Figure ABCD is a parallelogram. What is the value of x? A B O 6 ET O 7 8 5x + 3 38 09 D С​

Answers

Answer 1

Answer:

Given: It is given that  and .

To Prove: ABCD is a parallelogram.

Statements                                                                            

1.  and            

Reason: Given                                      

2.  are alternate interior angles      

Reason: Def of alternate interior angles

3.                                                

Reason: Alternate interior angles are congruent

4.                                                              

Reason: Reflexive property

5.                                                  

Reason: SAS congruency theorem

6.                                                        

Reason: Corresponding Parts of Congruent triangles are Congruent (CPCTC)

7. ABCD is a parallelogram                                  

Reason: Parallelogram Side Theorem

Step-by-step explanation:

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Answer 2

The value of x in the parallelogram is 7.

How to calculate the parallelogram?

In a parallelogram, it should be noted that the opposite angles are of equal measure.

In this case, 5x + 3 = 38

Collect like terms

5x = 38 - 3

5x = 35

x = 35/3

x = 7

In conclusion, x is 7.

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Related Questions

92% of 3.9 =
pls answer

Answers

Answer:

35.88


Step-by-step explanation:

92/100 = x/39. 100x = 3588. x = 35.88

Find the measure of the arc. *
X
42°
V
W
?
O 42 degrees
84 degrees
0 21 degrees
O 81 degrees

Answers

The measure of the intercepted arc is: B. 84°.

The Inscribed Angle Theorem

Based on the inscribed angle theorem, if an inscribed angle measures A, and the intercepted arc measures B, therefore, A = 1/2(B).

Thus, given the following:

Inscribed angle = 42°intercepted arc = WV = ?

Thus:

42 = 1/2(WV)

WV = 2(42)

WV = 84°

Therefore, the measure of the intercepted arc is: B. 84°.

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Kendle wants to play several games of laser tag. She has $35 to play g games. Each game of laser tag
$5.
Select the equation that matches this situation.

Answers

Well if the question is asking how many times she can play laser tag, the equation can be 5 divided by 35 or u can just subtract 5 away from 35 7 times,

A jar contains 11 red marbles, 12 blue marbles, and 6 white marbles. Four marbles from this jar are selected, with each marble being replaced after each selection. What is the probability that the first red marble chosen is on the 5th selection?

0.0128
0.0563
0.1484
0.2815

Answers

Answer: Option 2: 0.0563
Total Marbles: 29
Option:
(B/W) • (B/W) • (B/W) • (B/W) • (R)
18/29 • 18/29 • 18/29 • 18/29 • 11/29
= Exact Form: 1154736/20511149
= Decimal Form: 0.05629796

What is the slope of the line

Answers

Answer:

-2

Step-by-step explanation:

A slide 5.1 m long makes an angle of 35° with the ground. To the nearest tenth of a meter, how
far above the ground is the top of the slide?

A: 3.6m

B: 2.9m

C: 4.2m

D: 7.3m

Answers

3.9m hope this helps

The top of the slide is 2.9 meters far above from the ground.

The correct option is B.

What is a sine function?

The sine function in trigonometry is the ratio of the hypotenuse's length to the opposite side's length in a right-angled triangle. To determine a right triangle's unknown angle or sides, utilize the sine function.

Given:

A slide 5.1 m long makes an angle of 35° with the ground.

Let the top of the slide is x meters far above from the ground.

Sin(35°) = Opposite/Hypotenuse

Sin(35°) = x / 5.1

x = (5.1) Sin(35°)

x = 2.92 meters.

Therefore, the distance is 2.92 meters.

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Which linear inequality is represented by the graph?

Answers

Answer:
The top one, A

Step-By-Step Solution:
So, if you look at the slopes, there are points of (0,2) and (2,3)
Change over y/change over x get you to 1/2 slope,
So, we have two options now
If you plug in (0,0) only the top one will work as a solution

A bank balance is more than $35. Julia wants to write an inequality for the bank balance. Which inequality symbol should she use to match the phrase “more than”?
Plus
Greater-than
Less-than
Times

Answers

Answer:

x>35

Step-by-step explanation:

The inequality symbol she should use to match the phrase “more than” is "Greater-than".

What is Linear Inequalities?

Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.

Given that,

A bank balance is more than $35.

Let x represents the bank balance.

So, if the bank balance is more than $35,

x > 35

The symbol used is "greater than".

Hence the symbol used for the given inequality expression is "greater than".

