Find the value of x y and m

Find The Value Of X Y And M
Find The Value Of X Y And M

Answers

Answer 1

Answer:

x = 33

y = 66

m<BGK = 71°

Step-by-step explanation:

✔️(2x + 5) + (3x + 10) = 180° (consecutive interior angles)

Solve for x

2x + 5 + 3x + 10 = 180

Add like terms

5x + 15 = 180

5x = 180 - 15 (subtraction property of equality)

5x = 165

Divide both sides by 5

x = 33

✔️(2x + 5) = (y + 5) (alternate interior angles are congruent)

Plug in the value of x

2(33) + 5 = y + 5

66 + 5 = y + 5

71 = y + 5

71 - 5 = y

66 = y

y = 66

✔️m<BGK = (y + 5) (vertical angles)

Plug in the value of y

m<BGK = (66 + 5)

m<BGK = 71°


Related Questions

Leeza’s aquarium holds 55 gallons of water. She is filling the tank and has already put in 22 gallons. Which inequality can determine out how many more gallons she might put in the tank?

Answers

Answer:

The inequality that will be used would be

x + 22 <= 55

if paul rode at a constant speed, how fast did he travel in miles per hour(please help me i will give brainliest i promise)​

Answers

Answer:

Raul traveled 31.25 miles an from 1:50 to 4:20. So, subtract those, you get 2:30. Turn 2:30 into a decimal (2.30) and now divide 31.25 by 2.30. the answer is 13.59 rounded That number turned into a Fraction is about 13 miles an hour.

Step-by-step explanation:

Answer: A

Step-by-step explanation:

the difference between the start time and end time is 2hrs and 30mins

So this means we have to multiply the number and add half of it.

12[tex]\frac{1}{2}[/tex] + 12[tex]\frac{1}{2}[/tex]+ 6[tex]\frac{1}{4}[/tex]= 31[tex]\frac{1}{4}[/tex]

(now can get a brainliest lol)

convert 60g : 5kg to simplest form

Answers

Answer:

I'm not sure but I think u should divide and get 12 kg I am so unsure so pls make sure if it's correct.

Answer:

1/12

Step-by-step explanation:

5/60 divide both sides by 5 is equal to 1/12

CAN SOMEONE PLEAASSSEE HELP ME WITH THIS TRIGONOMETRIC FUNCTION PROBLEM? I AM REALLY STRUGGLING AND IT WOULD MEAN A LOT

Answers

Answer:

the sine Is 5/13

Step-by-step explanation:

use the trigonometric identity : sin^2+ cos^2 = 1

so the sine Is sqrt(1-(12/13)^2) = 5/13

sqrt means Square root btw

Please solve for y in this equation!
0.5y -2 2/5 = 1/2y +2.4

Answers

Answer:

No solution

Step-by-step explanation:

Move all the variables to one side and all the numbers to the other side.

0.5y-2*2/5=1/2y+2.4

-2*2/5=1/2y+2.4-0.5y

-2*2/5-2.4=0

thus there is no solution

i am a parent and needhelp with this 11 + 3(9 − 6) − 4

Answers

Answer:

i'm sure its 16

Step-by-step explanation:

In 1989 the population of Arizona was 3,622,184. In 1999 the population was 4,778,332. What is the percent of change from 1989 to 1999?

Answers

Answer- 31.9%

3,622,184 =100%
4,778,332= x
Criss cross
477,833,200= 3,622,184x
Divide to get x alone
X= 131.9
131.9 - 100= 31.9%
Because it asks for the change

Write a word description of the set.
{10, 11, 12, 13, ...}

Answers

this set of numbers counting by ones or the addition of one each time
It would be the addition of one.

Which expression is equivalent?

