In the figure, PQ is parallel to RS. The length of RP is 5 cm; the length of PT is 30 cm; the length of QT is 60 cm. what is the length of SQ?

A. 10 cm
B. 2 cm
C. 6 cm
D. 20 cm

thank you!​

Answer:

Y=5/16x -3/4

Step-by-step explanation:

3/8 * 8/3y=(5/6x -2) *3/8

y=5/16x - 3/4

The standard form of the equation is  5x -16y = 2.

It is required to find the standard form.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

According to given question we have,

The least common multiple of the fraction denominators is 6. Multiplying by that gives

 16y = 5x -2

We can put this in standard form by adding 2-16y to both sides.

 5x -16y = 2

Therefore, the standard form of the equation is  5x -16y = 2.

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Answer:

Lesser x is -13.

Greater x is 1.

Step-by-step explanation:

We have the function:

[tex]f(x)=(x+6)^2-49[/tex]

And we want to find the zeros of the function.

So, set f(x) to 0 and solve for x:

[tex](x+6)^2-49=0[/tex]

Add 49 to both sides:

[tex](x+6)^2=49[/tex]

Take the square root of both sides. Since we're taking an even root, we will need plus/minus:

[tex]x+6=\pm 7[/tex]

Subtract 6 from both sides:

[tex]x=\pm7-6[/tex]

Evaluate for each case:

Case 1; 7 is positive:

[tex]x=7-6=1[/tex]

Case 2; 7 is negative:

[tex]x=-7-6=-13[/tex]

So, our zeros are:

[tex]\{x|-13, 1\}[/tex]

Our lesser x is -13, and our greater x is 1.

And we're done!

Answer:

x=1

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

a negative plus a positive is equal to a negative minus a negative. -29+30=-29-(-30)

Take away negative 30 from -29 and you get 1.

Answer: 3500

Step-by-step explanation:

7 x 10 to the 5th power = 700000

2 x 10 squared = 200

700000/200 = 3500

Answer:

4201750

Step-by-step explanation:

7*10^5/2*10^2

7*10=70

2*10=20

70^5/20^2

70^5 =1680700000

20^2=400

1680700000/400=4201750

Answer:

the fourth one on the bottom right

Step-by-step explanation:

Triangular prism is represented by the first net on the top.

In geometry, a three-dimensional shape can be defined as a solid figure or an object or shape that has three dimensions – length, width, and height.

According to the question,

As shown given three dimensional figure is triangular prism.

In triangular prism we have,

Three rectangular face and two triangular face.

When we open the figure triangular faces should be on opposite side.

Hence, first figure on the top is representing the triangular prism.

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Answer:

x = 7

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)

Answer:

12 R 147

Step-by-step explanation:

16 square feet (also can be written with an exponent 2 as in 16 ft^2)

Cube root of 64 is 4.

Why cube root? Because you need to multiply three numbers to get volume ( length, width, height.)

4x4 is 16.

Area, so you have to add the square feet

16 ft^2

Or

16 square feet

Pls mark branliest if this helped

Answer:y= 5/2v + −15/2

Step-by-step explanation:

−4y+7=−10v+37

Step 1: Add -7 to both sides.

−4y+7+−7=−10v+37+−7

−4y=−10v+30

Step 2: Divide both sides by -4.

−4y/−4 =−10v+30/−4

y= 5/2v + −15/2

Answer:

2+2

Step-by-step explanation:

Two negatives together make a positive.

Answer:

2+2

Step-by-step explanation:

A positive minus a negative is a positive. Think of the two minus signs turning in to one plus sign.

Answer:

£6045?

Step-by-step explanation:

Answer:

A, B, D are the answers

Step-by-step explanation:

Answer:

x= -13

Step-by-step explanation:

-x= 13

x=-13

Answer:

13 urgupieux8ttc9y d6 og

Answer:

[tex]\$3886.8[/tex]

Step-by-step explanation:

Commission received on selling each storm window [tex]=8\%[/tex] of the selling price of each storm window

Commission received on selling each door [tex]=12\%[/tex] of the selling price of each door

Amount earned on selling storm windows = $5,400

Amount earned on selling doors = $28,790

Commission received on selling storm windows [tex]=\frac{8}{100}(5,400)=\$432[/tex]

Commission received on selling doors [tex]=\frac{12}{100}(28,790)=\$3454.8[/tex]

Therefore,

Total  commission received [tex]=432+3454.8=\$3886.8[/tex]

Answer:

D.56

Step-by-step explanation:

The third side of the triangle is

73-24 < x< 73+24  by the Triangle Inequality Theorem

49 < x< 97

The only number between 49 and 97 is 56

Answer:

  D.  |C -305,000| ≤ 80,000

Step-by-step explanation:

Such an equation will say that the difference from the average of these values is at most half of their difference.

  | C -(225000+385000)/2 | ≤ (385000 -225000)/2

  |C -305,000| ≤ 80,000 . . . . . matches choice D

Answer:

A) 2

Step-by-step explanation:

For this problem, you can create an equation.

