Please Help!!! Examine parallelogram ABCD. Opposite sides AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ have lengths of 4y and y+42, respectively. Determine the value of y and answer the following question. Quadrilateral A B C D with side measures as given in the problem. What is the length of AB¯¯¯¯¯¯¯¯?

Please Help!!! Examine Parallelogram ABCD. Opposite Sides AB And CD Have Lengths Of 4y And Y+42, Respectively.

Answers

Answer 1

Answer:

y = 14

Length of AB = 56 units

Step-by-step Explanation:

==>Given:

Parallelogram ABCD, with the following lengths:

AB = 4y

DC = y + 42

==>Required:

a. Value of y

b. Length of AB

==>Solution:

i. Recall that one of the properties of a parallelogram is that opposite sides are congruent. This implies that side AB is congruent to DC.

To find the value of y, let's set the opposite sides of the parallelogram equal to each other (i.e. AB = DC)

Thus,

4y = y + 42

Subtract y from both sides

4y - y = y + 42 - y

3y = 42

Divide both sides by 3

3y/3 = 42/3

y = 14

ii. Length of AB = 4y

Plug the value of y

Length of AB = 4(14)

Length of AB = 56 units


Related Questions

If f(x) = 5x + 40, what is f(x) when x = –5? pls help a. -9 b. -8 c. 7 d, 15

Answers

Answer:

D.

Step-by-step explanation:

f(5) = -25 + 40

f(5) = 15

Answer:

The answer is D) 15

Step-by-step explanation:

F(x)= 5x + 40 (substitute -5 for x)

= F(x)= 5(-5)+ 40

= F(x)= -25+40

F(x)= 15            

Which graph represents an odd function? On a coordinate plane, a function has two curves. The first curve is in quadrants 2 and 3 and has a minimum value of (negative 1, negative 3). The curve intersects the x-axis at (negative 2, 0) and goes to (0, 0). The second curve is in quadrants 1 and 4 and has a minimum value of (1, negative 3). The curve starts at (0, 0) and intercepts the x-axis at (2, 0). On a coordinate plane, a curved line crosses the x-axis at (negative 4, 0), (0, 0), and (4, 0). On a coordinate plane, a v-shaped function opens up. The function goes through (0, 2), has a vertex at (2, 0), and goes through (5, 3). On a coordinate plane, a curve has a maximum point at (0.5, 1) and a minimum point at (2, 0). The curve goes through points (0, 0) and (3, 4).

Answers

Answer:

  On a coordinate plane, a curved line crosses the x-axis at (negative 4, 0), (0, 0), and (4, 0)

Step-by-step explanation:

An odd function is symmetrical about the origin. It will satisfy the relation ...

  f(-x) = -f(x)

Of the given points, the set that is symmetrical about the origin is found on the 3rd graph:

  (-4, 0), (0, 0), (4, 0)

Answer:

B on edge

Step-by-step explanation:

took the test

A single story house is to be built on a rectangular lot 70 feet wide by 100 feet deep. The shorter side of the lot is along the street. The house must be set back 30 feet from the street. It also must be 20 feet from the back lot line and 10 feet from each side lot line. What is the greatest area that the house can have, in sq feet?

Answers

Answer:

250 sq ft

Step-by-step explanation:

Since the shorter side is along the street and the setback is 10ft from each side, the house is 50 ft wide

and 100 -20 -30 = 50 ft long

50 x 50 = 250 sq ft

The greatest area of the given house is 2500 square feet.

What is the area of the rectangle?

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

To find the greatest area that the house can have, you need to determine the dimensions of the house.

The width of the house will be the distance between the two side lot lines, which is 70 feet - 10 feet - 10 feet = 50 feet.

The depth of the house will be the distance between the front and back lot lines, which is 100 feet - 30 feet - 20 feet = 50 feet.

The area of the house is :

50 feet x 50 feet = 2500 sq feet.

This is the greatest area that the house can have.

Learn more about the Area of the rectangle here:

brainly.com/question/20693059

#SPJ2

A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds. The motorcycle then travels at a constant speed of 1.2u m/s for 15 seconds. Assuming that the acceleration is constant, express the total distance, D in metres, traveled by the motorcycle.

