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

2. You and 5 friends went out to eat at Little Italy.
The bill was split equally and each person paid
$13.26. Write and solve an equation to find the
amount of the total bill.

Answers

Answer:

13.26 * 6 =79.56

Step-by-step explanation:

The answer is 79.56$ total bill
There are 6 people and each paid 13.26 and 13.26x6=79.56

URGENT PLEASE HELP!
Explain the steps you would take to graph 2x-3y>15.

Answers

Answer:

y>5−2x/3

Step-by-step explanation:

Can some one solve 2 I’ll give a crown

Answers

Answer:

Hi! The correct answer is 16!

Step-by-step explanation:

~Use the formula (b/2)^2 in order to create a new term to complete the square~

Answer:

the answer is option : c 16

a motorboat takes 5 hours to travel 150 Miles going Upstream. the return trip takes 3 hours going Downstream .what is the rate of the boat in still water and what is the rate of the current ?​

Answers

Answer:

Speed of boat in still water = 40 mph

Rate of current = 10 mph

Step-by-step explanation:

Let the speed of boat in still water be x & let the speed of the stream be y.

Total Distance = 150 miles

Time taken to travel during upstream = 5 hrs

Speed of the boat during upstream = [tex]\frac{150}{5} = 30\:mph[/tex]

Speed of boat during upstream can be represented as [tex]x - y = 30[/tex] because the boat is moving in the opposite direction of flow of stream.

Time taken to travel during downstream = 3 hrs

Speed of boat during downstream = [tex]\frac{150}{3} = 50\:mph[/tex]

Speed of boat during downstream can be represented as [tex]x+y=50[/tex] because the boat is moving in the same direction of flow of stream.

We got a pair of linear eqns. Let  [tex]x-y=30[/tex] be eqn.1 and [tex]x+y=50[/tex] be eqn.2 . Using substitution method ,

From eqn.1 , [tex]x-y=30[/tex]

[tex]=> x = y + 30[/tex]

Putting 'x' in eqn.2 , [tex]x + y = 50[/tex]

[tex]=> y + 30 + y = 50[/tex]

[tex]=> y + y = 50-30[/tex]

[tex]=> 2y = 20[/tex]

[tex]=> y = \frac{20}{2} = 10\: mph[/tex]

Putting y in eqn.1 ,

[tex]x - 10 = 30[/tex]

[tex]=> x = 30 + 10 = 40 \:mph[/tex]

Hence , the speed of boat in still water is 40 mph and speed of stream is 10 mph

Randy owns 120 baseball cards, and Phil owns 95 baseball cards. The number of baseball cards Davis owns is equal to 5 times the difference between Randy's number of cards and Phil's. How many cards does Davis own?

A. 25 cards
B. 30 cards
C. 125 cards
D. 150 cards

Answers

Answer:

125

Step-by-step explanation:

First you want to find out the difference between Randy and Phil:

120 - 95 = 25

Then, multiply that by five:

25 × 5 = 125

Hope this helps

Answer:

Davis owns 125 cards

Step-by-step explanation:

120 - 90 =  25 x 5 = 125

please help!!! ill give brainliest

Answers

Answer:

Step-by-step explanation:

divide the number then add on

You can solve this using the Quadratic Formula, x =.

a = 1, b = -12, c = 59

x =    Multiply 4 and 1

x =    Multiply 2 and 1

x =    Multiply -4 and 59

x =    Square 12

x =    Subtract

x =    You can't find the square root of negatives, so factor the -92 out.

x =    You can find the square of 4, so take that out.

x =    Split the expression into two parts

x =  (+ or -)    The 2 in the numerator and the 2 in the denominator cancel each other out

x =  (+ or -)    Divide 12 by 2

x = 6 (+ or -)    Now, split the solution into the plus and minus parts.

In the diagram below, line RCBT and △ABC are shown with m∠A = 60 and m∠ABT = 125. What is the m∠ACR?


1.125°
2.115°
3.65°
4.55°

Answers

Answer:

3.) 65

Step-by-step explanation:

180-125=55

55+60= 115

a triangle equals 180

180-115=65

The sum of all the angles in a triangle is 180 degrees.

The value of the m∠ACR is 65°.

Option 3 is the correct answer.

What is the sum of angles in a triangle?

The sum of all the angles in a triangle is 180 degrees.

