Find x and y. Give reasons to justify your solution. AB, CD, EF, and GH are straight lines.

Answer:

[tex]\huge\boxed{120 \textdegree}[/tex]

Step-by-step explanation:

In order to solve for m∠TSP, we can use basic angle relationships and equations.

Let’s assume m∠PSW is [tex]x[/tex]°

We know that if two angles are supplementary, their angle lengths will add to 180°.

We also know that m∠TSP is twice as large as PSW. Since PSW is represented as x°, TSP will be 2x°.

We can add these two angles together and get 180°. Then you can solve for x (PSW)

So we know that x (PSW) is 60°. However, the question asks for the measure of TSP. We know that TSP is twice as large as PSW, so we can multiply PSW (60) by 2.

[tex]60 \cdot 2 = 120[/tex]

So m∠TSP is 120°.

Hope this helped!

Answer:

The coordinates of the midpoint of LB are (1, 3.5)

Step-by-step explanation:

The rule of the midpoint of a segment its endpoints are (x1, y1) and (x2, y2) is [tex]M=(\frac{x1+x2}{2},\frac{y1+y2}{2})[/tex]

Let us use this rule to solve the question

∵ M is the midpoint of segment LB

∵ The coordinates of point L are (8, 5)

∴ x1 = 8 and y1 = 5

∵ The coordinates of point B are (-6, 2)

∴ x2 = -6 and y2 = 2

→ Substitute these values in the rule of the mid point above

∵ [tex]M=(\frac{8+-6}{2},\frac{5+2}{2})[/tex]

→ Remember (+)(-) = (-)

∴ [tex]M=(\frac{8-6}{2},\frac{7}{2})[/tex]

∴ [tex]M=(\frac{2}{2},\frac{7}{2})[/tex]

∴ M = (1, 3.5)

∴ The coordinates of the midpoint of LB are (1, 3.5)

Answer: y= -2x + 3

Step-by-step explanation:

Answer:

4(2x-3)

Step-by-step explanation:

Answer:

4 x (2x-3)

I hope it helps

Pls mark as Brainliest

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

So if you know that order pairs go like (x,y) that means that the 12 in (12,y) is the x so if we plug into the equation we can get y...

[tex]y=\frac{2}{3} (12)+ 5\\y=8+5\\y=13[/tex]

So the order pair is (12, 13).

Now for the next one it's the same concept but this time we'll plug in for y because the -2 is in the (x, y) so we have to find the x...

[tex]5x-9(-2)=3\\5x+18=3\\5x=-15\\x=-3[/tex]

So the order pair is (-3, -2).

Step-by-step explanation:

Pen colors given  = Red and green

 Ratio;

         Green pen : Total pen

                4         :     11

Solution:

1. what fraction of heathers pens are green;

   Fraction = [tex]\frac{green pen}{total pen}[/tex]  = [tex]\frac{4}{11}[/tex]

2. Ratio of green pens to red pens:

     let the multiples = x

        Green pen   Red pen       Total pen

            4x                  ?                    11x

    Red pen  = 11x - 4x = 7x

Ratio of green pen to red pen:

            4 : 7

3. heather has 56 red pens. how many green pens does she have

   Number of red pen  = 56;

   Number of green pens = ?

     Since the ratio is;

          4 : 7

 Number of green pen = [tex]\frac{56 x 4}{7}[/tex]   = 32

Answer:

Step-by-step explanation:

espera y termino y te ayudo vale que me falta poco vale

Answer:

65

Step-by-step explanation:

180 - 115 = 65

This is the easiest way to think about and do it but your teacher might want you to do it a different way.

Answer:

65

Step-by-step explanation:

Answer:

Sometimes

Step-by-step explanation:

Answer:

2y- 16 = 7x + 21

Step-by-step explanation:

Y= mX+ c

y = (2/7)x + 11/7

m= gradient= 2/7

The perpendicular gradient should be the negative reciprocal of the gradient we have now.

which is : -1÷(2/7) = -7/2

Now for the perpendicular line equation, we have:

y - y1 = m ( x - x1 )

y - 8 = 7/2 ( x + 3 )

2y - 16 = 7x + 21

Answer:

1,132

Step-by-step explanation:

4,528÷4=1,132ooooo

Answer:

I believe it is 1 and 3 only. (I & III only)

Step-by-step explanation:

5(-1) = -5

-5 - 10 is less than -5, so I is true.