Answers

Answer:

y⁸/x¹⁰

[tex] \\ [/tex]

Step-by-step explanation:

[tex] \sf{\large{( \frac{ {x}^{ - 4}y }{ {x}^{ - 9} {y}^{5} } ) ^{2} }}[/tex]

[tex] \large{ \sf{= \frac{ {x}^{ - 4 \times 2} {y}^{2} }{ {x}^{ - 9 \times 2} {y}^{5 \times 2} } }}[/tex]

[tex] \large{ \sf{= \frac{ {x}^{ - 8} {y}^{2} }{ {x}^{ - 18} {y}^{10} } }}[/tex]

[tex] \large{ \sf{ = {x}^{ - 8 - ( - 18)} {y}^{2 - 10} }}[/tex]

[tex] \large{ \sf{ = {x}^{ - 8 + 18} {y}^{ - 8} }}[/tex]

[tex] \large{ \sf{ = {x}^{10} {y}^{ - 8} }}[/tex]

[tex] \large{ \sf{ = \frac{ {x}^{10} }{ {y}^{8} } }} [/tex]

[tex] \large{ \sf{ = \frac{ {y}^{8} }{ {x}^{10} } }}[/tex]

IS THIS A FUNCTION ? YES OR NO ????

ILL GIVE 40 POINTS DONT LIE !!

Answers

Answer:

no it is not a function. .

Answer:

Step-by-step explanation:

No, it does not pass the  vertical line test

Solve (y–3)2 – 32 = 0, where y is a real number.
Simplify your answer as much as possible.
If there is more than one solution, separate them with commas.
If there is no solution, click "No solution."
y = 0
Х

Answers

Answer:

[tex] \sqrt{32} + 3[/tex]

[tex] - \sqrt{32} + 3[/tex]

Step-by-step explanation:

Use foil method

[tex](y - 3) {}^{2} [/tex]

[tex](y - 3)( y - 3)[/tex]

First multiply y and y

[tex]y \times y = {y}^{2} [/tex]

Next Multiply Outer term y and -3.

[tex]y \times - 3 = - 3y[/tex]

After that ), Multily inner tern -3 and y

[tex] - 3 \times y = - 3y[/tex]

Finally multiply -3 and -3 and you get 9.

Then combine all

[tex] {y}^{2} - 6y + 9 - 32 [/tex]

[tex] {y}^{2} - 6y - 23[/tex]

Now I'm going to complete the square. First get only the y value on the left side so we first set this equal to zero then move add 23 on both sides.

[tex] {y}^{2} - 6y - 23 = 0[/tex]

Add 23

[tex]y {}^{2} - 6y = 23[/tex]

Apply formula

[tex] (\frac{b}{2} ) {}^{2} [/tex]

where b is the coefficient.

plug it in

[tex]( \frac{ - 6}{2}) {}^{2} [/tex]

Which is -3 squared which equal 9.

Then add 9 on both sides

[tex] {y}^{2} - 6y + 9 = 23 + 9[/tex]

23+9=32

Now let factor the left side

the only number that adds to -6 and multiply to 9 is

-3 so we would rewrite the left side as

[tex](x - 3) {}^{2} = 32[/tex]

Now take the sqr root of 32

[tex] \sqrt{(x - 3) {}^{2} } = \sqrt{32} [/tex]

Then add 3 on both sides

[tex]x + - 3 + 3 = \sqrt{32} + 3[/tex]

A sqr root of a number can be positive or negative so

the answer is

[tex] - \sqrt{32} + 3[/tex]

[tex] \sqrt{32} + 3[/tex]

Given that IG FT which of the following statements is true

Answers

Answer:

C

Step-by-step explanation:

The polynomial 4x2 - 16 is a difference of squares.

True

False

Answers

pretty sure it’s true

Find the length of line AC. Use that length to find the length of line CD. What is the length of line CD? Round to the nearest tenth.
a. 2.3 cm
b. 4.0 cm
c. 10.7 cm
d. 18.6 cm

Answers

Is it either C or D not 100% but it is one of those hope this helped

Answer:

C on edge 2021

Step-by-step explanation:

Michaela buys 2 cartons of eggs at $1.58 a carton, 4 pounds of ground turkey at $6.99 a pound, and a jar of
strawberry jam for $4.38. She gives the cashier four $10 bills.

