Which best explains if quadrilateral WXYZ can be a parallelogram?

Answers

Answer 1

A quadrilateral in which opposite sides are parallel is called a parallelogram. The correct option is A.

What is a parallelogram?

A quadrilateral in which opposite sides are parallel is called a parallelogram. Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

For a parallelogram, the pair of opposite sides are equal and parallel. Therefore,

1.)  For the first pair.

(x+8) = 15

x = 7

2.) For the second pair

(x+2)=(2x-5)

x + 2 = 2x - 5

2 + 5 = 2x - x

x = 7

(x+2) = (7+2) = 9

Since the measure of the pair of opposite sides is 15 units, the pair of the other two sides measure 9 units.

Hence, the correct option is A.

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Which Best Explains If Quadrilateral WXYZ Can Be A Parallelogram?

Related Questions

Write an algebraic expression for each statement:

a. The value of a three digit number if the tens digit is c, the hundreds digit is three less than the tens and the ones digit is 0?
b. The tens digit of a number is b and the units digit is twice as big. What is the value of the number in terms of b if the digits are reversed?

I hope you can help me with these questions!!

Answers

For the given sentences, the algebraic expressions are:

a) N = 110*c - 300

b) N = 12*b

How to get the algebraic expressions?

For the first statement:

A 3-digit number, where the tens digit is c, can be written as:

N = 100*a + 10*c + b

Then the hundreds digit is a, and here we know that is 3 less than the tens digit, then:

a = c - 3

The ones digit is b, here we know that it is 0, then b = 0.

Replacing that in our number we get:

N = 100*(c - 3) + 10*c = 110*c - 300

N = 110*c - 300

That is the algebraic expression.

b) A two-digit number can be written as:

N = b*10 + a

Where b is the tens digit and a is the ones digit.

Here we know that the units digit is twice as bit as the tens digit, then:

a = 2b

Replacing that we get:

N = b*10 + a = b*10 + 2b = 12*b

N = 12*b

That is the algebraic expression.

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I dont understand how to work it out

Answers

Answer:

If you ever see a big word like greatest,biggest,largest,etc,that stands for Greatest Common Divisor(GCD) and therefore,you have to find prime numbers that can divide the two numbers each equally.

the greatest number of trees Abe can have in each row would be 9

3| 54|27

3 | 18| 9

3|. 6|3

you take the prime factors and multiply which would give you 9

help me please i dont understand

Answers

Answer:

6/5 or 1.2, they're the same value

Step-by-step explanation:

When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] which is essentially [tex]\frac{rise}{run}[/tex]. The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you: [tex]\frac{4- (-2)}{2- (-3)} = \frac{6}{5}[/tex] that's the rate of change

help ASAP!!!!!!!!!!!!!!!!!!!!!!

Answers

the answer would be +3 since ur adding 3 every time

Step-by-step explanation:

ATTACHED IS THE SOLUTION

pleaseeeee help :((!!

Answers

Answer:

Option A

Step-by-step explanation:

Hello!

We can find the graph by finding the roots of the equation.

Since the equation is already in factored form, we can use the Zero Product Property to find the roots. The roots of an equation are the value(s) of x when y is 0 (x-axis).

Find the Rootsy = (x - 2)(x - 3)0 = (x - 2)(x - 3)0 = (x - 2)
x = 20 = (x - 3)
x = 3

The roots of the equation are 2 and 3. That means the graph intersects the x-axis at points 2 and 3. Looking at the graphs shown, the answer is Option A.

39. For the following exercises, sketch a line with the given features.
39. An x-intercept of (-2,0) and y-intercept of (0,4)

Answers

Answer: the attachment i put with this file

Step-by-step explanation:

to graph this linear function, you can use the mantra "rise and run" to plot the points on the graph, and draw a line through the points.

work out the value of (6.8x10^3)x(1.3x10^-3) give your answer in standard form

Answers

The standard form of the expression (6.8x10³)x(1.3x10⁻³) is 8.84 × 10⁰.

What is an integer exponent?

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have:

Mathematical expression:

= (6.8x10³)x(1.3x10⁻³)

= 6.8x1.3

= 8.84

= 8.84 × 10⁰

Thus, the standard form of the expression (6.8x10³)x(1.3x10⁻³) is 8.84 × 10⁰.

