ABCD is a parallelogram. Determine the value of a.

ABCD Is A Parallelogram. Determine The Value Of A.

Answers

Answer 1

Answer:

a = 6

Step-by-step explanation:

The opposite sides of a parallelogram are congruent , so

BA = CD , that is

7a - 3 = 3 + 6a ( subtract 6a from both sides )

a - 3 = 3 ( add 3 to both sides )

a = 6

Answer 2

Answer:D

Step-by-step explanation:

I took the test


Related Questions

Quadratic functions 30pt

Answers

Answer:

y= -x -3

Step-by-step explanation:

A perpendicular bisector of a line cuts through the line at its midpoint perpendicularly (90°).

Let's find the slope of the line segment.

\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }slope=x1−x2y1−y2

Slope of line segment

= \frac{4 - ( - 8)}{5 - ( - 7)}=5−(−7)4−(−8)

= \frac{4 + 8}{5 + 7}=5+74+8

= \frac{12}{12}=1212

= 1

The product of the slopes of 2 perpendicular lines is -1.

Let the slope of the perpendicular bisector be m.

m(1)= -1

m= -1

y= -x +c

To find the value of c, substitute a pair of coordinates in which the line passes through into the above equation.

Since the perpendicular bisector cuts through the midpoint of the line segment, let's find the coordinates of this midpoint.

\boxed{midpoint = ( \frac{x _{1} + x _2}{2} , \frac{y_1 + y_2}{2} )}midpoint=(2x1+x2,2y1+y2)

Midpoint of line segment

= ( \frac{5 - 7}{2} , \frac{4 - 8}{2} )=(25−7,24−8)

= ( \frac{ - 2}{2} , \frac{ - 4}{2} )=(2−2,2−4)

= (-1, -2)

y= -x +c

When x= -1, y= -2,

-2= -(-1) +c

-2= 1 +c

c= -2 -1

c= -3

Thus, the equation of the perpendicular bisector is y= -x -3.

Which of the following equations represents the graph shown? ​

Answers

Answer:

F(x)=-x+2

Step-by-step explanation:

equation

mx+b

m= slope

x

b = y-intercept

the local store where tim shops charges a 7% sale tax for clothing complete the table by figuring the cost of jeans after tax is applied the first row is done

Answers

Answer:

$51.36

$77.04 i think

Step-by-step explanation:

Multiply the cost of the number of pairs of jeans by the sales tax amount, 7%.

cost of 2 pairs:   48 + 7/100 x 48 = $51.36

 

cost of 3 pairs:   72 + 7/100 x 72 = $77.04

 

Dean ran 5 miles this week and wants to know how many kilometers he ran. His work is below.

Answers

Answer:

Dean ran 8.0467 kilometers

Step-by-step explanation:

First, you need to know how much kilometers are in a mile. 1 mile is 1.60934 kilometers, so once you found that out, then you would do 1.60934x5 which gets you 8.0467. Hope it helps!

!PLS HELP ASAP 30 POINTS !Determine the seating of an auditorium with 35 row of seats if there are 10 seats in the first row, 13 seats in the second row, 16 seats in the third row, 19 seats in the forth, and so on. What is the total number of seats?

Answers

Answer: 2135

step by step explanation:

I don't really think this is necessary

What is the y-intercept of the line?
1
-2
1/2
0

Answers

Answer: 1

The y inter is the line going vertically
So just find where the line meets the graph

Answer:

The y-intercept is 1.

Step-by-step explanation:

The y-intercept is where a line crosses the y-axis, so from looking at the graph, we can see that it crosses at (0,1), giving you a y-intercept of 1.

Multiply: x^1/6(x^1/6+x^3/4)

Answers

[tex]x^{\tfrac 16} \left(x^{\tfrac 16} + x^{\tfrac 34} \right)\\\\\\=x^{\tfrac 16} \cdot x^{\tfrac 16} + x^{\tfrac 16} \cdot x^{\tfrac 34}\\\\\\=x^{\left(\tfrac 16 + \tfrac 16\right)} + x^{\left(\tfrac 16 +\tfrac 34\right)}\\\\\\=x^{\tfrac 26} + x^{\tfrac {11}{12}}\\\\\\=x^{\tfrac 13} +x^{\tfrac{11}{12}}[/tex]

3. Write an equation in slope-intercept form for the line with a slope of 5/4 and a
y-intercept of 2.

Answers

Answer:

y = [tex]\frac{5}{4}[/tex] x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{5}{4}[/tex] and c = 2 , then

y = [tex]\frac{5}{4}[/tex] x + 2 ← equation of line

Help help math please I’m stuck help help help

Answers

Answer:

12x

Step-by-step explanation:

I am not really sure how to explain it I just looked it up

Translate and simplify: the product of –12 and the difference of p and q.

Answers

Hey there!

