angle M and angle N are complementary. The measure of angle M is 38 degrees less than the measure of angle N Find the measure of each angle.

Answers

Answer 1

Answer:

M = 26 degrees, N = 64 degrees

Step-by-step explanation:

When 2 angles are complementary, it means they add up to 90 degrees. We can set up a system of equations to represent the situation.

M is measure of angle M

N is measure of angle N

M + N = 90 degrees

M = N - 38 (measure of angle M is 38 degrees less than measure of angle N)

We can then use the second equation to substitute in M in the first equation with N - 38

N - 38 + N = 90

2N - 38 = 90

2N = 128

N = 64 degrees

We plug this value back into the first equation to find M

M + 64 = 90

M = 26 degrees

Answer 2

The measure of ∠M and ∠N are 26° and 64° respectively.

What is a supplementary angle ?

Supplementary angles sum to 180°.If two angles are supplementary their sum is 180° and sum of two complementary angles is 90°.

According to the given question angle M and angle N are complementary.

Sum of these two angles ∠M + ∠N = 90°.

Assuming measure of ∠N to be x°,So the measure of ∠M is (x-38)°.

Therefore, x + (x-38) = 90°.

2x = 90° + 38°

2x = 128°.

x = 64°.

∴ The measure of ∠M is (64 - 38 )° = 26°.

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Related Questions

What is the geometric mean between 4 and 25. Write the answer in simplified radical form

Plzzz help me asap

Answers

Answer:

The geometric mean is the square root of 4*25

=10

Step-by-step explanation:

a line with the slope of -3 passes through (-8, p) and (2, 3p). Find the value of p

Answers

Answer:

To find the Slope: Slope Formula: m = y2 −y1 x2 −x1. Given points: P (6,2) and S(3,1) will be our (x1,y1) and (x2,y2) respectively. Hence x1 = 6,y1 = 2,x2 = 3,y2 = 1. Slope(m) = 1 −2 3 −6. ⇒ −1 −3 = 1 3.

Step-by-step explanation:

Answer:

p = -15

Step-by-step explanation:

[tex]-3=\frac{3p-p}{2-(-8)} =\frac{2p}{10}[/tex]

[tex]\frac{2p}{10} =-3[/tex]

[tex]2p=-3(10)[/tex]

[tex]p=\frac{-30}{2}[/tex]

[tex]p=-15[/tex]

[tex]m=\frac{-45-(-15)}{2-(-8)} =\frac{-45+15}{2+8} =\frac{-30}{10} =-3[/tex]

I hope this help you

Given − 13 x − 23 ≥ 7x + 3,, which property is used below? 3 (−13 x − 23) ≥ 3(7x + 3)

Answers

The property used is Division property of equality to get the resulting equation since we divided both sides by 3

Given the inequality expression

3 (−13 x − 23) ≥ 3(7x + 3)

We are to know which of the property is used to arrive at  − 13 x − 23 ≥ 7x + 3

We can see that both sides of the expression were divided by 3 as shown:

[tex]\frac{3(-13x-23)}{3} \geq \frac{3(7x+3)}{3}\\-13x-23 \geq 7x+3\\[/tex]

From the division, we will see that the property used is Division property of equality to get the resulting equation since we divided both sides by 3

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Mr. and Mrs. Smith's children all play different sports. They want to buy a combination of soccer
training sets, which each cost $149, volleyball training set, which each cost $127, and football
training sets which each cost $275. Let s represent number of soccer sets, v represent number of
volleyball sets and frepresent the number of football sets. Which expression represents the total
amount of money the Smiths will spend, before sales tax, based on the number of sports sets they
buy?

Answers

Answer:

 149sx+127v+275f =

276

Step-by-step explanation:

multiply all the numbers than add you get the answer  149sx+127v+275f

149s + 127v + 275f  is expression represents the total amount of money the Smiths will spend, before sales tax, based on the number of sports sets they buy.

What is Expression?

An expression is combination of variables, numbers and operators.

The total amount of money the Smiths will spend on the soccer, volleyball, and football training sets can be represented by the expression:

149s + 127v + 275f

Here, 149s represents the cost of s soccer training sets,

127v represents the cost of v volleyball training sets, and

275f represents the cost of f football training sets.

To find the total amount of money the Smiths will spend based on the number of sports sets they buy, simply substitute the corresponding values of s, v, and f into the expression above and simplify.