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PLEASE HELP I HAVE 45 min to SUBMIT WILL GIVE ANYTHING

Answers

Let's take these problems step-by-step:

To solve these problem, simply plug in the values in parentheses in front of f:

 [tex]f(a) = 6a - 8\\\\f(a+h) = 6(a+h)-8=6a + 6h - 8\\\\\frac{f(a+h)-f(a)}{h} =\frac{(6a+6h-8)-(6a-8)}{h} =\frac{6a+6h-8-6a+8}{h} =\frac{6h}{6}=h[/tex]

Hope that helps!

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Area=
Help me please :(

Answers

Answer:

A = 18 units²

Step-by-step explanation:

MNOP is a parallelogram whose area ( A) is calculated as

A = bh ( b is the base and h the perpendicular height )

here b = 6 and h = 3 , then

A = 6 × 3 = 18 units²

HELP PLEASE!) Given the circle below, find the measure of angle CDE.

Answers

Answer: 33 degrees

Step-by-step explanation:

Angles inscribed in the same arc are congruent, so

[tex]13+4x=-7+8x\\\\20+4x=8x\\\\20=4x\\\\x=5\\\\\implies m\angle CDE=-7+5(8)=33^{\circ}[/tex]

Please help me
Pleaseee hellllppppp asap

Answers

Answer:

a: -13º

b: 83º

Step-by-step explanation:

- a: [tex]-27 + 14 = -13[/tex]º

- b: [tex]68 + 15 = 83[/tex]º

- the equation would originally be written as 68 - -15 but 2 negatives make a positive so -- becomes +

hope this helps :)

What is the smallest possible length of the hypotenuse for a non-degenerate
right triangle with integer side lengths given that it has at least 1 leg of length
84.

Answers

The smallest possible length of the hypotenuse is 118

How to determine the hypotenuse?

The given parameters are:

Triangle type: non-degenerate right triangleLegs: Length = 84 (at least 1)

The non-degenerate implies that the right triangle has a positive area.

Since at least one length is 84, then both lengths can also be 84.

The hypotenuse is then calculated using the following Pythagoras theorem.

h^2 = 84^2 + 84^2

Evaluate the sum

h^2 = 14112

Take the square root of both sides

h = 118.8

Round down

h = 118

Hence, the smallest possible length of the hypotenuse is 118

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A voice grade modem has a maximum data rate of 14,400 bps. What would be the maximum data rate of that modem if the number of points in its constellation were doubled

Answers

The maximum data rate of that modem is doubled if the number of points in its constellation were doubled

According to statement

Modem has a data rate is 14,400 bps

we know that the data rate can be calculated by T=A/S

If a is Doubled then the data rate is also doubled.

Because A is directly proportional to the T and S is inversely proportional to T.

So, The maximum data rate of that modem is doubled if the number of points in its constellation were doubled

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Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify.

6 is added to the product of 7 and a number.

Answers

Answer:

  6 +7x

Step-by-step explanation:

To write an English expression as an algebraic one, you must first understand what the English is telling you. Then the translation is straightforward.

Algebraic representation

A plus sign (+) signifies addition. Multiplication is signified several different ways. The simplest is writing the factors next to each other.

Parsing the English

The objects involved in the addition are 6 and a product:

  6 + product

The product is said to consist of two factors: 7 and "a number". The instructions say to use "x" for "a number", so the product can be written ...

  7x

Algebraic expression

Then the complete algebraic expression is ...

  6 +7x

Geometry question I need help

Answers

Answer:

Step-by-step explanation:

5
Select the correct answer.
A basket weaver is making a square basket. A sketch of the top shows the its diagonal will measure 6 inches. What is the perimeter of the top of
the basket to the nearest inch?
6 in
A.48 in
B. 24 in
C. 34 in
D. 20 in

Answers

The perimeter of the top of the basket is 20 in.

What is perimeter of square?

Perimeter of square is defined as addition the lengths of the  square's four sides.

Diagonal = 6

Let,  side of square = a

a²+a² = 6²

2a² = 36

a² = 18

a = 3√2

Perimeter of the square = 4 × side of square

Perimeter of the square = 4 × 3√2

Perimeter of the square = 12√2 ≈ 20 in

Hence, the perimeter of the top of the basket is 20 in.

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Or dylan, an nfl running back, rushed for an average of 88 yards per game this season, which is 20% lower than his average was last season. what was his average then?

