Given parallelogram ABCD, find x, y, length AB and Length BC.

Given Parallelogram ABCD, Find X, Y, Length AB And Length BC.

Answers

Answer 1

Answer:

x = 18  y = 5

Step-by-step explanation:

x  + 5 = 2x - 13

x - 2x = -13 - 5

-x = -18

x = 18

2y - 2 = 4y - 12

2y - 4y = -12 + 2

-2y = -10|:(-2)

y = 5

Answer 2

Answer:

x = 18, y = 5, AB = 23, BC = 8

Step-by-step explanation:

The opposite sides of a parallelogram are equal, so

DC = AB , that is

2x - 13 = x + 5 ( subtract x from both sides )

x - 13 = 5 ( add 13 to both sides )

x = 18

and

BC = AD , that is

4y - 12 = 2y - 2 ( subtract 2y from both sides )

2y - 12 = - 2 ( add 12 to both sides )

2y = 10 ( divide both sides by 2 )

y = 5

Then

AB = x + 5 = 18 + 5 = 23

BC = 4y - 12 = 4(5) - 12 = 20 - 12 = 8


Related Questions

#32A.) A 3.5 pound package of hamburger costs $11.20.
A. what is the cost of one pound of hamburger?

B. if you did not write a proportion to answer question #32A. above, write a proportion that you could have used to answer question #32A.

Answers

A: Each pound costs $3.20

B: 11.20/3.5 = 3.20/1

Answer:

The cost of one pound of hamburger is $3.20.

Step-by-step explanation:

A)

11.20 ÷ 3.5

$3.20 per lb

B)

Write a proportion:

Variable x = cost per 1 lb

3.5/11.20 = 1/x

Cross multiply:

3.5 × x = 11.20 × 1

3.5x = 11.20

x = 3.2

$3.20 per lb

at a market 8 mangoes and 6 pears cost $25.00 and 4 mangoes and 8 pears cost$30.00. what is the cost of one mangoes

Answers

Answer:

the answer is 4.00 Yw for the help

Colleen is knitting a scarf. For every 45 pieces of blue yarn she uses, she uses 18 pieces of red yard. What equation can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf?

Answers

Given:

For every 45 pieces of blue yarn, Colleen uses 18 pieces of red yard.

To find:

The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf.

Solution:

We have,

Blue yarn = 45 pieces

Red yarn = 18 pieces

It is given that there is a proportional relationship between the amount of blue yarn, b, and red yard, r, that Colleen uses when knitting a scarf. So,

[tex]\dfrac{r}{b}=\dfrac{18}{45}[/tex]

[tex]\dfrac{r}{b}=\dfrac{2}{5}[/tex]

[tex]r=\dfrac{2}{5}b[/tex]

Therefore, the required equation is [tex]r=\dfrac{2}{5}b[/tex].

Find the slope of the line through the pair of points.

L(–9, 6), M(–1, –9)

Answers

Answer:

slope = y2 -y1/x2 -x1

= -9 - 6/-1 - (-9)

= -15/8

= -1.875

A video streaming company offers two monthly plans. Plan A: $3 per video viewed, plus a flat rate of $8 per month Plan B: $5 per video viewed and no additional flat rate Write an inequality to determine when the cost of viewing n videos using Plan A is less than the cost of viewing n videos using Plan B. Inequality: 3n + 8 [ Select ] 5n Plan A is less expensive when [ Select ] .

Answers

Answer:

3n + 8 < 5n

n > 4

Step-by-step explanation:

Let

n = cost of viewing videos

Plan A: $3 per video viewed, plus a flat rate of $8 per month

Total cost for plan A = 3n + 8

Plan B: $5 per video viewed and no additional flat rate

Total cost for plan B = 5n

Plan A is less than the cost of viewing n videos using Plan B

The inequality

3n + 8 < 5n

8 < 5n - 3n

8 < 2n

8/2 < n

4 < n

n > 4

What will be the multipicative inverse of -1/4??

Answers

Answer:

-4.

Step-by-step explanation:

Let x be the multiplicative inverse, then:

-1/4 * x = 1

x = 1 / (-1/4)

= 1 * -4

= -4.

Answer:

-4

Step-by-step explanation:

Uses the table to answer the question. The table shows the height data, in inches, for two types of dogs.

The difference, in inches, between the mean heights for the two types of dogs is ______ times the variation for either type.