We have,

Line RCBT and ΔABC.

From the diagram, we see that,

In ΔABC,

m∠A + m∠B + m∠C = 180 ___(1)

m∠CBT = 180

m∠CBA + m∠ABT = 180

m∠CBA + 125 = 180

m∠CBA = 180 - 125

m∠CBA = m∠B = 55 ____(2)

m∠BCR = 180

m∠BCA + m∠ACR = 180 ____(3)

From (1) and (2) we get,

m∠A + m∠B + m∠C = 180

60 + 155 + m∠C = 180

m∠C = 180 - 60 - 55

m∠C = 65 ____(4)

From (4) we get,

m∠ACR = 65

Thus,

The value of the m∠ACR is 65°.

Option 3 is the correct answer.

Learn more about angles here:

https://brainly.com/question/28793979

#SPJ2

Type the correct answer in the box. Use numerals instead of wc
The length of each side of a square increases by 2.5 inches to
original square was
inches.
Question serial: FIB-3A42-E542-4CD6
P

Answers

Answer:

me dont know solve it your self HAHAHHH loser

Step-by-step explanation:

Evaluate the function when x=−2, 0, and 5. g(x)=3x−2

Answers

I hope this helps....

x=-2
g(-2)= 3(-2)-2
= -6-2
g(-2)= -8

x=0
g(0)= 3(0)-2
=-2

x=5
g(5)=3(5)-2
g(5)=13

The values of the given function for x=-2, 0 and 5 are -8, -2 and 13 respectively.

The given function is g(x)=3x-2.

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.

Put x=-2 in the given function, we get

g(-2)=3(-2)-2

= -6-2

= -8

Put x=0 in the given function, we get

g(0)=3(0)-2

= -2

Put x=5 in the given function, we get

g(5)=3(5)-2

= 15-2

= 13

Therefore, the values of the given function for x=-2, 0 and 5 are -8, -2 and 13 respectively.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

can
Someone
Help
Me

Answers

Answer:

slope is -3

Step-by-step explanation:

slope formula m= rise/run= y2-y1/x2-x1

Which is a like radical to 3sqrt54 after simplifying?​

Answers

Answer:

Step-by-step explanation:

r4345456r776i7o7865

Answer:

[tex]\sqrt[3]{54}[/tex] = 3 [tex]\sqrt[3]{2}[/tex]

Step-by-step explanation:

this is the radical after simplifying

Find the distance between point A and point B. Round your answer to the nearest tenth (one place after the decimal). *

Answers

Answer:

The distance of two points  = 6 √2 = 8.4852

Step-by-step explanation:

Explanation:-

From the graph

Given points are  A ( 4,2) and B ( -2 , -4)  

The distance formula

       = [tex]\sqrt{(x_{2} -x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]

( x₁ , y₁ ) = ( 4,2 )   and (x₂ , y₂) = ( -2 , -4)

The distance formula

       = [tex]\sqrt{(x_{2} -x_{1})^{2} + (y_{2} - y_{1})^{2} }[/tex]

     =[tex]\sqrt{(-2 -(4))^{2} + (-4 - (2))^{2} }[/tex]

  =   [tex]\sqrt{36+36} = \sqrt{72} = 6\sqrt{2}[/tex]

Final answer:-

The distance of two points  = 6 √2 = 8.4852

Pls help and show workings due ASAP

Answers

Answer:

A

Step-by-step explanation:

By triangle inequality,

L < 15+6

15 < L+6

6 < L+15

Solving these, we get 9 < L < 21.

Only 10 falls within the range.

The answer is therefore 10cm i.e. A.

Meryl needs to cut down 10.5 trees for every 5 cabins she builds.

Complete the table using equivalent ratios.

Number of trees Number of cabins

10.5 5
__ 3
__ 7

Answers

Answer:

for seven cabins it should be 14.7 trees, im not sure about 3 cabins, sorry :(

Answer:

3) 6.3

7) 14.7

Step-by-step explanation:

Use ratios to solve the table

10.5/5 = x/3

cross multiply

31.5 = 5x

x = 6.3

10.5/5 = x/7

73.5 = 5x

x = 14.7

what is the solution to the system of equations?
A. (-7, -6)
B. (-6, -7)
C. (0, 2)
D. (2, -5)

Answers

Answer: B.

