MNPQ is a rectangle. Find the measure of <1 and <2

MNPQ Is A Rectangle. Find The Measure Of &lt;1 And &lt;2

Answers

Answer 1

Answer: ∠1 = 48°, ∠2 = 42°

Step-by-step explanation:

Because it's a rectangle, NP and MQ are parallel lines. ∠2 and (3x)° are alternate interior angles and are therefore equal. NM and PQ are also parallel lines. ∠1 is equal to (2x + 20)° because they're also alternate interior angles.

∠M = 90° = ∠1 + (3x)° = (2x + 20)° + (3x)°

2x + 20 + 3x = 90

2x + 3x = 90 - 20

5x = 70

x = 14

Because ∠1 = (2x + 20)°,

∠1 = 2x + 20 = 2(14) + 20 = 28 + 20 = 48°

Because ∠2 = (3x)°,

∠2 = 3x = 3(14) = 42°

(I hope this is right :\)


Related Questions

f equals to 2 f - 20​

Answers

Answer:

20

Step-by-step explanation:

f = 2f - 20

f - 2f = - 20

- f = - 20

f = 20

HELP! how do I find the degrees for this problem

Answers

Answer:

90°

Step-by-step explanation:

m∠x+m∠y+m∠z=180°

m∠x+m∠y+90=180

m∠x+m∠y=180-90=90°

PLEASE HELP!!! WILL GIVE BRAINLIEST!!!

Answers

Answer:

Step-by-step explanation:

Marco is incorrect because a function is a relation for which each input has a different output. An example of a function is y=2x each input x has a different output y.

find the value of x and HI. H and J are the endpoints​

Answers

Answer:

x = 6

HI = 29

Step-by-step explanation:

✔️HI = ½(AB) => Triangle Mid-segment Theorem

HI = 5x - 1

AB = 58

Plug in the values and solve for x

5x - 1 = ½(58)

5x - 1 = 29

Add 1 to both sides

5x - 1 + 1 = 29 + 1

5x = 30

Divide both sides by 5

5x/5 = 30/5

x = 6

✔️HI = 5x - 1

Plug in the value of x

HI = 5(6) - 1

HI = 30 - 1

HI = 29

Can someone help with this problem

Answers

35+25=60
y=60


If you add the opposite side values of the triangle (not the one touching the y), you get the value of y). 35+25=y
This works because y+x= 180 and the three angles of a triangle add to 180.

Step-by-step explanation:

x+35+25=180

x+60 =180

x = 120.

y+x =18

Just need 1 answered

Answers

the answer would be ( -7/2 , 7/2 )

to move a function, you need to___it.

Answers

Answer:

shift

Step-by-step explanation:

shift

Instructions: Problem 2 ! Find the missing angle in the image below. Do not include spaces in your answers

Answers

Step-by-step explanation:

since angles in a triangle add up to 180

<vuw=180-(71+23)

=86°

since angles in a straight line add up to 180

<vuf=180-86

=94

Find DE. A.4 B.5/3 C.7 D.11

Answers

Answer:

DE = 11

Step-by-step explanation:

DE = x + 7

EF = 7

DF = 4x + 2

DF = DE + EF (segment addition postulate)

Substitute

4x + 2 = x + 7 + 7

4x + 2 = x + 14

Collect like terms

4x - x = -2 + 14

3x = 12

Divide both sides by 3

x = 12/3

x = 4

✔️DE = x + 7

Plug in the value of x

DE = 4 + 7

DE = 11

280L of water consumed my 7 people. water consumed by 50 people =___L

Answers

Step-by-step explanation:

7 people = 280 liters

1 p = 40 liters

50 p = 40 x 50

50 p = 2000 liters

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

The perimeter of a rectangular swimming pool is 154 meters. Its length is 2m more than twice its breadth. What are the length and the breadth of the pool?​

Answers

Step-by-step explanation:

Hey there!

According to the question;

Perimeter of rectangle (p) = 154 m

Let the breadth of rectangle be "X" then length will be 2x+2.

Then;

Perimeter (p) = 2(l+b)

154 = 2((2x+2) + x)

154 = 2(3x+2)

154 = 6x + 4

or, 6x = 154-4

or, X = 150/6

Therefore, X= 25.

Hence;

Length = 2*25+2 = 52 m

Breadth = 25 m

Hope it helps!

