All categories

3 years ago

TV−→− bisects ∠RTS. If the m∠RTV=(16x−6)° and m∠VTS=(13x+9)° , what is the value of x and the m∠RTV ?

Mathematics

1 answer:

natta225 [31]3 years ago

8 0

Answer:

$x = 5$

$RTV = 74$

Step-by-step explanation:

Given

$RTV=16x - 6$

$VTS=13x+9$

Required

Determine the values of x and RTV

Since, TV is a bisector, then

$RTS = RTV + VTS$ --- (1)

and

$RTV = VTS$ -- (2)

Substitute values of RTV and VTS in (2)

$16x - 6 = 13x + 9$

Collect Like Terms

$16x - 13x = 9 + 6$

$3x = 15$

Solve for x

$x = 5$

Substitute 5 for x in $RTV=16x - 6$

$RTV = 16 * 5 - 6$

$RTV = 80 - 6$

$RTV = 74$

You might be interested in

Suppose you have a bag of jelly beans: 7 yellow, 3 green, 6 red, 4 purple. All of the

Len [333]

Answer:

I would say that the answer is 4/20

4 0

3 years ago

2. Draw the image of ∆RST under the dilation with scale factor ⅓ and center of dilation at the origin. Label the image ∆R’S’T’.

Alchen [17]

Since center of dilation is the origin, this is easy. Just divide all of the x and y coordinate values by 3. Place the new point on the graph, and draw the triangle.

R' = R(3,6)/3 = (3/3,6/3)=(1,2). So R'(1,2)
S' = S(-3,6)/3 = (-3/3,6/3)=(-1,2). So S'(-1,2)
T' = T(-6,-6)/3 = (-6/3,-6/3)=(-2,-2). So T'(-2,-2)

So you now know the location of the 3 new points. R' at (1,2), S' at (-1,2) and T' at (-2,-2). Simply draw those 3 points on your graph and connect the lines to make a new triangle.

6 0

3 years ago

A side of an equilateral triangle is 2/8 cm long. Draw a picture that shows the triangle

lianna [129]

Here you go. I hope this will help

7 0

4 years ago

Mrs. Smith left a 15% tip for a dinner that cost $62.40. About how much tip did Mrs. Smith leave?

Veronika [31]

Given :- 

Mrs. Smith left a 15% tip for a dinner that cost $62.40.

To find :- 

About how much tip did Mrs. Smith leave?

Solution :- 

The tip is 15% of $62.40 .

• Calculating 15% of $62.40

$ 62.40 * 15%
$ 62.40 * 15/100
$ 9.36

4 0

3 years ago

Read 2 more answers

Suppose you have read two different books on world war 2 and each book has different arguments about how the war started which o

Dafna11 [192]

Answer:

Well this is my opinion I would try to compared both them and see if they have something familiar in their arguments. If not I would try to view their different point of view and write your own opinion about it. I would check out another book about the World War 2 because there's infinite of books about it.

3 0

3 years ago