Parallelogram L M N O is shown. Angle N is (5 x) degrees and angle L is (3 x + 40) degrees.
In parallelogram LMNO, what is the measure of angle M?

20°
60°
80°
100°

Parallelogram L M N O Is Shown. Angle N Is (5 X) Degrees And Angle L Is (3 X + 40) Degrees.In Parallelogram

Answers

Answer 1

Answer:

Answer:

80degrees

Step-by-step explanation:

Find the diagram attached

From the diagram, the opposite angle of the parallelogram are equal hence;

5x= 3x+40

5x - 3x = 40

2x = 40

x = 40/2

x = 20degrees

Also <M + <N = 180

<M + 5x = 180

<M + 5(20) = 180

<M + 100 = 180

<M = 180-100

<M = 80degrees

Hence the measure of angle M is 80degrees

Step-by-step explanation:

Answer 2

For the given parallelogram measure of angle M is 80 degrees.

In the given parallelogram,

Angle N = 5x degree

Angle L  = (3x + 40) degree

Now for parallelogramm

angle L = angle N

⇒  (3x + 40) = 5x

⇒            2x  = 40

⇒               x  = 20

We know that for a parallelogram sum of two consecutive angles = 180 degrees.

    Angle M + angle N = 180 degree

⇒      Angle M + 5(20) = 180 degree

⇒                   Angle M = 80 degree

Hence the measure of angle M is 80 degree.

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Related Questions

Which statements are true about a triangular pyramid? Check all that apply. It has exactly two faces that are triangles. It has exactly three faces that are triangles. It has exactly four faces that are triangles. It has 4 vertices. It has 5 faces. It has 6 edges.

Answers

Answer:

It has exactly 4 faces that triangles.

Step-by-step explanation:

Answer:

it has exactly four faces

it has four vertices

has six edges'

Step-by-step explanation:

Christine purchased a prepaid phone card for $30. Long distance calls cost 18 cents a minute using this card. Christine used her card only once to make a long distance call. If the remaining credit on her card is $27.84, how many minutes did her call last?

Answers

The call lasted 12 minutes. 12x0.18=2.16. 30.00-2.16=$27.84

Answer:

The answer is 12 minutes.

Step-by-step explanation:

It is given that the cost of one minute is $0.18. Firstly, you have to substract the remaing credits from her original credits :

$30 - $27.84 = $2.16

We have found out that she uses $2.16 for her long distance call. Next, you have to divide 18 cents from the uses in order to find out how many minutes she use :

[tex]1 \: min = 0.18dollar[/tex]

[tex]x \: mins = 2.16dollars[/tex]

[tex]x = 2.16 \div 0.18[/tex]

[tex]x = 12 \: mins[/tex]

I don’t know how to solve this please help I’ll give you 60 points

Answers

Answer:

x=58

FDE=61

Step-by-step explanation:

Since FDA and ADC are supplementary angles, their angle measures add up to 180 degrees. You can therefore write down the following equation:

2x+3+x+3=180

3x=174

x=58 degrees

FDE=ADC= x+3=61 degrees. Hope this helps!

It’s really blury and I really did try it’s hard to see

An object is launched straight into the air. The projectile motion of the object can be modeled using h(t) = 96t – 16t2, where t is the time since launch and h(t) is the height in feet of the projectile after time t in seconds. When will the object be 144 feet in the air? When will the object hit the ground?

Answers

Answer:

first one is 3 seconds second one is 6 seconds

Step-by-step explanation:

The object will hit the ground in 3 seconds.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

The given function is h(t)=96t-16t².

The object be 144 feet in the air.

144=96t-16t²

144=16(6t-t²)

t²-6t+9=0

By splitting middle term method, we get

t²-3t-3t+9=0

t(t-3)-3(t-3)=0

t-3=0

t=3

Therefore, the object will hit the ground in 3 seconds.

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The product of 21 and a number u is at most 126

Answers

Answer:

21u is less than or equal too 126

Step-by-step explanation:

Final answer:

The inequality 21u ≤ 126 is solved by dividing both sides by 21, resulting in u ≤ 6.

