hi everyone!! goodmorning :))

Answer:

QT = 45

Step-by-step explanation:

ST = 65

SP = 26

RQ = 30

QT = 4x - 3

Given that ∆STR is similar to ∆PTQ, therefore:

[tex] \frac{ST}{PT} = \frac{RT}{QT} [/tex]

Plug in the values

[tex] \frac{65}{65 - 26} = \frac{30 + (4x - 3)}{4x - 3} [/tex]

Solve for x

[tex] \frac{65}{39} = \frac{30 + 4x - 3)}{4x - 3} [/tex]

[tex] \frac{5}{3} = \frac{27 + 4x}{4x - 3} [/tex]

Cross multiply

[tex] 5(4x - 3) = 3(27 + 4x) [/tex]

[tex] 20x - 15 = 81 + 12x [/tex]

Collect like terms

[tex] 20x - 12x = 81 + 15 [/tex]

[tex] 8x = 96 [/tex]

Divide both sides by 8

[tex] x = \frac{96}{8} [/tex]

[tex] x = 12 [/tex]

✅QT = 4x - 3

Plug in the value of x

QT = 4(12) - 3 = 48 - 3

QT = 45

Answer:

I believe is 3 4/6

Step-by-step explanation:

22/5  : 6/5

22/5 * 5/6

22/6

11/3

3 4/6

Answer:

11/3 or 3and2/3

Step-by-step explanation:

To change a mixed number into a fraction, you multiply the whole number by the denominator and add it to the numerator.

4 and 2/5 = 22/5

1 and 1/5 = 6/5

To divide fractions, flip one upside down and then multiply top by top, bottom by bottom

(22/5) / (6/5) = (22/5) x (5/6) = (22x5)/(5x6) = 110/20 = 11/3 or 3and2/3

Answer:

x = 11

Step-by-step explanation:

16x = 176 is the problem

You bring the 16 over the the other side.

The equation changed.

x = 176 ? 16. You don't no the operation.

If the other side is number + variable,

it equals to division cause division is

the reverse operation.

That means, the equation changes again!

x = 176/16 Its easier to reduce cause its a

2+ number one.

176/16 reduced is 11

Answer:

The slope is 4/60. Simplified is 1/15

Step-by-step explanation:

Rise over run :)

Answer:

2,350,000,000

Step-by-step explanation:

Answer:The number form of 2350 million is 2350000000. It can also be abbreviated as 2350M.

Step-by-step explanation:

Answer:

43°

Step-by-step explanation:

1. You need to create an equation: 3c+64+5c+82=90°

(Why 90°?)- this is a right triangle as you can see the little square

2. Then combine like terms

8c+146=90°

3. Subtract 146 from both sides

4. 8c=-56

5. Then divide 8 from both sides

C= -7

6. Then plug in -7 in 3c+64 and solve!

7. The final answer is 43

Answer:

26

Step-by-step explanation:

Answer:

y = 8.25x

Step-by-step explanation:

Linear Modeling

Some events can be modeled as linear functions. If a situation comes where a linear model is suitable, then we need two sample points to make the model and predict unknown behaviors.

The linear function can be expressed in the slope-intercept format:

[tex]y=mx+b[/tex]

The equation of a line passing through points (x1,y1) and (x2,y2) can be found as follows:

[tex]\displaystyle y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Let's use linear modeling to represent Steven's earnings he makes babysitting. Call y the money he charges by x hours of work.

We know he charges y1=$33 for x1=4 hours, and y2=$57.75 for x2=7 hours. The ordered pairs are (4,33) and ( 7, 57.75)

Computing the equation of the line we have:

[tex]\displaystyle y-33=\frac{57.75-33}{7-4}(x-4)[/tex]

Operating:

[tex]\displaystyle y-33=\frac{24.75}{3}(x-4)[/tex]

[tex]y - 33 = 8.25( x - 4 )[/tex]

[tex]y = 8.25x - 33 + 33[/tex]

y = 8.25x

There is a proportional relationship.

