What are the lengths of side AB and side BC?

What Are The Lengths Of Side AB And Side BC?

Answers

Answer 1

Answer: AB=20, BC=14

Step-by-step explanation:

set AB together with the side congruent to it (which is DC)

3x-7=x+11

subtract x and add 7 to both sides

2x=18

divide both sides by 2

x=9

plug 9 in for AB.

3(9)-7

27-7=20.

now do the same for BC

Answer 2

Answer:

AB = 20

BC = 14

Step-by-step explanation:

ABCD is a parallelogram

Opposite sides of a parallelogram are equal.

Therefore,

AB = DC

3x - 7 = x + 11

3x - x = 11 + 7

2x = 18

x = 18/2

x = 9

AB = 3x - 7 =3*9 - 7 = 27 - 7 = 20

7y - 7 = 3y + 5

7y - 3y = 7 + 5

4y = 12

y = 12/4

y = 3

BC = 7y - 7 = 7*3 - 7= 21 - 7 = 14


Related Questions

Madison was given a large box of 42 chocolates for her birthday. If she eats exactly 5
chocolates each day, how many chocolates would Madison have remaining 5 days
after her birthday?

Answers

Answer:25

Step-by-step explanation: bc 5 x 5 =25

Answer:17 chocolates left

Step-by-step explanation:

5x5= 25

42 - 25 = 17

hopefully this helps

A is the center of the circle, and the length of CD is 15 centimeters.
1. Select a segment that is a radius.

Answers

Answer:

All answers expect CD

Step-by-step explanation:

A circle is a shape that has a fixed point(called the center) that is equal from any point on the circle arc. A radius is from the center of the circle to the circumference( the circle's arc) and is half of the diameter.. Using those logic, AC,AD  are a radius  because it half of diameter,  AE, AG, AB are one because it goes from the center of the circle to its point on the circle arc. C

CD is the diameter.

All but expect CD sorry if I’m late to this

X^3 + 4x^2 - 11x - 30 = (x+2) (x-3) (x+5)=0

Answers

Answer:

STEP   1

Equation at the end of step 1

 (((x3) -  22x2) -  11x) +  30

STEP  2

Checking for a perfect cube

2.1    x3-4x2-11x+30  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3-4x2-11x+30  

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  -11x+30  

Group 2:  x3-4x2  

Pull out from each group separately :

Group 1:   (-11x+30) • (1) = (11x-30) • (-1)

Group 2:   (x-4) • (x2)

Which gives the prices in order, from least to greatest

Answers

Answer:

is there a picture to go with the problem?

Lee read 1/6 of book on monday and another 1/3 of it on tuesday ,he took another 4 days to finish reading the book he read the same number of pages on each of the days ,what fraction of the book did he read on each of these days?

Answers

Answer:

1/8

Step-by-step explanation:

Let

The total fraction of the book read = 1

The remaining 4 days be represented as= x

Hence:

1 = Fraction of book read on Monday + Fraction of the book read on Tuesday + Fraction of the book on the remaining 4 days

1 = 1/6+ 1/3 + x

x = 1 - (1/6+ 1/3)

x = 1 - (1 + 2/6)

x = 1 - (3/6)

x = 1 - 1/2

x = 1/2

The fraction of the book read in 4 days = 1/2

To calculate the fraction of the book read on each of the days, since he read the same number of pages on each of the days we have:

1/2 ÷ 4 days

= 1/2 × 1/4

= 1/8

Therefore, the fraction of the book that was read on each of the 4 days is 1/8

y=−34x 2 +1542x−10037

Answers

Answer:

10105

1542

Step-by-step explanation:

3 1/4 - 4 1/2 show your work

Answers

If I did the math correct, the answer is -1 1/4, i'll attach a ss in a second.

please help me!!!!!

one month Ahmad rented 3 movies and 5 video games for a total of $42. The next Month he rented 9 movies and 7 video games for a total of $72 . find the rental cost for each movie in each video game ​

Answers

Answer:

The rental cost of one movie is $2.25 and the rental cost of one video game is $6.25

Step-by-step explanation:

Let the rental cost of 1 movie be m.

Let the rental cost of 1 video game be v.

Step-by-step explanation:

1.2^a x 2^5 =2^0

a=?

Answers

Answer:

One thing that is unclear here is whether the "1." at the start is part of the number "1.2" or if it is an enumeration of the question, and the base raised to the exponent is in fact 2.

The rest of the equation seems to indicate the latter, so we'll solve both:

If 1.2ᵃ ₓ 2⁵ = 2⁰, then a is approximately equal to -19.009.