Explanation:

The product of 21 and a number u is at most 126 can be expressed as an inequality: 21u ≤ 126. To solve for u, we divide both sides of the inequality by 21, the coefficient of u. Doing so, we find that u ≤ 6. Therefore, the number u can be any number less than or equal to 6 so that the product of 21 and u does not exceed 126.

onsider the graph of the line of best fit, y = 0.5x + 1, and the given data points. A graph shows the horizontal axis numbered negative 4 to positive 4 and the vertical axis numbered negative 4 to positive 4. Points show an upward trend. Which is the residual value when x = 2? –2 –1 1 2

Answers

Answer:

x = 2

Step-by-step explanation:

The residual value represents the vertical distance between an actual data point and the predicted value on the line of best fit. To find the residual value when x = 2, we need to substitute x = 2 into the equation of the line of best fit and calculate the corresponding y-value.

The equation of the line of best fit is y = 0.5x + 1.

Substituting x = 2 into the equation, we get:

y = 0.5(2) + 1

y = 1 + 1

y = 2

So, when x = 2, the predicted y-value on the line of best fit is 2.

To find the residual value, we need to compare this predicted value with the actual data point. However, the given data points are not provided in the question, so we cannot calculate the exact residual value.

Therefore, without the actual data points, we cannot determine the specific residual value when x = 2.

Final answer:

To determine the residual value for x = 2, we need the actual y value from the data points. The residual is the difference between this actual y value and the predicted value from the line y = 0.5x + 1. Without the actual y value, the residual cannot be calculated.

Explanation:

The subject of this question is residual value in the context of linear regression, which is a part of high school Mathematics. The residual is the difference between the actual y value of a data point and the y value predicted by the line of best fit. When x = 2, we first calculate the predicted value using the equation y = 0.5x + 1, which gives us y = 2. To find the residual value, we need the actual y value from the given data points. If there is no actual y value given specifically for x = 2, we cannot calculate the residual value. Without that actual data point, we cannot compare it to the predicted value of 2. Please provide the actual y value for x = 2 to determine the residual.

What is the sum of infinity sigma n = 1 2 (1.5)^n-1

Answers

Answer:

S= 5/2

Step-by-step explanation:

Answer:

ITS D YALL JUST TOOK THE TEST 2021

Step-by-step explanation:

Mr. Goodwin received a paycheck for $1200. He deposited the money into a
bank account. The account has an interest rate of 6% compounded
continuously. This is the first and last deposit Mr. Goodwin makes into this
account. How much money will be in the account in 15 years?

Answers

Answer: There will be $2951.52 money in the account in 15 years

Step-by-step explanation:

Given: Principal ; P = $1200

Interest rate;r  = 6% compounded continuously

Time; t  = 15 years

As we know the compounded continuously formula is given by

[tex]A= Pe^{rt}[/tex] where A is amount , P is principal , r is rate, t is time and e be the mathematical constant.

So according to question we have

[tex]A= 1200 e^{0.06 \times 15} = 1200 e^{0.9} \approx 2951.52[/tex]

Hence, there will be $2951.52 money in the account in 15 years

The set of points in a plane that are equidistant from a given point from a ————

Answers

Answer:

The set of points in a plane that are equidistant from a given point create a circle.

Hope this helps!

:)

Which expression has a value closest to 1 ? (Use 3.14 as the value of pi.)
A. 7pi/square root of 10
B. square root of 75 - square root of 74
C. square root of 37 - square root of 26
D . 3 and the square root of 5 - square root of 20/ square root of 2

Right answers only

Answers

Answer:

C

Step-by-step explanation:

Answer:

the answer is C

Step-by-step explanation:

If AP = 18, then find KP.

Answers

Answer:

6

Step-by-step explanation:

18 ÷ 3 = 6

The length of KP is 6 units.

What is Median?

The line segment from a vertex to the middle of the other side is what is meant by a median. When the vertex is an angle in an equilateral triangle or the non-congruent angle of an isosceles triangle, it is also an angle bisector.

Given:

From the figure CP = PB then AP is a median.

AP= 18 units

Now, the line QB divides the line AP in ratio 2:1.