“Product” is multiplication so let’s say it means “multiply” & “difference” is subtraction so let’s say it means “subtract”

p & q is/are the variables, whereas -12 is a coefficient

“The [PRODUCT of -12] and the [DIFFERENCE of p & q]”

Product = multiply/multiplication

“-12 ×”

DIFFERENCE

“p - q”

So, based on that information we have your answer: “-12 × p - q”

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Pls answer and give explanation will give brainiest

Answers

Answer:

I don't know

Step-by-step explanation:

Answer:

11/18

Explanation:

Find the LCM

6 × 3 = 18

9 × 2 = 18

Since you found the LCM, multiply the numerators by the number you multiplied the denominators by.

[tex]\frac{5 *3}{6*3}= \frac{15}{18}[/tex]

[tex]\frac{2*2}{9*2}=\frac{4}{18}[/tex]

Now subtract.

[tex]\frac{15}{18} -\frac{4}{18} =\frac{11}{18}[/tex]

Tell whether tripling the dimensions of a square pyramid would triple the
surface area.

Answers

No. Tripling the dimensions (the side of the square base and the height) would increase the surface area of the pyramid by a factor of [tex]3^2[/tex] or [tex]9[/tex]

Let

[tex]h=\text{the height of the pyramid}\\s=\text{length of one side of the square base}\\t=\text{total surface area of the pyramid}[/tex]

The total surface area of the square-based pyramid is given by

[tex]t=b(b+\sqrt{4h^2+b^2})[/tex]

Let the tripled dimensions be given by [tex]B=3b[/tex] and [tex]H=3h[/tex], then the new surface area will be

[tex]T=B(B+\sqrt{4H^2+B^2})\\=3b(3b+\sqrt{4(3h)^2+(3b)^2})\\=3b(3b+\sqrt{9(4h^2+b^2)})\\=3b(3b+3 \sqrt{4h^2+b^2})\\=9b(b+\sqrt{4h^2+b^2})\\=9t[/tex]

The new surface area will be greater than the original by a factor of [tex]9[/tex]

Learn more about scale factors here: https://brainly.com/question/1440011

Answer:  It will be more than triple the area because you square the side to find the area of the base.

Step-by-step explanation:

It will be more than triple the area because you triple the side to find the area of the base. To calculate the surface area of a square pyramid, you need to first calculate the area of the base. To do this, you will need to multiply the length of one side of the square by itself (or square it). Since you are tripling the dimensions of the square pyramid, you will need to triple the side of the base, which will result in an area that is more than three times larger.

Which expression is equivalent to w • 35?

Answers

Answer:W= B-3 or 3=B-W

Step-by-step explanation:

The answer would be equal to W=b-3 +W=b

when is a supplier standards form required to be provided to the beneficiary cvs

Answers

Answer:

AOB forms must be collected every time a beneficiary fills a Medicare part b prescription

What is the solution to this system?
8

Answers

Answer:

(2,2)

Step-by-step explanation:

The solution to a system is the point on the graph where both lines intersect.

A train travels from point A to B at a speed of 100km/h. how long it will take to travel 25 km

Answers

Answer:

Step-by-step explanation:

25 km / 100 km/hr = 0.25 hr or 15 minutes

It will take 0.25 hours to travel 25 km.

Given

A train travels from point A to B at a speed of 100km/h.

Distance;

Distance is defined as the product of speed and time.

The following formula is used to calculate the time;

[tex]\rm Time =\dfrac{Distance}{Speed}\\\\[/tex]

Substitute all the values in the formula;

[tex]\rm Time =\dfrac{Distance}{Speed}\\\\\rm Time =\dfrac{25}{100}\\\\Time = 0.25 \ hours[/tex]

Hence, it will take 0.25 hours to travel 25 km.

To know more about distance click the link given below.

https://brainly.com/question/3615948

a bike cost 129.90 what is your total with a tax of 5%

Answers

Answer:

so you just use the equation to get the formula and extract the common denominator

Step-by-step explanation:

because i said so

Please someone help me i dont want fail

Answers

Answer:

D

Step-by-step explanation:

(point D)

Answer:

Point D

Step-by-step explanation:

5 units right on the x axis, 3 units down on the y-axis.

Freddy’s savings account went from $520 to $321 after he purchased a new bike. What was the percent decrease? *

Answers

If my calculations are correct, the percentage decrease faced here is roughly 38.2%. Based on the calculations, the bicycle costs 199$ and when the cost is subtracted from 520, you would create the percentage of 38.2%.

Mai skated x miles, and Clare skated 2 times farther than that. Write an equation to represent the relationship between the distance Mai skated (x) and the distance Clare skated (y).

Answers

Y=x2

Y=the answer
X= Mai skated
X2= Mai’s distance times 2 equals Clare’s distance

Can you guys please help!!!!! I need to know what 13x4=nx26 means???!!!!????

Answers

Answer:

n = 34/13

Step-by-step explanation:

13 x 4 = n x 26

=> 68 = 26n

=> n = 68/26

=> n = 34/13

Therefore, n = 34/13

Hoped this helped.

[tex]GeniusUser[/tex]

If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is what?

