Given the following PARALLELOGRAM, find the measure of each angle below.

Given The Following PARALLELOGRAM, Find The Measure Of Each Angle Below.

Answers

Answer 1

Answer:

m∠BEC = 65°

m∠DEC = 115°

m∠DAE = 78°

m∠ECD = 40°

m∠BAD = 118°

m∠ADC = 62°

Step-by-step explanation:

m∠BEC = 65°

Opposite angles formed by intersecting lines are congruent

m∠DEC = 180 - 65 = 115°

A straight line has a degree measure of 180

m∠DAE = 78°

Opposite interior angles of two parallel lines cut by a transversal are congruent

m∠ECD = 180 - [m∠DEC + 25] = 40°

Sum of angles inside triangle ECD has a measure of 180

m∠BAD = 78 + m∠ECD = 118°

Opposite angles of a parallelogram are congruent

2(m∠BAD) + 2(m∠ADC) = 360

118 + m∠ADC = 180

m∠ADC = 62°

Sum of angles inside a parallelogram = 360°


Related Questions

A particular type of fuel tank produced for a particular car model is designed to hold 30
liters. However, the actual capacity of a randomly chosen tank of this type is normally
distributed with mean 30 liters and standard deviation 0.5 liters. Suppose that of the cars
of the above model, 50 percent run 14.5km per liter, 30 percent run 14km per liter and 20
percent run 13.5km per liter under test condition.
i. If you buy a car of the above model, what is the probability that your car will run
more than 420km under test conditions, when tank is filled once?
ii. If a randomly selected car of the above model runs maximum distance of 420km
under test conditions, when the tank is filled once, what is the probability that this
car runs 14.5km per liter?

Answers

Answer:

23

Step-by-step explanation:

l

l

l

l

ll

ll

l

l

l

Solve the equation for y. 5x+2Y=9

Answers

Answer:

y = 9/2 - 5/2(x)

Step-by-step explanation:

I think this is right

Complete the table of values for this equation: y = 3x +10 Enter your answer by filling in the boxes. x y 4 5 6

Answers

x=4,5,6

x=4

[tex]\\ \sf\longmapsto y=3(4)+10[/tex]

[tex]\\ \sf\longmapsto y=12+10=22[/tex]

x=5

[tex]\\ \sf\longmapsto y=3(5)+10=15+10=25[/tex]

x=6

[tex]\\ \sf\longmapsto y=3(6)+10=18+10=28[/tex]

Step-by-step explanation:

y = 3x + 10

x = 4, 5, 6

Soo :

y = 3(4) + 10 = 12 + 10 = 22

y = 3(5) + 10 = 15 + 10 = 25

y = 3(6) + 10 = 18 + 10 = 28

8.
Identify the point corresponding to Q.



A. Q′ (−4, 1)

B. Q′ (−1, −4)

C. Q′ (−3, −4)

D. Q′ (−4, −3)

Answers

Answer:

C. Q′ (−3, −4)  

D. Q′ (−4, −3)

Step-by-step explanation:

From looking at the graph it looks like the answer would be

Q= (3, -4) if the X-axis goes first

Q= (-4, 3) if the Y-axis goes first


STRUCTURE Tell whether the triangles are similar.

Answers

Answer:

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.

Have a nice day and I hope this helps!

I=PRT used to calculate interest earned. How do I solve for T?

Answers

9514 1404 393

Answer:

  T = I/(PR)

Step-by-step explanation:

Solve for T the same way you solve for the variable in any proportion: divide both sides of the equation by its coefficient.

  I = PRT

  I/(PR) = PRT/(PR)

  I/(PR) = T

_____

Additional comment

Please note that parentheses are required around the factors of the denominator when you write this in plain text.

  I/PR ≠ I/(PR)

  I/PR = (I/P)R . . . . . the order of operations requires the division occur before the multiplication

If you write this by hand, or in typeset form, the horizontal fraction bar serves to group the factors of the denominator:

  [tex]T=\dfrac{I}{PR}[/tex]

2.
Fit a quadratic function to these three points:

(−2, 8), (0, −4), and (4, 68)

A. y = −2x2 − 2x − 4

B. y = 4x2 + 2x − 4

C. y = −4x2 − 2x − 4

D. y = −2x2 + 2x − 4

Answers

Answer:

It's C.

