Myra took a picture of the sky one afternoon when two jet airplanes appeared to draw a pair of parallel lines with their vapor trails. The vapor trails from two other jets flying from another direction crossed over the parallel trails. She printed her picture and labeled the angles and lines. Parallel lines c and d are cut by transversals a and b. All angles are described clockwise, from uppercase left. The intersection of lines c and b form angles: 2, 4, 3, 1. The intersection of lines d and b form angles: 6, 8, 7, 5. The intersection of lines c and a form angles: 10, 12, 11, 9. The intersection of lines a and d form angles: 14, 16, 15, 13. Assume lines c and d are parallel and Angle2 measures 98°. Which statements are true? Select three options. MAngle3 = mAngle6 = 98° mAngle3 = mAngle14 = 98° mAngle4 = mAngle8 = 82° mAngle4 = mAngle12 = 82° mAngle5 = mAngle8 = 82°.

Answer:

Option D is correct

Step-by-step explanation:

First, let's find side BC by using Pythagoras theorem.

Given:

=> 9² = 7.8² + x²

=> 81 = 60.84 + BC²

=> BC² = 20.16

=> √BC² = √20.16

=> BC = √20.16

=> BC = 4.48998886413 (Using calculator)

=> BC ≈ 4.49 (Estimated)

Therefore, side BC ≈ 4.49 units. Now, let's find the area by using hero's formula.

=> 1/2(Perimeter) = S

=> Perimeter: Hypotenuse + Side 1 + Side 2

=> 7.8 + 9 + 4.49

=> 21.29 = Perimeter

=> 1/2(21.29) = S

=> 10.645 = S

=> √s(s - a)(s - b)(s - c) = Area of triangle

=> √10.645(10.645 - 9)(10.645 - 4.49)(10.645 - 7.8)

=> √10.645(1.645)(6.155)(2.845)

=> √10.645 x 1.645 x 6.155 x 2.845

=> √306.635120999 (Using calculator)

=> √306.64 (Estimated)

=> 17.5111393119 (Using Calculator)

=> 17.51 units² (Estimated)

We can see that option D is the closest option. Therefore, Option D is correct.

If Option D was incorrect, then my second opinion is A.

If both are wrong, I deeply apologize for the inconvenience caused by me. Hoped this helped.

Answer:

answer is d) 18.6

Step-by-step explanation:

area = 1/2ab sin ∅

a= 9

b = 7.8

so it's

1/2 ×7.8 × 9 sin 32

use your calculator to get 18.600 unit squared

*we can also use the heroes formula*...

Answer:

22

Step-by-step explanation:

3(a+9)-5(a-5)=8

3a+27-5a+25=8

3a-5a+27+25=8

-2a+52=8

-2a=8-52

-2a=-44

a=-44/-2

a=+22

Answer:

12

Step-by-step explanation:

Answer:

(x+8, y+ -2)

Step-by-step explanation:

Actually, it would be (x+8,y-2) but the written part already has a + soo...

However, if you wish to complete problems like this in the future, pick one corner of the polygon and count how many places you mover right or left (x-axis. Right is going to be addition and left is going to be subtraction) and how many you move down or up (y-axis. up being addition and down being subtraction).

Answer:

X=5

Y=3

(5,3)

Step-by-step explanation:

Solve using substitution

ok I got you

it is 40

The statement that is true about the graph as it relates the unit rate is:

d. The unit rate is $22.50 per hour

Unit rate of a relationship between two variables, x and y, that are proportionally related can be found using k = y/x, where k is the unit rate.

Given that:

x = hours he worked

y = his total earnings

We are told that (4, 90) is a point on the graph.

Using the point, (4, 90), we can find the unit rate as shown below:

k = y/x = 90/4

k = 22.5

Therefore, the statement that is true about the graph as it relates the unit rate is:

d. The unit rate is $22.50 per hour

Learn more about the unit rate on:

https://brainly.com/question/11599895

Answer:

1

Step-by-step explanation:

The LCF of 6 and 12 is 1

Hope it helps

Step-by-step explanation:

can you me as brainliest if its right? i need 10000 points and 35 brainliest's to rank up to genius

Hey there!

3^15/ 3^3

3^15

= 3*3*3*3*3*3*3*3*3*3*3*3*3*3*3

= 9*9*9*9*9*9*9*3

= 81*81*81*27

= 6,561 * 2,187

= 14,348,907

= 14,348,907/3^3

3^3

= 3*3*3

= 9*3

= 27

14,348,907/27

= 531,441

15 - 3 = 12

= 3^12

Because

3^12

= 3*3*3*3*3*3*3*3*3*3*3*3

= 9*9*9*9*9*9

= 81*81*81

= 6,561*81

= 531,441

531,441 ≈ 3^12

Therefore, your answer should be: 3^12

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

10/3

Step-by-step explanation:

[tex] \bf \huge \: Question:[/tex]

Find the value of x

[tex]\bf \huge \: Equation \: provided:[/tex]

[tex]\sf \dfrac{2}{3} +5/6= 3\dfrac{1}{3} [/tex]

[tex]\bf \huge \: Solution:[/tex]

[tex] \bf \: Convert\: The\: mixed \: fraction \: to \: improper \: f raction:[/tex]

[tex]\sf \longmapsto \: \dfrac{2}{3} x + \dfrac{5}{6} = \dfrac{10}{3} [/tex]

[tex]\underline{\bf Subtract \: 5/6 \: from \: both \: sides : }[/tex]

[tex]\sf \longmapsto \dfrac{2}{3 }x + \dfrac{5}{6} - \red{ \dfrac{5}{6} } = \dfrac{10}{3} - \red{ \dfrac{5}{6} }[/tex]

