Quadrilateral JKLM is graphed with vertices at J(-2,2), K(-1,-5), L(4,0), and M(3,7).

A) Prove that the diagonals JL and MK have the same midpoint.
B) Prove that segments JL and MK are perpendicular.​

Answer:

1/4

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

1) Piece lengths are:

=> 4 cm

=> 8 cm

=> 16 cm

2) Meters of curtain in bundles are :

=> 120 m

=> 300 m

=> 420 m

[tex]\bold{\huge{\underline{ Solution 1 }}}[/tex]

Let the given ratios be 1x, 2x and 4x

According to the question,

[tex]\sf{ x + 2x + 4x = 28}[/tex]

[tex]\sf{ 7x = 28}[/tex]

[tex]\sf{ x = }{\sf{\dfrac{28}{7}}}[/tex]

[tex]\sf{ x = }{\sf{\cancel{\dfrac{28}{7}}}}[/tex]

[tex]\bold{ x = 4}[/tex]

Thus, The value of x is 4

Length of first piece = 4 cm

Length of second piece

[tex]\sf{ = 2}{\sf{\times{4}}}[/tex]

[tex]\bold{ = 8\: cm }[/tex]

Length of third piece

[tex]\sf{ = 4}{\sf{\times{4}}}[/tex]

[tex]\bold{ = 16 \:cm }[/tex]

Hence, The length of each piece of board is 4 cm , 8cm and 16cm .

[tex]\bold{\huge{\underline{ Solution 2 }}}[/tex]

Let the given ratios be 2x, 5x and 7x

According to the question,

[tex]\sf{ 2x + 5x + 7x = 840}[/tex]

[tex]\sf{ 14x = 840}[/tex]

[tex]\sf{ x = }{\sf{\dfrac{840}{14}}}[/tex]

[tex]\sf{ x = }{\sf{\cancel{\dfrac{840}{14}}}}[/tex]

[tex]\bold{ x = 60}[/tex]

Thus, The value of x is 60

Length of the first bundle of curtains

[tex]\sf{ = 2}{\sf{\times{60}}}[/tex]

[tex]\bold{ = 120\: m }[/tex]

Length of the second bundle of curtains

[tex]\sf{ = 5}{\sf{\times{60}}}[/tex]

[tex]\bold{ = 300\ : m }[/tex]

Length of the third bundle of curtains

[tex]\sf{ = 7 }{\sf{\times{60}}}[/tex]

[tex]\bold{ = 420\: m }[/tex]

Hence, The length of each bundle of curtains is 120m, 300 m and 420 m

Answer:

a) [tex]g(x) = 600 \cdot 1.05^x[/tex]

b) $2,593.17

Step-by-step explanation:

1) a)  Using compound interest formula: [tex]y=a(1+r)^x[/tex]

where a is the starting amount, r is the rate in decimal format, and x is the number of years

Given:

[tex]\implies g(x) = 600 \cdot 1.05^x[/tex]

b) when x = 30

[tex]g(x) = 600 \cdot 1.05^{30}=\$ 2,593.17[/tex]

Answer:

x = 64 weeks

Step-by-step explanation:

Based on the quantity of water in the tanks and the leakage rate, the two tanks will be equal after 64 weeks.

The first tank has 256 gallons and is leaking at 3 gallons per week. Assuming the number of weeks is x, the expression is:

= Water in tank - (Gallons leaking per week x No. of weeks)

= 256 - (3 × x)

= 256 - 3x

The second tank:

= 384 - 5x

To find the number of weeks they would be equal, equate both tanks:

384 - 5x = 256 - 3x

384 - 256 = -3x + 5x

128 = 2x

x = 128 / 2

Answer:

•26.376 units

•23.236 units

•34.54 units

•59.66 units

Step-by-step explanation:

The formula for the circumference of a circle is ...

 C = 2πr = πd

 C = 2(3.14)r = 6.28r   or   C = 3.14d

 where r is the radius and d is the diameter.

Put the given radius or diameter into the relevant formula and compute the product. The results are all in "units".

 r = 4.2   ⇒   C = 6.28×4.2 = 26.376

 d = 7.4   ⇒   C = 3.14×7.4 = 23.236

 d = 11   ⇒   C = 3.14×11 = 34.54

 r = 9.5   ⇒   C = 6.28×9.5 = 59.66

Answer:

4275

Step-by-step explanation:

You have to do 95 * 45

The way I do this would be, 95 is close to 100, and doing 100 * 45 is much easier than 95 * 45.

100 * 45 is 4500 but ofc that isn't the answer, since we are using 100 and not 95 we have to subtract 5 * 45 which is also a fairly simple equation to solve

5*45 is 225, so what we have to do now is take our 4500 and subtract our 225

4500 - 225 = 4275

Answer:

4,275

Step-by-step explanation:

Give 95 people for each game.

there is only one easy step, you multiply:

[tex]95*45=4275[/tex]

hope this helped!
Brainliest Please!

