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3 years ago

Someone please help me

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

7 0

In order to prove these triangles congruent by SAS, AB and DE must be congruent. Thus, C is your answer.

Have an awesome day! :)

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Match each set of vertices with the type of triangle they form.

Andrew [12]

Answer: The calculations are done below.

Step-by-step explanation:

(i) Let the vertices be A(2,0), B(3,2) and C(5,1). Then,

$AB=\sqrt{(2-3)^2+(0-2)^2}=\sqrt{5},\\\\BC=\sqrt{(3-5)^2+(2-1)^2}=\sqrt{5},\\\\CA=\sqrt{(5-2)^2+(1-0)^2}=\sqrt{10}.$

Since, AB = BC and AB² + BC² = CA², so triangle ABC here will be an isosceles right-angled triangle.

(ii) Let the vertices be A(4,2), B(6,2) and C(5,3.73). Then,

$AB=\sqrt{(4-6)^2+(2-2)^2}=\sqrt{4}=2,\\\\BC=\sqrt{(6-5)^2+(2-3.73)^2}=\sqrt{14.3729},\\\\CA=\sqrt{(5-4)^2+(3.73-2)^2}=\sqrt{14.3729}.$

Since, BC = CA, so the triangle ABC will be an isosceles triangle.

(iii) Let the vertices be A(-5,2), B(-4,4) and C(-2,2). Then,

$AB=\sqrt{(-5+4)^2+(2-4)^2}=\sqrt{5},\\\\BC=\sqrt{(-4+2)^2+(4-2)^2}=\sqrt{8},\\\\CA=\sqrt{(-2+5)^2+(2-2)^2}=\sqrt{9}.$

Since, AB ≠ BC ≠ CA, so this will be an acute scalene triangle, because all the angles are acute.

(iv) Let the vertices be A(-3,1), B(-3,4) and C(-1,1). Then,

$AB=\sqrt{(-3+3)^2+(1-4)^2}=\sqrt{9}=3,\\\\BC=\sqrt{(-3+1)^2+(4-1)^2}=\sqrt{13},\\\\CA=\sqrt{(-1+3)^2+(1-1)^2}=\sqrt 4.$

Since AB² + CA² = BC², so this will be a right angled triangle.

(v) Let the vertices be A(-4,2), B(-2,4) and C(-1,4). Then,

$AB=\sqrt{(-4+2)^2+(2-4)^2}=\sqrt{8},\\\\BC=\sqrt{(-2+1)^2+(4-4)^2}=\sqrt{1}=1,\\\\CA=\sqrt{(-1+4)^2+(4-2)^2}=\sqrt{13}.$

Since AB ≠ BC ≠ CA, and so this will be an obtuse scalene triangle, because one angle that is opposite to CA will be obtuse.

Thus, the match is done.

4 0

3 years ago

Read 2 more answers

What’s the geometric formula

Anni [7]

I think the answer would be be C.

8 0

3 years ago

Read 2 more answers

You need to borrow $15,000 to buy a car, and you determine that you can afford monthly payments of $325. The bank offers three c

Klio2033 [76]

Answer:

the 5yr/ $270mth

Step-by-step explanation:

$15k × 8% = $1200 interest

$15k + $1200 = $16,200.00

$16500 ÷ 60months (5years) = $270/mth pymt

4 0

3 years ago

I need help this one plz help me 4b-7-15b+3

Arte-miy333 [17]

Combine like terms the variables first. 4b-15b=-11b
-7+3=-4
-11b-4

7 0

3 years ago

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The ratio of green pepper plants to red pepper plants in Joe's garden is 2:7. If Joe has 20 more red pepper plants than green pe

Marta_Voda [28]

I found that Joe has 28 red pepper plants and 8 green pepper plants.

to find this, I first set up a proportion:
7/2 = (20+x)/x

then you cross multiply giving you:
7x = 40 + 2x

Subtract 2x from both sides:
5x = 40

solve for x:
x = 8 (which is the amount of green pepper plants)

to find how many red pepper plants he has, plug in x for (20 + x) giving you 28 red pepper plants

Hope I helped :)

5 0

3 years ago