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Tom has $25 saved and saves $3 a week Jim has 100$ saved and spends $12 a week . When will they have the same amount in their bank accounts

Answers

tom= 25 + 3x

jim = 100 - 12 x

100 -12x = 25 + 3x

75 = 15x

x = 5

after 5 weeks they will have the same amount in their bank accounts

what is 1/2 divided by 5

Answers

Answer:

1/2 ÷ 5

=5/2

this gonna be mixed fraction

= ¹2/2

A data set has a maximum of 84, a minimum of 34, a median of 52.5, an upper quartile of 64, and a lower quartile of 44. Which statement is true of the box plot of this data set? The box will go from 44 to 64.A line dividing the box will be at 54.The left whisker will go from 34 to 52.5.The right whisker will go from 44 to 84.

Answers

Answer:

The box will go from 44 to 64.

Step-by-step explanation:

A box plot shows the five-number summary of a set of data.

Given five-number summary:

Minimum = 34Lower quartile (Q₁) = 44Median (Q₂) = 52.5Upper quartile (Q₃) = 64Maximum = 84

To represent the given data as a box plot:

Draw a box from the lower quartile (44) to the upper quartile (64).Draw a vertical line through the box at the median (52.5).Draw horizontal lines (whiskers) from the lower quartile (44) to the minimum value (34) and from the upper quartile (64) to the maximum value (84).

(See attached for box plot).

Therefore, the true statement is:

The box will go from 44 to 64.

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Answer: The box went from 44 to 64

Step-by-step explanation:keep it simple

Solve pls brainliest

Answers

Answer:

-54 and 56

Step-by-step explanation:

An integar is only the number which has no decimals or fractions

Choose 10 whole numbers AND 10 decimals. Calculate 10% for all 20 numbers. Then, describe the pattern that you notice. Repeat for 1%.

Answers

btw I got this answers from gauth math
answer: 2

Feb 03, 11:54:47 PM

Solve for the value of n.
(n+6°
(2n+3)
Bu
Answer: n =
Submit Answer
attempt 1 out of 2

Answers

I could be wrong here

n+6=2n+3

Subtract n from n+6 and subtract n from 2n+3 to get 6=n+3

Subtract 3 from both sides to end up with n = 3

?

I think you make the whole equation = 180. So 2n+3 + n + 6=180
3n +9=180
3n=171 then divide by 3 =57
N=57

HELP ME PLEASE I DONT UNDERSTAND THIS !!!
A certain car going 60 mph can stop in 180 ft. At what speed is the car traveling if it can stop in 100 ft?

Answers

The car is speeding at a rate of 33.3mph

Speed and distance of an object

If a certain car going 60 mph can stop in 180 ft, then we can express this as:

60mph = 180ft

To determine the speed for a car traveling at 100ft, we will have:

x = 100ft

Take the ratio of the expression

60/x = 180/100
180x = 6000

x = 33.3mph

Hence the car is speeding at a rate of 33.3mph

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PLEASE HELP AND HURRY!!!
ILL GIVE BRAINIEST!!!


WHICH IS THE CORRECT EQUATION TO SOLVE FOR
X?
A. 16X +180 = 90
B. 12x - 29 + 4x +1=180
C. 12X - 29 + 4X +1=90
D.12x - 29 = 4x +1

Answers

Answer:

Option B.

Step-by-step explanation:

(12x - 29) + (4x + 1) = 180

Por qué crees que el valor de la media no aparece en la tabla y es un número decimal?

Answers

La media no aparece en la tabla ya que se requiere un calculo para encontrarla, además, es un número decimal pues corresponde a la suma de los resultados dividida en el número de días.

¿Qué es la media?

En matemáticas, la media o promedio corresponde a la suma de todos los valores dividida en el número total de valores. En este caso la media corresponde a la suma de las temperaturas dividida en el número de días.

Calcular la media:

Usando la formula anterior, calculemos la media:

16 + 19 +17 + 20 + 22 + 18 +15 = 127/7 = 18.7

El valor de la media es 18.7, al respecto se puede observar que:

Este valor no aparee en la tabla pues no corresponde a la temperatura de ningún día sino que debe ser calculado.Este valor es decimal, lo que se común al hallar la media ya que se suman todos los valores y se dividen por un número determinado.

Nota: Esta pregunta esta incompleta. Aquí esta la parte faltante:

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what is the history of Saint Valentine's Day

Answers

Answer:

Because he died on that day

Step-by-step explanation:

r= 4/3(p-q)

solve for p ​

Answers

Answer = p=12-4 -12=17=18+19

p-q

p=12

pls help i will put braininliest​

Answers

Answer:

Container B

Step-by-step explanation:

As depth increases the time it takes to fill the container increases. Object B is the best fit cause the amount of water in 1 seconds it needs at first is less and then the time its takes as depth increases is more.

