A= 20 square root of 2
B= 5
C=20
D=10

Answer:

The value of x is 3

Step-by-step explanation:

∵ Quadrilateral ABCD is congruent to quadrilateral JKLM

∴ AB = JK and BC = KL

∴ CD = LM and AD = JM

∵ BC = 8x + 7

∵ KL = 31

∵ BC = KL

→ Equate their right sides

∴ 8x + 7 = 31

→ Subtract 7 from both sides

∵ 8x + 7 - 7 = 31 - 7

∴ 8x = 24

→ Divide both sides by 8 to find x

∴ [tex]\frac{8x}{8}[/tex] = [tex]\frac{24}{8}[/tex]

∴ x = 3

∴ The value of x is 3

Answer:

A parallelogram is a rectangle if and only if its diagonals are congruent. A rectangle is a parallelogram with four right angles. A rhombus is a parallelogram with four congruent sides. If a parallelogram has two consecutive sides congruent, it is a rhombus.

Step-by-step explanation:

Answer:

Option A: y-9=2(x-1)

Step-by-step explanation:

Notice that the answer choices are in point-slope form which is y-y1=m(x-x1)

The slope, m, is (9-3)/(1-(-2))=6/(1+2)=6/3=2, but that's given anyway.

Option A would be right because y1=9 and x1=1 which is where the line crosses through (1,9)

B is not right because that would suggest the line crosses (2,3) as y1=3 and x1=2, but it actually crosses (-2,3) so it should've been y-3=2(x+2)

C and D are wrong because the points aren't crossed through

Answer:

8. D

10. D

12. B

if the lines are parallel, then the slopes are the same. if it's a perpendicular line then the slope is the opposite reciprocal.

Answer:

Step-by-step explanation:

If 1 /20  will not bear fruit then

  19/20.  Will bear fruit

use ratio method

19/20  = x/200

find x by finding an equivalent fraction

x = 190

190 plants will produce fruit

Answer:

The y intercept is 200

Step-by-step explanation:

Given

Base Cost = 200

Per person =8

Required

Determine the y intercept

First, we need to determine the equation.

The total amount (y) for x persons can be calculated using:

y = Base Cost + Amount per person * x.

This gives

y = 200 + 8 * x

y = 200 + 8x

The general expression of a linear equation is:

y = mx + b

Where b = y intercept

By comparison,

b = 200

Hence, the y intercept is 200

Answer:

y=0.20x+40; y=1.00x

Step-by-step explanation:

Company 1 is charging upfront and then after u have a unknown variable for how many miles you drive. Company 2 is only charging you 1.00$ per mile driven and depending on how many miles you drove will depend on how much you will pay.

Answer:r=C/2π

Step-by-step explanation:

Answer: m∠5 = m∠7 = 67°

because a//b => m∠4 + m∠5 = 180°

⇔ 113° + m∠5 = 180°

⇔ m∠5 = 180 - 113 = 67°

because ∠5 and ∠7 are  2 opposing angles

=>  m∠5 = m∠7 = 67°

Step-by-step explanation:

Answer:

Step-by-step explanation:

Angles 4 and 5 are same side interior angles and their measures add up to 180° as per definition:

Angles 5 and 7 are vertical angles and they have equal measure as per definition of vertical angles:

Answer:

-19+n

OR

n-19

Step-by-step explanation:

Answer:

1681

Step-by-step explanation:

In a four digit perfect square, the first two digits and last two digits taken seperately are also perfect squares.

Therefore, the answer is 1681 because 1681=41*41 and

16=4*4 and 81=9*9

Answer:

first one is 4

second is   2

Step-by-step explanation:

let me know if you need to  show work

Answer:

first one is 4, 2nd one is 2

Step-by-step explanation:

Answer:

45 cm^2

Step-by-step explanation:

Dividing the shape into the two separate components of a square and a triangle makes it easier.

The square area is found by multiplying the side by the side, 6cm*6cm which gives us 36cm^2.

Then the triangle the height is 3cm and the base is 6cm. Using the formula 1/2*base*height.

Which would be 1/2*6*3=9cm^2.

Adding the two, 9+36= 45cm^2.

Answer:

true

Step-by-step explanation:

Answer:

S = $336

Step-by-step explanation:

Given the following data;

Principal, P = $600

Rate, R = 7

Time, T = 8 years

To find the simple interest?

Mathematically, it is given by the formula;

Simple interest, S = (P*R*T)/100

Substituting into the equation, we have;

S = (600*7*8)/100

Simplifying the equation, we have;

S = 6*7*8

S = $336

Answer: Is the answer is 10x+6? You didn’t even show what can I do for your math expression, I thought it was simplified expression.

Step-by-step explanation: