For the first one, they got rid of the 6x when they shouldn’t have, and the correct answer is x = 21.5
For the second one, 47 would be subtracted by 180, not 90, and the correct answer is 133
For the third one, 5x - 10 doesn’t equal 115, 5x - 10 equals 180 - 115, and the correct answer is x = 17
Answer:
f-96=124
Step-by-step explanation:
This is the equation of the sentence that has been mentioned.
If there is no number in between sets of numbers, it's going to be multiplication.
So (w+2) x (w+7)
w+2, well, evaluates into w+2.
w+7 is w+7.
We'll use the FOIL method for this.
FOIL stands for:
First
Outer
Inner
Last
Let's start with the first terms. Multiply them.
So: w * w.
Combine both w's, and you get

.
Now multiply the outer terms.
w * 7 = 7w.
Then the inner terms. 2 and w.
2 x w = 2w.
So our current numbers are:

, 7w, and 2w.
We can add 7w and 2w together.
7w + 2w = 9w.
Now multiply the last terms.
2 x 7 = 14.
So, this simplifies to

Hope this helped!
Hello!
To do this, we know the two triangles are similar, so we can set up a proportion, and then find the length of the lake.
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The two triangles (Triangle AEB and ADC) are similar. We know this because all the angles have the same measurement - They all share angle A, they both have a right angle, and therefore, their third angle measures the same.
What we know about both triangles is their hypotenuse length. We know that triangle AEB has a hypotenuse that measures 320 m, and ADC has a hypotenuse that measures 320 + 162, or 482 m.
320 : 482 is therefore the ratio between the side lengths of two triangles (AEB : ADC). We can simplify this to 160 : 241.
Now, what we are looking for is the side length DC. The corresponding side to this in triangle AEB is EB, and we know it measures 40 m. Therefore, using the ratio, we can find the measure of DC.
160 / 4 : 241 / 4
40 : 60.25
Therefore, the measure of DC is 60.25 m.
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Hope this helps!
With what? There’s no picture