Answers

we can change cos to sin by saying cosx=sin(90-x)

now we drop sin and make the angles equal (nothing needs to be added or subtracted since its in the first quadrant)

90-x=20+x+k.360.......kEZ (k is an element of set of integers) (we say k.360 if it's cos and sin and k.180 if it's tan)

-x-x=20-90+k.360........kEZ

-2x=-70+k.360.........kEZ

divide all terms by -2

x=35-k.180.......kEZ

Answer:

x=35°

Step-by-step explanation:

If cos x = sin(20 + x)° and 0° < x < 90°, the value of x is 35°.


A house on the market was valued at $233,000. After several years, the value decreased by 15%. By how much did the house's value decrease in dollars? What
is the current value of the house?
Decrease in value:

Current house value:

Answers

Answer:

decrease: $34,950current value: $198,050

Step-by-step explanation:

The decrease in value is ...

  15% of $233,000 = $34,950

The current house value is ...

  $233,000 -34,950 = $198,050

A farmer has 220 bushels of apples to sell at roadside stand. She sells an average of 14 3/5 each day. Represent the total change in the number of bushels has for sale after 6 days.The total change in the number of bushels has for sale is ???, please answer as a fraction

Answers

Answer:

Step-by-step explanation:

He has sold (16+1/4) bushels/day x 5 days = (16 x 5) + (1/4 x 5) = 80 + 5/4 = 81 + 1/4 = 81.25

The change in the number of bushels is 140 - 81.25 = 58.75 or 58 and 3/4 bushels

In other words, he has 58.75 (or 18 and 3/4) bushels remaining and has sold 81.25 (or 81 and 1/4) bushels

Which ordered pair is a solution of the inequality
y < 3x + 1?
(-3,-2) (1,-3) (3,14) (1,6)

Answers

Answer:

the answer is the 4 option

Extended Problems, Extraneous Solutions
I need help asap please, this is due in 1 day!
100 POINTS

Answers

Answer:

1a. 2 is the solution

1b. -3 is because square root of 1 doesn't equal -1.

1c.-3

Step-by-step explanation:

1.

[tex](x + 2 = \sqrt{3x + 10} [/tex]

Square both sides

[tex](x + 2) {}^{2} = 3x + 10[/tex]

Remeber perfect square Rule

[tex](x + y) {}^{2} = {x}^{2} + 2xy + {y}^{2} [/tex]

So now we got

[tex]x {}^{2} + 4x + 4 = 3x + 10[/tex]

[tex] {x}^{2} + x + 4 = 10[/tex]

[tex] {x}^{2} + x - 6 = 0[/tex]

Factor into binomial.

[tex](x + 3)(x - 2) = 0[/tex]

So our solution is 3 or 2. However, let's check our work.

[tex] - 3 + 2 = \sqrt{3( - 3) + 10} [/tex]

[tex] - 1 = \sqrt{1} [/tex]

However square root of 1 is 1. It could be 1 but in Math, We only take the principal square root which is positive always. So -3 isn't a solution.

So let try 2.

[tex]2 + 2 = \sqrt{3(2) + 10} = 4 = \sqrt{16} = 4 = 4[/tex]

So this is indeed the solution.

Make up equation for 2 and 3. Ask me if you need help.

The chart below shows the number of tickets to the annual teachers VS.
students basketball game. What was the most number of tickets sold?

A. 12

B. 31

C. 40

D. 60

Answers

The answer to this question is A. 12

The most no. of tickets sold is 60.

What is bar graph?

The pictorial representation of data in the form of vertical or horizontal rectangular bars, whose length is proportional to the data's measurement, is known as a bar graph. Data are typically grouped in this way. Bar charts are another name for them. In statistics, bar graphs are one way to handle data.

Given  the graph between total student and number of ticket sold,

where students shown in Y axis and tickets sold in X axis,

as Shown in graph maximum number of tickets sold are 51 to 60

Hence the maximum number of ticket sold is 60.

Learn more about bar graph;

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#SPJ2

7. at + b = ar – c
Solve for a

Answers

okkkkkkkkkkkkkkkkkkkkkkkkkkk

what is the answer? SIMPLE

Answers

Answer:

true i think

Step-by-step explanation:

The answer is true as opposite angles are equal as there are parallel lines

Sifu has 6 girls and 8 boys in his karate class. He randomly selects one student
to demonstrate a self-defense technique. Find the probability of each event

Answers

Answer:

half-class

Step-by-step explanation:

Answer:

42.86%

Step-by-step explanation:

Event = Girl

Therare 6 girls and 8 boys, which are thus 6+8 =14 students in total and thus there are 14 possible out comes.

# of possible outcomes = 14

There are 6 girls in the class and thus there are 6 favorable outcomes.

# of favorable outcomes = 6

The probability is the number of favorable outcomes divided by the number of possible outcomes.

P(Girl) = # of favorable outcomes

            # of possible outcomes

= [tex]\frac{6}{14}[/tex]

= [tex]\frac{3}{7}[/tex]

≈ 0.4286

= 42.86%

Result

[tex]\frac{3}{7}[/tex] ≈ 0.4286 = 42.86%

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