Answer:

4

Step-by-step explanation:

46+4 = 50

50/5 = 10

Answer: 25%

Step-by-step explanation:

Since there are 4 x's one x = 25%

Answer:

Step-by-step explanation:

- 100°

Step-by-step explanation:

-4x - 28 = -4(x + 7) or 4(-x - 7)

Topic: Algebraic factorization

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

Answer:

x={2,3}

Step-by-step explanation:

√5x-6=x

5x-6=x^2

x^2-5x+6=0

x^2-3x-2x+6=0

(x^2-3x)-(2x-6)=0

x(x-3)-2(x-3)=0

(x-2)*(x-3)=0

x-2=0

x=2

x-3=0

x=3

Answer:

b=6

Step-by-step explanation:

x=6

6+-2=4

2(6)+3(-2)=b

2x6=12

3x-2= -6

12+ -6+=6

b=6

Answer:

25 = 10 + w

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Plz mark as brainliest!!!

Answer:

(-5x - 2)(8x - 5)

I hope this helps!

Answer:

The answer choice is D.4-10i

Answer:

D 4 - 10i

Step-by-step explanation:

You need to to put every number of x in x of each equation

Answer:

the answer is 9/16 I hope this doesn't require step by step solve

Answer:

Step-by-step explanation:

x - 2 x 2 = 8

x times 2 = 8

x = 4

Answer:

EH

Step-by-step explanation:

Skew lines are lines that do not intersect (touch) or are parallel!

A line segment skew to AB is EF. Therefore, option EF is the correct answer.

We need to identify a segment skew to AB.

Skew lines are a pair of lines that are non-intersecting, non-parallel, and non-coplanar. This implies that skew lines can never intersect and are not parallel to each other. For lines to exist in two dimensions or in the same plane, they can either be intersecting or parallel.

From the given figure, line EF is skew line to AB.

A line segment skew to AB is EF. Therefore, option EF is the correct answer.

To learn more about the skew lines visit:

https://brainly.com/question/1995934.

#SPJ2

Answer:

I think its false

Step-by-step explanation:

the car went 8 second faster

Answer:

Buddhism arose in the eastern part of Ancient India, in and around the ancient Kingdom of Magadha (now in Bihar, India), and is based on the teachings of Siddhārtha Gautama.

Answer:

What does the vertical rectangle with intersecting lines in the shape of an "x" mean? A rectangle which has an X inside means there is a Unicode character or emoji that is meant to show there, but your system doesn't support it.

Step-by-step explanation:

go to google

Answer:

The answer is attached!

Step-by-step explanation:

But, to find the relative frequencies you will have to find the total number of responses, which is 143.

Then you will go to each box and divide the number given by the total number of response. I will show you each box below:

[tex]\frac{62}{143} = .43\\\\\frac{32}{143} = .22\\\\\frac{29}{143} = .20\\\\\frac{20}{143} = .14[/tex]

(Note here that all these add up to exactly 1 when you don't round them, but I rounded them and they add up to .99)

Hope this helps!!

- Kay :)

Answer:

table B represents the linear equation which is:

[tex]y=-3x+11[/tex]

The graph of the linear function is also attached below.

Step-by-step explanation:

Given the table B values

x               y

0              11

1               8

2               5

3               2

As the equation for the linear function

[tex]y=mx+b[/tex]

where m is the slope and b is the y-intercept

As the y-intercept can be obtained by setting x=0

From the table, it is clear that when the value of x=0, then the value of

y=11.

so (0, 11) is the y-intercept.

Also taking two points (0, 11) and (1, 8) to find the slope

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\left(x_1,\:y_1\right)=\left(0,\:11\right),\:\left(x_2,\:y_2\right)=\left(1,\:8\right)[/tex]

[tex]m=\frac{8-11}{1-0}[/tex]

[tex]m=-3[/tex]

so substituting the value m=-3 and the point (1, 8) in the point-slope form

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-8=-3\left(x-1\right)[/tex]

[tex]y-8=-3x+3[/tex]

[tex]y=-3x+3+8[/tex]

[tex]y=-3x+11[/tex]

comparing the equation with the slope-intercept form of linear equation

[tex]y=mx+b[/tex]

[tex]y=-3x+11[/tex]

here

Therefore, table B represents the linear equation which is:

[tex]y=-3x+11[/tex]

The graph of the linear function is also attached below.

Answer:

B

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

4*7=28

Mark me as brainliest

Answer:

LCM of 4 and 7 = 28

hope you understood!