Given that /ABC = 108° and /BCD = 60°, calculate /BAC (Parallelogram)

Answers

Answer 1

The measure of the angle BAC is 72degrees

We have given that the

angle B=108 degrees and angle C=60 degrees.

We have to determine angle A

In parallelogram

What is the sum of the two angles?

The sum of the two angles is 180 degrees.

Therefore we get,

angle A+ angle B=180 degrees

angle B=108 degrees

angle A +108=180

angleA=180-108

angleA=72 degrees.

Therefore the measure of the angle A is 72degrees

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Related Questions

hi people! so, i have a math dyslexia, this means i have a really hard time not only understanding math, but keeping up with all the problems and new stuff, could someone just give me an explanation of what algebra is in a way that you would describe it to a 5 year old?​

Answers

Answer:

Math with letters

Step-by-step explanation:

Algebra is just like normal math but instead of you knowing all the numbers there are some numbers you dont know and those are replaced with letters. letters are there to you can replace them with any number, or if given the right problem you might have to find out what number replaces the letter to give you the right answer. for example take 1+x=2 here x would be replaced with 1 to make this true. or take y=2-x+3 if you replace x with any number you want that changes the (y) value to give you anything you want. Also the letters can be any letter you want they dont mean anything just there as place holders for numbers.

Maria is tracking weight progress.She weighed 125 pounds in March and now she is 115 pounds. What is the percent change of her weight?

Answers

Answer:

10%

Step-by-step explanation:

if she weight 125 and is 115 pounds now then the percentage would = 10% because 125 - 115 = 10%

It is recommended that people eat
20,000 mg of fiber each day. Julie ate a
cup of strawberries that had 4 grams of
fiber and a cup of oatmeal that had 5
grams of fiber. How many more grams of
fiber does she need to get the
recommended daily amount of fiber?

Answers

Answer:

First you have to convert MG to G, 1 Gram is equal to 1,000 Milligrams.  If Julie has eaten a total of 9 Grams of fiber, she would need to eat 11 Grams more to get her recommended amount of Fiber

Step-by-step explanation:

1. Convert Mg to G

2. Add the amount of Grams she has already eaten.

3. Subtract the sum from twenty and multiply the difference by 1,000.

It’s due soon l don’t understand what to do

Answers

Answer:

38.4895

Step-by-step explanation:

area of circle = pi * r^2

3.142 * 7^2 = area of the whole circle

as we only have 1/4 of the circle we divide our area by 4

(3.142 *7^2) / 4 = 38.4895

Answer:

38.4895

Step-by-step explanation:

basically you are finding a quarter of the area of the circle. So the formula is 1/4πr^2

so that's 3.142×7^2 and then divided by 4.

hope this helps

0.8 cm

6 cm

Surface area of a cylinder

Answers

A=2πrh+2πr2

A≈34.18 if radius is .8

A≈256.35 if radius is 6

the length of the rectangle is 4cm more than it's width.if the perimeter is 20cm. find the width​

Answers

Answer:

  3 cm

Step-by-step explanation:

The given relation between length and width can be used in the perimeter formula to find the width.

__

Let w represent the width of the rectangle in centimeters. The length is 4 cm more, so can be represented by (w+4). Using these values and the given perimeter in the perimeter formula, we find ...

  P = 2(L +W) . . . . . perimeter formula

  20 = 2((w +4) +w) . . . . known values substituted

  10 = 2w +4 . . . . . . . . divide by 2, collect terms

  6 = 2w . . . . . . . . . subtract 4

  3 = w . . . . . . . . divide by 2

The width of the rectangle is 3 cm.

__

Additional comment

The length is 7 cm.

Which construction uses the compass for only one step in addition to drawing the circle itself? an equilateral triangle inscribed in a circle a square inscribed in a circle a regular hexagon inscribed in a circle a diameter of a circle

Answers

The construction that uses the compass for only one step in addition to drawing the circle itself is A. an equilateral triangle inscribed in a circle.

What is a compass?