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

just put the x and y values into the equations and see which equation stays true.

for example, point (4, 68) rules out A and C even without detailed calculation, because these 2 expressions can produce for positive x only negative y (and 68 is clearly a positive y).

so, when using this point in B :

68 = 4×4² + 2×4 - 4 = 4×16 + 8 - 4 = 64 + 8 - 4 = 68

correct.

and it is correct also for the other points.

so, B is the right answer.

Write an integer to represent each situation


1. walking to the track 6 feet ______
2. digging 10 holes a day _____
3. writing 5 papers ______


Find the absolute value

1. /-3/3 2. /+3/3 3. /-2/

4. /-6/ 5. /+9/ 6. /-15/

7. /=32/ 8. /+32/ 9. /-47/

10. /+78/​

Answers

Answer:

1. 6 2. 10 3. 5

for others see below

Step-by-step explanation:

1. 6 feet

2. 10 holes

3. 5 papers

1./-3/3=3*3=9

2. /3/3=3*3=9

3./-2/=2

4./-6/=6

5./9/=9

6. /-15/=15

7. /-32/=32

8. /32/=32

9. /-47/=47

10. /78/=78

1/2(-4+6x)=1/3x+2/3(x+9)

Answers

Answer:

X=4

Step-by-step explanation:

1. Simplify the expression

2. Multiply the fractions:

3. Break up the fraction:

4. Find the greatest common factor of the numerator and denominator:

5. Factor out and cancel the greatest common factor:

6. Simplify the fraction:

7. Multiply the fractions:

8.Solve by distributing:

9. Simplify the arithmetic:

10.Break up the fraction:

11. Find the greatest common factor of the numerator and denominator:

12. Factor out and cancel the greatest common factor:

13.Combine the fractions:

14. Combine the numerators

15. Find the greatest common factor of the numerator and denominator:

16. Factor out and cancel the greatest common factor:

17. Simplify the right side:

Solve for x and thank you

Answers

9514 404 393

Answer:

  x = 57.6

Step-by-step explanation:

The length of the segment on the right is 30/25 = 1.2 times the length of the segment on the left.

  x = 1.2 × 48 = 57.6

_____

Additional comment

Parallel lines cut transversals proportionally. That is why 30/25 = x/48.

A man is walking at 7km/hr. How long will he take to cover a distance of 42km?

Answers

[tex] \: \: \: \: \: \: [/tex]

1.75hrs

Step-by-step explanation:

it would take 1.75 hrs to cover a distance of 7 kilometres by walking 4 kilometres per hour

speed= Distance/Time

= 4/1 = 4

Time Distance/Speed

= 7/4 =1.75hrs.

hope it helps

[tex] \: \: \: \: \: \: [/tex]

Kenny has 8 red shirts, 12 blue shirts, and 10 white shirts in his closet. What is the probability that he would get a white shirt out of the closet?

Answers

Answer:

1/3 or 33.33 %

Step-by-step explanation:

this is because there is 30 shirts and all and 10 white. 10/30 is 1/3, or 33.33%

Answer:

likely

If there are 8 red shirts, 12 blue shirts, and 10 white shirts. The answer would be likely

Write an equation of the line that passes through the given points (1, -6) and (1, 2).

Answers

Answer:

Step-by-step explanation:

Select the Ordered Pair which is a solution to the linear graph.

(8, 6)

(−8,−6)

(−8, 6)
Review the linear graph.

Answers

Answer:

point B (8, 6)

Step-by-step explanation:

Given the linear graph of a vertical line, x = 8:

The solution to the given linear equation is any ordered pair that is found along the line of the graph.

Out of the given options, point B, (8, 6) is located on the line. Therefore, it is one of the solutions to the linear equation, x = 8.

