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!
Answer:
m1 = 44 m2 = 46
Step-by-step explanation:
On the opposite side of the 1, there is a 44
The 1 and 44 seem like the same angle so m1 is 44
Rectangles have four right angles which measure as 90°
90-44 = 46
<u>Please </u><u>give </u><u>brainliest </u><u>if </u><u>I </u><u>helped!</u><u> </u><u>:</u><u>)</u>
1) 40-25= 15
2) 15/3=5
3) each gift costs $5
Then to check:
1) 5x3=15
2) 25+15=40
Therefore p=5
The result of the expression in exponential form is 9^-4
<h3>Product of exponents</h3>
Given the expression below

According the product law, since the base are equal, we will add the exponent to have:

Hence the result of the expression in exponential form is 9^-4
Learn more on exponents here; brainly.com/question/11975096
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