Answers

Answer:

your answer is 4.50. the total of cartons eggs is 3.16+ the total of turkey 27.96+ the jar 4.38= 35.50 now we can do the math 40-35.50= 4.50. I hope it helps!

Step-by-step explanation:

it is

4.50

why os ot because 9 did the math

Simplify the expression please with step
[tex] \sqrt{13 - 4 \sqrt{3} } [/tex]

Answers

Answer:

[tex] \huge \boxed{ \boxed{ \red{2 \sqrt{3} - 1}}}[/tex]

Step-by-step explanation:

to understand thisyou need to know about:redicalsimplifying redicalPEMDASgiven:[tex]\tt \sqrt{13-4\sqrt{3}}[/tex]to do:

simplificationtips and formulas:(a-b)²=a²-2ab+b²√(a)²<=>|a|let's do:

[tex]step - 1 : define [/tex]

[tex] \tt \sqrt{13 - 4 \sqrt{3} } [/tex]

[tex]step - 2 : simplify[/tex]

[tex] \tt use \: the \: 1 \: formula : \\ \tt \sqrt{ 1 + 12 - 4 \sqrt{3} } \\ \tt \sqrt{1 - 4 \sqrt{3} + 12} \\ \tt \sqrt{ {(1)}^{2} - 2.1.2 \sqrt{3} + {(2 \sqrt{3}) }^{2} } \\ \sqrt{ \tt (1 - 2\sqrt{3} {)}^{2} } [/tex][tex] \tt use \: the \: 2 \: formula : \\ \tt |1 - 2\sqrt{3} | \\ \tt - (1 - 2 \sqrt{3} ) \\ - 1 + 2 \sqrt{3} \\ 2 \sqrt{3} - 1[/tex]

A wedding at Boone Hall Plantation costs $22,200 for 120 people. How much does Boone Hall charge per guest?​

Answers

Answer:

$185 per person

Step-by-step explanation:

22,200/120=185

A carpet salesman sold 5,000 yards of carpet in one month at an average of $3 per yard. His commission was 16%. How much money did he make that month?

Answers

Answer:

5000x3.00= total sales  15000 x 16% or.16

= 2400

Step-by-step explanation:

1.Find Gross Sales

2. Get retail sales  3.00 x 5000

3. Total Sales times commission  15000 x .16

find the slope of the line that passes through (1, 2) and (10, 6). mplify your answer and write it as a proper fraction, improper fraction, or integer.​

Answers

y2-y1/x2-x1 then plug in numbers so 6-2/10-1 which gives 4/9

c. (4 points) The p-value for this study is 0.0002. Provide an interpretation of this p-value
("the p-value is the probability that...)

Answers

Answer: yes

Step-by-step explanation:

What additional information must be known to prove the triangles similar to SAS?

Answers

Answer:

Option A) is the right answer because for SAS property we need to verify that the sides are equal to each other in the triangles.

Find the missing length for #11. Please help!

Answers

Answer:

x=16

Step-by-step explanation:

so you know that the other side of the right traingle is 15

so x2+18x+81=225+144+x2

18x=288

x=16

Use the triangle below to find cos V.

Answers

Answer:

[tex]cos\ V = \frac{2\sqrt{29}}{29}[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find cos V

In trigonometry:

[tex]cos\theta = \frac{Adjacent}{Hypotenuse}[/tex]

In this case:

[tex]cos V= \frac{TV}{UV}[/tex]

Where

[tex]TV = 6[/tex]

and

[tex]UV^2 = TV^2 + TU^2[/tex] -- Pythagoras

[tex]UV^2 = 6^2 + 15^2[/tex]

[tex]UV^2 = 261[/tex]

Take square roots

[tex]UV = \sqrt{261[/tex]

[tex]UV = \sqrt{9*29[/tex]

[tex]UV = \sqrt{9} *\sqrt{29[/tex]

[tex]UV = 3\sqrt{29[/tex]

