Find the value of x for which ABCD must be a parallelogram

a. 0
b. 25
c. 4
d. 7

Answers

Answer 1

Answer:

d. 7

Step-by-step explanation:

A parallelogram has equal opposite sides that are parallel to each other. Therefore, opposite interior angles would be congruent to each other.

Thus:

3x - 17 = 25 - 3x

Add 3x from each side

3x - 17 + 3x = 25 - 3x + 3x

6x - 17 = 25

Add 17 to both sides

6x - 17 + 17 = 25 + 17

6x = 42

Divide both sides by 6

6x/6 = 42/6

x = 7


Related Questions

The table shows the change in yards for 3 plays in a football game. Use the information below to complete statements below.

Answers

Answer:

Step-by-step explanation:

Kay do you just not know about "football"  ??  what was confusing you about this question??

question 1 )   play C

question 2)  play A

question 3)  13 less yards ,

Identify the form of each equation.
2x + 8y = 5 is in (select)
V
y-9=5(x - 6) is in (select)
V
y = 7x + 6 is in (select)
V
9x - 2y = -6 is in (select)

Answers

Answer:

Step-by-step explanation:

The first one is in standard form;

the second one is in point-slope form;

the third one is in slope-intercept form;

the last one is in standard form

These are all lines, so as you can see, there are 3 different formats for writing the equation of a line.

The ratio of the measures of the sides of a triangle is 3:4:5. Its perimeter is 48 inches. Find the scale factor as a decimal, and the measure of each side of the triangle.

Answers

Given:

The ratio of the measures of the sides of a triangle is 3:4:5.

Its perimeter is 48 inches.

To find:

The scale factor as a decimal, and the measure of each side of the triangle.

Solution:

Let x be the scale factor. Then the measures of sides of the triangle are 3x, 4x and 5x.

The perimeter of the triangle is 48 inches. It means the sum of all sides of the triangle is 48 inches.

[tex]3x+4x+5x=48[/tex]

[tex]12x=48[/tex]

Divide both sides by 12.

[tex]x=\dfrac{48}{12}[/tex]

[tex]x=4[/tex]

Now, the measures of sides are:

[tex]3x=3(4)[/tex]

[tex]3x=12[/tex]

Similarly,

[tex]4x=4(4)[/tex]

[tex]4x=16[/tex]

And,

[tex]5x=5(4)[/tex]

[tex]5x=20[/tex]

Therefore, the scale factor is 4 and the measures of sides are 12, 16 and 20.

Answer:

The scale factor is 4.

Sides are 12 inches, 16 inches, 20 inches.

Step-by-step explanation:

The ratio is 3 : 4 : 5 and the perimeter is 48 inches.

Let the scale is p.

The length of sides is 3 p , 4 p and 5 p.

So, the perimeter is

3 p + 4 p + 5 p  = 48

12 p = 48

p = 4

So, the scale factor is 4.

Sides are 12 inches, 16 inches, 20 inches.

What is the value of y? 72

Answers

Answer:

D. 54

Step-by-step explanation:

54 + 54 = 108, and 72 + 180 equals 180 degrees.

This is due to the fact all angles in a triangle add up to 180 degrees.

Steve's math homework took him 17 minutes. His science homework took him 22 minutes. How much time did it take Steve to finish his math and science homework?

Answers

Answer:

39 minutes for both

Step-by-step explanation:

22+17=39

Answer:

It took Steve 39 minutes to finish both his math and science.

Step-by-step explanation:

17+22=39

Steve is traveling from Atlanta to Houston, a distance of 704 miles. If he divides the trip into two parts,
which the ratio of the parts is 2:5, how many miles does he drive in each section?

Answers

Answer:

201.14 , 502.85

Step-by-step explanation:

704/7 = 100.57

2*100.57 = 201.14

5*100.57 = 502.85

how can you find the slope of a line and use it to
solve problems?

Answers

Answer:

Step-by-step explanation:

1) Mark two points on the line in the graph.

2) Determine the rise and run. Rise ---> difference in y-coordinates. (y2-y1)

Run -----> difference in  x-coordinates (x2 - x1)

3) Plugin the values in the below mentioned formula.

[tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

1.If slope = 0, then the line is parallel to x-axis.

2. If slope is undefined, then the line is parallel to y-axis.

3. If slope is +ve, then the line slant upwards and if slope = -ve, then the line slant downwards.

Can someone help me with this math homework please!