Answers

his previous average was 96 yards per game

im so confused can anyone help

Answers

Answer:

45

Step-by-step explanation:

the number of ones expected is

probability × number of rolls

= 0.3 × 150

= 45

Line segment pq is a directed line segment beginning at p(6,-5) and ending at q(-2,4). find point r on the line segment pr that partitions it into the segments pr and pq in the ratio 3:2.

Answers

Using proportions, the coordinates of point R are given as follows: R(1.2, 0.4).

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Segments pr and pq are partitioned in the ratio 3:2, hence:

[tex]PR = \frac{3}{5}PQ[/tex]

[tex]R - P = \frac{3}{5}(Q - P)[/tex]

The points are:

R(x,y).P(6,-5).Q(-2,4).

For the x-coordinate, we have that:

[tex]R - P = \frac{3}{5}(Q - P)[/tex]

[tex]x - 6 = \frac{3}{5}(-2 - 6)[/tex]

x - 6 = -4.8

x = 1.2.

For the y-coordinate, we have that:

[tex]R - P = \frac{3}{5}(Q - P)[/tex]

[tex]y + 5 = \frac{3}{5}(4 + 5)[/tex]

y + 5 = 5.4.

y = 0.4.

The coordinates are: R(1.2, 0.4).

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the stem plot shows the number of swimming laps completed by swim team members at a single practice
Which of the following is a correct statement about the distribution?

Answers

The correct statement is the distribution is unimodal.

What is the correct statement?

A Stem plot is a table where each data value is split into a stem which is the first digit or digits and a leaf which is the last digit.

Mode refers to a value that appears most frequently in a data set. A unimodal data set is a distribution with one clear most frequent values. There are only one set of modes in the data. They are 76.

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Average Allowance
Amount Frequency
$20
$15
$10
$5
||
MH
NHM
|||
What is the
range of
allowance
amounts?

Answers

Answer:

$15

Step-by-step explanation:

Range is the difference of the highest and lowest data.

Based on the given $20 is the highest and $5 is the lowest.

$20 - $5 = $15

Answer:

15

Step-by-step explanation:

you can think of this table as a data set--and you could even write it out

5, 5, 5, 10, ......... 20, 20 {I did not write it out in full of course}

so, when thinking about the range, we can think of it as a range of our data set.

We find the range of a data set by finding the difference between the highest and lowest values

So, we know that our highest data value (amount) is 20, and the lowest is 5:

20 - 5 = 15

meaning that there is a range of $15 in this data set of allowance amounts

hope this helps!! have a lovely day! :)

the ratio of girl to boys is 6 2, there were 14 boys how many total members were there in the club

Answers

Answer:

The club has 56 members

Step-by-step explanation:

We can set up a ratio problem to find the total number of kids in the club. There are two ways to do this, and I will show you both. The first way is to immediately set up a ratio between the number of boys and the number of total members in the club. Since the ratio of girls to boys is 6:2, the ratio of boys to members is 2:8 (add the number of girls and boys in the ratio to get the total number of people). Now, we can set up an equation, letting x equal the number of members total, and solve using cross multiplication:

[tex]\frac{2}{8}=\frac{14}{x}\\\\ 112=2x\\\\ x=56[/tex]

The other way to solve this problem would be to figure out the number of girls in the club if there are 14 boys and then add the two quantities together. If we let y be the number of girls in the club, we get the following solution:

[tex]\frac{6}{2}=\frac{y}{14}\\\\ 2y=84\\\\ y=42\\\\x+y=56[/tex]

Either way, we get that the total number of members is 56

A system with the same line has an infinite number of solutions.

True or False

Answers

True cause they infinitely coincide and intersect and infinitely many solutions (points)

Which side measures would create an acute triangle?
O2,4,5
O 3,4,5
O 3,6,7
O 6,8,9

Answers

2,4,5 or 3,4,5 are the anwsers most likely

Todd and his brother robert are going to use 512 square feet of their backyard for skateboard ramps. the shape of the backyard is rectangular, with the length twice as long as the width. what are the dimensions of the backyard? which quadratic equation would be used to solve for the unknown dimensions? 0 = 2w2 512 = w2 512 = 2w2 512 = 2l 2w

Answers

The dimensions are 16  ft by 32 ft

The quadratic equation is w^2-256=0

We have given that,

Todd and his brother Robert are going to use 512 square feet of their backyard for skateboard ramps. the shape of the backyard is rectangular, with the length twice as long as the width.

