Mathematics College

given the segments as shown for what value of x is the figure a rectangle
A. 5.
B. 7
C. 3
D. 9

Given The Segments As Shown For What Value Of X Is The Figure A Rectangle A. 5. B. 7 C. 3 D. 9

Answers

Answer 1

Answer:

[tex]x = 7[/tex]

Step-by-step explanation:

Required

Determine the value of x

The diagonals of a rectangle are equal.

So:

[tex]x + 5 + 2x -2 = 3x -9+4x - 16[/tex]

[tex]x + 2x + 5 - 2 = 3x +4x - 9 - 16[/tex]

[tex]3x + 3 = 7x -25[/tex]

Collect Like terms

[tex]3x-7x=-25-3[/tex]

[tex]-4x=-28[/tex]

[tex]x = \frac{-28}{-4}[/tex]

[tex]x = 7[/tex]

Related Questions

find slope of the line that passes through the two points (3,11) and (9,16)​

Answers

Answer:

5 over 6

Step-by-step explanation:

y2-y1 over x2-x1 is the equation you need. Y2 in this case is 16, Y1 is 11 and X2 is 9 and X1 is 3 so then you just plug it is. 16 - 11 is 5 and 9 - 3 is 6

After a gas-filled balloon is released, it rises 90 feet by the end of the first minute. By the end of the second minute, the balloon rises 120 feet, and by the end of the third minute, it rises 150 feet. How many feet would the balloon rise in 8 minutes?
a.
300
c.
390
b.
330
d.
660

Answers

Answer:

Its B :)

Step-by-step explanation:

Which expressions are equivalent to 16? Select each correct expression

1 to the 16th power
2 to the 4th power
4 to the 2nd power
8 to the 2nd power
16 to the power of 0
16 to the power of 1

Answers

Answer: Choose 2 to the 4th power, 4 to the 2nd power, and 16 to the power of 1

Step-by-step explanation:

When working with exponents, whatever number is the corner of another number, multiply it by itself. For instance, if you have 2 to the 4th power, multiply 2x2x2x2 which is 16. Also there is 4 to the 2nd power which is 4x4 which is also 16. Lastly you have 16 to the power of 1 and anything multiplied by 1 stays the same.

Correct choices are 2 to the 4th power, 4 to the 2nd power, and 16 to the power of 1.

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

When working with exponents, whatever number is the corner of another number, multiply it by itself.

For instance, if you have 2 to the 4th power, multiply 2x2x2x2 which is 16. Also, there is 4 to the 2nd power which is 4x4 which is also 16. Lastly, you have 16 to the power of 1 and anything multiplied by 1 stays the same.

Therefore, the correct choices are 2 to the 4th power, 4 to the 2nd power, and 16 to the power of 1.

To know more about an expression follow

https://brainly.com/question/723406

#SPJ2

Mrs. Davis and Ms. Moore bought treats for their students. Mrs. Davis bought cookies for $12.56 and Ms. Moore bought popcorn for $11.08. Another teacher, Mrs. Baynes, couldn't go to the store, but wanted to help with the cost of the treats. If the teachers split the cost evenly, how much would each teacher have to pay?​

Answers

Answer:

4.546

Step-by-step explanation:

total cost=12.56+11.08

=13.64

total no of person=3

cost for each person=13.64/3

=4.5467

You buy a house for $230,000. It appreciates at a rate
of 2.8% per year. Find the value after 15 years

Answers

Answer:

1,232,142

Step-by-step explanation:

bro just use a calculator

An item on sale costs  85% of the original price. The original price was  $75.​

Answers

Answer:

$63.75

Step-by-step explanation: I think

75 multiplied by 0.85 the answer is 63.75

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

B and C

Step-by-step explanation:

For the first one, any two shades of paint will be different if they're different numbers, and the same shade if they're the same numbers. Knowing this, we can see:

A , D, and E are all the same number (1/3) so they're all the same shade.

The remaining shades (B and C) are both 1/2 so they're the same shade.

Therefore there are two different shades of paint.

For the second one, we know that the more red the shade is, the larger the fraction will be. So we just need to look for the shades with the largest fraction. These are shades B and C, because they are both 1/2 (aka 50% red), whereas all the others are 1/3 (aka 33.3% red).

Options B and C...i hope this helps!

Ray does chores every day for a small earns $1.50 a day for washing the dish day taking out the trash. After 4 days Write and solve an equation to deter earns per day taking out the trash.​

Answers

The equation and answers is 4(1.5)= $6
because you have 4 days with 1.50 sense so you have to multiply the two to get your answer

Simplify:
3 + {[(8 ÷ 2) + 2] + 8} =

Answers

Answer:

The answer is 17

hope this helped and good luck on your test! :D

Step-by-step explanation:

Katie's baby took 3 naps. Each nap was of an hour long.
6
How long did the baby nap in all? Move numbers to the blanks to answer the question.