It should be noted that a compass simply means a device that's used to show cardinal directions. It's also used in mathematics to draw shapes.

In this case, the construction that uses the compass for only one step in addition to drawing the circle itself is an equilateral triangle inscribed in a circle.

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What is the value of x?

Answers

Answer: 5

Step-by-step explanation:

Which system of equations is satisfied by the solution shown in the graph?
9
2 3 4 5 X
-5
-4
3
8
N
6
51
3.

Answers

Answer:

y = x + 10y = -x + 6

Step-by-step explanation:

Equation of Red Line

Slope (m) = rise/runSlope (m) = 1/1 = 1y-intercept (c) = (0, 10)⇒ y = mx + c⇒ y = x + 10

Equation of Blue Line

Slope (m) = rise/runSlope (m) = -1/1 = -1y-intercept (c) = (0, 6)⇒ y = mx + c⇒ y = -x + 6

∠A ≅ ∠ _____. .A m .B n .C c .D AB

Answers

Answer:

M

Step-by-step explanation:

Option A M is answers

I hope it helped you

Triangle MNO is rotated 180degree using the origin as the center of rotation.

On a coordinate plane, triangle M N O has points (negative 3, 2), (negative 3, 3), (negative 5, 2). Triangle M prime N prime O prime has points (3, negative 2), (3, negative 3), (5, negative 2).

Which sequences of transformations will produce the same results? Check all that apply.
a reflection over the x-axis and then a reflection over the y-axis
a reflection over the y-axis and then a reflection over the x-axis
a 90degree clockwise rotation about the origin and then a 90degree counterclockwise rotation about the origin
a translation 6 units right and then a reflection over the x-axis
a translation 4 units down and then a reflection over the y-axis

Answers

Answer:

A. a reflection over the x-axis and then a reflection over the y-axis  

B. a reflection over the y-axis and then a reflection over the x-axis

So, When there is the reflection over to the x axis so it can be the reflection for the y-axis. and, the same is applied for y-axis as well.

.
Which of the following is the reciprocal 1/5 of ?How do I know if my answer is correct ? Please help me to solve this ! I really need help! Please heeeeelllllllpppppppp!

Answers

Answer:

5

Step-by-step explanation:

Repreical means opposite, so, 1/5 x 5 would equal one, thats a reciproal

Answer:

5

Step-by-step explanation:

The reciprocal of 1/5 would be 5. To find the reciprocal of a number, swap the numerator and the denominator.

HELP ASAP PLEASE

The table below shows the weights of Liam's pumpkin, l(w), and
Patricia's pumpkin, p(w), over a four-week period wherew represents
the number of weeks. Liam's pumpkin grows at a constant rate.
Patricia's pumpkin grows at a weekly rate of approximately 52%.
Assume the pumpkins continue to grow at these rates through week 13.
When comparing the weights of both Liam's and Patricia's pumpkins
in week 10 and week 13, which statement is true?
(1) Liam's pumpkin will weigh more in week 10 and week 13.
3) Patricia's pumpkin will weigh more in week 10 and week 13.
(3) Liam's pumpkin will weigh more in week 10, and Patricia's
pumpkin will weigh more in week 13.
4) Patricia's pumpkin will weigh more in week 10, and Liam's
pumpkin will weigh more in week 13.

Answers

Liam's pumpkin will weigh more in week 10, and Patricia's pumpkin will weigh more in week 13. Then the correct option is C.

What is the linear system?

A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.

The table below shows the weights of Liam's pumpkin, l(w), and Patricia's pumpkin, p(w), over a four-week period which represents the number of weeks.

Liam's pumpkin grows at a constant rate.

Patricia's pumpkin grows at a weekly rate of approximately 52%.

Let x be the number of the week and y be the weight in pounds.