A- 2

B- 3

C- 4

D- 5

Answers

C is the right answer I’m positive

A cylinder and a cone have the same volume. The cylinder has a radius of 8 inches and a height of 6 inches. The cone has a radius of 12 inches. What is the height of the cone?

Answers

Answer: [tex]8\ in.[/tex]

Step-by-step explanation:

Given

Radius and height of cylinder is 8 and 6 inches

Similarly the radius of cone is 12 inches

If they have same volume

Equate the volume of cylinder and cone

[tex]\Rightarrow \pi r^2h=\dfrac{1}{3}\pi r'^2h'\\\\\Rightarrow \pi \cdot 8^2\times 6=\dfrac{1}{3}\pi \cdot 12^2\times h\\\\\Rightarrow h=\dfrac{64\times 18}{144}\\\\\Rightarrow h=8\ in.[/tex]

Therefore , the height of cone is 8 in.

Find the slope of the line

Answers

Answer:

-4/3

Step-by-step explanation:

y2 - y1 / x2 - x1

-9 - (-1) / 0 - (-6)

-4/3

Find the length of the arc . Round your answer to the nearest hundredth

Answers

Answer:

Step-by-step explanation:

Because angle NRM is vertical to angle QRP, they are congruent. That means that arc NM is congruent to arc PQ, making arc MQ and arc NP congruent. That means that arc NP is also 162. Since the outside of a circle measures 360 regardless of how big or small the circle is, we can find the measures of arcs MN and PQ by doing some simple math.

Arc MN = Arc PQ = 360 - 162 - 162 = 36 and divide that in half to get

Arc MN = Arc PQ = 18°. As we all know, the measure of a central angle is congruent to the measure of the arc it intercepts, so the measure of angle NRM is 18°. That gives us the angle we need for the formula:

[tex]AL=\frac{\theta}{360}*2\pi r[/tex] where θ is the measure of the central angle, 18°:

[tex]AL=\frac{18}{360}(3.1415)(8)[/tex] which gives us

AL = 1.26 feet (Note: arc length is in distance measures, like feet, inches, meters, etc., while arc measure will always be in degrees!)

In this diagram, line dcuts three lines to form the angles shown.

Which two lines are parallel?

a and b

a and c

b and c

No lines are parallel

Answers

Answer:

No lines are parallel, hope this helped!!!

The angle formed by intersections are not the same thus non of the line will parallel so option (D) is correct.

What are parallel lines?

Two lines in the same plane that are equally spaced apart and never cross each other are said two lines in the same plane that are equally spaced apart and never cross each other to be parallel lines.

As per the given line and intersecting line.

Line d is making some angles with lines a,b, and c.

If any of the two lines amount a,b and c would parallel then the angle would be the same.

Since none of the angles is the same thus none of the given lines will be parallel.

Hence "Since intersections do not form an identical angle, no line will be parallel".

To learn more about parallel lines;

https://brainly.com/question/16701300

#SPJ2

What is the value of X? (giving brainliest and thanks to all!)

Answers

Answer:

I believe it is A

Step-by-step explanation:

I dont quite remember the formula, but I belive that 30 would be correct because if im remembering correctly the formulas are "a + b = c" and "c - (a/b) = (a/b)

a/b = a or b, depending what they give you

Answer:

45°

Step-by-step explanation:

This is a isosceles triangle and also a right triangle, so it means it have an 90° ingernal angle and the other two internal angles have the same value. Remember that the sum of the internal angles of a triangle is always 180°, so:

180° -90° = 90°

90°/2 = 45°

Hellopoooopppoo
Quickkkkkkkkkkkkkkk

Answers

Answer:

4.5 units

Step-by-step explanation:

PQ transferred to WX, and QR to XY.

PQ = 4, WX = 6, so the scaling factor x applies so that we create 6 or of 4 :

4 × x = 6

x = 6/4 = 3/2

the save scaling factor applies now to all other sides too due to the fact that the same transformation was done to the whole shape.

=> QR × 3/2 = XY.