2n+4=4n

Then, divide by 2.

n+2=2n

Finally, subtract n from both sides.

2=n

Answer:

Cactus Juice

Step-by-step explanation:

After drinking cactus juice, Sokka begins to hallucinate. Katara, Sokka, Toph, and Momo stagger tiredly through the desert.

Answer:

Cactus Juice. The quenchiest.

Complete Question:

Alicia is writing the program for a video game. For one part of the game she uses the rule (x,y)->(x-3,y+4) to move points on the screen.

A) what output does the rule give when the input is (-6,0)?

B)What output does the rule give when the input is (3,-4)?

C) Is the rule a function? Explain why it is or why it is not

Answer:

a. The output is (-9,4)

b. The output is (0,0)

c. See Explanation

Step-by-step explanation:

Given

Rule: (x,y)->(x - 3, y + 4)

Solving (a):

Inputs:

[tex]x = -6[/tex]

[tex]y = 0[/tex]

The outputs is as follows;

[tex]x => x - 3[/tex]

[tex]x => -6 - 3[/tex]

[tex]x => -9[/tex]

[tex]y=> y + 4[/tex]

[tex]y=> 0 + 4[/tex]

[tex]y=> 4[/tex]

Hence:

The output is (-9,4)

Solving (b):

Inputs:

[tex]x = 3[/tex]

[tex]y = -4[/tex]

The outputs is as follows;

[tex]x => x - 3[/tex]

[tex]x=>3-3[/tex]

[tex]x = 0[/tex]

[tex]y=> y + 4[/tex]

[tex]y=>-4+4[/tex]

[tex]y=>0[/tex]

Hence:

The output is (0,0)

Solving (c):

The function is a rule and the rule is that:

It shifts the graph left by 3 units and up by 4 units

Answer:

4x^(2)+x-4 = 0

(2x^(2)-6x+2)3/5 - ( -1/2) = 9

Step-by-step explanation:

Answer:

75%?

Step-by-step explanation:

Not 100% on this, need better explenation.

Answer: 75%

Step-by-step explanation:

Answer:

x < - 3

Step-by-step explanation:

Given

4x + 6 < - 6 ( subtract 6 from both sides )

4x < - 12 ( divide both sides by 4 )

x < - 3

Answer:

y = -4

Step-by-step explanation:

6 - 3y = 6

now were going to get the variable and the numbers on different sides

6 - 3y - 6 = - 3y

6 + 6 = 12

now divide each side by -3

-3y / -3 = y

12 / -3 = -4

y = -4

Answer:

1/6

Step-by-step explanation:

Given that :

Total surveyed (u) = 120

n(Cane's chicken fingers) = 50

n(Layne's chicken fingers) = 80

n(do not like either) = 10

a)

What is the probability that someone surveyed likes both Raising Cane's and Layne's chicken fingers?

n(Cane's n Layne's) = 20

u = 120

P = required outcome / total possible outcomes

P(Layne's and Cane's chicken) = [n(Cane's n Layne's)/ u]

= 20 / 120

= 1/6

Answer:

31.7

Step-by-step explanation:

Just subtract

Step-by-step explanation:

T3=8

8=a+2d

where a is first term ,d is common ratio

8=a+2(2)

8=a+4

a=8-4

a=4

first term T1 is 4

T2=a+d

T2=4+2

T2=6

T4=a+3d

T4=4+3(2)

T4=4+6

T4=10

T5=a+4d

T5=2+4(2)

T5=4+8

T5=12

4,6,8,10,12

Answer:

x is the horizontal line on the middle of a graph and the y is the vertical line on the middle of a graph

Step-by-step explanation:

Answer:

xy and xy is the same, equal and congruent.

Step-by-step explanation:

By the way you write it, it looks the same.