[tex] \bf \: On \: Simplification:[/tex]

[tex]\sf \longmapsto \dfrac{2}{3} x + 0 = \dfrac{20 -5 }{ 6 } [/tex]

[tex]\sf \longmapsto \dfrac{2}{3} x = \dfrac{5}{2} [/tex]

[tex]\underline{ \bf \: Multiply \: both \: sides \: by \: 3/2:}[/tex]

[tex]\sf \longmapsto\red{ \dfrac{3}{2}} \times \dfrac{2}{3} x = \red{\dfrac{3}{2} } \times \dfrac{5}{2}[/tex]

[tex]\bf On \: Simplification:[/tex]

[tex]\sf \longmapsto1 \times \dfrac{15}{4} [/tex]

[tex]\sf \longmapsto \: \dfrac{15}{4} [/tex]

[tex]\underline{\bf Answer\: In \: mixed\: fraction:}[/tex]

[tex]\sf \longmapsto \: 3\dfrac{3}{4} [/tex]

______________________________________

[tex]\underline{ \bf \: Henceforth,The\: value\: of\: x \: is:}[/tex]

[tex] \boxed{\huge\boxed{ \tt x = 3\dfrac{3}{4} }}[/tex]

Answer:

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]

Step-by-step explanation:

[tex]f(x)=x^2-16[/tex]

To find the inverse of this function, temporarily the f(x) with a y (or whatever else you want) and then solve for the x.

[tex]y=x^2-16\\y+16=x^2\\x=\pm\sqrt{y+16}[/tex]

Now, you can swap the variables again and write the function.

[tex]f^{-1}(x)=\pm\sqrt{x+16}[/tex]

Answer:

Step-by-step explanation:

The answer would be 20/9

this would be because you need to convert it into an improper fraction due to it originally being 1 7/9 then you would divide 16/9 by 4/5 and simplify!

I hope this helped :)

Answer:

[tex]\frac{20}{9}[/tex]

Step-by-step explanation:

hope this helps have a great rest of your day

Answer:

A railway half ticket costs half the full fare, but the reservation charges are the same on a half ticket as on a full ticket. One reserved first class ...

Step-by-step explanation:

..right ya ???

Answer:

Step-by-step explanation:

[tex] {x}^{o} + {75}^{o} + {97}^{o} + {105}^{o} = {360}^{o} \\ {x}^{o} + {277}^{o} = {360}^{o} \\ {x}^{o} = {360}^{o} - {277}^{o} \\ {x}^{o} = {83}^{o} \\ [/tex]

Answer:

$17=x-$7

x=$24

Step-by-step explanation:

Carry the 7 to the other side

$17+$7=x

x=$24

Answer:

A. 4

General Formulas and Concepts:

Pre-Algebra

Evaluations

Order of Operations: BPEMDAS

Algebra I

Coordinate Planes

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points.

Point (0, 1)

Point (-1, -3)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Answer:

The answer is A. 4

Step-by-step explanation:

Identify points.

Point (0, 1)

Point (-1, -3)

Simply plug in the 2 coordinates into the slope formula to find slope m.

[tex]\displaystyle m = \frac{-3 - 1}{-1 - 0}m=−1−0−3−1[/tex]

[tex]\displaystyle m = \frac{-4}{-1}m=−1−4[/tex]

Answer:

about 159 people own their homes

(158.79)

Step-by-step explanation:

When you want to find the percentage of a number, multiply that number by the percentage's decimal

example: 20% of 300

20%=20/100=0.20

300×0.20=60

Your welcome!

if you can, please mark brainliest :)

Answer:

1.2 cups

Step-by-step explanation:

6 cups / 5 batches = 1.2 cups/batch

Answer:

C

Step-by-step explanation:

C

Answer:

2.50

Step-by-step explanation:

2.50 might be the answer

Answer:

  False

Step-by-step explanation:

Residuals are the measure of the error in the fit. The square of their sum gives no weight to the sign of the error, but gives greater weight to larger errors. The fit will be better when the error is smaller. In this scenario, Line B is a better fit.

The statement that Line A better fits the data is FALSE.

The best estimate for the total wallaby population is 1200.

Since to monitor the wallaby population, scientists catched 88 and tag them, already a month later, they captured 600 wallabies and noticed that 44 had tags, to determine what is the best estimate for the total wallaby population using ratios, the following calculation must be done:

Therefore, the best estimate for the total wallaby population is 1200.

Learn more about maths in https://brainly.com/question/18629331

Answer:

Add  7 to both sides of the equation [it would look like: 4b - 7 +7 = 13+7]

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

4x + 38 = 10x - 16

The sum of two opposite interior angles is equal to the opposite exterior angle.

4x + 38 = 10x - 16

38 = 10x -16 - 4x

38 = 6x - 16

38 + 16 = 6x

54 = 6x

Divide both sides by 6

x = 9

Answer:

1 2/7

Step-by-step explanation:

18 - 2x(4+3) =

combine like terms in the parentheses

18 - 2x(7) =

Multiply

18 - 14x  (This is the value of the expression)

We can solve for x by setting it equal to zero

18 - 14x = 0

-14x = -18

x = -18/-14

x = 1 2/7

Answer:

the constant term is: -20

quadratic term is: -5x^2

Step-by-step explanation:

Answer:

11

Step-by-step explanation:

The formula for area is l * w = a (length * width = area)

4 is our length, and 44 is the area, so the equation turns to this:

4 * x = 44

To solve for x, just divide 44 by 4.

44 / 4 = 11.

Now we enter that into our equation so it looks like this:

4 mm * 11 mm = 44 mm^2.

Hope this helped :)