3 × 3/2 = 9/2 = 4.5 = XY

I am confused please help

Answers

Answer:

the last equation

We need to divide by 4 on both sides to isolate the 6 as on the equation in the question

We need 4 on the side because

what is 1 1/5 x 3 4/5 x 1

Answers

Answer:

Step-by-step explanation:11/5 x 3 =6.6 4/5 x 1 =0.8

find the volume of each figure

Answers

Answer:

1)80m³

2)240in³

3)144 cm³

24. Find the volume of the pyramid. Round to the nearest hundredth if
necessary.
Please help

Answers

Answer:

Solution given:

volume of pyramid =⅓area of base×height

=⅓*1*1*1=⅓=0.33yd³

the volume of the pyramid

the volume of the pyramid0.33yd³

Two trucks leave a warehouse at the same​ time, traveling in opposite directions. The rate of the faster truck exceeds that of the slower truck by miles per hour. After ​hours, they are miles apart. What are the rates of the​ trucks? Use the table below to organize your work

Answers

Answer:

Speed of the slower truck = 57.5 miles/hour

Speed of the faster truck = 62.5 miles/hour

Step-by-step explanation:

Using missing information;

Assume;

Speed of the slower truck = a

Speed of the faster truck = a + 5

Distance traveled by the slower truck = d

Distance traveled by the faster truck = 600 - d

So,

a(5) = d ........ Eq1

(a+5)(5) = 600 - d

5a + 25 = 600 - d

So,

5a + 25 = 600 - 5a

10a = 575

a = 57.5

Speed of the slower truck = 57.5 miles/hour

Speed of the faster truck = a + 5

Speed of the faster truck = 57.5 + 5

Speed of the faster truck = 62.5 miles/hour

Solve for the unknown angle indicated by the variable m. Show all your steps.

Answers

Answer:

m = 70°

Step-by-step explanation:

∠IHA + ∠AHG = 180   {Linear pair}

∠IHA + 120   = 180

           ∠IHA = 180 - 120 = 60

In ΔABH ,

∠A + ∠AIH + ∠AHI = 180         {Angle sum property of triangle}

50 + ∠AIH + 60 = 180

       ∠AIH  + 110 = 180

              ∠AIH    = 180 - 110

∠AIH  = 70°

BG // CK and AD  is transversal,

m = ∠AIH                {Alternate interior angles}

m = 70°

What is the sum of the pink and green area?

Answers

Answer:

I think the answer is 11x

Answer:

11x

Step-by-step explanation:

Pink area  = 6x

Green area  = 5x

Total (sum) = 6x+5x =11x

Find the difference: 28y − 16y
A.
12y
B.
10y
C.
-44y
D.
-12y

Answers

The answer to the question is a bc 28 - 16 is 12

Answer:

A. [tex]12y[/tex]

Step-by-step explanation:

Subtract like normal 28 - 16 = 12

so then it's 12y

Please help me figure out the right answer and if you don’t know please don’t answer the question

Answers

Answer:

Figure A and C

Step-by-step explanation:

if the triangle shown is rotated 180 degrees about the origin, what are the coordinates of Point F?

Answers

Point F=(3;2) I think so

Hudson currently makes $18 per hour after taxes. He works 35 hours per week.
If Hudson works 52 weeks out of the year, how much money will he earn during
that time?

Answers

it's easy

18×35 to know how much in a week it will give you 630 after we know how much in a week we will do the same to know in a year 630×52=32760

what is the area of this please

Answers

133 square units

See attached pic below:

Divide shape into one square and one rectangle.

Find base of square:
17 - 13 = 4

Area of square(base x height OR side^2):
4 x 4 = 16
AREA- 16 square units

Area of rectangle (length x width):
13 x 9 = 117
AREA- 117 square units

ADD AREA OF SQUARE AND RECTANGLE TOGETHER:
117 + 16 = 133

FINAL ANSWER: 133 square units
Brainliest please! Have a nice day

If a car is moving at the speed of 60 miles per hour how many miles would a car travel i 120 minutes

Answers

Answer:

120 miles

Step-by-step explanation:

120minutes= 2hour

2×60÷1=120 (miles)

4) Find the measure of angle b

Answers

Answer:

43º

Step-by-step explanation:

full circle is 360

b = 360 - 209 - 108

b = 43

The factorization of
[tex] 4p {}^{2} + 49q {}^{2} + 1 - 28pq - 14q + 4p[/tex]
is​

Answers

4p^2 - 28pq + 49q^2 + 4p - 14q +1


4(-5)+9+11=12
-4(-5)-9-11=10
5(9)-11=9

True or False

Answers

Answer:

1) false

2)false

3)false

Step-by-step explanation:

it was done by a calculator so

(5p-6pq+2q) (2p2+372)expand. ​

Answers

Answer:

(7p_6pq+) 2p2+ 372 =11p_6pq+372

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