if L is parallel to M, find the value of each variable(s)

If L Is Parallel To M, Find The Value Of Each Variable(s)

Answers

Answer 1

Answer:

see below

Step-by-step explanation:

5.  9x + 2 = 119°                    alternate interior angles are congruent

          9x = 117

           x = 13°

6.  12x - 8 + 104° = 180°       same side interior angles are supplementary

            12x + 96 = 180

                     12x = 84

                        x = 7°

7.  5x + 7 = 8x - 71                alternate exterior angles are congruent

         -3x = -78

            x = 26°

8.  4x - 7 = 7x - 61                corresponding angles are congruent

        -3x = -54

          x = 18°

9.  9x + 25 = 13x - 19          corresponding angles are congruent

            -4x = -44

               x = 11°

    13x - 19 + 17y + 5 = 180°        straight line adds up to 180°

    13(11) - 19 + 17y + 5 = 180

       143 - 19 + 17y + 5 = 180

                    17y + 129 = 180

                              17y = 51

                                  y = 3°

10.  6x - 7 + 3x - 29 = 180°     same side interior angles are supplementary

                   9x - 36 = 180

                           9x = 216

                             x = 24°

     6x - 7 = 8y + 17                   vertical angles are congruent

      6(24) - 7 = 8y + 17

         144 - 7 = 8y + 17

               137 = 8y + 17

               120 = 8y

                  y = 15°

11.  49 + 3x = 7x - 23                corresponding angles are congruent

            -4x = -72

               x = 18°

 

      3x = 11y - 1                         corresponding angles are congruent

      3(18) = 11y - 1      

          54 = 11y - 1

          55 = 11y

            y = 5°

12.  5x - 38 = 3x - 4                alternate interior angles are congruent

             2x = 34

               x = 17°

 

      7y - 20 + 5x - 38 + 90 = 180°        sum of triangle interior angle equals 180

      7y - 20 + 5(17) - 38 + 90 = 180°      

      7y - 20 + 85 - 38 + 90 = 180°    

                              7y + 117 = 180

                                      7y = 63

                                       y = 9°


Related Questions

if a 11 inch wheel cost $21.35 what is the cost per square inch

Answers

Answer:

$1.94 per square inch

What is the measure of AC?

Answers

Answer:

A or B

Step-by-step explanation:

anyone who knows please help!!!!

i tried to solve this on my own but it's not happening rip

Answers

Answer:

13.5

Step-by-step explanation:

the answer is 13.5, because you do the proportionate equations of 6/4 = x/9, and then you cross multiply to get 4x=54, and then you isolate x, so the answer is 13.5

Since it’s isosceles FE and ED are both equal to 6 so you do

FD^2=FE^2+ED^2
=6^2+6^2
=72
FD=6roots2

Mark is 8 inches shorter than two times the height of his little brother bryan. If mark is 52 inches tall , how tall is bryan?

Answers

Answer:

60 inches

Step-by-step explanation:

Mark: 52 inches

Bryan: x Inches

X: 52 + 8

52 + 8 = 60

x= 60

Bryan: 60 inches

because mark is 8 inches shorter so bryan is 8 inches taller.

y=10x+6, what is the y intercept?

Answers

Answer:

6

Step-by-step explanation:

I hope this helps :)

6

Because

y = 10x + 6
y = 10(0) + 6
y = 0 + 6
y = 6

Hopefully, I helped you!!!

I’ll mark brainlist whoever gives the right answer!

Answers

Answer:

y=-2/3x+2/3 i think... :)

Step-by-step explanation:

y=mx+b

-4=-2/3(-7)+b

-4=14/3+b

b=2/3

y=-2/3x+2/3

-= 20 Points For this Question! =-

First Question: Find an equation of the line with slope 3 that contains the point (-7, 11).

Second Question: Find an equation of the line with slope 3/5 that contains the point (10, -6).

Answers

Okay i’m pretty sure the first one is y=3x-10 and the second one is y=3/5x+0

What is an
equation of the line that passes through the points (6,8) and (-3, 2)?