Step-by-step explanation:

Urgent please help, will give brainliest

Answers

Answer:

the answer is x=9

Step-by-step explanation:

Step-by-step explanation:

the answer was x=9 wish you luck on your homework and tests

25 penalties decreased by 32% is
penalties.

Answers

25-32%=17
hope this helped :)

Answer:17

Step-by-step explanation:

B(3x -4) A(9x + 17) C(6x -31) solve for all angles

Answers

Answer:

11

Step-by-step explanation:

Don't worry I just know

All of the following expressions represent the sum of n and itself, except _____.

a.n + n
b.2n
c.n2

Answers

The correct answer is C. n2
c) n2 , would be the answer

solve for x 8/x +1/5 = 3/x

Answers

Answer:

I think x=-25

Step-by-step explanation:

Jack rode a bike through a new in the path shown at the right. If Jack took an average of 2 pictures per mile, how many pictures did Jack take on his bike ride?

Answers

Answer:

Jack took 10 pictures on his bike ride.

Step-by-step explanation:

Given that:

Given measurements of sides are 3 miles and 4 miles

We will find the distance of the new route by using Pythagorean theorem.

[tex]a^2+b^2=c^2[/tex]

(3)² + (4)² = c²

9 + 16 = c²

25 = c²

c² = 25

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{25}\\c=5[/tex]

The distance of new route = 5 miles

Picture taken per mile = 2

Picture taken on bike ride = 2*5 = 10 pictures

Hence,

Jack took 10 pictures on his bike ride.

Find the value of x
a. 65
b. 48.7
c. 77
d. 39.3

Answers

Answer:

65 but I not really to sure so A

I need help I’m failing

Answers

Answer:

D

Divide both by 3

Step-by-step explanation:

The answer is d hope that helps

Help please I need help on this problem,appreciate it :)

Rewrite (squareroot n^5 p^8)
as an exponential expression

Answers

Answer:

the answer is the option : D

I need help it’s hard

Answers

Nolur acil lütfen yalvarırım yalvarırım
it is it not it is are not is it for it okomg 20

Please help me I need it!!!!

Answers

Answer:

d

Step-by-step explanation:

because it starts off under the water which is -24 then you add a positive 24 to get to sea level

Answer:

the distance above sea level after increasing  24 meters from a depth of 24 meters below sea level

Step-by-step explanation:

equation- -24m + 24m = 0

the answer to the first one is -10 (-5 - 5 - -10)

the answer to the second one is 1,000 (0 + 1,000 = 1,000)

the answer to the third one is 10 ( 20 - 10 = 10)

the answer to the fourth one is 0 (-24 + 24 = 0)

Which point represents the ordered pair (-1.1,0.2)?
Point B
Point A
Point C
A
.
B
Point D
0

Answers

Answer: is point B

Step-by-step explanation:

Answer:

Step-by-step explanation:

the answer is B

y=(1/3)•(16)x
a.Exponential growth
b.Exponential Decay

Answers

Answer:

the answer should be A for this question

the point 2,1 is the turning point of the graph with the equation y=x^2+ax+b

Answers

Answer:

14‏/12‏/2019 — However, we know that the line passes through two known points with x and y coordinates. ... The equation of a curve is y = x^2 + ax + b where a and b are integers. ... x2 (or second order polynomial) graphs are symmetrical about their turning point ... Therefore, we know that the line intercepts the x-axis at (-1,0) and (5,0).

Step-by-step explanation:

Answer:

a = -4, b = 3

Step-by-step explanation:

sorry, im a bit late but hoping to help others that need the answer.

when you complete the square for a quadratic, you r answer can come in the form (x+p)^2+q.

in this form, p is the opposite of the x coordinate.

and q is the same as the y coordinate.

to get p and q from this, we find the opposite of the x coordinate and use the y coordinate we are given, and plug them into this equation.

we get: (x-2)^2+1

lets complete the equation now.

(x-2)^2 = x^2 - 4x + 4, then add the one we left out = x^2 - 4x + 5.

now our equation is in the same format as y=x^2+ax+b so we can just pull out the A and B which gives us:

A = -4

B = 5

if i am wrong please feel free to correct me, ty.

If m∠2 = 120°, what is m∠7?

Answers

420°
~
120/2=60
60*7=420
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