So:

[tex]cos V= \frac{TV}{UV}[/tex]

[tex]cos\ V = \frac{6}{3\sqrt{29}}[/tex]

[tex]cos\ V = \frac{2}{\sqrt{29}}[/tex]

Rationalize:

[tex]cos\ V = \frac{2}{\sqrt{29}}*\frac{\sqrt{29}}{\sqrt{29}}[/tex]

[tex]cos\ V = \frac{2\sqrt{29}}{29}[/tex]

What is the ratio in which the point P(3/4,5/12) decides the line segment joining points A(1/2,3/2) and B(2,-5)

Answers

Given:

The point [tex]P\left(\dfrac{3}{4},\dfrac{5}{12}\right)[/tex] divides the line segment joining points [tex]A\left(\dfrac{1}{2},\dfrac{3}{2}\right)[/tex] and [tex]B(2,-5)[/tex].

To find:

The ratio in which he point P divides the segment AB.

Solution:

Section formula: If a point divides a segment in m:n, then the coordinates of that point are,

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Let point P divides the segment AB in m:n. Then by using the section formula, we get

[tex]\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{m(2)+n(\dfrac{1}{2})}{m+n},\dfrac{m(-5)+n(\dfrac{3}{2})}{m+n}\right)[/tex]

[tex]\left(\dfrac{3}{4},\dfrac{5}{12}\right)=\left(\dfrac{2m+\dfrac{n}{2}}{m+n},\dfrac{-5m+\dfrac{3n}{2}}{m+n}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{3}{4}=\dfrac{2m+\dfrac{n}{2}}{m+n}[/tex]

[tex]\dfrac{3}{4}(m+n)=\dfrac{4m+n}{2}[/tex]

Multiply both sides by 4.

[tex]3(m+n)=2(4m+n)[/tex]

[tex]3m+3n=8m+2n[/tex]

[tex]3n-2n=8m-3m[/tex]

[tex]n=5m[/tex]

It can be written as

[tex]\dfrac{1}{5}=\dfrac{m}{n}[/tex]

[tex]1:5=m:n[/tex]

Therefore, the point P divides the line segment AB in 1:5.

Find the measure of the indicated angel.

A) 30 degrees
B) 35 degrees
C) 25 degrees
D) 40 degrees

Answers

Answer:

D

Step-by-step explanation:

44+32=76

180-76=104

104+36=140

180-140=40

D)40

Lines a and b are parallel.

What is the measure of angle s?

Enter your answer in the box

S=


Answers

Answer:

22 degrees

Step-by-step explanation:

The angle that measures 158 degrees and angle u are supplementary angles, meaning they add up to 180 degrees.

Angle s and angle u are corresponding angles, meaning that they are congruent.

This means that the angle that measures 158 degrees and angle s are supplementary as well. Knowing this, we can construct the following equation:

[tex]180=158+s[/tex]

Subtract both sides by 158

[tex]180-158=158+s-158\\22=s[/tex]

Therefore, angle s has a measure of 22 degrees.

I hope this helps!

Find the area:
HELP PLEASE

Answers

Answer:

Area = 30.3 ft²

Step-by-step explanation:

Area = area of a semicircle + area of a rectangle

= (½*πr²) + L*W

Where,

radius (r) = ½ of 4 = 2 ft

Length (L) = 6 ft

Width (W) = 4 ft

Plug in the values

Area = (½*π*2²) + (6*4)

Area = 30.3 ft² (nearest tenth)

someone help me lol..

Answers

Answer:

1/3x + 3 is the correct answer, hope it help

HELP PLESE WILL GIVE BRAINLIST

Answers

Answer:

shed height = 12 feet

shed width = 28 feet

Step-by-step explanation:

3/4"=3'   then 1"=4'

3" tall=4x3"=12'

7" wide=4x7"= 28'

Find the coordinates of the point that is located 8 units below the x-axis and 3 units to the left of the y-axis

Answers

-8,-3 if i read that correctly, that should be the answer.
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