Answers

Find slope
(2-8)/(-3-6) = -6/-9 = 2/3
Y = 2/3x + b
8 = 2/3(6) + b, b = 4
Solution: y = 2/3x + 4

Los animales ______ al río. (2 points)
A eran B estudiaban C tomaban D iban

Answers

the answer is D :)!!
I really don’t know what that’s says but I will just with the person who did it first

Compare and contrast linear and non linear scatter plots

Answers

Answer:

non-linear plots are when the dots are far away from the other dots and linear is when all the dots are together

Write an equation in point-slope form of the line that passes through the point (3,-8) and has a slope of 7. PLZ help meh!!

Answers

Answer:

y-(-8) = 7(x-3) or

y+8 = 7(x-3)

Figure PQRS is a parallelogram.

Parallelogram P Q R S is shown. Angle Q is (x + 15) degrees and angle R is (6 x minus 10) degrees.

What are the measures of angles P and S?

∠P = 20°; ∠S = 160°
∠P = 40°; ∠S = 140°
∠P = 140°; ∠S = 40°
∠P = 160°; ∠S = 20°

Answers

∠P = 40°; ∠S = 140° answer

Step-by-step explanation:

The measures of angles of the parallelogram are ∠P = 140°; ∠S = 40°

What is a Parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides. The opposite or facing sides of a parallelogram are of equal length and the opposite angles of a parallelogram are of equal measure

The four types are parallelograms, squares, rectangles, and rhombuses

Properties of Parallelogram

Opposite sides are parallel

Opposite sides are congruent

Opposite angles are congruent.

Same-Side interior angles (consecutive angles) are supplementary

Each diagonal of a parallelogram separates it into two congruent triangles

The diagonals of a parallelogram bisect each other

Given data ,

Let the parallelogram be represented as PQRS

Now , the measures of angles of parallelogram are

The measure of m∠Q = ( x + 15 )°

The measure of m∠P = ( 6x - 10 )°

where ∠Q and ∠R are supplementary to each other

For a parallelogram , same-side interior angles (consecutive angles) are supplementary

On simplifying , we get

m∠Q + m∠P = 180°

( x + 15 ) + ( 6x - 10 ) = 180

7x + 5 = 180

Subtracting 5 on both sides , we get

7x = 175

Divide by 7 on both sides , we get

x = 25

And , the measure of ∠Q = 40° = measure of ∠S

The measure of ∠R = 140° = measure of ∠P

Hence , the measures of angles of parallelogram are solved

To learn more about parallelogram click :

https://brainly.com/question/23488153

#SPJ7

what is the value of y?
9y=28–5y

Answers

Answer:

y=2

Step-by-step explanation:

add the -5y over and you get 14y=28

then divide by 14 on both sides and you get y=2

Answer:
y = 2

Explanation:
9 (x 2) = 28 - 5 (x2)

A principal of ​$6000 is invested in an account paying an annual rate of 5​%. Find the amount in the account after 4 years if the account is compounded​ semiannually, quarterly, and monthly. ​(a) The amount in the account after 4 years if the account is compounded semiannually is ​$ nothing. ​(Round to the nearest​ cent.)

Answers

Solution :

Given :

Principal amount deposited, P = $ 6000

Rate of interest, r = 5%

Number of years, t = 4 years

When the deposited amount is compounded semiannually, i.e. n = 2

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{2}\right)^{2 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.025)^8$[/tex]

       = 6000 x 1.2184

        = 7310.4

Therefore, after 4 years there will be $ 7310.4 in the amount when compounded semi annually.

When the deposited amount is compounded quarterly, i.e. n = 4

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{4}\right)^{4 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.0125)^{16}$[/tex]

       = 6000 x 1.219889

        = 7319.334

Therefore, after 4 years there will be $ 7319.334 in the amount when compounded quarterly.

When the deposited amount is compounded monthly, i.e. n = 12

Therefore,

Future value,

[tex]$FV = P\left( 1 +\frac{r}{n}\right)^{nt}$[/tex]

[tex]$FV = 6000\left( 1 +\frac{0.05}{12}\right)^{12 \times 4}$[/tex]

[tex]$FV = 6000 \times (1.0041667)^{48}$[/tex]

       = 6000 x 1.22089

        = 7325.34

Therefore, after 4 years there will be $ 7325.34 in the amount when compounded monthly.

tell me your opinions on the following image

Answers

Answer:

gorgeous

Step-by-step explanation:

Answer:

i am disturbed.

Step-by-step explanation:

this image is disturbing to me, because he is staring at you in your sleep too

Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!!

