Can you use the perpendicular bisector theorem converse to determine if two segments are perpendicular?

Mathematics

1 answer:

nadya68 [22]2 years ago

6 0

If AD and DB are equal that means that this is an isoselles triangle so we can use that information and the perpendicular bisector theorem to confirm that AB is perpendicular to CD

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Write an equation, in point-slope form, of the line that passes through the point (4, -3) with a slope -7.

Ilya [14]

Answer:

point-slope form:

y - 10 = -4(x - -2)

y - 10 = -4(x + 2)

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slope-intercept form:

y - 10 = -4x - 8

y = -4x - 8 + 10

y = -4x + 2

Step-by-step explanation:

6 0

3 years ago

Brenda says a good estimate for 50× 31 3/4 is 800. is this correct? Explain.

QveST [7]

At first glance, it seems like a good estimate; big numbers make bigger number.
But, this is multiplication, which means big numbers will make an extraordinarily big number, in proportion to the numbers themselves.
If you round 31 3/4 up to 32, you can multiply that by 50. To make the estimate easier, multiply 50 by 2,
50 x 2 = 100
Take the zeros off 50 and 30 to make this a bit simpler, and multiply 5 by 3,
5 x 3 = 15
Add each of the zeros you took off to the 15 to make 1500 (1 zero was taken off 50, and 1 off of 30),
And then add 1500 to that other 100
1500 + 100 = 1600
A good estimate for 50 x 31 3/4 would be 1600, not 800.
Therefore,
No. Brenda's estimate of 800 is NOT a good estimate.

3 0

4 years ago

Read 2 more answers

A triangle has height 4 ft and area 32 ft2. What is the lenght of the base?

Blizzard [7]

$A=32ft^2 \\\\ A=\frac{b*h}{2} \\\\ \frac{b*4}{2}=32 \\\\ b=\frac{2*32}{4} \\\\ b=2*8 \\\\ \boxed{b=16ft}$