So, KP = AP /3

KP = 18/3

KP = 6 units

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Which expression is equivalent to 3b-1?
5b+3-6-6-4
5b+3-2b-5
26-5+b-4
b+b-5-5b+4

Answers

Answer:

5b+3-b-b-4

Explanation:

First, you’ll do 5b-b-b which will become 5b-2b and equals 3b. Then 3-4 equals -1.
When simplified, you get 3b-1

An ice cream cone has a diameter of 6 inches and a height of 7 inches. What number can be used to complete the volume
statement for the ice cream cone?
Volume

Answers

Answer:

The volume of ice cream cone is 66 cubic inch.

Step-by-step explanation:

Diameter of ice cream cone is 6 inches

Height of the cone is 7 inches

The volume of a cone shaped object is given by :

[tex]V=\dfrac{1}{3}\pi r^2h[/tex]

Substituting all the values in above formula as:

[tex]V=\dfrac{1}{3}\times \dfrac{22}{7}\times 3^2\times 7\\\\V=66\ \text{inches}^3[/tex]

So, the volume of ice cream cone is 66 cubic inch.

Answer:

66

Step-by-step explanation:

What is the answer to the file attached

Answers

Answer:

(2x)^4 - (3y)4

Step-by-step explanation:

using this identity a^2 - b^2 = (a + b )(a - b)

=(4x^2)^2 - (9y^2)^2

=(2x)^4 - (3y)4

f(x) = -7x2 + 8x + 2
What is the value of the discriminant of f?
How many x-intercepts does the graph of f have?

Answers

Answer:

120

2 real intercepts

Step-by-step explanation:

f(x) = -7x^2 + 8x + 2

The discriminant is

b^2 -4ac

where ax^2 +bx+c

a=-7 b =8 c=2

The discriminant is

8^2 - 4(-7) (2)

64 +56

120

This will have 2 real x intercepts because 120>0

Answer:

120 ; Two

Step-by-step explanation:

-7x2 + 8x + 2

B² - 4AC

8² - 4(-7)(2)

64 - (-56)

120

Since 120 > 0, the graph will have two distinct x-intercepts

In right triangle abc shown below what is the degree measure /_C

Answers

I am not sure. Can’t see the question sorry

A ramp with a one-meter distance from edge to edge reaches a height of 0.643 meters. What is the value of the acute angle?


a. 300


C. 600


b. 400


d. none of the above

Answers

Answer:

The value of the acute angle is 40°

Step-by-step explanation:

Given a ramp with a one-meter distance from edge to edge and reaches a height of 0.643 meters, the equivalent set up will form a right angled triangle where the length of the ramp will be the hypotenuse of the triangle and its height will be the opposite side of the triangle facing the acute angle directly.

To get the value of the acute angle, we will use the trigonometry ratio known as SOH, CAH, TOA.

Given length of ramp = hypotenuse = 1m

Height =Opposite side = 0.643m

Using SOH;

sin[tex]\theta\\[/tex] = [tex]\frac{opp}{hyp}[/tex]

sin[tex]\theta[/tex] = 0.643/1

sin[tex]\theta[/tex] = 0.643

[tex]\theta[/tex] =sin⁻¹0.643

[tex]\theta[/tex] = 40°

The value of the acute angle is 40°

Marion and her sister Elaine are saving up to buy a DSLR camera. Marion has saved up $ 299.99 in her account. Elaine sets aside her weekly allowance over a five week period to buy the camera that costs $699.99. Calculate Elaine’s weekly allowance.

Answers

You see you round 299.99 to 300 then divide it by 5 because she gained 300 over five weeks and you get 60 a week

Answer:

$80.00

Step-by-step explanation:

If you round up the values, you should evaluate to the following:

Marion/Elaine have $300.00

Marion/Elaine need $700.00

Subtract them from each other and that equals $400.00 dollars that they need.

Since it is a 5 week period this is over, you can divide 400 by 5, what do you get? $80.00

PLEASE HELP

a company designs a new logo to be painted on a wall in the lobby of its office building. the dimensions are shown below what is the area of the logo.

