Answer:
68 is what I'm getting for x
70 is the correct length of DH
Step-by-step explanation:
You can set up the proportion for this question.
99.2 / 62 = 112/(x + 2) Cross multiply
99.2 ( x + 2) = 62 * 112 Combine the right side
99.2(x + 2) = 6944 Use the distributive principle to remove the brackets.
99.2*x + 2*99.2 = 6944 Combine the factors on the left
99.2x + 198.4 = 6944 Subtract 198.4 from both sides
99.2x = 6944 - 198.4 Combine the terms on the right
99.2x = 6745.6 Divide both sides by 99.2
x = 6745.6/99.2
x = 68
DH = 70
Answer:
<em>The third side of the triangle must have a length between 23 yd and 41 yd.</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
We have to side lengths: y=32 yd and z = 9 yd, thus the range of possible values for the third side x is:
32 - 9 < x < 32 + 9
23 < x < 41
The third side of the triangle must have a length between 23 yd and 41 yd.
There are 100 possibilities for the last two digits [ if we include
00].....therefore....you have 1/100 chance [1 % ] chance of
choosing the correct one.....
Answer:
(2 a - b) (18 a - 9 b - 4)
Step-by-step explanation:
Factor the following:
9 (2 a - b)^2 - 4 (2 a - b)
Factor 2 a - b out of 9 (2 a - b)^2 - 4 (2 a - b):
(2 a - b) (9 (2 a - b) - 4)
9 (2 a - b) = 18 a - 9 b:
Answer: (2 a - b) (18 a - 9 b - 4)
Answer
Ivanna started jogging at 7:20