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3 years ago

Find angle abc (2x+14) (x+7)

2 answers:

7 0

It's a complementary angle, so just solve for x and subtract the CBD from 90,
First, we have to solve for x.
2x + 14 + x + 7 = 90
Combine like terms
3x + 21 = 90
Balance, subtract 21 from each side.
3x = 69
Divide 3 from each side
x = 23.
So know that we know x is 23, we can go about it 2 ways, subtracting the other angle with 90 or just substituting the variable, I'd just substitute the variable for it so just do 23 + 7. That equals 30, angle ABC = 30.

Nata [24]3 years ago

6 0

Angles represented by 2x+14 and x+7 must add up to 90 degrees. Thus,

2x+14 + x+7 = 90, so that

3x + 21 = 90, or 3x = 69, or x = 23.

Then angle ABC is x+7, or 23+7, or 30 degrees.

If that's the case, then angle CBD must be 60 degrees. Is it?
Subst. 23 for x in 2x+14: 2(23)+14 =46+14 = 60 (degrees). YES.

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3 years ago

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Step-by-step explanation:

From inspection of the table, we can see that as time increases, the amount of water in the pool increases.

We are told that Ann adds water at a constant rate. Therefore, this can be modeled as a linear function.

The rate at which the water is increasing is the rate of change (which is also the slope of a linear function).

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Input these into the slope formula:

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Therefore, the rate at which the water in the pool is increasing is:

11 gallons per minute

To find the amount of water that was already in the pool when Ann started adding water, we need to create a linear equation using the found slope and one of the ordered pairs with the point-slope formula:

$y-y_1=m(x-x_1)$