Answers

Answer:

Step-by-step explanation:

A motorcycle has an initial speed of u m/s. It accelerates to a speed of 1.2u in 10 seconds

V = U + at

1.2u  = u  + a*10

=> a = 0.02u

S= ut + (1/2)at²

Distance in 1st 10 secs

S = u(10) + (1/2)(0.02)(10)²

=> S = 10u + u

=>  S = 11u  m

Constant speed 1.2u for 15 secs

S = 1.2u * 15

=> S = 18u m

Total Distance Covered d  = 11u + 18u = 29u  m

Find the value of z and
simplify completely.

Answers

Answer:

z = 6√2 = 8.49

Step-by-step explanation:

In this question, we are to find the value of the length z.

Mathematically, using Pythagoras’s theorem we can do this.

The Pythagoras’ theorem states that the square of the length of the hypotenuse equals the sum of the length of the squares of the two other sides.

Kindly note that the hypotenuse is the side that faces the angle 90

These are the points needed to solve for z

Using Pythagoras,

z^2 = y^2 + 4^2

z^2 = y^2 + 16 •••••••(i)

x^2 + z^2 = 20^2

x^2 + z^2 = 400 •••••••••(ii)

z^2 + 16^2 = x^2. ••••••••(iii)

Substitute iii into ii

z^2 + 16^2 + z^2 = 400

2z^2 + 256 = 400

2z^2 = 400-256

2z^2 = 144

z^2 = 72

z = √(72)

z = 6√2

Answer:

4[tex]\sqrt{5}[/tex]

Step-by-step explanation:

Need help with this question plz

Answers

I think the answer is C

I need to match each one to each other

Answers

Answer

speed : metres per second (a)

perimeter : meters (b)

volume : cubic centimetres (d)

area : square metres (c)

What is the inverse of the function f(x) =1/4x – 12?

Answers

Answer:

f(x) = 4x + 48

Step-by-step explanation:

Replace the positions of x and y and isolate y to find the inverse of a function.

y = 1/4x – 12

x = 1/4y – 12

x + 12 = y/4

4(x + 12) = y

4x + 48 = y

f(x) = 4x + 48

Select the correct answer.
What is the sum of
-6 4/5 and 6 4/5?
A. 12 4/5
B. 29/5
C. 0
D. -12 4/5

Answers

Answer:

0

Step-by-step explanation:

got it right on plato

Answer:

0

Step-by-step explanation:

hopes this helps may yall like and give me 5 stars

In football seasons, a team gets 3 points for a win, 1 point for a draw and 0 points for a loss. In a particular season, a team played 34 games and lost 6 games. If the team had a total of 70 points at the end of the season, what is the difference between games won and games lost?

Answers

Answer:

The difference between games won and games lost is 15.

Step-by-step explanation:

Since the team played 34 games and lost 6, the number of games where they got points is 28, therefore the number of wins plus draws, must be equal to that:

[tex]win + draws = 28[/tex]

Since each win values 3 points, while each draw values 1 point, then the number of points earned is given by:

[tex]3*win + draws = 70\\[/tex]

We now have a system of equations, which we can solve.

[tex]win + draws = 28\\3*win + draws = 70\\[/tex]

Multiplying the first equation by -1:

[tex]-win- draws = -28\\3*win + draws = 70[/tex]

Adding both equations:

[tex]2*win = 42\\win = 21[/tex]

Since the team won 21 games and lost 6, the difference is 15.

A family pays $8.00 to park at a concert. Tickets for the concert cost $13.50 per person. The family spent a total of $89.00 for parking fees and tickets to the concert. The situation can be modeled by the equation 89 = 13.5n + 8, where n represents the number of tickets purchased. How many concert tickets did the family purchase? Tickets=

Answers

Answer:

n=6

Step-by-step explanation:

13.5n + 8 = 89

13.5n = 89 - 8

13.5n = 81

13.5n/13.5 = 81/13.5

n = 6

I hope this helps

Answer:

n=6

Step-by-step explanation:

i did it on edg 2020

what is the c value?
answer in x= form

Answers

x form =-1+√21,-1-√21

PLZ HLP MEEEEEEEEE the A's in the Similar Postulate stand for _________.