If as I'm guessing is the correct question, 2ᵃ ₓ 2⁵ = 2⁰, then a is equal to -5.

Step-by-step explanation:

Interpretation #1:

[tex]1.2^a \times 2^5 = 2^0\\1.2^a \times 32 = 1\\1.2^a = \frac{1}{32}\\log_{1.2} \frac{1}{32} = a\\a \approx -19.009[/tex]

Interpretation #2:

Here the question is much simpler, as we need only add the exponents when adding and dividing:

[tex]2^a \times 2^5 = 2^0\\2^a = 2^0 \div2^5\\2^a = 2^{-5}\\a = -5[/tex]

Multiplying binomials using area model.

Answers

Answer:

4x²+35x+24

Step-by-step explanation:

FOIL the binomials and simplify

4x^2 + 35x + 24

That's all I know.

A grocery store sells tangerines in 25kg bags. A customer bought 4 kg of tangerines for a school party. How many bags did he buy? 1.Select all equations that represent the situation.a.4⋅25=?b.?⋅25=4c.25÷4=?d.4÷25=?e.?÷25=

Answers

Answer:

[tex]\frac{4}{25}[/tex] of a bag.

Step-by-step explanation:

Find the value of 64 3/2

Answers

Answer:

65 1/2 or 65.5

Step-by-step explanation:

3/2 = 1.5 or 1 1/2

Answer:

65 1/2

Step-by-step explanation:

What is the distance from C to D?

A. 5 units
B. 1 unit
C. 25 units
D. 7 units

Answers

Answer:

Option A

Step-by-step explanation:

According to the distance formula , for any 2 points P & Q whose coordinates are (x¹ , y¹) and (x² , y²) respectively. So ,

[tex]PQ = \sqrt{(x^{2} - x^{1} )^{2} + (y^{2} - y^{1})^{2} }[/tex]

NOTE = HERE x² , y² DOESN'T MEAN THE SQUARES OF x & y . THEY ARE JUST COORDINATES.

According to the question ,

Coordinate of C = (2 , -1)

Coordinate of D = (5 , 3)

Using distance formula ,

[tex]CD = \sqrt{(5-2)^{2} + (3 -(-1))^{2} }[/tex]

[tex]=> CD = \sqrt{3^{2} + 4^{2} } = \sqrt{9 + 16} = \sqrt{25} = 5[/tex]

Write the equation of the line in slope-intercept from:
1. Point:(2,3) slope: 4
2. Point:(1,4) slope:-2
3. Point:(-2,5) point:(0,3)
4. Point:(7,0) point:(3,-3)
If you do this, you’ll be the greatest person in the world!

Answers

Answer:

1. 4x - 5

2. -2x + 6

3. x + 3

4. 4/3x - 5

Step-by-step explanation:

I used a calculator and my math skills :)

The parent function of the function g(x) = (x – h)2 + k is f(x) = x2. The vertex of the function g(x) is located
at (9, –8). What are the values of h and k?

Answers

9514 1404 393

Answer:

  (h, k) = (9, -8)

Step-by-step explanation:

The function g(x) is "vertex form" for a quadratic whose vertex is (h, k). We are told the vertex is (9, -8), so we have ...

  (h, k) = (9, -8) . . . . the values of h and k

find f(-3) f(x) = 4x+7​

Answers

Answer:

-5

Step-by-step explanation:

4(-3) + 7

-12+7

Answer:

f(-3) = -5

Step-by-step explanation:

f(x) = 4x + 7

f(-3) = 4(-3) + 7

f(-3) = -12 + 7

f(-3) = -5

What is the radius if you drew a new circle with a scale facter of 3

Answers

Answer:

it is 5

20-5-10=5 and there is your answer

A spinner has 3 yellow and 5 blue sections of equal size. A friend says the probability of getting a blue is 5:3. Describe and correct the error.

Answers

Answer:

5:8

Step-by-step explanation:

You have to combine the yellow and blue then put the blue amount in front.

Which equation shows this formula solved for m?
P=5(m+10) need help asap will give brainest
a. m=[tex]m=\frac{p-5}{10}[/tex]
b.m=[tex]\frac{p}{5}-50[/tex]
c.m=[tex]\frac{p-50}{5}[/tex]
d.m=5p-50

Answers

Answer:

viariables

Step-by-step explanation:

Select ALL the correct answers.

Which equations have a greater unit rate than the rate represented in the table?

