Use quadrilateral ABCD. What value for m DAB would show ABCD is a parallelogram?

Use Quadrilateral ABCD. What Value For M DAB Would Show ABCD Is A Parallelogram?

Answers

Answer 1

Answer:

m∠DAB = 101°

x = 7

y = 12

Step-by-step explanation:

Properties of a parallelogram,

1). Opposite sides of a parallelogram are equal and parallel.

2). Opposite interior angles are equal in measure.

3). Consecutive interior angles are supplementary.

By the first property,

BC ≅ AD

2x + 4 = 3x - 3

3x - 2x = 4 + 3

x = 7

AB ≅ CD

2y + 10 = 3y - 2

3y - 2y = 10 + 2

y = 12

By second property,

m∠ABC = m∠ADC

2z + 15 = 3z - 17

3z - 2z = 15 + 17

z = 32

Therefore, m∠ADC = (3z - 17)°

                                = 3(32) - 17

                                = 96 - 17

                                = 79°

By third property,

m∠ADC + m∠DAB = 180°

79° + m∠DAB = 180°

m∠DAB = 180° - 79°

m∠DAB = 101°


Related Questions

helpppppppppppppp-------

Answers

Answer:

7/10

Step-by-step explanation:

1/10 = 2/20

1/4 = 5/20

2/5 = 8/20

11/20 = 11/20

We can see that the next term is just 11/20 + 3/20, as 3/20  is added onto each of the next terms.

11/20 + 3/20 = 14/20, which can be simplified to 7/10.

Hope this helps!

The correct answer is 7/10

You can pack 6 cans in 1 box. Write a proportion to find the number of
cans you can pack in 12 boxes. Which choice sets up the proportion
correctly and has the correct solution?

Answers

Answer:

Step-by-step explanation:

You can fit 6 cans in a box. So now there are 12 boxes. Therefore you have to multiply 6 times 12 which should give you 72. You can fit 72 cans in 12 boxes total

please hurry and answer correctly. fake answers will be reported

Answers

ok i’ve attached a picture with how i would work out the problem

Which two of the following numbers have the same value?
33 and 42
42 and 52
24 and 33
24 and 42
i'll try to mark brainliest for the first correct answer!!

Answers

Answer:

33 and 42

Step-by-step explanation:

in parallelogram DEFG if m< GDE=50° find m

Answers

Answer:

130°

Step-by-step explanation:

180-50=130°

Sarah took out a $30,000 loan at a 4% interest rate to put a new pool in her backyard. If the interest is compounded quarterly, write a function to model this situation. How much interest will she have paid after 12 years?

Answers

Answer: $48,366.78

Step-by-step explanation:

3000(1+0.04/4) 4t

The function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.

What is compound interest?

It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.

We can calculate the compound interest using the below formula:

[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]

Where A = Final amount

          P = Principal amount

          r  = annual rate of interest

          n = how many times interest is compounded per year

          t = How long the money is deposited or borrowed (in years)

Here P = $30,000

r = 4% = 0.04

n = 4

t = 12

The function of this situation:

[tex]\rm A = 30,000(1+\dfrac{0.04}{4})^{4t}[/tex]

Plug t = 12 in the above function.

[tex]\rm A = 30,000(1+\dfrac{0.04}{4})^{4\times12}[/tex]

A = $48,366.78

So compound interest CI = 48,366.78 - $30,000

CI = $18,366.78

Thus, the function is A = 30,000(1+0.04/4)^(4t) and the compound interest is $18,366.78 if the interest is compounded quarterly.

Learn more about the compound interest here:

brainly.com/question/26457073

#SPJ2

Elle was asked to find the missing measure of an interior angle of a heptagon. A heptagon has angles x, 116 degrees, 115 degrees, 155 degrees, 138 degrees, 95 degrees, and 150 degrees. Elle’s work is shown below. Steps Elle’s Work Step 1 (n minus 2) 180 degrees = (7 minus 2) 180 degrees = 900 degrees Step 2 900 minus (116 + 115 + 155 + 138 + 150) Step 3 x = 226 degrees Where, if at all, did Elle first make a mistake finding the measure of an interior angle? step 1 step 2 step 3 Elle did not make a mistake.

