If it is a rhombus then you know each side is the same length, so only have to work out one side. To do this you have to use Pythagoras' theorem (a^2 + b^2 = c^2)
So take two sets of coordinates, for example, (0,3) and (5,3), a and b represent the height difference and the length difference. Therefore (5-0)^2 + (3-3)^2 = c^2
c^2 = 25
c = 5 , which would be the side of the rhombus
Step-by-step explanation:
<AOF and <COD are vertical angles.
m<AOF = m<COD = 80°
Angle Addition Postulate m<BOF - m<AOF = m<AOB
m<AOB = 135° - 80° = 55°
Answer:
63 is the least common multiple of 7 and 9
Step-by-step explanation:
There is no number smaller than 63 that could be used as the the least common multiple so multiply 7 and 9. My friend daffy duck told me, math is mystery.
Answer:
Perpendicular
Step-by-step explanation:
First note:
- Parallel lines have equal slope
- Perpendicular lines have slopes that are negative reciprocal to each other
Lets check, first we need to convert them to slope intercept form (y = mx + b), where m would be the slope.
L1:
4x + 5y = 15
5y = -4x + 15
y = -4/5x + 3
L2:
4y = 5x - 12
y = 5/4x - 3
Slope of L1 is -4/5 and Slope of L2 is 5/4
<em>Are they negative reciprocals of each other? Yes, because multiplying the slopes would give us "-1"</em>
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So the lines are Perpendicular
Answer:
58°
Step-by-step explanation:
The exterior angle of a triangle is equal to the sum of the two remote interior angles.
m∠A + m∠C = measure of exterior angle at B
2x + 2 + 54 = 4x
2x + 56 = 4x
2x = 56
x = 28
m∠A = 2x + 2 = 2(28) + 2 = 56 + 2 = 58°