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2 years ago

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In the diagram, TQ is 18 units in length. Line l is a perpendicular bisector of line segment R Q. It intersects line segment R Q

at point T. Line l also contains point S. Line segment R T is 2 x + 10. Line segment S Q is 9 x minus 11. What is the length of RS? 16 units 18 units 25 units 46 units

2 answers:

Andre45 [30]2 years ago

9 0

Answer:

25

Step-by-step explanation:

alexandr1967 [171]2 years ago

6 0

Answer:

$RS=25\ units$

Step-by-step explanation:

we know that

If line I s a perpendicular bisector of line segment R Q at point T

then

T is the midpoint of line segment RQ

and

$RT=TQ$

we have

$TQ=18\ units$

so

$RT=18\ units$

Find the value of x

we have

$RT=2x+10$

substitute the value of RT

$18=2x+10$

solve for x

$2x=18-10\\2x=8\\x=4$

Find the value of SQ

$SQ=9x-11$

substitute the value of x

$SQ=9(4)-11=25\ units$

we have that

Triangle RTS and Triangle QTS are congruent by SAS

see the attached figure to better understand the problem

so

$RS=SQ$

therefore

$RS=25\ units$

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zloy xaker [14]

Answer:

Number of special bagel sandwiches = 37

Step-by-step explanation:

Let $x,y$ denote number of special bagel sandwiches and plain bagels respectively.

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$x+y=100\\y=100-x$

Also, The bagel shop made $385.

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Put $y=100-x$ in $7x+2y=385$

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Number of special bagel sandwiches = 37

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valentina_108 [34]

What is the question?
I'm assuming it is to find the length and width.
+_= plus or minus
(X+36)
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(X) | |
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kodGreya [7K]

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RSB [31]

Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

$f(x)=x^{2}$

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

$g(x)=-5x^{2}+100x-450$

This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

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Complete the square

$g(x)=-5(x^{2}-20x)-450$

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$g(x)=-5(x^{2}-20x+100)+50$

$g(x)=-5(x-10)^{2}+50$

The vertex is the point (10,50)

so

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

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Gre4nikov [31]

Answer:

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Step-by-step explanation:

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The Range is the set of y values that make the function defined. Allowed y values for the function (mapping).

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