3 years ago

In the figure, what is m∠ABE? What is m∠DBE? Enter your answers in the boxes.

Mathematics

1 answer:

lozanna [386]3 years ago

4 0

Answer:

Here is the link to find the answer. Good Luck!

Step-by-step explanation:

bit. ly/3a8Nt8n

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Point M is the midpoint of segment AB.<br> AM=3x+40 and MB=x^2. Find x and AB

Nina [5.8K]

$\text{Hello there! :)}$

$x = 8\\\\AB = 128 \text{ units}$

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$\text{Since Point M is the midpoint of AB, then:}\\\\AM = MB\\\\$

$\text{Set the two equations equal to each other:}\\\\3x + 40 = x^{2} \\\\$

$\text{Move all terms over to one side to simplify more easily:}\\\\0 = x^{2} - 3x - 40$

$\text{Factor by finding numbers that sum up to -3 and multiply into -40:}\\\\0 = (x - 8)(x + 5)\\\\x = -5, 8$

$\text{The length of a segment cannot be negative, so choose the positive solution:}\\\\x = 8$

$\text{Substitute in this value of x into either AM or MB to solve for AB:}$

$AB = 2(MB)\\\\AB = 2(x^{2} )\\\\AB = 2(8^{2})\\ \\AB = 2(64)\\\\AB = 128 \text{ units}$

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Oduvanchick [21]

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A. cos(60°)

Step-by-step explanation:

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