Hence, 149s + 127v + 275f  is expression represents the total amount of money the Smiths will spend, before sales tax, based on the number of sports sets they buy.

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you walk into a room.on the bed,there 2 dogs, 4 cat, a girrafe, 5 cows and a duck.there are also three chickens flying above the bed.how many legs are on the floor ?

Answers

Answer:

50 legs

Step-by-step explanation:

We know that a dog has 4 legs, a cat has 4 legs, a giraffe has 4 legs, a duck has 2 legs, and a chicken has 2 legs. So, we want to calculate [tex]2(4)+4(4)+1(4)+5(4)+1(2)+3(2)[/tex], right?

Wrong! It's a trick question! The chickens aren't on the floor, so they don't count. So, we really want [tex]2(4)+4(4)+1(4)+5(4)+1(2)[/tex].

We multiply it out to get [tex]8+16+4+20+2[/tex].

We add these up to get [tex]50[/tex].

So, our answer is [tex]\boxed{50}[/tex] legs.

a) 3x²(5x²-2x-4)
b) xy²(x²y+x³y²+3x²y³)
c) xyz(x²y+3yz²+4xy²z)

Answers

Answer:

bobo ka ba

Step-by-step explanation:

name!https://youtu.be/vA3qDEMnB5k

Factor out the coefficient of the variable.

The expression 13b−13 factored is

Answers

Answer:

13(b-1)

Step-by-step explanation:

I think it the right one

Please help :)
Find the equation that passes through (2, 2) and is parallel to 2y + 4x = 4.5

Answers

Answer:

Line passing through (2,2) is parallel to X - 2Y = 4, so, the slope is same as given line.

m = -a/b = -1/-2 = 1/2

The equation is

(Y - Y1) = m(X - X1) => Y - 2 = 1/2(X - 2) =>

2Y - 4 = X - 2 => | X - 2Y = -2 |

HEY THERE!! CORRECT ANSWER+EXPLANATION SHALL BE MARKED BRAINLIEST+43 POINTS
-solve the equation
[tex] \frac{1}{x} + \frac{1}{3x} = 4[/tex]
(pls have your answer as a fraction in its simplest form)

Thanks xx)​

Answers

[tex]\displaystyle \frac{1}{x} +\frac{1}{3x} =4 \ \ ; \ \ x\neq 0 \\\\\\ \frac{3+1}{3x} =4 \\\\\\12x=4 \\\\ \boxed{x=\frac{1}{3} }[/tex]

en un restaurante se usan 70 gramos por cada porción de arroz por persona.Si un día se preparan 4760 gramos de arroz ¿cuántas porciones se obtendrán?​

Answers

Queremos saber cuantas porciones de arroz se preparan dado que conocemos cuantos gramos de arroz se utilizan.

Se prepararon 68 porciones.

Lo que sabemos en principio es que, por cada porción de arroz, se necesitan 70 gramos de arroz.

Sabemos que en total se utilizan 4,760 gramos de arroz. Para saber cuantas porciones se prepararon, hay que tomar el cociente entre la cantidad total utilizada y lo que se usa para cada porción.

Esto nos da:

4,760g/70g = 68

Es decir, se prepararon 68 porciones.

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Answers

Answer:

3*3*3-1*1

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

3x3=9

1x2=2

so 9-2=7

PLEASE ANSWER, 100 POINTS!
(Please read the full question before you answer.)
Complete the table below to solve the equation 2.5x − 10.5 = 64(0.5x).

x f(x) = 2.5x − 10.5 g(x) = 64(0.5x)
2
3
4
5
6

Answers

Answer:

x

=

0.3559322

Step-by-step explanation:

the function is( -7,1)(-5,3)(-7,-1)(5,13)

Answers

Answer:

Not a function

Step-by-step explanation:

The an x-value (the first number in your ordered pair)ca not appear in another ordered pair.  It it does, you do not have a function.

( -7,1)(-5,3)(-7,-1)(5,13)  -7 appears as the first number in two of your ordered pairs.  Not a function!

From his home, Dan would have to walk due north to get to his friend Samuel's house and due east to get to his friend Cindy's house. It is 3 kilometers from Dan's house to Cindy's house and a straight-line distance of 5 kilometers from Samuel's house to Cindy's house. How far is Dan's house from Samuel's house?

