If m angle RTS = 8x + 18, find x so that line TR is perpendicular to line TS

Answers

Answer 1

Answer:

Point T is the right angle of the triangle, so RTS = 90 degrees

8x + 18 = 90 (degrees)

8x = 72

x = 9 degrees

Step-by-step explanation:

Answer 2

If  [tex]\angle RTS = 8x + 18[/tex] and line [tex]TR[/tex] is perpendicular to line [tex]TS[/tex], then  [tex]x[/tex]  will be [tex]9^0[/tex].

What is perpendicular ?

A line is said to be perpendicular to another line if the two lines intersect at a right angle i.e. make [tex]90^0[/tex] angle with that line.

We have,

[tex]\triangle RTS[/tex] in which,

[tex]\angle RTS=8x+18[/tex]

Also it is mentioned that [tex]TR \perp TS[/tex] i.e.

[tex]\angle RTS=90^0[/tex]

So, compare values of [tex]\angle RTS[/tex],

We get,

[tex]8x+18=90[/tex]

[tex]8x=72[/tex]

[tex]x=9^0[/tex]

Hence, we can say that If  [tex]\angle RTS = 8x + 18[/tex] and line [tex]TR[/tex] is perpendicular to line [tex]TS[/tex], then  [tex]x[/tex]  will be [tex]9^0[/tex].

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Related Questions

In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm, then the value of x is

Answers

Answer:

x = 8 cm

Step-by-step explanation:

Given that,

In a square PQRS, PQ = 2x +3 cm and QR = 3x – 5 cm.

We need to find the value of x.

In a square, all the sides are equal. So,

PQ = QR

2x +3 = 3x – 5

3+5 = 3x - 2x

x = 8

So, the value of x is equal to 8 cm.

HELPPP! Which answer.
A: It shows a positive correlation
B: It shows a negative correlation
C: It shows no correlation
D: As fouls increase, points decrease

Answers

Answer:

most likely C

Step-by-step explanation:

the overall shape the points make don't go in any particular direction other than sideways, so there doesn't seem to be a particular correlation

Which of the following is equivalent to 5sqrt 13^3

Answers

Answer: D) 13^(3/5)

Step-by-step explanation: This is assuming that the question is asking the √13^3. With the five as the y root.

Which polynomial represents the difference below?
(8x^2 + 9) - (3x^2 + 2x + 5)
A. 11x^2 – 2x+ 4
B. 5x^2 - 2x + 14
C. 5x^2 - 2x + 4
D. 11x^2 + 2x + 14
PLSSS help I don’t got da money for a trial

Answers

Answer: C. 5x^2-2x+4
all you need to do to figure this out is distribute the minus sign to the last part of the polynomial and then just combine the common factors in it.
hope this helps :)

Find the nth term of the quadratic sequence

Answers

Answer:

x^2

Step-by-step explanation:

all the numbers are square roots so n square is the nth term.

2^2= 4

3^2=9

4^2=16

5^2=25

6^2=36

Answer:

[tex] {n}^{2} [/tex]

Step-by-step explanation:

Drawing number into triangular dot pattern and making a square (with same numbers of dots in rows and columns) will give a square number. Similarly, 16 = 42 = 32 + (3 + 3 + 1), 25 = 52 = 42 + (4 + 4 + 1) and so on.

A newsletter publisher believes that less than 49% of their readers own a laptop. For marketing purposes, a potential advertiser wants to confirm this claim. After performing a test at the 0.10 level of significance, the advertiser decides to reject the null hypothesis. What is the conclusion regarding the publisher's claim

Answers

Answer:

The answer is "At the 0,10 level, there should be enough proof that the percentage is below 49%"

Step-by-step explanation:

Null and alternative hypothesis:

[tex]H_0 :P \geq 0.49\\\\H_1:P<0.49 \ \ (\text{Left tailed test})\\\\[/tex]

Significance level: [tex]\alpha = 0.10[/tex]

It is decided that the null hypothesis at the defined meaning level is rejected.

y = 4 x − 1
y = − x + 4

Answers

Answer:

x=1 , y=3

Step-by-step explanation:

y = 4 x − 1

4(y = − x + 4)

y = 4 x − 1

4y= - 4 x +16

5y= 15

y=3

3=4x-1

+1     +1

4=4x

/4  /4

x=1

What is the area of a rectangle with a length of x + 5
and a width of 4?