Answers

Answer:

Angle

Step-by-step explanation:

It stands for angle

Step by step step explanation

PLS HELP ME!!!! ASAP I WILL MARK BRAINLIEST!!!!!!

Answers

Answer:

(-3)^3 x^5

Step-by-step explanation:

x*x*x*x*x *(-3)*(-3)*(-3)

There are 5 x terms

x^5

There are 3 (-3) terms

(-3)^3

Multiply theses together

(-3)^3 x^5

The right answer is (-3)^3 x^5

please see the attached picture for full solution

hope it helps...

Good luck on your assignment..

What is d, the common difference, in the arithmetic sequence 100, 98, 96, 94, 92, ...?
-1
Ο 2
Ο Ο Ο Ο.
-2
Ο 100

Answers

Answer:

-2

Step-by-step explanation:

Juan recorded the number of pages each student read this week. His data are shown: 73, 79, 81, 50, 72, 112, 83, 76, 75, 80, 81 How many outliers do Juan’s data have?
a.0
b.1
c.2
d.3

Answers

Answer:

2

Step-by-step explanation:

50 and 112 are significantly different from the other data

Which is the solution to the inequality?

Answers

Answer:

C

Step-by-step explanation:

y is greater than or equal to 14.

Answer:

Option C

y _> 14

Step-by-step explanation:

here, y is greater than or equal to 14

HELP ASAP
15 POINTS
If the plane intersects the cylinder vertically along an edge of the cylinder, the cross section is

A. Circle
B. Line
C. Rectangle
D. Oval

Answers

Answer:

Option C.

Step-by-step explanation:

Cross section: In three-dimensional space, the non-empty intersection of a solid body and a plane is known as cross section.

A cylinder has two circular plane surface called edges (top and bottom) and curved surface.

If the plane intersects the cylinder vertically along an edge of the cylinder, then the plane is perpendicular to both edges and we get two pairs of opposite sides which are equal.

It means, the cross section of plane and cylinder is a rectangle.

Therefore, the correct option is C.

Multiply. (3x - 2)(x + 5) A: 3x² + 17x - 7 B: 3x² + 17x - 10 C: 3x² + 13x - 10 D: 3x² + 6x - 7

Answers

Answer:

The answer is C.

Step-by-step explanation:

You have to use Ditributive Law,

[tex]a(m + n) = am + an[/tex]

So for this question :

[tex](3x - 2)(x + 5)[/tex]

[tex] = 3x(x) + 3x(5) - 2(x) - 2(5)[/tex]

[tex] = 3 {x}^{2} + 15x - 2x - 10[/tex]

[tex] = 3 {x}^{2} + 13x - 10[/tex]

Answer:

C. 3x^2+13x-10

Step-by-step explanation:

Just did this on A-pex

Good job CHERLYN

Hidaya runs each lap in 8 minutes. She will run less than 72 minutes today. What are the possible numbers of laps she will run today? Use n for the number of laps she will run today. Write your answer as an inequality solved for n.

Answers

Answer:

Step-by-step explanation:

n*8<72

:8     :8

n<72/8

n<9

n could be  1,2,3,4,5,6,7,8

A 350 m cable is attached to the top of the tower. The angle of elevation to the top of the tower is 60. How high is the tower in meters

Answers

Answer:

303

Step-by-step explanation:

sin 60 = x / 350

x = 350(sin60) = 303.1

Helpppp meeeeee plsssssss

Answers

Answer:

a)3⁴

b)7⁵

c)10²

d)5⁷

Step-by-step explanation:

a)3²×3² = 3^2+2=3⁴

b)7×7⁴=7¹×7⁴=7^1+4=7⁵

c)10⁹÷10⁷=10^9-7=10²

d)5⁸÷5=5⁸-5¹=5^8-1=5⁷

In your own words what is a polygon ​

Answers

Answer:

A polygon is a plane figure with at least three straight sides and angles, and typically five or more.

Step-by-step explanation:

A and B are two similar solids.
15 cm
10 cm
The volume of A is 400 cm.


Work out the volume of B.
Similarity - Area and Volume
View One Minute Version
Overview

Answers

Answer:

600cm3 the 3 is ment to be cubed

Step-by-step explanation:

£2200 is deposited in a bank paying 0.5% simple interest per annum. How much interest will have been paid after 18 years?

