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SVEN [57.7K]
3 years ago
7

What type of line is PQ?

Mathematics
1 answer:
Nastasia [14]3 years ago
5 0

Answer:

bisector

Step-by-step explanation:

PQ bisected RS and created two congruent segments

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Point T is on line segment \overline{SU} SU . Given TU=4x+1,TU=4x+1, SU=8,SU=8, and ST=3x,ST=3x, determine the numerical length
zysi [14]

Answer:

<h2>5</h2>

Step-by-step explanation:

If point T is on the line SU, then ST+TU = SU. Given  TU=4x+1, SU=8, and ST=3x

Substituting the given values into the expression ST+TU = SU

8 = 3x+4x+1

8 = 7x+1

collect like terms;

7x = 8-1

7x = 7

Divide through by 7

7x/7 = 7/7

x = 1

Substitute x = 1 into the expression TU = 4x+1 to get the length of TU

TU = 4(1)+1

TU = 4+1

TU = 5

<em>Hence the length of TU is 5</em>

6 0
3 years ago
Read 2 more answers
If f(x)=3x-2 and g(x)=x^2+1, find f(g(-1)) and g(f(3))
julsineya [31]

Answer:

f(g(-1))=4

g(f(3))=50

Step-by-step explanation:

We know the definition of both functions: f(x)=3x-2, and g(x)=x^2+1

A) In order to evaluate what f(g(-1)) is, let's first investigate what g(-1) is using the definition for this function:

g(x)=x^2+1\\g(-1)=(-1)^2+1\\g(-1)=1+1\\g(-1)=2

Now let's find what f(2) is using f(x) definition: f(x)=3x-2\\f(2)=3(2)-2\\f(2)=6-2\\f(2)=4

B) In order to evaluate what g(f(3)) is, let's first investigate what f(3) is using the definition for this function:

f(x)=3x-2\\f(3)=3(3)-2\\f(3)=9-2\\f(3)=7

Now let's find what g(7) is using the definition for this function:

g(x)=x^2+1\\g(7)=(7)^2+1\\g(7)=49+1\\g(7)=50

4 0
3 years ago
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