Answers

Answer:

[tex]area = (length \times width) \\ = (x + 5) \times 4 \\ = (4x + 20) \: square \: units[/tex]

The function f(x)=300x/x^2+200 represents the monthly sales in hundreds of cds x months after the cd was released. Each statement interpretes a key feature of the function based on the table. Which statement is an interpretation of the end behavior

Answers

Answer is d hope it helps

Find all x-intercepts of the function. Express your answer as a list of x-values.
f(x)=x ^5-3x^3

Answers

Answer:

[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]

Step-by-step explanation:

[tex]f(x)=x^5-3x^3[/tex]

[tex]0=x^5-3x^3[/tex]

[tex]x^5-3x^3=0[/tex]

[tex]x^3(x^2-3)=0[/tex]

[tex]x^3=0[/tex] and [tex]x^2-3=0[/tex]

[tex]x=0[/tex] and [tex]x=\pm\sqrt{3}[/tex]

See the graph for a visual of the x-intercepts.

Does anyone know the Answer for this

Answers

y= -6, hope this helps

Answer:

The value of y when x = 8 is -8.

Step-by-step explanation:

y = 8 - 2x

y = 8 - 2*8

y = 8 - 16

y = -8

Have a nice day!

How many questions were on Victoria test

Answers

25!

(80/100)*x=20
x=25

100% Verified

Hope this helps! :)

Find the value of x.

a
x = 104
b
x = 72.5
c
x = 166
d
x = 93.5

Answers

Answer:

x=104

Step-by-step explanation:

Angle Formed by Two Secants= 1/2(difference of Intercepted Arcs)

10.5 = 1/2( x-83)

Multiply each side by 2

2* 10.5 = 2*1/2( x-83)

21 = x-83

Add 83 to each side

21+83 = x-83+83

104 =x

Hope this help!!!

Have a nice day!!!

In the figure GHF=EHD. Which statement it true brother CP CTC?
A) FH=HE
B) DH=HF
C) GH=HD
D) GF=HD

Answers

I DONT KNOW THIS IS SO HARD:(((

Answer: DH and HF correspond.

Solve for u.
U/-1 +-4=-1
U =

Answers

Answer:

U = -3

Step-by-step explanation:

U/-1 +-4=-1

Add 4 to each side

U/-1 +-4+4=-1+4

U / -1 = 3

Multiply each side by -1

U / -1  * -1 = 3* -1

U = -3

Which undefined term is used to define an angle?

line
plane
point
ray

Answers

The answer is point.

The undefined term is point.

What is an angle?

In geometry, an angle is formed when two rays are joined at their endpoints. These rays are called the sides or arms of the angle. Let us read about the different parts of an angle.

Parts of an Angle

There are two main parts related to an angle - the arms and the vertex.

Arms of the Angle

The two rays which join at a common point to form the angle are called the arms of the angle. Observe the figure given below which shows that OA and OB are the arms of the angle AOB.

[tex]vertex[/tex]of the angle

[tex]vertex[/tex] is a common endpoint that is shared by the two rays. Observe the figure in which the [tex]vertex[/tex] O is marked as the joining point of the two arms.

Measure of an angle

An angle is measured in degrees. One full rotation around a point forms a complete angle of 360°.

As, the is defined on the basis of arms , vertices, measurement.

They all related to point and point doesn't have a particular definition.

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Solve 7x+6<3(x - 2).

Answers

Answer:

x<−3

Step-by-step explanation:

hope this works

A parallelogram-shaped window is divided into two sections by a rectangular piece of wood. Find the total of the area of the surface.