Answers

The distance from Dan's house to Samuel's house is 4 km

The distance from Dan to Samuel house, Dan to Cindy house and Samuel to Cindy house forms a right angled triangle.

Distance from Dan to Samuel house = x, Distance from Dan to Cindy house = 3 km and Distance from Cindy to Samuel house = 5 km

Pythagoras theorem shows the relationship between the lengths of a right angled triangle.

Using Pythagoras theorem:

5² = x² + 3²

25 = x² + 9

x² = 16

x = 4 km

Hence the distance from Dan's house to Samuel's house is 4 km

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anyone can u plz solve this​

Answers

Answer:

18x²y - 8a + 14b

Step-by-step explanation:

The Sum:

3x²y - 5a + 4b +  (-9x²y - 7b + 4a) = 3x²y - 9x²y - 5a + 4a + 4b - 7b = -6x²y - a - 3b

The difference:

3x²y - 5a + 4b - (-9x²y - 7b + 4a) =3x²y + 9x²y - 5a - 4a + 4b + 7b =12x²y - 9a + 11b

Subtract the sum from the difference:

12x²y - 9a + 11b - (-6x²y - a - 3b) = 12x²y + 6x²y - 9a + a + 11b + 3b =18x²y - 8a + 14b

Answer:

See below.

Step-by-step explanation:

First Let's us find the sum.

[tex]\sf\longmapsto \: 3x²y - 5a + 4b + (-9x²y - 7b + 4a)[/tex]

[tex]\sf\longmapsto3x²y - 9x²y - 5a + 4a + 4b - 7b [/tex]

[tex]\sf\longmapsto \: -6x²y - a - 3b[/tex]

Now, let's us find the difference (minus)

[tex]\sf\longmapsto \: 3x²y - 5a + 4b - (-9x²y - 7b + 4a)[/tex]

[tex]\sf\longmapsto3x²y + 9x²y - 5a - 4a + 4b + 7b[/tex]

[tex]\sf\longmapsto \: 12x²y - 9a + 11b[/tex]

Now minus the sum from the difference.

[tex]\sf\longmapsto \: 12x²y - 9a + 11b - (-6x²y - a - 3b)[/tex]

[tex]\sf\longmapsto \: 12x²y + 6x²y - 9a + a +11b + 3b[/tex]

[tex]\sf\longmapsto \: 18x²y - 8a + 14b[/tex]

Therefore,[tex]\sf\longmapsto \: 18x²y - 8a + 14b[/tex] is the answer.

Write 1 and 1/5 and 1 and 1/3 using a common denominator :)

Answers

Answer:

1 3/15

1 5/15

Step-by-step explanation:

Complete the explanation of whether the graph represents a proportional or a nonproportional
relationship
5
Х
XA
O
5

5
The graph represents a (select)
relationship

Answers

Answer:

Non Proportional

Step-by-step explanation:

As it does not pass through the origin.

Amab deposited Rs.200 in a bank.The banker promised 4% interest per annum. How much money will he get by end of one year?

Answers

Answer: $208

Step-by-step explanation:

200 x .04 = 208

every evening gloria gives her little sister a bath describe what may have happened

Answers

Answer:

I dont know?

Step-by-step explanation:

Not math?

Giving right answer branleist

Answers

Answer:

...probably

Step-by-step explanation:

since it's square units and this is a right triangle

area = (width * height) / 2

area = 6 * 3 / 2

area = 18 / 2

area = 9 square units²

Answer:

9 [tex]units^{2}[/tex]

Step-by-step explanation:

The formula to find the area of a triangle is [tex]A=\frac{1}{2}b*h[/tex] where b is the base or bottom of the triangle and h is the height of the triangle.

The base of the triangle in the picture is 6 units.

The height of the triangle in the picture is 3 units.

Substituting these values into the area formula:

[tex]A=\frac{1}{2}(6*3)=\frac{1}{2}(18)=9[/tex]

So the area of the triangle is 9 [tex]units^{2}[/tex]

Can someone pls help me

Answers

9 is your answer

................................