The equation of Liam's pumpkin will be

[tex]\rm y - 2.4 = \dfrac{5.5-2.4}{7-6} (x- 6)\\\\y - 2.4 = 3.1(x- 6)\\\\y = 3.1x - 16.2[/tex]

Then the weight of Liam's pumpkin after 10 weeks will be

y = 3.1 × 10 - 16.2

y = 31 - 16.2

y = 14.8

Then the weight of Liam's pumpkin after 10 weeks will be

y = 3.1 × 13 - 16.2

y = 40.3 - 16.2

y = 24.1

The equation of Patricia's pumpkin will be

[tex]\rm y = a\times (1.52)^{x}[/tex]

For x = 6 and y = 2.5

Then

[tex]\rm 2.5 = a \times 1.52^6\\\\a \ \ = 0.203[/tex]

We have

[tex]\rm y = 0.203 \times (1.52)^{x}[/tex]

Then the weight of Patricia's pumpkin after 10 weeks will be

[tex]\rm y = 0.203 \times (1.52)^{10}\\\\y = 13.36[/tex]

Then the weight of Patricia's pumpkin after 13 weeks will be

[tex]\rm y = 0.203 \times (1.52)^{13}\\\\y = 46.93[/tex]

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1) Carolina walked to school on 12 of the 20 school days in March. Which value is NOT equivalent to the fraction of the school days in March that Carolina walked to school?
A) 60%
B) 0.06
C) 3/5
D) 0.60

Answers

The value that is not equivalent to the number of days Carolina walked to school during March is 0.06.

What is a fraction?

A fraction represents the proportion or part in a whole, in this case, the number of days Carolina walked to school out of the total days in March.

This relationship can be expressed as:

A fraction:

12/20

A simplfied fraction:

3/5 by dividing it into 4

A number:

12/20 = 0.60 by dividing 12 by 20

A percentage:

60% by multiplying the number by 100

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Find the tive-number summary for the data set.
6, 8, 13, 15, 21, 23, 31
A. Minimum = 6
First quartile 31
Median
22
Third quartile = 8
Maximum = 23
B. Minimum = 6
First quartile = 8
Median
15
Third quartile = 23
Maximum = 31
C. Minimum = 31
First quartile = 13
Median = 22
Third quartile : 23
Maximum = 6
D. Minimum = 31
First quartile = 6
Median = 31
Third quartile = 15
Maximum = 8

Answers

Answer:

B

Step-by-step explanation:

HELPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

a. square pyramid b. sphere d.triangular pyramid

Answer:   a= Square Pyramid, b= Sphere, d= Triangular Pyramid

Step-by-step explanation:

Write
22
48
in lowest terms.

Answers

Answer:

11 and 24

Step-by-step explanation:

The captain of a riverboat cruise charges $36 per person. The cruise averages 300 customers a day. The captain is considering increasing the price. A survey indicates that for every $2 increase in price, there would be 10 fewer customers. What price would maximize revenue?

Answers

$6 should be ur answer hope this helps
or a anyway byyy

A state offers specialty license plates that contain 2 letters followed by 3 numbers. License plates are assigned randomly. All license plates are equally likely. Find the number of possible license plates that can be issued using this system

Answers

I am pretty positive the answer is 17,576

LLNNN, we contain 676000 combinations available for license plates.

How to estimate the number of possible license plates?

The number on license plates exists in the form LLNNN, where L denotes a letter and N denotes a number.

As L can be anything from A to Z, there exist 26 combinations for that and as repetition stands allowed, for second and third letters, we also contain 26 combinations available, and therefore 26 × 26 = 676 combinations for letters.

But numbers exist from 0 to 9 i.e. 10 combinations for each place and a total of 10 × 10 × 10 = 1000 combinations.

Therefore, LLNNN, we contain 676000 combinations available for license plates.

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One angle of a parallelogram measures 20 what are the measures of the other three angles in the parallelogram

Answers

Answer:

160°, 20° and 160°

[tex] \: [/tex]

Step-by-step explanation:

Let us assume A, B, C and D are the four angles of the parallelogram. Where, ∠A = 20° and we have to find the measure of ∠B, ∠C and ∠D

So, If ∠A = 20°, then So, also ∠C = 20°.