Answers

Answer:

Step 2

Step-by-step explanation:

Answer:

Should be step 2!

Step-by-step explanation:

help me pls i need this answered

Answers

exact form - -4/3
decimal form - -1.3 repeating
mixed number - -1 1/3

Answer:

[tex]-\frac{4}{3}[/tex]

Step-by-step explanation:

[tex]-3 \frac{3}{5}[/tex] ÷ [tex]2 \frac{7}{10}[/tex]

Convert both mixed numbers to an improper fraction. This can be done by multiplying the denominator by the "number" part of the mixed number, then adding the result to the numerator.

[tex]- \frac{18}{5}[/tex] ÷ [tex]\frac{27}{10}[/tex]

Now divide the fractions, to divide the fractions, one will find the reciprocal of the recond fractions, and then multiply it by the first fractions. Remember, the reciprocal of a fraction is when one switched the numerator and denominator of a fraction.

[tex]-\frac{18}{5} * \frac{10}{27}[/tex]

[tex]= -\frac{180}{135}[/tex]

Simplify;

= [tex]-\frac{4}{3}[/tex]

pl help it’s for a grade

Answers

Answer:

area of lot: (2×2+7×+6)-1624= 2×2+7×-1618

Step-by-step explanation:

lot: (2×+3)(xt2)

2×2+4×t3×t6

a: 2×2+7×+6ft 2

house: 58×28= 1,624

a: 1624 ft 2

Please help due today

Answers

Answer:

160 - 2

120 - 1 1/2

240 - 3

Step-by-step explanation:

80 km driven every hour

5x^2-41x+8=0 please helpp

Answers

Answer:

Use the quadratic formula

=

±

2

4

2

x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}

x=2a−b±b2−4ac​​

Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.

5

2

4

1

+

8

=

0

5x^{2}-41x+8=0

5x2−41x+8=0

=

5

a={\color{#c92786}{5}}

a=5

=

4

1

b={\color{#e8710a}{-41}}

b=−41

=

8

c={\color{#129eaf}{8}}

c=8

=

(

4

1

)

±

(

4

1

)

2

4

5

8

2

5

2

Simplify

3

Separate the equations

4

Solve

Solution

=

8

=

1

5

x=8
X= 1/5 is solution

PLEASE HURRY!!! PLEASE

Answers

Answer:

going horizontally, 15, 3, 9, then 1, 3, 6, then 20, then, 40, 60

Step-by-step explanation:

Several students in a class made the following statement. Decide whether you agree with the statement. If you disagree, change the statement to make it correct. A quadrilateral with congruent diagonals must be a rectangle. (ignore that one is already picked that was an accident)

Answers

Answer:

It's option c

Step-by-step explanation:

A bus driver started her day with an empty bus. At her first stop she picked up
11 people. At her second stop she picked up 5 more people and let 7 people
get ofl. At her third stop she picked up 5 people and let 2 off. How many
people were on the bus as the driver left the third stop?

Answers

Answer:

12 people.

Step-by-step explanation:

Let's do this one at a time.

First stop:

0 + 11 = 11

Second stop:

11 + 5 = 16.

16 - 7 = 9.

Third stop:

9 + 5 = 14.

14 - 2 = 12.

There were 12 people on the bus after the driver left the third stop.

The regular price of a stereo system at Best Buy is $375. The system is on sale for 15% off the
regular price. The sales tax rate is 6%. What is the final cost of the stereo system, after the
discount and including the tax? *
$229.62
$318.75
$341.25
$337.88

Answers

The answer is A. The final cost would be $229.62.

The final cost of the stereo system after the discount and including the tax is $337.88. The correct option is D.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Given that the regular price of a stereo system at Best Buy is $375. The system is on sale for 15% off the regular price. The sales tax rate is 6%.

