Answer:
x=45.5
Step-by-step explanation:
sum of angles of a quadrilateral is 360°
so 3x - 11+x+8+x-8+2x+7+x=360°
or 8x-4=360
or, x=364÷8
hence
x=45.5
Answer:
Two lines that intersect and form right angles are called perpendicular lines.
Answer:
<, -4
Step-by-step explanation:
-8x-20<12
add 20 to both sides
-8x=32
divide both sides by -8
x=-4
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Tags: <em>set theory divibilility divisible integers union intersection</em>
Answer:
A
Step-by-step explanation:
O = 26.6
P is a right angle so:
P = 90
angles PQO = 180
To determine Q: triangle total - (P + O)
180 - (90 + 26.6)
180 - 116.6 = 63.4
Q = 63.4
To determine side lengths: a^2 + b^2 = c^2
4^2 + b^2 = c^2
*Variable c is always hypotenuse*
Need more information so find either b or c through SOH, CAH, TOA
SOH: sine = opposite/hypotenuse
CAH: cos = adjacent/hypotenuse
TOA: tan = opposite/adjacent
tan26.6/1 = b/4
Cross multiply
1 × b = 4 × tan26.6
b = 4tan26.6
b = 2.003050791
b is about 2
b = PQ
PQ = 2
Plug b value into pythagorean theorm
4^2 + 2^2 = c^2
16 + 4 = c^2
20 = c^2
square root of 20 = square root of c^2
4.47213.... = c
c is about 4.47
c = QO