Identify the property demonstrated:

(5^3)^2 =5^3⋅2

A. Quotient of Powers Property

B. Power of a Product Property

C. Product of Powers Property

D. Power of a Power Property

Answers

So I think it’s D. So you’ll do 5 x 5 x 5 = 125 then x 2 = 250

Answer:

D. Power of a Power Property

Step-by-step explanation:

have great day :D

Florida had a sales rate of 6 percent, and Gainesville has a sales tax of 1 percent. What is the total of the state sales tax and the city tax?

Answers

I'm thinking 5.95% sorry if I'm wrong

Help me with my math homework

Answers

1. 2√2
2. √5
3. 5√3
4. 10
5. 4√2
6. 3√5
7. 4√3
8. 5√5
9. 3√2
10. 3√3
11. 4
12. 6
13. 5√2
14. 2√3

can someone help me please

Answers

Simple. Since a straight line is 180 you can do 180-59 in which you will get 121. You can use the alternate angle theorem.
X=121

Please explain 12 and13and please please please hurry!

Answers

Answer:

12. a = 2

13. [tex] x = \dfrac{4}{3} [/tex]

Step-by-step explanation:

12.

6a(a + 3) = 2a(3a + 5) + 16

First, distribute 6a on the left side, and distribute 2a on the right side.

6a² + 18a = 6a² + 10a + 16

Subtract 6a² from both sides.

18a = 10a + 16

Subtract 10a from both sides.

8a = 16

Divide both sides by 8.

a = 2

13.

[tex] \dfrac{1}{3}x + \dfrac{1}{2}x = \dfrac{1}{3}(x + 2) [/tex]

The LCD of 2 and 3 is 6. We multiply both sides of the equation by 6 to get rid of all denominators.

[tex] 6 \times \dfrac{1}{3}x + 6 \times \dfrac{1}{2}x = 6 \times \dfrac{1}{3}(x + 2) [/tex]

[tex] \dfrac{6}{3}x + \dfrac{6}{2}x = \dfrac{6}{3}(x + 2) [/tex]

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

Combine like terms on the left side. Distribute the 2 on the right side.

[tex] 5x = 2x + 4 [/tex]

Subtract 2x from both sides.

[tex] 3x = 4 [/tex]

Divide both sides by 3.

[tex] x = \dfrac{4}{3} [/tex]

Solve the system of equations by graphing.
I have to plot 2 points with the numbers that are given, and of course it has to have a solution, but I'm not exactly sure how to do it. Can someone please help?

Answers

Answer:

Step-by-step explanation:

First, find the value for x on the x-axis. ...

Next, find the y-value - in this case, y=1100, so find 1100 on the y-axis. ...

Your point should be plotted at the intersection of x=0 and y=1100. ...

Finally, plot the point on your graph at the appropriate spot

More Steps

Step 1: Identify the variables. ...

Step 2: Determine the variable range. ...

Step 3: Determine the scale of the graph. ...

Step 4: Number and label each axis and title the graph.

Step 5: Determine the data points and plot on the graph. ...

Step 6: Draw the graph.

Final

Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

Have a good day :) Hope this helped!

Which ones show alternate interior angles

Answers

Answer:

a

Step-by-step explanation:

The interior angles which lie on the opposite sides of the transversal and do not form a linear pair are called alternate interior angles.

tom buys call of duty for $49.99 and also trades in a game for a credit of $5.60. There is no tax and he pays with a $100 bill. What is his change?

Answers

Answer: $55.61
Because you take 49.99-5.60=44.39 take 100 subtract what you have to pay which is 100-44.39=55.61

Untuk gambar berikut hitunglah nilai A, B, C, dan D!

Answers

Answer:

Draw all the three triangles and label them.

First triangle perimeter is 20 + c + a

The second is (20+15) + 70 + (30+a)

Third is (20+35+12) + d + (a+30+b)

Now we need to find scale factor (s.f) from on triangle to the other.

35/20 = 1.75 s.f.

Thus, 70/1.75 = c and it's 40

Now use pythag to find a

A = square root of 20^2 + 40^2

=44.72

(a+30) = 74.72

47/35 = 1.34 s.f.

70/1.34 = d and it's 52.13

Now pythag again to find b

A = square root of 47^2 + 52.13^2

^2 = 70.19

So, a+30+ b = 70.19

40+30 + b = 70.19

b= 70-70.19

b= 0.19

A=40

B=0.19

C=40

D=52.13

Hope this helps!

Two cards are drawn from a standard deck without replacement. What is the probability that the first card is a heart and the second card is red

Answers

Answer:

25/208 or 12.2%

Step-by-step explanation:

P(heart) = 13/52 = 1/4

P(red) = 26/52 = 1/2

because we are not replacing the first card drawn, the deck has 51 cards remaining

P(heart, red) = 1/4 × 25/52

= 25/208 or 12.2%

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