What is the area of the rectangle?

The area of a rectangle is equal to

A=WL

Where L is the long side of the rectangle

W is the width side of the rectangle

in this problem we have

A=512ft^2

S0,512=LW -----> equation A

L=2W ------> equation B

substitute equation B in equation A

512=2W(W)

512=2w^2

2w^2-512=0

W^2=512/2

W=\sqrt(256)

W=16

Find the value of L

L=2W

L=2(16)

L=32ft

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Answer:

C)512 = 2w2

Step-by-step explanation:

trust

what one is right? for this

Answers

360

Step-by-step explanation:

A number cube is rolled 14 times and the results are recorded in the table. what, in simplest form, is the experimental probability that the number cube shows 4? a. 0 b. 1/6 c.2/7 d.5/14

Answers

The experimental probability is 5/14.

What is Experimental Probability?The term "probability" refers to an event's likelihood of happening. A probability has a value between 0 and 1, therefore if an occurrence is impossible, it has a probability of 0, and if it is certain, it has a probability of 1. Experimental probability is the probability that is established based on the outcomes of an experiment. The term "empirical probability" also applies to this. A probability that has been established by a series of tests is called an experimental probability. To ascertain their possibility, a random experiment is conducted and iterated over a number of times; each iteration is referred to as a trial. The goal of the experiment is to determine the likelihood that an event will occur or not.

Since, 4 appeared five times over the total, The experimental probability is 5/14.

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The length of a bridge is 230 m. The length of each of Robert's paces is 75 cm.
What is the minimum number of full paces that it would take Robert to walk the full length of the bridge?

Answers

Answer:

307 paces

Step-by-step explanation:

First, lets convert Robert's pace to metres. (cm > m)

75cm = (75/100)m

= 0.75m

Number of Full Paces = Length of Bridge / 1 Full Pace

=

[tex] \frac{230m}{0.75m} \\ = 306 \frac{2}{3} paces[/tex]

See , we must have full paces, and in this case we are finding the minimum number of paces, so we will be looking at the lowest possible whole number, which in this case, is 307 paces.

10. What is the exact equation for the quadratic modeled in the table below?
X
-4
-2
2
4
y
24
12
0
0
0
4
6
4

Answers

The quadratic equation is y = 1/2x^2 - 3x + 4

How to determine the equation?

A quadratic equation is represented as:

y = ax^2 +bx + c

Using the values on the table, we have:

a(0)^2 + b(0) + c = 4 ---- when x = 0

a(2)^2 + b(2) + c = 0 ---- when x = 2

a(4)^2 + b(4) + c = 0 ---- when x = 4

Evaluate these equations

c = 4

4a + 2b + c = 0

16a + 4b + c = 0

Substitute c = 4

4a + 2b + 4 = 0

16a + 4b + 4 = 0

Divide through by 2 and 4

2a + b + 2 = 0

4a + b + 1 = 0

Subtract both equations

2a -1 = 0

Solve for a

a= 1/2

Substitute a= 1/2 in 4a + b + 1 = 0

4 * 1/2 + b + 1 = 0

Evaluate

2 + b + 1 = 0

Solve for b

b = -3

So, we have:

y = ax^2 +bx + c

This gives

y = 1/2x^2 - 3x + 4

Hence, the quadratic equation is y = 1/2x^2 - 3x + 4

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please help ill give whoever answers the best the brainliest answer

Answers

1. Walks slowly to school: rising line that slowly rising up
2. Stay at school the whole day: straight line for a period of time
3. Walks faster rate walking back home without stopping: descending line that quickly falls

It’s picture 2
The lowest graph is the answer. Why? Well, the others are incorrect because:

The 1st graph would represent a scenario where on the way home from school, Angelo is idle somewhere and then walks home at a faster rate than he did to school.

The 2nd graph would represent a scenario where Angelo walks at a faster pace to school than he does back home.

The 3rd graph would represent a scenario where on the way to school, Angelo becomes idle for a bit and then continues to walk to school at the same pace.

Meanwhile, the 4th graph represents Angelo walking to school, staying at school for a while, and then walking back home at a faster rate (possibly running).

Your final answer: The bottom graph is the correct answer. If you need help, let me know and I will gladly assist you.
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