The total area of the glass surface is _ square inches

Answers

answer: 288 sq in
explanation: subtract 4 from 22 because 4 in is the wood in the middle.
22 - 4 = 18
then you do l x w
18 x 16 = 288

+3x-4x what is the answer for this equation

Answers

Answer:

[tex]-x[/tex]

Step-by-step explanation:

[tex]3x-4x = -1x[/tex]

Hope this helps

PLEASE HELP ASAP!!

What is the solution to the inequality |2n+5|> 1?
A)-3> n > -2
B)2< n <3
C)n<-3 or n>-2
D)n< 2 or n> 3

Answers

The correct answer is C

Answer:

C, n < –3 or n > –2

Step-by-step explanation:

the corresponding side length of two similar polygons are 6cm and 15cm if the area of smaller polygon is 32cm^2 then what is the area of the larger triangle?​

Answers

The answer is 2/4 because you subtract because

what two numbers multiply to -78 and add to -7

Answers

546 Is The Answer

#KeepOnLearning

Answer:

13 and -6      or     6 and -13

Step-by-step explanation:

Use systems of equations

If you can please help me with this question~ the question is the image :)

Answers

Answer:

B

Step-by-step explanation:

Start by using the distance formula to find the raidus

The two points are (-2,1) and (-4,1)

√((-4+2)²+(1-1)²)= 2

The radius is two and we have our center which means we can write

(x+2)²+(y-1)²=4

now it's just a matter of expanding everyhting

x²+4x+4+y²-2y-3=0

x²+y²+4x-2y+1=0

This is equal to B

The Thompson’s went out to eat at the Cheesecake Factory. If their bill was $68.65 and they gave their server a 15% tip, how much did they pay altogether?

Answers

Answer:

$78.94

Step-by-step explanation:

15% = 0.15

multiply to the total (68.65)

0.15 × 68.65 = 10.2975

$68.65 + 10.2975 = $78.94

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Select the response that best answers the question below
In a school of 910 pupils, į are boys and
of the boys wear glasses. How many
boys wear glasses?
(A)
156
(B)
390
(C)
520
(D) 754​

Answers

Answer:

What is the number of boys? I think you forgot to add the number in.

Step-by-step explanation:

Don't worry, I'll still help you! I'll be here waiting! :)

Round your answer to one decimal digit. The volume of a cylinder is 1 800 cm3. If the height of the cylinder is 40 cm then the diameter of the cylinder is

Answers

Answer:

7.57 cm

Step-by-step explanation:

Volume of a cylinder = πr²h

π = 3.14

r= radius

h = height

1,800 = 3.14 x r² x 40

r² = 1800 /(3.14 x 40)

r² = 14.33121

√14.33121 = r

r = 3.785658 cm

the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.

A radius is half of the diameter

Diameter = 2 x 3.785658 cm = 7.57cm

A total of 3600 athletes partipated in the Singapore 2010 youth Olympic Games. There were 1200 media representatives who reported on the games, 20,000 volunteers who helped out during the games and 370,000 spectators who attended the games. Find the ratio of The number of media representatives to the number athletes to the number of spectators

Answers

Step-by-step explanation:

answer is in the image above

Drag each shape to the correct category.
Identify which shapes are similar to shape A and which are not
8
7
6
15
4
1
3
2
1
-10-9
-7
-6
-5 -4
-3
-2 -1
1
2
3
4
5
6
28
9
10
-1
-2
-3
-4
17
-5
-6

Answers

Answer:

D- 456 is 3 2 7 4 = Ab

Step-by-step explanation:

Write the quadratic equation in standard form:
-7x+4=x^2

Answers

it would be x^2+7x-4, you just move everything to one side.

Answer:

x² + 7x - 4 = 0

Step-by-step explanation:

A quadratic equation in standard form is

ax² + bx + c = 0 ( a ≠ 0 )

Given

- 7x + 4 = x² ( subtract - 7x + 4 from both sides )

0 = x² + 7x - 4 , that is

x² + 7x - 4 = 0 ← in standard form

13. You are 3 inches taller than you were last year last year you were 60 inches tall. How tall are you now?

Answers

63 inches tall

Explanation: 60+3= 63

Answer:

63 inches tall.

Step-by-step explanation:

60 + 3 = 63.

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