Can someone please explain to me how to solve this? I don't really understand how.
1 answer:
Step-by-step explanation:
If a point on a line is the midpoint, that means that the two segments created by the point are equal. In this case, XA = AY
We can set the two lengths equal to each-other.
Now that we know x = 6, we can solve for the lengths of each segment.
XA = 3x = 3(6) = 18
AY = 5x - 12 = 5(6) - 12 = 30 -12 = 18
XY = 3x + 5x - 12 = 8x - 12 = 8(6) - 12 = 48 - 12 = 36
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Answer:
it is a parallelogram
Step-by-step explanation:
so first plot out points and then you find the slope for each of the corresponding lines.
First lets find the slope for AB. you must subtract them and make it -2-1/-2-1. it ends up having a slope of 1.
Then find the slope of the corresponding side(CD). this we will subtract -2-1/3-6. this will have a slope of 1 and will be parallel to AB.
Next you find the slopes of the other two sides starting with AC. we will subtract -2-(-2)/-2-3. this will be a vertical line which means it has a slope of 0.
finally the last step is you see if BD has an equal slope to AC. you then subtract 1-1/1-6. this is also a vertical line so the slope is 0 just like AC so they are both parallel.
in conclusion there are two sets of parallel lines so you have a parallelogram
<h3>Answers:</h3>
14. Each leg is units long.
15 (a). The longer leg is units long
15 (b). The hypotenuse is units long
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Explanations:
For a 45 degree right triangle, aka 45-45-90 triangle, the hypotenuse is equal to sqrt(2) times the short leg. Algebraically we can say
where x is the leg and y is the hypotenuse
Let's solve for x
Now plug in the given hypotenuse y = 42, this leads to,
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For a 30-60-90 triangle, the hypotenuse is double that of the short leg. So the hypotenuse is 2*7 = 14.
The longer leg is equal to sqrt(3) times the short leg. The longer leg is