Answer:

3/8

Step-by-step explanation:

÷ both sides by 40 =

3/8

Answer:

214+25=239

Step-by-step explanation:

Answer:

Hey!!

Here is your answer

a) For x = 27:

z = 27-28/2 = -0.5

For x = 31:

z = 31-38/2 = 1.5

From the normal distribution table, P(27 < x < 31) = P(-0.5 < z < 1.5) = P(z < 1.5) - P(z < -0.5) = 0.9332 - 0.3085 = 62.47%

b)  For x > 30.2:

z = 30.2-28/2 = 1.1

From the normal distribution table, P(x > 30.2) = P(z > 1.1) = 1 - P(z > 1.1) = 1 - 0.8643 = 13.57%

Answer:

16.86 in²

Step-by-step explanation:

Area of rectangle = 5 * 4 = 20 in²

Area of circle = π(1)² = 3.14 in²

So the area of shaded region = 20 - 3.14 = 16.86 in²

Answer:

c

Step-by-step explanation:

Answer:

3 is your answer

Step-by-step explanation:

y divided by x gives the proportionality

3

To find the constant of proportionality, you divide x from y.

6/2= 3

9/3= 3

12/4= 3

15/5= 3

So, the constant of proportionality is 3.

Answer:

Type of drink given to each group

Step-by-step explanation:

Step-by-step explanation:

100% = X

50% = 100%/2 = X/2

X decreased by 50 means X - 50% = X - X/2 = X/2

now,

100% = X/2

50% = 100%/2 = X/2 / 2 = X/(2×2) = X/4

increasing the previous result by 50% means

X/2 + 50% = X/2 + X/4 = 2X/4 + X/4 = 3X/4

so, comparing this to the original X (= 4X/4), we are X/4 short.

Answer:

i caint see your question

Step-by-step explanation:

Answer:

exact- 29 25/27

estimated- 30

Answer:

Multiply , add and then you get your solution.

Step-by-step explanation:

y=2(-3)+3

y= -6+3

y= -3

Answer:

74°

Step-by-step explanation:

m(arc)JKL = 2 × 99° = 198°

8x - 6 + 12x + 4 = 198

20x - 2 = 198

20x = 200

x = 10

m(arc)KJ = 8x - 6 = 8(10) - 6 = 74°

Answer:

new price: $2.9295

Explanation:

original price: 100%

new price: 100% + 5% = 105%

solve:

$2.79 * 105%

$2.9295

Answer:

O A. 26

Step-by-step explanation:

26 has occurred maximum number of times.

So, Mode of the given data value is 26

We know any prism has the below formula if volume

Here

[tex]\\ \rm\hookrightarrow V=15(6)=90cm^2[/tex]

Answer:

90

Step-by-step explanation:

To find volume you multiply the base and height so if you multiply 15 and 6 that is 15 x 6 = 90

Solution:

We know that:

Substitute the parallel side lengths and the height in the formula to find the area of the trapezoid.

Substituting the parallel side lengths and the height in the formula:

Simplifying the RHS:

Thus, the area of the trapezoid is 28 units².

[tex]\\ \rm\Rrightarrow Area=\dfrac{1}{2}(Sum\:of\: parallel\:sides)\times Height [/tex]

[tex]\\ \rm\Rrightarrow Area=\dfrac{1}{2}(9+5)(4)[/tex]

[tex]\\ \rm\Rrightarrow Area=14(2)[/tex]

[tex]\\ \rm\Rrightarrow Area=28units^2[/tex]

Answer:

1000 yards

Step-by-step explanation:

First, create a triangle using the two known amounts.

12 blocks east will act as your base and 16 blocks south as your height. Connect these two lines to form a triangle.

This becomes a matter of the Pythagorean theorem or A^2 + B^2 = C^2

A= 12

B= 16

12^2 + 16^2 = C^2

400 = C^2

C= 20 blocks

Multiply this number by 50 to get the number in yards.

20 * 50 = 1000 yards

Step-by-step explanation:

2 and 9

3 and 7

4 and 8

what I see right away : the only pair whose sum is a prime number (or only just an uneven number) is 2 and 9.

2 + 9 = 11

3 + 7 = 10

4 + 8 = 12

just because these sums are even numbers they cannot be prime numbers and are "out".

A composite number is a positive integer that can be formed by multiplying two smaller positive integers different than 1.

so, the product of 2 numbers is therefore always a composite number, and the question in that direction is completely redundant (without any additional meaning).

so, again, 2 and 9 is the right answer.

Answer: D

Step-by-step explanation:

21/17.5 = 18/15

So the triangles are similar by SAS.

Answer:

B is the wrong one

Step-by-step explanation:

-7 is less than -9

Answer:

-2 < -9

Step-by-step explanation:

8 > -9

true

-7 > -9

true

-8 < -4

true

-2 < -9

false

Hope this helps!