The answer:
according to the image, the main theorem concerning right triangle similarity is as follow:
the altitude to the hypotenuse of a right triangle divides the triangle into two triangles that are similar to the original triangle and each other,
in our case, KL is the altitude, and by applying theorem, we get three triangles that are similar:
therefore:
<span>△JKL ~ △JKM
</span><span>△JKM ~ △JKM
</span><span>△JMK ~ △KML</span>
Answer:
A' (3, 8 )
Step-by-step explanation:
Applying the translation rule to A (1, 3 )
A (1, 3 ) → A' (1 + 2, 3 + 5 ) → A' (3, 8 )
Answer: -3 ≤ x ≤ -1
Step-by-step explanation:
1 ≤ 3 - 4x ≤ 9
1 + 3 ≤ - 4x ≤ 9 + 3; Add 3 on all sides
4 ≤ -4x ≤ 12
1 ≤ -x ≤ 3; Divide 4 on all sides
-1 ≥ x ≥ -3; Multiply -1 on all sides(FYI: When multiplying or dividing negative numbers in inequalities, make sure to reverse the signs as well)
Answer:
$
or ≈$
Step-by-step explanation
The question states that Mrs. Hadley spent $126.97 on one month, $237.81 on the next, and $198.42 on the last. To get the total, we can add these values together.

An estimation would be:

We can use this estimation to determine that the total value is reasonable.
Answer:
the answer is x=-25/56
Step-by-step explanation:
2 4/5x=-1 1/4
14/5x=-5/4
x=-25/56