We can assume,

Perimeter of rectangle = 154 m

Breadth = x

Length = 2x + 2

Now, perimeter = 2(l+b)

[tex] \sf \to 154= 2((2x+2) + x)[/tex]

[tex] \sf \to 154 = 2(3x+2)[/tex]

[tex] \sf \to 6x = 154-4[/tex]

[tex] \sf \to x = \frac{150}{6} = 25[/tex]

Then,

Breadth = 25 m

Length [tex] \sf = 2x + 2[/tex]

[tex] \sf \to (2 \times 25) + 2[/tex]

[tex] \sf \to 52 \: m[/tex]

Which set of ordered pairs does not represent a function? \{(5, -9), (6, -6), (-3, 8), (9, -6)\}{(5,−9),(6,−6),(−3,8),(9,−6)} \{(-6, -4), (4, -8), (-6, 9), (1, -3)\}{(−6,−4),(4,−8),(−6,9),(1,−3)} \{(1, -1), (-5, 7), (4, -9), (-9, 7)\}{(1,−1),(−5,7),(4,−9),(−9,7)} \{(8, -9), (-3, -6), (-4, 4), (1, -5)\}{(8,−9),(−3,−6),(−4,4),(1,−5)}

Answers

Answer:

[tex]\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}[/tex]

Step-by-step explanation:

Given

[tex]\{(5, -9), (6, -6), (-3, 8), (9, -6)\}[/tex]

[tex]\{(-6, -4), (4, -8), (-6, 9), (1, -3)\}[/tex]

[tex]\{(1, -1), (-5, 7), (4, -9), (-9, 7)\}[/tex]

[tex]\{(8, -9), (-3, -6), (-4, 4), (1, -5)\}[/tex]

Required

Which is not a function

An ordered pair is represented as:

[tex]\{(x_1,y_1),(x_2,y_2),(x_3,y_3),..........,(x_n,y_n)\}[/tex]

However, for the ordered pair to be a function; all the x values must be unique (i.e. not repeated)

From options (a) to (d), option (b) has -6 repeated twice. Hence, it is not a function.

P÷✓2=✓t/r+q

express t in the terms of p and q​

Answers

Given:

Consider the given equation is:

[tex]p\div \sqrt{2}=\sqrt{\dfrac{t}{r+q}}[/tex]

To find:

The value of t in terms of p, q and r.

Solution:

We have,

[tex]p\div \sqrt{2}=\sqrt{\dfrac{t}{r+q}}[/tex]

It can be written as:

[tex]\dfrac{p}{\sqrt{2}}=\sqrt{\dfrac{t}{r+q}}[/tex]

Taking square on both sides, we get

[tex]\dfrac{p^2}{2}=\dfrac{t}{r+q}[/tex]

Multiply both sides by (r+q).

[tex]\dfrac{p^2(r+q)}{2}=t[/tex]

Therefore, the required solution is [tex]t=\dfrac{p^2(r+q)}{2}[/tex].

please help me with this​

Answers

Answer: 312 balcony seats and 396 ground seats

Step-by-step explanation:

Multiplying the second equation by 10, we get 10b+10g=7080.

Subtracting this from the first equation, we get that 5b = 1560, and thus b=312.

Thus, g=396.

using quadratic equation:
help me solve it
[tex]10x - \frac{1}{x } = 3[/tex]

Answers

Answer:

[tex]10x - \frac{1}{x} = 3 \\ 10x = 3 + \frac{1}{x} \\ 10x = \frac{3x + 1}{x} \\ 10x \times x = 3x + 1 \\ 10 {x}^{2} = 3x + 1 \\ 10 {x}^{2} - 3x - 1 = 0 \\ 10 {x}^{2} - 5x + 2x - 1 = 0 \\ 5x(2x - 1) + 1(2x - 1) = 0 \\ (5x + 1)(2x - 1) = 0 \\ \\ 5x + 1 = 0 \\ 5x = - 1 \\ x = \frac{ - 1}{5} \\ \\ 2x - 1 = 0 \\ 2x = 1 \\ x = \frac{1}{2} [/tex]

hope this helps you.

Have a nice day!

Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table.

Ice Cubes 4 2 3 5 5 3 1
Juice (milliliters) 177 234 202 140 155 210 265

She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:

y = -29.202x + 293.5.

Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice cubes?

A.
10
B.
89
C.
118
D.
208

Answers

Answer:

Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table.

Ice Cubes 4 2 3 5 5 3 1

Juice (milliliters) 177 234 202 140 155 210 265

She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:

y = -29.202x + 293.5.

Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice

Step-by-step explanation:

Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice.

Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table.

Ice Cubes             4        2      3        5       5      3        1

Juice (milliliters)  177    234   202   140   155   210   265

She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:

y = -29.202x + 293.5.

What is the line of best fit?

A line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. Statisticians typically use the least-squares method to arrive at the geometric equation for the line, either through manual calculations or regression analysis software.

Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice.

To learn more about the data visit:

https://brainly.com/question/19243813

#SPJ2

please help me for 5 points​

Answers

Answer:

275 adults

130 children

Step-by-step explanation:

Answer:

275 adults, 130 children

Step-by-step explanation:

Someone please help me with this math problem?

Answers

Answer:

(C) 0.3(10 + 4h) = 0.25(6h)

Step-by-step explanation:

Here's what we know about Fernando's fees:

$10 is the initial fee

$4 is the hourly fee (h)

Saves 30% (also written as 0.3) of the total cost (includes initial and hourly fee)

Here's what we know about Brenna's fees:

No initial fee

$6 is the hourly fee (h)

Saves 25% (also written as 0.25) of the total cost (just the hourly fee because she doesn't have an initial fee)

We want to find which hour Fernando and Brenna will have saved the same amount of money.