Using Pythagorean theorem

[tex]\\ \sf\longmapsto B^2=H^2-P^2[/tex]

[tex]\\ \sf\longmapsto B^2=(√97)^2-4^2[/tex]

[tex]\\ \sf\longmapsto B^2=97-16[/tex]

[tex]\\ \sf\longmapsto B^2=81[/tex]

[tex]\\ \sf\longmapsto B=9[/tex]

RJ's soccer team has a record of winning 2 matches for every 3 they lose. If the team lost 15 matches during the season, how many matches did they win?

Answers

Answer:

i have no idea

Step-by-step explanation:

Answer:

They won 10 matches

Step-by-step explanation:

Since it's 2/3 if you multiply 3 by 5 you get 15. If you multiply 2 by 5 you get 10. So wit would be 10/15 which is also 2/3.

You are given a card number that says 9 3 4 3 9 4 8 5 3 1 7 3 2 3 6 x. If this is the credit card number what must x be?

Answers

Answer:

7

Step-by-step explanation:

it is a 16 digit credit card number. Therefore, start from the first digit and double alternating digits. Add them and the non doubled digits. should be divisible by 10. For double digits, they are added to make single digit.

9+3+8+3+9+4+7+5+6+1+5+3+4+3+3+x = 73+x

final number should be divisible by 10.

x=7

Four different stores are offering incentives to purchase headphones as shown below. Noisy Music Regular Price $250 Clearance Special - 15% off Loud N Sharp Regular Price $200 $5 off for every $100 spent Music Mart Regular Price $300 Mail-in rebate for $115 Head Jamz Regular Price $225 Manager special – 25% off Which store offers the lowest price?

Answers

Answer:

Head Jamz

Step-by-step explanation:

Noisy Music Regular Price $250 Clearance Special - 15% off

If 15% is off then we pay only 100-15 =85% from the original price.

$250 / 100 % = x / 85%

x= 250*85/100 = $ 212.5

Loud N Sharp Regular Price $200 $5 off for every $100 spent

If the price is 200 then will get $5+$5 =$10 discount

Final price will be 200-10 = $ 180

Music Mart Regular Price $300 Mail-in rebate for $115

$300-$115 = $ 185

Head Jamz Regular Price $225 Manager special – 25% off

If 25% is off we only pay 75% of the original price

$225/ 100% = x / 75%

x= 225*75/ 100 = $168.75 is the lowest price

Slope 5, passing through (-4,1)

Answers

Answer:

y=5x+21

Step-by-step explanation:

right now we know y=5x+b, so all we need is b.

graphing it on paper starting at (-4,1), you can go up 5, right 1 because your slope is 5.

you'll get (-4,1) (-3,6) (-2,11) (-1,16) (0,21)

Once you reach x=0, your intecept is 21, completing the slope intercept form, making it y=5x+21.

A package of 5 pairs of insulated socks costs ​$26.45. What is the unit price of the pairs of socks​?

Answers

Answer:

$5.29 per pair of socks

Step-by-step explanation:

26.45/5=5.29

Select the correct answer.
The graph shows a proportional relationship between the number crates and the number of apples per crate.



What is the constant of proportionality in terms of the number of apples to the number of crates?

A.
30
B.
35
C.
40
D.
50

Answers

Answer:

40

Step-by-step explanation:

It is 40 because on the graph it shows that you don't start at the first crate but the 2nd you do and you have to figure out if the crate was one how many apples would their be

What is the most appropriate method to solve the quadratic equation x²−16=0?
B. By factoring
A. By extracting the square root
C. By completing the square
D. By using the quadratic formula

Answers

By factoring

x^-16=9
(x-4) (x+4) + 0

x-4=0
x = 4

x+4=0
x = -4

Please help me solve this

Answers

Answer:

the answer will be something like 18

the answer is 4
6/2 x 6/2 = 36/4 = 9
15x2/1+5 = 30/6 = 5
9-5=4

For her grandfather's birthday, Valeria is baking cupcakes. With every egg she can find, she can bake 6 cupcakes.
Write an equation that shows how the total number of cupcakes Valeria can bake, y, depends on the number of eggs she can find, x.

Answers

The equation that shows the total number of cupcakes that Valeria can bake will be y = 6x.

Number of cupcakes that can be baked with 1 egg = 6

Let the total number of eggs be represented by x.

Let the total number of cupcakes be represented by y.

Therefore, the total number of cupcakes will then be:

y = 6 × x

y = 6x

Therefore, the equation that shows the total number of cupcakes that Valeria can bake will be y = 6x.

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