Answers

Answer:

I'm pretty sure it is 0.75

Step-by-step explanation:

It is a3 so that means it is the 3rd answer in the sequence.

Answer:

The sequence is adding 0.25

EXPRESS in power notation
1. -1/8
2. -64/27
Express in rational number
1. (-3/2)
2. (1/5)
simplify (-4/3)³(2/5)-⁴ ÷ (7/4) ​

Answers

Answer:

Solution given:

1:

-1/8=[tex]\frac{-1³}{2³}=(\frac{-1³}{2³}=-1³*2^{-3}=-2^{-3}[/tex]

2. -64/27

=[tex]\frac{-4^{3}}{3³}=\frac{-4³}{3³}=(\frac{-4}{3})^{3}[/tex]

Express in rational number

1. (-3/2)=-3/2*2/2=-(3*2)*(2/2)=-6/4

2. (1/5)=1/5*5/5=5/25

and

(-4/3)³(2/5)-⁴ ÷ (7/4)

(-4³/3³)(2-⁴/5-⁴)÷7/4

(-64/27)(5⁴/2⁴)÷7/4

(-64/27)(625/16)÷7/4

(-64*625/(27*16))*4/7

-2500/27*4/7

-10000/169

(-100/13)²

1/2a=11

a=? P.S I am not in high school I am in 4TH GRADE!!!

Answers

Answer:

a: 1/22

Step-by-step explanation:

cross multiply 1/2a=11

which will give 22a=1

divide both sides by 22

to give a=1/22

What are the x-intercepts of the parabola?
A: (4.5, 0) and (5, 0)
B: (0, 4.5) and (0, 5)
C: (0, 5) and (0, 4)
D: (5, 0) and (4, 0)​

Answers

Answer:

D: (5, 0) and (4, 0)

Step-by-step explanation:

The x-intercepts of a parabola are the points where the parabola intersect the x-axis (horizontal axis). Therefore, the y-value of the x-intercepts are always 0. Since coordinates are written (x, y), we can immediately eliminate answers B and C.

Next, we look at the x-coordinates of where the parabola intersects the x-axis. We can see clearly that the parabola crosses the x-axis at [tex]x=4[/tex] and [tex]x=5[/tex]. Therefore, the x-intercepts of the given parabola are (4, 0) and (5, 0).

Enter an equation in point-slope form for the line.
Slope is 4 and (-2,-1) is on the line.
The equation of the line in point slope form is:

Answers

Answer:

[tex]y+1=4(x+2)[/tex]

Step-by-step explanation:

Hi there!

Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] where m is the slope and (x₁,y₁) is the given point

[tex]y-y_1=m(x-x_1)[/tex]

Plug in the slope and the point

[tex]y-(-1)=4(x-(-2))\\y+1=4(x+2)[/tex]

I hope this helps!

The circumference of a circle is 11 pi ft. find its diameter, in feet​

Answers

Answer:

11 feet

Step-by-step explanation:

Use the circumference formula, C = [tex]\pi[/tex]d

Plug in 11[tex]\pi[/tex] as C, and solve for d:

C = [tex]\pi[/tex]d

11[tex]\pi[/tex] = [tex]\pi[/tex]d

11 = d

So, the diameter is 11 feet

Which of the following is perpendicular to 4x - 3y = 8?
Select one:
a. -8x + 12y = 7
b. 6x + 8y = 9
c. -4x - 3y = 8
d. -8x + 6y = 5

Answers

Answer:

a.-8x-12y

Step-by-step explanation:

i hope it will help u

The equation of line -4x - 3y = 8 is perpendicular to the given line of the equation which is the correct answer would be option (C).

What are the perpendicular lines?

Perpendicular lines are two lines that cross one other and create a 90-degree angle.

The equation of the line below which is given in the question

4x - 3y = 8

We have to determine which is perpendicular to the given equation of the line

First, we need to find the slope of the given equation.

4x - 3y = 8

- 3y = - 4x + 8

Divided by -3 into both sides of the above equation,

y = (- 4/-3)x + 8/(-3)

y = (4/3)x - 8/3

Comparing the above equation with the standard form of line y = mx + b

Here m is the slope of the line,  in this case, m = 4/3.

As per option (C),

- 3y = 8 + 4x

Divided by -3 into both sides of the above equation,

y = - 4/3x - 8/3

Here the slope of this line is - 4/3

Therefore, the equation of line -4x - 3y = 8 is perpendicular to the given line of the equation.