To do this, let's first set up an equation for Fernando and Brenna separately:

Fernando's equation:

0.3(10 + 4h) = how much money he saves from the total cost

Brenna's equation:

0.25(6h) = how much money she saves from the total cost

Now we set them equal to each other:

0.3(10 + 4h) = 0.25(6h)

There's your answer!

Hope it helps (●'◡'●)

Please help me finish these for summer school :)

Answers

13.45 will be the answer

since we are finding the hypotenuse, the formula is a^2 + b^2 = c^2

this will then be 10^2 + 9^2 = c^2

181=c^2

c=13.45 :)

What is 8 x 3 + 10 - 13 x 2? Show your work.
Will give first answer brainliest

Answers

Hello!

8 × 3 + 10 - 13 × 2 =

= 24 + 10 - 13 × 2 =

= 24 + 10 - 26 =

= 34 - 26 =

= 8

Good luck! :)

Answer:

8

Step-by-step explanation:

According to bdmas rule

First multiply 8 and 3 or 13 and 2

Then, there will be 24 + 10 - 26

Then add 24 + 10, there will be 34

and again minus by 26

Then finally answer will be 8

Change 18° into sexagesimal seconds.​

Answers

Answer:

She's, "HOT"!

Step-by-step explanation:

HELP ME PLEASEEEEEE. !!!

Answers

Answer:

107,100

Step-by-step explanation:

[tex]h(t) = 9 {t}^{2} + 900t \\ \\ plug \: t = 70 \\ \\ h(70) = 9 {(70)}^{2} + 900(70) \\ = 9 \times 4900 + 63000 \\ = 44100 + 63000 \\ = 107,100 \: cm[/tex]

thanks for the points

Two friends enter a contest. Kelsey scored 200 more points than Jake. Together,
they collected a total of 1250 points. How many points did they each score?

Answers

Subtract the amount Kelsey got more than Jake from the total:

1250 - 200 = 1050

Divide by 2:

1050/2 = 525

Jake got 525

Kelsey got 525 + 200 = 725

product of (n+bv^2) (5n+3bv2)

Answers

Answer:

5n² + 8bnv² + 3b²v^4

Step-by-step explanation:

(n+bv²) (5n+3bv²)

5n² + 3bnv² + 5bnv² + 3b²v^4

5n² + 8bnv² + 3b²v^4

Please look at picture answer and explain work

Answers

Answer: The answer is D. 240 grams

Step-by-step explanation:

1. Find the volume.

2cm×3cm×5cm=30 cubic centimeters

2.  Find the volume of the other box.

4cm×9cm×5cm=180 cubic centimeters.

3. Divide. 180÷30=6

4.  6 times the amount it can hold, 40=240 grams of clay.

Hope that helped!

Answer:

Step-by-step explanation:

we are told that the box is  2 cm high, 3 cm wide 5 cm long  and holds 40 grams of clay

so 2*3*5 = 30 [tex]cm^{3}[/tex]

so the 30 cubic centimeter volume holds 40 grams  ( it would have been nice if they had let the box hold 30 grams but,  no  :(

40/30 = 1.333333  or 1 and [tex]\frac{1}{3}[/tex]   of a gram  okay, sooooo now we know each cubic centimeter holds that much clay,  now let's solve for how many cubic centimeters are in the bigger box, you can try to solve it 1st if you'd like to practice,  below I solve it

twice the height  so  2(2)=4 high

3 times the width , so 3(3) = 9 wide

same length,  so  5 long

4*9*5 = 180

180*1.33333333333 = 240 grams of clay in 2nd bigger box  :)

I'm sure there is a funny box joke in there some where :DDDD

do you get the math?  :)

What is the solution to the equation One-fourth x + 2 = negative StartFraction 5 Over 8 EndFraction x minus 5?

x = negative 8

x = negative 7
pls hurry
x = 7

x = 8

Answers

Answer:

c = 24

Step-by-step explanation:

A wooden board 27 ft long is cut into two pieces so that the longer piece is 8
times as long as the shorter piece. Find the lengths of the two pieces.

Answers

Answer:

3ft and 24 ft.

Step-by-step explanation:

Let the length of the shorter piece be x

The longer piece is 8 times as long as shorter piece

therefore,

Length of longer piece = 8x

Total length of the wooden board = 27 ft.

27 = longer length + shorter length

27 = x + 8x

27 = 9x

dividing both sided by 9

3 = x

since x was the length of the shorter piece

shorter piece is 3 ft. long

and the longer piece was equal to 8x

longer piece is 24 ft. long

How to find the domain

Answers

The domain is the x values. So I think the answer is the second choice.

Please help me with this problem

Answers

Answer:

2nd one, 3rd one and last one

2. Resolve into factors.
a) 8x3 + y3​

Answers

Answer:

(2x + y)(4x² - 2xy + y²)

Step-by-step explanation:

8x³ + y³ ← is a sum of cubes and factors in general as

a³ + b³ = (a + b)(a² - ab + b²) , then

8x³ + y³

= (2x)³ + y³

= (2x + y)((2x)² - 2xy + y²) , that is

(2x + y)(4x² - 2xy + y²)

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