[Opposite angles of a parallelogram are equal to each other]

Therefore,

The measure of ∠C is 20°

And, ∠A and ∠B are adjacent angles. We know,

Sum of two adjacent angles = 180°

So,

⇒ ∠A + ∠B = 180°

⇒ 20° + ∠B = 180°

⇒ ∠B = 180° – 20°

∠B = 160°

So,

The measure of ∠B = 160°

So, If ∠B = 160°, then So, also ∠D = 160°.

[Opposite angles of a parallelogram are equal to each other]

Therefore,

The measure of ∠D is 160°

PLEASE HELP! 5TH GRADE MATH, PLEASE GIVE BRAINLIEST!

Answers

Answer: 1 divided by 7

Step-by-step explanation: fraction bar is equal to division

Answer:

C or D but mostly D because the fraction is 1 into 7 and D is dividing 1 into 7 so if correct please consider brainliest

<3

Step-by-step explanation:

I really need help with this question.. I've been stuck on it for a while

Answers

Answer:

that forms a triangle .

.....

X + 3/2= 2 1/4 whats the answer

Answers

Move all terms not containing x to the right side of the equation.

Exact Form:

x=15/4

Decimal Form:

x=3.75

Mixed Number Form:

x=3 3/4

hope this helps

y = (3x)2 + 17
when x = 2

Answers

Answer:

y = 29

Step-by-step explanation:

y = (3x)2 + 17

y = (3(2))2 + 17

y = (6)2 + 17

y = 12 + 17

y = 29

PLS HELP FAST!! What does (87)4 equal?
Write your answer as a fraction, using the / symbol, like this: 42/53

Answers

Answer:

348

Step-by-step explanation:

(87)4

87×4

348

it's simple brackets mean multiplication

A salad dressing is made by mixing oil and vinegar in the ratio 7:2. Joshua makes 900ml of salad dressing. How much oil does he use?
Give your answer in millilitres (ml)

Answers

The answer to this question is 700 ML

round answer to nearest hundreth

Answers

Answer:

10

Step-by-step explanation:

A surfer paddles out past breaking waves, rides a wave, paddles back out past the breaking waves, rides another wave back to the beach. Draw a sketch of a graph (with labels) that shows the surfer's possible distance from the beach over time. Show work

Answers

Answer:

Past the waves to the beach

Step-by-step explanation:

They never went past the breaking waves that much and started at the beach

If an investor has a $5,000 pretax return, the state tax rate is 4.5%, and the federal tax rate is 22.0%, what is the real investment value? $1,325 $3,675 $3,900 $4,775

Answers

Based on the given parameters, the real value of the investment is $3675

How to determine the value of the investment?

From the question, the given parameters about the investment are:

Pretax return = $5,000

State tax rate = 4.5%

Federal tax rate = 22.0%

The real value of the investment is calculated using the following formula

Real investment value = Pretax return - [(Pretax return * State tax rate) * Pretax return * Federal tax rate)]

Substitute the given values in the above equation.

Real investment value = 5000 - [(5000 * 4.5%) + (5000 * 22.0%)]

Evaluate the products

Real investment value = 5000 - [225 + 1100]

Evaluate the sum in the above equation

Real investment value = 5000 - 1325

Evaluate the difference in the above equation

Real investment value = 3675

Hence, the real value of the investment is $3675

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Answer:3675

Step-by-step explanation:

Pls help! I don’t understand bc I’m not smart-

Answers

Answer:

78.5 m²

Step-by-step explanation:

The formula to find the area of a quarter of a circle: [tex]\frac{1}{4} * \pi * r^{2}[/tex], where [tex]r[/tex] is the radius (diameter ÷ 2) and the [tex]\pi[/tex] is alterable.

1) Substitute the given values into the formula.

= [tex]\frac{1}{4} * 3.14 * 10^{2}[/tex]

2) Solve it.

= [tex]\frac{1}{4} * 314[/tex]

= 78.5

3) Round it off to the nearest tenth. In this case, it has already been rounded off.

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