Answers

Answer:

√39

Step-by-step explanation:

use the Pythagorean Th because the triangle is right

8² = 5² + x²

8²-5² = x²

√64-25 = x

√39 =x

please help me answer this i will give brainliest and 5 star rating!!

Answers

Answer:

x = 77 ft

Step-by-step explanation:

55 ÷ 45 = 1.222222222

1.222222222 x 63 = 77

Answer:

63+45 divided by 12 + 55 times 12 + 95 (is what i think is the approximate length of the shadow)

Step-by-step explanation:

then after you do all this round it to the nearest foot

3 (x - 3) + x (r + 4)

Answers

Answer:

Step-by-step explanation:

3(x-3)+x(r+4)

3x-9+xr+4x

7x+9+xr

simplify [tex]\sqrt{80} + \sqrt{2\frac{2}{9}[/tex]

Answers

Answer:

[tex]\displaystyle \frac{14}{3}\sqrt{5}[/tex]

Step-by-step explanation:

Simplify:

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}[/tex]

We must express the mixed fraction into an improper fraction:

[tex]2\frac{2}{9}=2+\frac{2}{9}=\frac{20}{9}[/tex]

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{80} + \sqrt{\frac{20}{9}}[/tex]

Since 80 = 16*5 and 20=4*5

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \sqrt{16*5} + \sqrt{\frac{4*5}{9}}[/tex]

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle 4\sqrt{5} + \frac{2}{3}\sqrt{5}[/tex]

Adding the fractions:

[tex]\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle (4 + \frac{2}{3})\sqrt{5}[/tex]

[tex]\mathbf{\displaystyle \sqrt{80} + \sqrt{2\frac{2}{9}}=\displaystyle \frac{14}{3}\sqrt{5}}[/tex]

m24 = 115°
mZ1 = (2x)
m22 = (x + 28)

Answers

Answer:

n the figure, m 3 = 75 and mZ10 = 115. ... CY 337] . 2x +13269. 2x =50. X=28. Find mZ1 in each figure. Exoor. 10. تا ... m24 = 75 24 and 22 are vertical angles.

Missing: m22 = ‎| Must include: m22 =

Step-by-step explanation:

how do you solve
3^3 ÷ 9^1

Answers

Answer:

pemdas

Step-by-step explanation:

3^3 = 27 (3*3*3)

9^1 =9 (9)

27/9= 3

the answer for this problem will be 9 for the answer

Write an equation in​ slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation. (-3,-4); y=-3x+4

Answers

Answer:

y=-3x-13

Step-by-step explanation:

Plug in the -2 and -4 for the y and x. The slope is the same

1) -4 = -3 (-3)+b

2) -4=9+b

3) -4-9=b

4) -13=b

The equation is y=-3x-13

The answer is y=-3x-13, because y=mx+b and since it’s parallel the slope is -3 and substituting x=-3 and y=-4 and m=-3 into the equation, we get b=-13. So the answer is y=-3x-13

Sarah bought a television that cost $805.She plans to make equal payments of $38 each month until the television is paid in full. About how many payments will Sarah make

Answers

Answer:

Step-by-step explanation:

805/38= 21 7/38

So that is 21 full payments of $38.00 and one of $7.00

whats the missing number?

Answers

Answer: -0

The absolute value of any number is positive so you can say the absolute value of -0 is 0 and it’ll be true. You can also say the absolute value of 0 is 0.

Write the following expression in word form: 4,568.050

Answers

Answer:

four thousand five hundred and sixty eight and fifty hundredths

Step-by-step explanation:

Answer:

four thousand five hundred sixty -eight, and fifty Hundredths

Step-by-step explanation:


The graph of relation v is shown. Which of the following graphs represents the relation and its inverse?

Answers

Step-by-step explanation:

The relation and its inverse (if it exists) must be symmetrical about the line y = x.

Hence the answer is the 2nd from the top.

Answer:

Second option

Step-by-step explanation:

1. what is 0.7 of 42
2. what is 0.3 of 14

Answers

Answer:1) 29.4

2)4.2

Step-by-step explanation:

0.7×42=29.4

0.3×14=4.2

90 Points someone please help me !!!!!!!

Answers

Answer:

e4 squared

Step-by-step explanation:

A laptop has a listed price of 623.95 before tax. If the sales tax rate is 9.25%, find the total cost of the laptop with sales tax included.
Round your answer to the nearest cent, as necessary.