Hence, the correct answer would be option (C).

Learn about the perpendicular lines here :

https://brainly.com/question/18271653

#SPJ2

Which of the following are square roots of the number below? Check all that apply.

36

Answers

Answer:

mark me brainliest..

Step-by-step explanation:

plz open the below file and hope it helps!!

simplify 6÷[5{6÷(5-2)}]

answer correctly i will give brainliest.

Answers

Answer:

hope this helppppp youuu

the answer is 0.6 :)

15. Madison invested in a certificate of deposit for 4 years at a 6% interest rate. At the end of the 4 years, the value
of the certificate of deposit was $3,100. How much did Madison deposit originally?

Answers

Answer:

2455.49

Step-by-step explanation:

[tex]3100=x(1+.06)^4\\x=2455.490356[/tex]

Solve for y: 3x - 4y = 12

Answers

Answer:

y = 3/4x -3

Step-by-step explanation:

3x - 4y = 12

Subtract 3x from each side

3x - 4y -3x =-3x+ 12

-4y = -3x+12

Divide by -4

-4y/-4 = -3x/-4 +12/-4

y = 3/4x -3

Answer

The value of y is 3/4x-3.

Explanation

Rearrange the equation to get y on one side of the equation.

3x-4y=12

-4y=12-3x

y=-3+3/4x

y=3/4x-3

evaluate
[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]
please explain​

Answers

[tex]\frac{-1}{32}[/tex] is a required answer.

Answer:

Solution given:

[tex] {( - 7)}^{ \frac{5}{3} } \times {( \frac{1}{56} )}^{ \frac{5}{3} } [/tex]

take power common

[tex](\frac{-7*1}{56})^{\frac{5}{3}}[/tex]

Reduce the fraction

[tex](\frac{-1}{8})^{\frac{5}{3}}[/tex]

make the1 and 8 in terms power 3

[tex](\frac{-1³}{2³})^{\frac{5}{3}}[/tex]

take the common power

[tex](\frac{-1}{2})^{3*\frac{5}{3}}[/tex]

Reduce power

[tex](\frac{-1}{2})^{5}[/tex]

now

distribute power

[tex]\frac{-1^{5}}{2^{5}}[/tex]

[tex]\frac{-1}{32}[/tex]

Manuel bought a set of tracks for $35 and 8 individual train cars,
which were priced the same. If the total cost was $155, what was the
price for each train car?
Please help

Answers

Answer:

155÷8= 19,375

The unit price of each wagon can be obtained by dividing (155 by 8)

luck in your tasks.

How to solve ? What is the answer?

Answers

Answer:

L = [tex]\sqrt{52^2 + 30^2}[/tex]

L = 60.033

Step-by-step explanation:

What is the slope of the line shown below?
ОА. - 17
(5, 1)
X
O B. -4
-5
5
(-3,-1)
O c. 4
-5
O D.
1
4

Answers

Answer:

C

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, - 1) and (x₂, y₂ ) = (5, 1) ← 2 points on the line

m = [tex]\frac{5-(-3)}{1-(-1)}[/tex] = [tex]\frac{5+3}{1+1}[/tex] = [tex]\frac{8}{2}[/tex] = 4 → C

If you have money 50000, so you give your money to your friend in 49999 how much does money rimend

Answers

Ima think you meant how much you have left, and that would be 1

These slopes are linear.
Find the slope.

Answers

Answer:

The slope is 1

OAmalOHopeO

Answer:

1

Step-by-step explanation:

when x is 1 y is one

Lorraine writes the equation shown.

x squared + y minus 15 = 0

She wants to describe the equation using the term relation and the term function.

The equation represents

Answers

Answer:

xy is equal to 15 Q understood

Answer:

Its A

Step-by-step explanation:

Segment addition and midpoints.

Answers

Answer:  17

======================================================

Explanation:

AC = 13 and BC = 8

Those two facts must mean AB = AC-BC = 13 - 8 = 5.

Similarly, CD = BD - BC = 12 - 8 = 4

So,

AD = AB + BC + CD

AD = 5 + 8 + 4

AD = 17

------------

Another way to approach this problem would be to say

AD = AC + BD - BC

AD = 13 + 12 - 8

AD = 17

This works because when we add up AC with BD, we're double counting the portion from B to C. So this is why we subtract off BC to correct for this overcounting so to speak.

Answer:

Segment AD is 17.

