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kap26 [50]
3 years ago
14

The diagram shows two parallel lines cut by a transversal.

Mathematics
1 answer:
Natali [406]3 years ago
6 0
The measure of 7 would also be the same due to the alternate exterior angle theorem.
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What are the angle relationship(s) that must be formed around a single intersection
Sergeu [11.5K]

Answer:

Step-by-step explanation:

Opposite (or in The US, vertical) angles are congruent.

Adjacent ( on the same line) angles are supplementary (that is their sum = 180 degrees).

4 0
3 years ago
From 7x^2+5xy-3y^2 subtract the sum of 2x^2+3xy-5y^2 and x^2-7xy-4y^2
Crazy boy [7]

Answer:

  4x^2 +9xy +6y^2

Step-by-step explanation:

Combine like terms. I find it useful to factor out the variable part of the expression so I can see what coefficients are being combined.

  7x^2+5xy-3y^2 - (2x^2+3xy-5y^2 + x^2-7xy-4y^2)

  = (7 -2 -1)x^2 +(5 -3+7)xy +(-3 +5 +4)y^2

  = 4x^2 +9xy +6y^2

5 0
3 years ago
If f(x) = x^2 + 1 and g(x) = 3x + 1, find [f(4)]^2 <br> 81 <br> 257 <br> 289
Vedmedyk [2.9K]
So g(x) doesn't come in
ok

remember pemdas
inside first
evaluate f(4)
f(4)=4^2+1=16+1=17
now we have

[17]^2=289

answer s 289
7 0
3 years ago
Read 2 more answers
A rectangle has a length that is three times the width . The perimeter of the rectangle is 40 feet.what is the area of the recta
charle [14.2K]

Answer:

The area is 15 feet

Step-by-step explanation:

So you are going to need two different equations-

l = w(3)

2l + 2w = 40

Insert the first equation into the second-

2(3w) + 2w = 40

Simplify this equation-

6w + 2w = 40

8w = 40

Divide both sides by 5

w = 5

Solve first equation

l = 5(3)

l = 15

Then find the area-

5 x 15 = 75

7 0
3 years ago
Any three noncollinear points are also considered to be Coplanar
Otrada [13]
Yes and they will always be coplanar.
6 0
3 years ago
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