Answers

Answer:

18 naps

Step-by-step explanation:

We have the keyword each, so we are multiplying, so our equation is:

3 x 6 = 18

So, Katie's baby napped for 18 hours in all

Answer:

18 is the answer  

Evalute the root in the question below in the screenshot
(precalc)

Answers

Answer:

Graph attached

Step-by-step explanation:

jenkins-traub method for the complicate calculation

it has 1 real root: 1.5164

2 complex roots : neglected

Consider the line 2x+8y=8.

What is the slope of a line
parallel to this line?

What is the slope of a line perpendicular to this line?

Answers

Answer: parallel = - 1/4

Step-by-step explanation: perpendicular= 4

Answer:

Parallel = -1/4 ; Perpendicular = 4

Step-by-step explanation:

First, I'll put the line into slope-intercept form.

2x + 8y = 8

8y = -2x + 8

y = -1/4x + 1

Now we know that the slope is -1/4.

A parallel line would have the same slope of -1/4.

A perpendicular line would have a slope of 4.

Convert to centimeters: 43 meters

Answers

4300
One meter is 100 centimeters

a. The sum of a number and one is equal to one added to the number.

Answers

Equal to the number that your didviding or multiplying

PLEASE HELP ME

Determine each percentage by writing a proportion. Round to the nearest tenth if necessary.

9. What % of 30 is 21?

Answers

Answer:

70%

Step-by-step explanation:

21 ÷ 30 = 0.7 = 70%

Please mark me Brainliest! :)

Answer:

Step-by-step explanation:

21/30 * 100 = percentage

Percentage = 70%

21 is 70% of 30

:D

What is the rectangular form of z = 6(cos((3pi)/4) + i sin((3pi)/4))

Answers

Answer:

Z= -3 square root 2 + 3i square root 2

Step-by-step explanation:

Answer:

C :)

Step-by-step explanation:

got it right on edge, hope it helps

If the area of each of the triangular regions is as shown, what is the area of the polygon?

18
17
16

Answers

Answer:

18

Step-by-step explanation:

The depth (inches) of water that accumulates in the spring soil from melted snow can be determined by dividing the cumulative winter snowfall (inches) by 12. Determine the amount of winter snow that accumulates 6 inches of water in the soil.
a.
6 inches of snow
b.
84 inches of snow
c.
72 inches of snow
d.
12 inches of snow

Answers

Answer:

C

Step-by-step explanation:

its just 12 times 6

Answer:

c

Step-by-step explanation:

I took the test and got it right

A little girl kicks a soccer ball. It goes 10 feet and comes back to her. How is this possible?

Answers

Answer:

She kicked the ball upwards.

Step-by-step explanation:

:)

Answer:

She kicked the ball up. Thanks for 50 points. :)

Step-by-step explanation:

LCM of 189024
please give me answer my question​

Answers

Answer:

360

Step-by-step explanation:

We need to find the LCM of 18,90 and 24.

The prime factorization of 18 = 2 × 3 × 3

The prime factorization of 90 = 2 × 5×3×3

The prime factorization of 24 = 2 × 3×2×2

LCM is least common multiple.

LCM = 2 x 2 x 2 x 3 x 3 x 5

= 360

Hence, the LCM of 18,90 and 24 is 360.


Avery's classroom has 3 round tables and 6 square tables. Each table can seat 4 students.
Students are randomly seated at the tables as they arrive to class.
What is the probability that the first student to arrive will be seated at a square table

Answers

answer:
the answer is 13

The function f(x) = -square root x is shown on the graph.
Which statement is correct?
ТУ
7
6
5
3
The domain of the function is all real numbers less
than or equal to - 1
O The range of the function is all real numbers greater
than or equal to 0.
The range of the function is all real numbers less
than or equal to 0.
The domain of the function is all real numbers less
than or equal to 0.
2
55
14
-
2
-
3
4 5 6 7 X
-2
3
4
-5
-6

Answers

Answer:

O The range of the function is all real numbers greater

than or equal to 0.

Step-by-step explanation:

The function f(x) = -square root x is shown on the graph.

Which statement is correct?

ТУ

7

6

5

3

The domain of the function is all real numbers less

than or equal to - 1

O The range of the function is all real numbers greater

than or equal to 0.

The range of the function is all real numbers less

than or equal to 0.

The domain of the function is all real numbers less

than or equal to 0.