Answers

Answer:

The answer would be £198

principal (p) = 2200

Rate (R) = 0.5%

Time (T) = 18

Interest(I) = ?

Now,

or, Interest. = P×T×R/100

or, Interest = 2200×18×0.5/100

or, Interest = 19800/100

Hence, Interest = 198

6x^3-x^2 +17 = 2x^2 + 47

Answers

Answer:

Solve the rational equation by combining expressions and isolating the variable x

.

x≈1.89393154

Step-by-step explanation:

please mark brainly

Which of the following statements is/are true regarding the figure above?

Check all that apply.

A. It is a one-dimensional object.
B. It is a line segment.
C. It is a zero-dimensional object.
D. It is a point.​

Answers

B. It is a line segment.

If you solve this, you are a critical thinker:
Mr. Smith had 4 daughters. Each daughter had 4 brothers. How many kids does Mr. Smith have?​

Answers

General Formulas and ConceptsLogicCritical ThinkingAnalyzation

ApplicationStep 1: Define

Let's organize what the problem gives us:

Mr. Smith had 4 daughters.Each daughter had 4 brothers.We want to find how many kids Mr. Smith has.

Step 2: Work

We can already tell that the initial amount of kids Mr. Smith has before we factor in the brother count is equal to 4, for the 4 daughters that were stated as a given in the problem.

Now, the tricky part comes in the form of "each daughter had 4 brothers." Remember that within a family, everyone has the same siblings. It doesn't matter which family member's perspective you are looking from, but your siblings will always stay the same. We can show this with an example:

Suppose I had a family of 4 kids total. I had 2 daughters and 2 sons. Their names were Rose, Sakura, David, and Andrew. Rose would then have 3 siblings: Sakura, David, and Andrew. Sakura would also have 3 siblings: Rose, David, and Andrew, so on and so forth.

Applying this example and knowledge to our current problem, if Mr. Smith's daughters each had 4 brothers, then the total number of kids Mr. Smith has is 8 total kids (4 daughters + 4 sons) since each daughter's brother would be the same sibling.

This would be called double-counting if you counted that each daughter would have 4 different siblings, resulting in a false answer of 16 kids (4 daughters multiplied by 4 brothers for each daughter).

Answer

∴ Mr. Smith has 8 kids.

___

Topic: Math

Unit: ?

simplify 12a^7b^5/16a^2b^2

Answers

Answer:

[tex]\frac{12a^7b^5}{16a^2b^2}=\frac{3}{4} a^5b^3[/tex]

WILL MARK BRAINLIEST
The height (in feet) of a rocket launched from the ground is given by the function f(t) = -16t2 + 160t. Match each value of time elapsed (in seconds) after the rocket’s launch to the rocket's corresponding instantaneous velocity (in feet/second).

Answers

I assume you meant h(t) = 160t - 16t^2, as h(t) = 160t - 16t2 has no maximum.

There's two ways of solving this:

(i) By completing the square and finding the maximum turning point.

(ii) By using Calculus methods to find derivative and equating it to 0 in order to find maximum turning point.

(i) h(t) = 160t - 16t^2

h(t) = -16t^2 +160t

h(t) = -16(t^2-10t) (by taking out a common factor of -16)

h(t) = -16[(t-5)^2 - 25] (by completing the square)

h(t) = -16(t-5)^2 + 400 (on multiplying out by -16)

From this we see that the turning point is at (5;400), therefore the maximum height is 400 feet and is reached after 5 seconds.

Or...

(ii) h(t) = 160t - 16t^2

h`(t) = 160 - 32t (where h`(t) = derivative of h(t))

Now to find maximum of h(t), we set h`(t) = 0 and solve for t:

0 = 160 - 32t (on substituting h`(t) = 0)

32t = 160 (on solving for t)

t = 160/32 (on dividing both sides by 5)

t= 5

Now we have found that at 5 seconds, we will reach our maximum height. So to find this maximum height, we'll have to substitute t=5 into h(t) = 160t - 16t^2.

h(5) = 160(5) -16(5)^2

h(5) = 800 - 400

h(5) = 400 feet

So, once again we have shown that maximum height is 400 feet and is reached after 5 seconds.

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