They are congruent by SSS
triangle ANP is congruent to triangle LCK is one of several possibilities for question B
X^2 - 9x + 18
factors of 18: 1*18, 2*9, 3*6,
the sums of the factors: 19, 11, 9
the positive 18 tells us both factors have the same sign, the negative 9 tells us they are both negative
(x - 3)(x - 6)
Answer:
D
Step-by-step explanation:
Take it step by step.
The area of a rectangle is width times length.
We know the length is 7 since it's given, and we can find the width by adding shared sides of the square and triangle.
So the width is 10 + 14 or 24
That means the area of the rectangle is 7 * 24
The area of the second rectangle is 12 * 14, since they are both given.
Finally, the area of the triangle is 1/2 of the base times height and we can find the height by looking at the shared side and using the definition of a rectangle.
So the area of the triangle is 1/2 of 10 * 12.
<span>19.8 m
We have 2 similar triangles. For the 1st triangle, we have two legs, one being the man's height of 1.8m and the second being the length of his shadow at 6m. So we have the ratio 1.8/6. The other triangle is comprised of the pole's height and length of the pole's shadow which will be 60m + 6m = 66meters. So we have another ratio of x/66 which has the same value as the first ratio. So let's solve for x.
1.8/6 = x/66
66*1.8/6 = x
11*1.8 = x
19.8 = x
So the light pole is 19.8 meters tall.</span>
