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2 years ago

A triangle has vertices T(-2,4), E(6,2), and D(1,-1). Is ATED a right triangle?

Mathematics

1 answer:

inessss [21]2 years ago

6 0

Answer:

B. Yes, because ED is perpendicular to DT which makes a right angle.

Step-by-step explanation:

Plot the given points and connect in pairs to get a triangle.

Visually we can say it is a right triangle as legs TD and ED seem perpendicular.

Let's confirm this by finding the slopes.

Slope of TD:

m = (-1 - 4)/(1 -(-2)) = -5/3

Slope of ED:

(-1 - 2)/ (1 - 6) = -3/-5 = 3/5

Product of the slopes is:

-5/3*3/5 = -1

This confirms DT⊥ED

Correct choice is B

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The prime factor of 180

alisha [4.7K]

Answer: 5*2*2*3*3

Step-by-step explanation:

First you divide 180 by 2 and you get 90. Then you proceed to divide that by 2 again and get 45. You will then divide 45 by 3 to get 15. Then divide 15 by 3 again and get 5, which cannot be divided any smaller.

180/2=90

90/2=45

45/3=15

15/3=5

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3 years ago

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2 years ago

A coral reef grows 0.15 m every week. How much does it grow in 11 weeks?

Misha Larkins [42]

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2 years ago

Dado el número N = 4752a, averigua qué valor ha de tomar "a" para que: a) N sea divisible por tres. b) N sea divisible por cinco

lara [203]

Answer:

I will answer it in English:

a) We have te number N = 4752a

if we want to divide it by 3, then the addition of all the digits must be a multiple of 3.

Sum = 4 + 7 + 5 + 2 + a = 6 + 7 + 5 + a = 18 + a

and 18 is a multiple of 3, then we can have, a = 0, a = 3, a = 6, a= 9

b) A number is divisible by 5 if it ends on 5 or 0, so the possible values of a are 0 and 5.

c) we know that 15*3 = 45

then 15*3000= 45000

now we have:

4752a - 45000 = 252a

15*13 = 2520

then we have that a must be equal to zero, and:

15*(13 + 3000) = 47520

d) We want a number that when we divide it by 7, the surpass is 5.

a number is divisible by 7 if the difference between the number without the units and the double of the units is 0 or a multiple of 7.

in N = 4752x the unit is a, then we have:

D = 4752 - 2*x

now, let's choose a such we have a multiple of 7

we know that 5746 is a multiple of 7, so we can choose x= 3 and get:

D = 4752 - 2*3 = 5746

So the number N = 47523 is a multiple of 7, and when we divide it by 7 we will have a surpass of 0.

Then when we divide N + 5 by 7, we will have a surpass of 7.

This is: N + 5 = 47528

This means that the actual value of a that we need is 8.

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3 years ago

A percent measures a rate a) per unit b)per 10 unit c) per 100 unit d) per 1000 unit

Artyom0805 [142]

Answer:

$\boxed{Option \ C}$

Step-by-step explanation:

Percentage means "out of hundred" So measuring the rate in percentage we've to find it using "per 100 units".

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3 years ago

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