Answers

The answer is 15 square ft

Answer:

15 square feet

Step-by-step explanation:

Mary earns $5 per hour as a waitress. Last week she took home her regular earnings of $5 per hour plus $182 in tips for a total of
$302. How many hours did Mary work last week?
O A. 22
B. 26
C. 24
.D.
29

Answers

The answer would be 24
C. 24 hours
(302-182) /5= 24

What is the difference between qualitative and quantitative

Answers

Answer:

Step-by-step explanation:

There are two general types of data. Quantitative data is information about quantities; that is, information that can be measured and written down with numbers. Some examples of quantitative data are your height, your shoe size, and the length of your fingernails.

Qualitative data is not countable, while Quantitative can be counted as it’s numerical.

What is the height of the trapezoid ? A) 3units B) 5units C) 10units D) 12units

Help pls?

Answers

Answer:

b) 5

Step-by-step explanation:

6+10=16

40 times 2 = 80

80 div by 15 = 5

Answer:

The answer is 5units

Step-by-step explanation:

Because it is

can someone help me out plz?

Answers

2. There are 14 rollercoasters at the amusement park. There are 2 rollercoasters made of steel, 6 of them are made of steel and have loops, 4 of them have loops but aren't made of steel and there are 2 rollercoasters with no loops and aren't made of steel.

4. 60% of rollercoasters with loops are made of steel. 40% of rollercoaster with loops are not made of steel. 50% of rollercoasters made of steel have no loops and 50% of rollercoasters not made of steel don't have loops.

6. 75% of rollercoasters are made of steel either have loops or no loops.

25% of rollercoasters not made of steel either have loops or no loops.

This was quite a lot to do, I'm pretty sure the relative frequency graph number 3 had me a bit confused.

Solve S= 2ab + 2bc + 2ac for b.
A) s-4a/c

B) s/2(a+c)

C) s/a+b+c

D) s-2ac/2a+2c

Answers

Answer:

D) s-2ac/2a+2c

Step-by-step explanation:

[tex]s = 2ab + 2bc + 2ac \\ s - 2ac = b(2a + 2c) \\ \huge \red{ \boxed{ b = \frac{s - 2ac}{2a + 2c} }}[/tex]

What term should be added to y2-14y to make it a perfect square
trinomial?

Answers

Answer:

49

Step-by-step explanation:

Given the monomial y²-14y, in order to make the binomial a perfect square, we need to add a constant to the function using completing the square method.

To get the constant, we will multiply the coefficient of y by 1/2 and then square the resulting value.

- The coefficient of y is -14.

multiplying the coefficient of y by 1/2 will give -14/2 = -7

- squaring -7 will result in (-7)²

= 49

The constant that will be added to the binomial to make it a perfect square trinomial is 49

1. The students in Mr. Anderson's
math class earned these scores on
a test: 96, 49, 72, 89, 76, 82, 89.
Find the mean score.​

Answers

Answer:

maybe you can mulitply sorry if im wrong im also struggling :(

Add all then divide by how many numbers there are

What is mean of data round to nearest tenth

Answers

Answer:

C) 5.8

Step-by-step explanation:

75/13 = 5.7692

rounded = 5.8

Hope this helps!

What are the values of m and e in the diagram below?

Answers

Please add the picture.

Directions: Simplify each expression by combining like terms
1.) -y+9z-16y-25z
2.) 6x +3y-y+2+2
3.) 9b + 5(b - 4) + 15

4.) -4(3x + 5) + 10x + 1
5.) 0.5(y + 4) + 18y - 9
6.) -0.7r+9(-r-15)

Answers

Answers:

1.) -y+9z-16y-25z  =   -17y-16z

2.) 6x +3y-y+2+2  =   6x+2y+4

3.) 9b + 5(b - 4) + 15  =   14b-5

4.) -4(3x + 5) + 10x + 1  =   -2x-19

5.) 0.5(y + 4) + 18y - 9  =   18.5y-7

6.) -0.7r+9(-r-15)  =    -9.7r-135

2x(-2x-3)
I’d like some help on this

Answers

Answer:

the answer is 12

Step-by-step explanation:

2 x ( − 2 x ) + 2 x ⋅ − 3

 

Simplify the expression.

− 4 x 2 −  6 x

Answer:

X^2-6x

Step-by-step explanation:

2x times -2x is 0 which is x^2

2x times -3 is -6x

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