Step-by-step explanation:

We know AC is 13, BC is 8, and BD is 12. We need the lengths of AB and CD.

To get AB's length, subtract BC's length from AC's length. We should get 5 for the length of AB (13 - 8 = 5).

To get CD's length, subtract BD's length from BC's length. We should get 4 for the length of CD. (12 - 8 = 4)

Now to add AB, BC, and CD. Add 5, 8, and 4 to get 17. (13 + 4 = 17)

The length of Segment AD is 17.

Daniel paid interest of 1,020 in 5years at12%per annum on a loan. Hw much did he borrow

Answers

I = Prt
I=1020
r=0.12 (12% converted to decimal by dividing by 100)
t=5
1020=P(0.12)(5)
1020=P(0.6)
P=1700

1.If a number is chosen at random from the integers 5 to 25 inclusive , find the probability that the number is a multiple of 5 or 3.
2.Good Limes =10
Good Apples = 8
Bad Limes = 6
Bad Apples 6
The information above shows the number of limes and apples of the same size in a bag . If two of the fruits are picked at random , one at a time without replacement .Find the probability that :
I. Both are good limes
II.Both are good fruits
III. One is a good apple and the other a bad lime

Answers

I'll do problem 1 to get you started.

set A = multiples of 3 between 5 and 25 = {6, 9, 12, 15, 18, 21, 24}

there are 7 items in set A, so we can say n(A) = 7

set B = multiples of 5 between 5 and 25 = {5,10,15,20,25}

Here we have n(B) = 5

set C = multiples of 3 and 5, between 5 and 25 = {15}

n(C) = 1 which we can rewrite as n(A and B) = 1.

-----------------------------------------

To summarize so far,

n(A) = 7n(B) = 5n(A and B) = 1

From those three facts, then we can say,

n(A or B) = n(A) + n(B) - n(A and B)

n(A or B) = 7 + 5 - 1

n(A or B) = 11

There are 11 values between 5 and 25 that are multiples of 5, multiples of 3, or both.

Those 11 values are: {5, 6, 9, 10, 12, 15, 18, 20, 21, 24, 25}

This is out of 25-5+1 = 21 values overall which are in the set {5,6,7,...,24,25}

So we have 11 values we want out of 21 overall, which leads to the probability 11/21

Final Answer:   11/21

Answer:

Solution given:

total outcomes between 5 to25 inclusive

n[T]=25-5+1=21

multiple of 5n[5]=5,10,15,20,25=5

multiple of 3n[3]=6,9,12,15,18,21,24=7

now

probability of getting multiple of 5p[5]=5/21

and

probability of getting multiple of 3 p[3]=7/21=1/3

again

the probability that the number is a multiple of 5 or 3 P[5or 3]=p[5]+p[3]=5/21+1/3=4/7

the probability that the number is a multiple of 5 or 3 is 4/7.

2:

.Good Limes n[GL] =10

Good Apples n[GA]= 8

Bad Limes n[BL] = 6

Bad Apples n[BA]= 6

total fruits n[T]=10+8+6+6=30

no of good apple n[G]=10+8=18

no of bad apple n[B]=6+6=12

again

I. Both are good limes

=[tex]\frac{n[GL]}{n[T]}×\frac{n[GL]-1}{n[T]-1}[/tex]

=10/30*9/29=3/29

II.Both are good fruits

=[tex]\frac{n[BL]}{n[T]}×\frac{n[BL]-1}{n[T]-1}[/tex]

=6/30*5/29=1/29

III. One is a good apple and the other a bad lime

=n[G]/n[T] *n[B]/(n[T]-1)

=18/30*12/29=36/145

Please answer srep by step if can!!​

Answers

Adding mixed number fractions is easy.
For example for the first one 1 1/2 the number 1 in large letter represents 2/2 so 2/2+1/2= 3/2
3/2 is equivalent to 1 1/2 but just with the whole number on the bottom added to the top.
However if 2 or more is the larges number times the number on the bottom by the large number and add it to the number already there.

what is 12.5% of 10 kg in grams​

Answers

Answer:

1250 g

Step-by-step explanation:

12.5% of 10 kg

12.5% of 10000 g

.125 of 10000 g

.125 * 10000 g

1250 g

Answer:

1250 grams

Step-by-step explanation:

[tex] \frac{12.5}{100} \times 10kg = x \: grams[/tex]

[tex]1.25kg = 1250 \: grams[/tex]

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