5(9) = 45

45-10 is not less than -5, so II is false.

5(1) =5

5-10 is equal to -5, so III is true.

Answer:

I. and III.

Step-by-step explanation:

5x - 10 ≤ -5

I. -1

5(-1) - 10 ≤ -5

-5 - 10 ≤ -5

-15 ≤ -5

-15 is less or equal to -5, thus I. is an option

II. 9

5(9) - 10 ≤ -5

45 - 10 ≤ -5

35 ≤ -5

35 is not less or equal to -5, thus II. is not an option

III. 1

5(1) - 10 ≤ -5

5 - 10 ≤ -5

-5 ≤ -5

-5 is less or equal to -5, thus III. is an option

Answer:

Step-by-step explanation:

Gfggg

Answer:

2 /20t+7

​  

Step-by-step explanation:

Answer:

.5

Step-by-step explanation:

Answer: There is 10,000 ug in 1 cg

when you multiply the x number in the table c by 0.3 you get the same answer as the one in the y column. The constant of proportionality  is the value that stays constant in the ratio. Since when you multiply each number in the x column by 0.3 and you always get the number in the y column it shows that the table c is correct.

Answer:

20

Step-by-step explanation:

20 - 3

Sarah is 3 years older so 23 is going to be subtracted.

Answer:

the answer is 1/6

i got it right edg 2020

Step-by-step explanation:

dont come at me because we had the same answer

Answer: 1/6

Step-by-step explanation:

Answer:

Step-by-step explanation:

LeBron James need to play to 1444 games to break Abdul-Jabbar's career record.

A rate of change is a rate that describes how one quantity changes in relation to other.

Given world record Kareem Abdul-Jabbar = 38,387 points.

Games played by LeBron = 280 games

Score of LeBron = 7446 points

Hence for each point LeBron has to play = 280/7446 games

Therefore to break the world record number of games required

                                       = (280*38,387)/7446

number of games required = 1443.5

or, number of games required = 1444

Hence,at this rate LeBron James need to play to 1444 games to break Abdul-Jabbar's career record.

More about Rate of change :

https://brainly.com/question/13715523

#SPJ2

Answer:

The answer is (2a²b)(6ab)=12a³b².

Answer:

C

Step-by-step explanation:

1 back, 3 up.

Answer:

9 to the 5th power

Step-by-

Answer:

n=5  I think...

Step-by-step explanation:

9^7/9^n = 9^2

Multiply by (n)

9^7-n = 9^2

7-n=2

7-n=2: n=5

-n=-5

Simplify:

n=5

Answer:

It can also be termed as "undefined".

Step-by-step explanation:

Hope that this post has helped you out in some way! :)

Answer:

The birth weight associated with the lowest 1% is 4.6 pounds.

Step-by-step explanation:

Let X represent the birth weights of babies.

It is provided that [tex]X\sim N(7.6,1.3^{2})[/tex]

It is also provided that many pre-mature births weights are in the lowest 1% of births.

Let x represent the births weights that are in the lowest 1% of births.

That is, P (X < x) = 0.01.

⇒ P (Z < z) = 0.01

The corresponding z-score is, z = -2.33.

Compute the value of x as follows:

[tex]z=\frac{s-\mu}{\sigma}\\\\-2.33=\frac{x-7.6}{1.3}\\\\x=7.6-(1.3\times 2.33)\\\\x=4.571\\\\x\approx 4.6[/tex]

Thus, the birth weight associated with the lowest 1% is 4.6 pounds.

Answer:

Dont ask me

Step-by-step explanation:

Okay!!!!!

Answer:

First one: y-intercept = 1

ordered pair: (0,1)

Second one: y-intercept = -1

ordered pair: (0,-1)

Third one: y-intercept = 4

ordered pair: (0,4)

Answer:

1. y=1, (0,1)

2. y=-1, (0,-1)

3. y=4, (0,4)

Step-by-step explanation:

The y-intercept is the line crossing the y-axis

(0, number here that cross y-axis)

1. y=1, (0,1)

2. y=-1, (0,-1)

3. y=4, (0,4)