in these triangles, side AB is congruent to side DF, and side BC is congruent to side FG. Determine the values of x and y
1 answer:
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Answer:
x = 3
y = 9
Explanation:
1- getting the value of x:
We are given that:
side AB is congruent to side DF. This means that:
AB = DF
3(2x+10) = 12x + 12
6x + 30 = 12x + 12
12x - 6x = 30 - 12
6x = 18
x = 18/6
x = 3
2- getting the value of y:
We are given that:
side BC is congruent to side FG. This means that:
BC = FG
2y + 12 = 2(2y-3)
2y + 12 = 4y - 6
4y - 2y = 12 + 6
2y = 18
y = 18/2
y = 9
Hope this helps :)
Answer:
x = 3
y = 9
Explanation:
1- getting the value of x:
We are given that:
side AB is congruent to side DF. This means that:
AB = DF
3(2x+10) = 12x + 12
6x + 30 = 12x + 12
12x - 6x = 30 - 12
6x = 18
x = 18/6
x = 3
2- getting the value of y:
We are given that:
side BC is congruent to side FG. This means that:
BC = FG
2y + 12 = 2(2y-3)
2y + 12 = 4y - 6
4y - 2y = 12 + 6
2y = 18
y = 18/2
y = 9
Hope this helps :)
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Answer:
The coordinates of the P' point are (-17.3,-10).
Step-by-step explanation:
We can use the components of the vector from 0 to P point. We know that the diameter is 40 meters, so the magnitude of the vector will be 20 m.
Now, the angle from the negative x-direction to the vector is 210°-180° = 30°.
The x-component of the vector will be:
It is negative because the component is in the negative x-direction.
The y-component of the vector will be:
It is negative too because the component is in the negative y-direction.
Therefore, the coordinates of the P' point are P'(-17.3,-10)
I hope it helps you!