Please answer. Geometry problem. Unit: Degrees

Answers

Answer:

17

Step-by-step explanation:

∠C is common in both triangles

equate them

∠C = 180- (x + 100) = 180 - ( 4x + 49)

x + 100 = 4x + 49

100 - 49 = 3x

51 = 3x

x = 51/3 = 17

What is the sum of the two expressions? (3/7x+4)+(1/7x-2)

Answers

Combine the like terms:

3/7x + 1/7x = 4/7x

4 + -2 = 4-2 = 2

Answer: 4/7x + 2

solve the following pair of equations graphically and verify them: 3x+y=7 x≃2y please help me​

Answers

Answer:

(2, 1)

Step-by-step explanation:

graph 3x+y=7 and x=2y

make both slope intercept form for easier graphing

y=-3x+7

2y=x, y=1/2x

(2, 1)

check

3*2+1=7

6+1=7

7=7

1=1/2*2

1=1

P= $43,024, r= 0.0875 ? Per day , t= 90 days

Answers

Answer:

How many minutes in total did Mason spend practicing and studying? ... P= $43,024, r= 0.0875 ? Per day , t= 90 days.

Step-by-step explanation:

guys help
Evaluate the numerical expression.

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] =

Answers

Step-by-step explanation:

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)]

= (25)2 × 100 ÷ 23 + [24 ÷ 8]

= 25 × 2 × 100/23 + 3

= 5000/23 + 3

= 5000+69/23

= 5069/23

= 220 9/23

Solve for r.
4r–3r=20
r=

Answers

Answer:

20

Step-by-step explanation:

4r - 3r = 20

r = 20

There you go.

Answer:

r = 20

Step-by-step explanation:

Let's solve your equation step-by-step.

4r − 3r = 20

Step 1: Simplify both sides of the equation.

4r − 3r =20

4r + −3r =20

(4r + −3r) =20 (Combine Like Terms)

r = 20

Hope this helps

There are 150 buttons in a box.
24 children take 3 buttons each.
How many buttons are left in the box?
Show your method.

Answers

24 times 3 is 72 then subtract 72 from 150 which is 78

The answer is 78 :)

Answer:

78 buttons left

Step-by-step explanation:

I multiplied 24 children by 3 buttons because each child took 3 buttons and I got 72 buttons taken.

Then I subtracted 150 buttons which is the starting number by 72 buttons (the amount taken by the child's) to get 78 buttons left in the box. ( I just separated negative 72 buttons into -50 and -22 to make it easier)

calculate the length AB

Answers

Check the picture below.

Find Y if f(x)=g(x),please help me to answer this problem.

Answers

If f(x) = g(x)

Then :

(x-4)/(x²+1) = (x² - 4) / (x²+ 1)

We can simplify on both sides by x² + 1 :

x - 4 = x² - 4

x = x²

x - x² = 0

x(1-x) = 0

So either x = 0, or x = 1

S = {0,1}

Good Luck

Answer:

Step-by-step explanation:

( x , y )

( 0 , - 4 )

( 1 , - 1.5 )

[tex]y_{1}[/tex] = - 4

[tex]y_{2}[/tex] = - 1.5

A spherical tank has a circular orifice in its bottom through which the liquid flows out. The following data is collected for the flow rate through the orifice as a function of time:

Answers

Hi small cats and cats and dogs have a great experience with the evening of the evening of 6th century the morning of this

It is 30 miles into the town. Use the formula to work out how many km this is

Answers

Answer:

30*1.609=48.27

Hope This Helps!!!


9. Machine Trades Find the width X of the V-thread shown. (Round to the
nearest thousandth.)

Answers

Step-by-step explanation:

gjr      jrijtigjtitrg  rkgtrigjkjgkfrijr      l      

no link or bot q bpe

Answers

Answer:

(3,7)

Step-by-step explanation:

n will be located in x positive , y positive

The equation C=5(F−32)9 can be used to convert temperatures in degrees Fahrenheit to degrees Celsius.




State of Water Temperature (°F)

Freezing Point 32

Boiling Point 212



Find the freezing point and boiling point of water in degrees Celsius.




a. freezing point:

°C




b. boiling point:

°C

Answers

The part wasted at the consumer or retail level is referred to as food waste. We make this distinction to address the root.

Answer:

Both of the freezing points would be °C

M<1=m<5 true or false

Answers

Answer:

True

Step-by-step explanation:

Since m<1 and m<7 is equal to m<3 and m<5, therefore m<1 is also equal to m<5

A plane is pointed S 15° E, with indicated speed 500 mph. It flies through a wind
blowing N 20° E at 55 mph. Find the resultant speed and direction of the plane.

Answers

Answer:

N 2.4 ∘ W  or Bearing  357.6 ∘

672.2x  km/hr

Step-by-step explanation:

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