answer for x*
-----------------------------------------------------------------------------------------------------------------<u>To find m<M</u>
3x-16
3(38)-16
98
-----------------------------------------------------------------------------------------------------------------<u>To find m<O</u>
x+6
(38)+6
44
-----------------------------------------------------------------------------------------------------------------<u>To find m<N</u>
x
(38)
38
--------------------------------------------------------------------------------------------------------------m<M=98
m<O=44
m<N=38
98+44+38=180
Hope it helps!
Answer:
It is 235
Step-by-step explanation:
Answer:
a=1 or a=5
Step-by-step explanation:
+4=6a−1
Step 1: Subtract 6a-1 from both sides.
+4−(6a−1)=6a−1−(6a−1)
−6a+5=0
Step 2: Factor left side of equation.
(a−1)(a−5)=0
Step 3: Set factors equal to 0.
a−1=0 or a−5=0
a=1 or a=5
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Answer:
∠ 5 = 40°
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles and supplementary, thus
∠ 2 = 180° - ∠ 1 = 180° - 140° = 40°
∠ 5 and ∠ 2 are alternate angles and congruent , thus
∠ 5 = 40°