2

55

14

-

2

-

3

4 5 6 7 X

-2

3

4

-5

Answer:

C:domain: all real numbers

range: all real numbers greater than 1

Step-by-step explanation:

Edge 2021

Candace deposited $3,587.39 into a savings account with an interest rate of 4.2% compounded twice a year. about how long will it take for the account to be worth $5,000?

Answers

Answer:

Solution in photo

Step-by-step explanation:

Quadrilateral RUST has a vertex at R (1,2). U S What are the coordinates of R'after a dilation by a scale factor of 3, centered at the origin, followed by the translation (x, y) - (x + 2, y)?
A. (5,8)
B. (5,2)
C. (9,6)
D. (5,6)​

Answers

Answer:

D. [tex](5,6)[/tex]

Step-by-step explanation:

Let [tex]R(x,y) = (1,2)[/tex], we proceed to perform all operations described on statement:

1) Dilation

[tex]R'(x,y) = O(x,y) + k\cdot [R(x,y)-O(x,y)][/tex]  (1)

Where:

[tex]O(x,y)[/tex] - Point of reference.

[tex]R(x,y)[/tex] - Original point.

[tex]R'(x,y)[/tex] - Dilated point.

[tex]k[/tex] - Scale factor.

If we know that [tex]O(x,y) = (0,0)[/tex], [tex]R(x,y) = (1,2)[/tex] and [tex]k = 3[/tex], then the dilated point is:

[tex]R'(x,y) = (0,0) +3\cdot [(1,2)-(0,0)][/tex]

[tex]R'(x,y) = (0,0) +3\cdot (1,2)[/tex]

[tex]R'(x,y) = (3,6)[/tex]

2) Translation

[tex]R''(x,y) = R'(x,y) + T(x,y)[/tex] (2)

Where:

[tex]R'(x,y)[/tex] - Original point.

[tex]T(x,y)[/tex] - Translation point.

[tex]R''(x,y)[/tex] - Translated point.

If we know that [tex]R'(x,y) = (3,6)[/tex] and [tex]T(x,y) = (2,0)[/tex], then the translated vector is:

[tex]R''(x,y) = (3,6)+(2,0)[/tex]

[tex]R''(x,y) = (5,6)[/tex]

Therefore, the correct answer is D.

Answer:d

Step-by-step explanation:

What is the area, in square units, of the parallelogram shown below?


21
56
63
81

Answers

Answer:

63

Step-by-step explanation:

You find the area of a parallelogram the same way you would a rectangle.

A = lw or A = bh so A = (9)(7). A = 63

Answer:

C. 63

Step-by-step explanation:

To find the area of a parallelogram, it is the same formula to find a rectangles area. L x H or Base x Height.

Have a great day!

Which graph represents the solution to the system of inequalities?




{y<−4x+1
{y≥−14x

Answers

Answer:

1st graph on line 2

Step-by-step explanation:

what is 56+32 gcf and sum

Answers

Answer:

The GCF=8 The Sum=88

Which of these rational numbers is also an integer?
A - 2/4
B - 0.24
C - 4/2
D - 2.4

Answers

D because its a whole number thats not a fraction

Let [tex]\sf a+b,a-b,ab,\dfrac{a}{b}[/tex] form an arithmetic sequence. What is the sixth term of this sequence?​

Answers

Answer:

171/40 or 4 11/40

Step-by-step explanation:

AP givena + b, a - b,  ab, a/bTo find6th termSolution

Common difference

Difference of first two

d = (a -b) - (a + b) = -2b

Difference of second two

d= ab - (a - b)

Difference of last two

d = a/b - ab

Now comparing d:

-2b = ab - (a - b)ab - a = - 3ba(1 - b) = 3ba = 3b/(1 - b)

and

a/b - ab = -2ba(1/b - b) = -2ba = 2b²/(b² - 1)

Eliminating a:

2b²/(b² - 1) = 3b/(1 - b)2b/(b+1) = -32b = -3b - 35b = - 3b = -3/5

Finding a:

a = 3b/(1 - b) = 3*(-3/5) *1/(1 - (-3/5)) = -9/5*5/8 =-9/8

So the first term is:

a + b = -3/5 - 9/8 = -24/40 - 45/40 = - 69/40

Common difference:

d = -2b = -2(-3/5) = 6/5

The 6th term:

a₆ = a₁ + 5d =-69/40 + 5*6/5 = -69/40 + 240/40 =171/40 = 4 11/40

Solve the equation using mental math

1
+
= 6
11
12
4
01
35
48
052
w
WINWIN
06
072
6

Answers

I have no no problem at this time
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