The discounted price is calculated as,

Discounted Price = 375 x 0.85

Discounted Price = 318.75

The total price after sales tax is,

Total price = 318.75 x 1.06

Total price = $337.875

To know more about percentages follow

https://brainly.com/question/24304697

#SPJ2

PLZ HELP WILL MAKR BRAINLIEST

Answers

Answer:

It will be 0.2

Step-by-step explanation:

Hope this Helped

WILL GIVE BRAINLIEST PLEASE HELP
Ryan and Eduardo are saving up money for a vacation to Italy. They have calculated that the trip will cost at least $900. If they’ve already saved $270, how much more do they need to save in order to have enough for the trip? Write an inequality and solution set

Answers

Answer:

they need to save $630 in order to have enough for the trip

270 + 630 = $900

8/5 = ? Pls help this is my math

Answers

Answer:

I think that is it 1.6 if its division

Write an equation in point-slope form for the line that passes through (-4, 5) and has a slope of 1/2 .

Answers

Answer:

y=1/2x+7

Step-by-step explanation:

y-5=1/2(x-(-4))

y-5=1/2x+2

y=1/2x+7

The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1?

Answers

Answer:

The average rate of change of the function is: 0

Step-by-step explanation:

The function y = f(x) is graphed below.

From the graph it is clear that:

at x = -8, the value of f(-8) = -10

at x = -1, the value of f(-1) = -10

We have to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.

so

at x₁ = -8, f(x₁) = f(-8) = -10

at x₂ = -1, f(x₂) = f(-1) = -10

Using the formula to determine the average rate of change of the function f(x) on the interval -8 ≤ x ≤ -1.

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]  

                      = [f(-1) - f(-8) ] / [-1-(-8)]

                      = [-10 - (-10)] / [-1+8]

                      = [-10 + 10] / 7

                      = 0 / 7

                      = 0

Therefore, the average rate of change of the function is: 0

20 POINTS PLZ HELP

4. You are taking out an adjustable rate mortgage with an initial APR of 4% for
years 1 - 5, loan amount: $224,000 for 30 years. What is the monthly payment and
total cost for the first 5 years? Which line(s) did you use on the calculator and
what did you enter for B, R, T and m.

Answers

Answer:

mmm... i think its 6-

Step-by-step explanation:

There are 60 bottles of juice in the grocery store of these 24 are apple what percent of the bottles are apple

Answers

Answer:

%2.5

Step-by-step explanation:

HELP I NEED HELP ASAP

Answers

I think it’s C, because for one ticket 15(1)+2 = 17
No it’s not c I took the test it’s b

Pls help me I rlly need help!!!!!!!

Answers

Answer:

The last one!!!

Step-by-step explanation:

Count the squares

The last one is the answer!

The ratio of Sam's money to Buffy's is 1.2. If Sam has $3, how much money does Buffy have? Show your work please

Answers

if the ratio is 1:2,

sam has three dollars.
buffy has six dollars.

we know this because the ratio is 1;2, so we can multiply sam’s amount by two, because buffy’s amount is twice sam’s amount.

ANSWER: buffy has 6 dollars!!


if you need the new ratio: 3:6

-10(x + 21) = -15x + 18
What value of x makes the equation true?

Answers

Answer:

x = 45.6

Explanation:

-10(x + 21) = -15x + 18

-10x - 210 = -15x + 18

-210 = -5x + 18

-228 = -5x

x = 45.6

(I’m not sure if this is what you’re looking for, but I hope it helped a bit)

The lowest point on the Earth's surface is in the Mariana Trench in the
Pacific Ocean. It has a depth of about 36,069 feet. Which is this depth
written in scientific notation?
A 36 x 103
B 3.6 x 104
C 3.6 x 105
D 0.36 x 105

PLEASE HELP MEEE!

Answers

Answer:

3.6069 × 104

Step-by-step explanation:

A school group rented a banquet room for $110. They also paid $15 for each person (p) at the banquet. The total bill was $1,460. Which equation models the total cost for the group to rent the room?
A-15 + 110p = 1,460
B-10 + 15p = 1,460
C-110(p + 15) = 1,460
D-15(p + 110) = 1,460

Answers

Answer:

10+15p =1460

Step-by-step explanation:

Help me please!
If you get it right, I’ll will brainliest u!!

Answers

Answer: c

Step-by-step explanation:

Anyone got the answer? Would be nice pls

Answers

Answer:

20 cm^3

Step-by-step explanation:

The volume of a rectangular prism is V=length*width*height.  Therefore, to find the volume, plug in the values into the equation

V = (2/3)*5*6

V = 20 cm^3

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