Answers

ANSWER.

$1,500.00 net price / sales tax 6.25 / $1,593.75 total price

Step-by-step explanation:

hope it helps

What is the value of -3+(-4+7)(2)?
O-28
O-3
O3
O 15

Answers

Answer:

Step-by-step explanation:

Option C 3 is the correct answer

Answer:

3

Step-by-step explanation:

1. Simplify -4 + 7 to 3.

-3 + 3 × 2

2.  Simplify 3 × 2 to 6.

−3 + 6

3. Simplify.

3

Other Questions
Given side lengths 4 units, 8 units, and x units, determine the range in which x must lie in order for a triangle to exist.A)X > 12B)0C)-4D)4 What does a useful scientific explanation include ?? Choose the phrase that best describes the picture.A. tirar la pelotaB. actuar en una obraC. correr en el campoD. jugar ajedrez A rock sitting on the surface of the Earth is pushed down deep into the Earth over time and is exposed to tremendous heat and pressure over time. Although the rock does not melt, it does change into a new type of rock. How would the new rock be classified? Igneous Igneous Magma Magma Metamorphic Metamorphic Sedimentary Just do q1-4 and hurry...... hes coming for me! A sphere and a cylinder have the same radius and height. The volume of the cylinder is 11 ft.hlWhich equation gives the volume of the sphere?V-011)2 Mary works for a small computer software company. Her boss is constantly improving the company's products but neglects customers, billing, and promoting the company. Her boss is probably stuck in the Is the relation a function? During 2020, LAL Corp. had the following cash flows: (1) received cash of $5,000 billed to a customer in 2020; (2) earned $20,000 of net income; (3) paid interest of $6,000 on a corporate bond issue; (4) paid dividends of $8,000 to its stockholders; (5) borrowed $50,000 from a local bank; and (6) purchased its own shares of common stock for $15,000. What is LAL's net cash flows from financing activities for 2020 Write the equation:Jerry has a new job and earns a salary of $45, 000. Victoria has anew job and earns a salary of $54,000. Jerry will receive a salaryincrease of $2,500 per year and Victoria will receive a salary increaseof $1,500 per year. 4,000000000010,00000000 Which sentence would most likely be found in a cause-and-effect text?O The US quarter is a popular coin that comes in many varieties.O By saving money over time, kids can afford big purchases.O Coin collecting is a popular hobby for people of all ages.O The Lincoln penny was the first example of a presidential coin. For a recent evening at a small, old-fashioned movie theater, 35% of the moviegoers were female and 65% were male. There were two movies playing that evening. One was a romantic comedy, and the other was a World War II film. As might be expected, among the females the romantic comedy was more popular than the war film: 70% of the females attended the romantic comedy. Among the male moviegoers, the romantic comedy also was more popular: 60% of the males attended the romantic comedy. No moviegoer attended both movies. Let F denote the event that a randomly chosen moviegoer (at the small theater that evening) was female and F denote the event that a randomly chosen moviegoer was male. Let R denote the event that a randomly chosen moviegoer attended the romantic comedy and R denote the event that a randomly chosen moviegoer attended the war film. Fill in the probabilities below, and then answer the question that follows. Do not round any of your responsesP(F)=0.35P(F and R)=P(F and R)=P(R|F)=P(R|F)=0.60P(F and R)=P(F and R)=P(F)=What is the probability that a randomly chosen moviegoer attended the romantic comedy? Determine if the graph is a function or not. The accompanying table shows the number of cars of two different brands sold at a dealership during a certain month. The number of coupes and sedans is also shown.Vehicle Brand 1 Brand 2 TotalCoupe100240340Sedan20085285Total300325625If one of these vehicles is selected at random, determine the probability that it was a coupe, given that the vehicle selected was Brand 1.The probability that a vehicle was a coupe, given that it was Brand 1.is(Round to four decimal places as needed.) write an expression equivalent to 9X +14 This part of a letter is called theRead part of a letterI believe our school should promote Earth Dayactivities. We could encourage efforts to walk to school,and we could dedicate the afternoon to tending ourschool grounds.heading.Osalutation.Obody..O closing A mixture of ethanol and methanol are separated by fractional distillation. This method of separation depends on a difference in property X of these two alcohols. What is property X? EXPLAIN What is one way that the thermal energy of a system can be changed? 90 + 150 is what a 140b 240c 350d150