Y= 5/7x
Y= 3/4x
Y= 1/3x
Y= 7/9x
Y= 7/11x

Answers

Answer:

y = 5/7 x

y = 7/9 x

y = 3/4 x

Step-by-step explanation:

Firstly, let us get the unit rate on the table

That would be;

y/x = 2/3

y = (2/3)x

so the fractions greater than 2/3 will

be our answer

3/4 is greater

7/9 is greater

5/7 is greater


Phyllis has $1,400 in her savings account. If the bank pays 2.25% interest per year
on savings, how much interest does she earn in one year?

Answers

Answer:

1400/100 x 2.25 = $31.50

how many feet tall is the building ​

Answers

Answer:

Height of the building = 77 ft.

Step-by-step explanation:

Let the height of the building (AB) = h feet

It's given that height of a woman (ED) = 5 feet 3 inches

                                                              ≈ 5 feet + [tex]\frac{3}{12}[/tex] ft

                                                              ≈ 5.25 ft

Length of the shadow (BC) of the building = 55 ft

Length of the shadow (DC) of the woman = 45 in ≈ 3.75 ft

Since, both the triangles ABC and EDC are similar, their corresponding sides will be proportional.

By the property of similar triangles,

[tex]\frac{AB}{ED}= \frac{BC}{DC}[/tex]

[tex]\frac{h}{5.25}=\frac{55}{3.75}[/tex]

h = [tex]\frac{55\times 5.25}{3.75}[/tex]

h = 77 ft

Therefore, height of the building will be 77 ft.

The current flow to a transformer's primary circuit measures 16 amps. The transsformer's secondary current measures 80 amps. What the transformer's turns ratio?

Answers

Answer:

1/5

Step-by-step explanation:

The transformer formula is as expressed as

Ns/Np= Ip/Is

Ns and Np are the number of turns in the secondary and primary coil respectively

is and Ip are the currents in the secondary and primary coil respectively

Given the following

Ip = 16A

Is = 80A

Substitute into the formula

Ns/Np = 16/80

Ns/Np = 1/5

Hence the transformer's turn ratio is 1/5

Answer: for pf, 1:5 is WRONG!

Step-by-step explanation:

Your thrteater company sells tickets to their holiday showing off the nutcracker. Tickets cost $5 each. Tickets for adults cost $8 each. The total sales on opening night is $720. Write an equation to show the total sales as a combanation of kid tickets and adult tickets sold.

Answers

Answer:

5x + 8y = 720

Step-by-step explanation:

Let the :

Number of kid tickets sold = x

Number of adult tickets sold = y

Hence:

Tickets for kids cost $5 each.

Tickets for adults cost $8 each.

The total sales on opening night is $720.

The equation to show the total sales as a combanation of kid tickets and adult tickets sold is:

$5 × x + $8 × y = $720

5x + 8y = 720

Therefore, the equation to show the total sales as a combanation of kid tickets and adult tickets sold is

5x + 8y = 720


I really need help with this question thanks

Answers

Answer:

12.12

Step-by-step explanation:

SO its A special right triangle which means its. 30,60,90 triangle

we know the bigger leg is 14

so we divide that by 2 since

leg 1 = Unknown (y)

leg 2= 2y=14

Since leg 1 is basically half of leg 2, we divide leg 2 by 2 and get 7

now for the hypotenuse Its just y√3 so in this case y is 7

SO when solved 7√3 you’d get 12.12 rounded  

i need help finding z and y pls

Answers

Answer: i believe Z=115 and Y=30

Step-by-step explanation: again im sorry if its wrong. but im pretty sure theyre not.

A rectangle has an area of 36 square centimeters. The width of the rectangle is 4 centimeters.
What is the length of the rectangle?

Answers

A=lw
A/w=l
36/4=l
9=l
The length of the rectangle is 9cm

solve for x 2|x|+5=11

Answers

Answer:

Solve for x over the real numbers:

abs(x) = 3

Hint: | Eliminate the absolute value.

Split the equation into two possible cases:

Answer: x = 3 or x = -3

Step-by-step explanation:

Five-eights of the sixth grade students at clearview middle school buy their lunch. If 256 students buy their lunch, how many sixth grade students are there

Answers

Answer: 409.6

Step-by-step explanation:

Let the total number of sixth grade students be represented by x.

We are further told that 5/8 of the sixth grade students at clearview middle school buy their lunch which was about 256 students. We can represent this into an equation as:

5/8 × x = 256

0.625x = 256

x = 256/0.625

x = 409.6


In a video store, a DVD that sells for $20 is marked down to $14. What is the
percent discount? *
Explain how you got your answer.

Answers

30% because each dollar is five percent so 20-14=6 6*5=30 hope the helps
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