For ΔJNM, the following facts are given: KL || MN
KL = 8 ft MN = 10 ft JL = 3.2 ft MK = 1.5 ft
Answer the following:
a) Is ΔJNM ~ ΔJLK? Support your answer with a postulate or theorem. b) Find the length of JN. Show all your work.
c) Find the length of JK. Show all your work.
d) What is the area ratio of ΔJNM to ΔJLK? Show all your work.

Answer: 9.90

Step-by-step explanation:

tan 48= 11/x

1.11=11/x

1.11x=11

x=9.90

Answer:

4/5

Step-by-step explanation:

I believe this is looking for a fraction? 4 over 5 or 4/5 means 4 out of 5.

Answer:

£4.80

Step-by-step explanation:

Total amount =  £3.20

Ratio = 2 : 3

Old : New = 2 : 3

3.20 : x = 2:3

[tex]\frac{3.20}{x}=\frac{2}{3}\\\\3.20*3=2*x\\\\\frac{3.20*3}{2}=x\\\\x = 1.60 *3\\[/tex]

x = £ 4.80

Answer:

11 inches

Step-by-step explanation:

7^2+8^2=c^2

49+64=c^2

113=c^2

square root both side

c=10.63014581

round up and get c=11

hope this helped :)

Answer: $60

Step-by-step explanation:

Answer:

I think that there is a limit on the number of times  you can withdraw or transfer money in your savings account because banks only maintain a small percentage of the money people deposit on the savings accounts and most of the money is used for loans and they need to limit that to be able to have enough reserves to cover the withdrawals. If they don't put a limit people can try to withdraw all the money at the same time and the bank would not have the funds to cover that.

Answer:

2x² + 4x + 1

Step-by-step explanation:

Given the question :

4x^3+18x^2+22x+5 divided by 2x+ 5

Dividend = 4x^3+18x^2+22x+5

Divisor = 2x + 5

In other to ensure question is answered clearly and reasonably, the solution Using long division haa been worked out and attached as a picture

Given:

The pairs of angles are:

36°,24°

18°,72°

96°,84°

To find:

Whether each pair of angle measurements are complementary, supplementary or neither.

Solution:

Two angles are complementary if there sum is 90 degrees.

Two angles are supplementary if there sum is 180 degrees.

For 36° and 24°,

[tex]36^\circ+24^\circ =60^\circ[/tex]

So, this pair is neither complementary not supplementary.

For 18° and 72°,

[tex]18^\circ+72^\circ =90^\circ[/tex]

So, this pair is complementary.

For 96° and 84°,

[tex]96^\circ+84^\circ =180^\circ[/tex]

So, this pair is supplementary.

Answer:

C

Step-by-step explanation:

Your answer is C this is just observation so no need for explanation

Answer:

13 servings

Step-by-step explanation:

(11/10) / (2/25)

= 13.75

She can make 13 servings [not enough to make up to 14 servings]

Answer:

100 students.

Step-by-step explanation:

You multiply the whole times the percentage. i.e) 0.4x250 or 40% x 250.

Answer:

10 by 3

Step-by-step explanation:

When 4 by 3 water is sufficient to water 2 by 5 of the plants so the water i.e. required to water all the plants is 10 by 3

As here we multiply both the fractions by reciprocal the second fraction

So the water i.e. needed to water all plants is 10 by 3

Answer:

x = 31.11

Step-by-step explanation:

Let us assume the third person receives be  x

Now the second person receives be 2x

And, the second  be 3(2x) = 6x

The total is 280

Now the equation is

x + 2x + 6x = 280

9x = 280

x = 31.11

Answer:

(5,3)

Step-by-step explanation:

I plotted the point (3,1) on desmos graphing caculator and labeled it as the vertex.

Next I plotted the point (1,3).

Then I counted the spaces between point 1,3 and 3,1 as shown in the picture

Finally I graphed the point and connected the lines to make sure it looked like a parabola.

Answer:

False

Step-by-step explanation:

ok so

9 + 4 = 13

-13 * 13 = -169

79 + 16 = 95

-165 does not equal 95

Hope this helps!!

Answer:

$39

Step-by-step explanation:

32.50:100 × 20 = $6.50

32.50+6.50 = $39

Answer:

Holes got it right :)

Step-by-step explanation:

Answer

difficulty levels

Step-by-step explanation:

took the test

sorry different question

Answer:

this question doesn't make sense

Answer:

4.00,5.00,6.00,6.00,6.00,6.00,7.00,7.00

Step-by-step explanation:

Mean  5.875

Median  6

Mode 6.00

Answer:

there are 25 1/5 cups

Step-by-step explanation:

25/5=5

hope this helps

Answer:

25 servings

Step-by-step explanation:

to fill one cup, 5 servings would have to be, um... served.

for 5 cups, it would have to be 5 cups in each of the 5 cups, so 5 * 5, which makes 25 servings

(p.s., pls mark me brainliest, and have a great day!)

Answer:

10.5618feet, 0.8125sec

Step-by-step explanation:

Given the height reached by the catapult expressed by the equation H=-16T^2+26T

At the maximum height, the velocity of the object is zero, hence;

v = dh/dt = 0

-32t + 26 = 0

-32t = -26

t = 26/32

t = 0.8125secs

Hence it will attain the maximum height after 0.8125second

Substitute t = 0.8125s into the expression to get the maximum height

H=-16t^2+26t

H = -16(0.8125)^2 + 26(0.8125)

H = -16(0.6602) + 21.125

H = -10.5632+21.125

H = 10.5618

hence the maximum height reached by the ball is 10.5618feet

Answer:

-8n² - 8n + 3

Step-by-step explanation:

Combine like terms (terms with the same variables, as well as the same amount of that variable).

(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

First, distribute the negative sign to all terms within the second parenthesis:

4n⁴ - 8n + 4 - 8n² - 4n⁴ - 1

Combine like terms:

(4n⁴ - 4n⁴) - 8n² - 8n + (4 - 1)

-8n² - 8n + 3

-8n² - 8n + 3 is your answer.

Answer:

Option 3

Step-by-step explanation:

Answer: 90

Step-by-step explanation:

Answer:

90m

Step-by-step explanation:

you have to cross multiply.

1) multiply (12 * 15) and multiply 2 * X)

2) you get 180 = 2x

3) to get X alone divide 180 by 2 and you will get 90meters

Answer:

x=10

Step-by-step explanation:

work in the photo

Answer:

x=10

Step-by-step explanation:

Subtract 3 from both sides

2x=23-3

Simplify 23-3 to 20

2x=20

Divide both sides by 2  

x=  2 0/2

Simplify 20/2 to 10

x=10

​  

Answer:

2 × pi × radius

..................

Answer:

y=27

Step-by-step explanation:

Hello There!

The shown angles are alternate exterior angles

Alternate exterior angles are congruent so

3y+53=7y-55

step 1 add 55 to each side

-55+55 cancels out

53+55=108

now we have

3y+108=7y

step 2 subtract 3y from each side

7y-3y=4y

now we have

4y=108

step 3 divide each side by 4

4/4y=y

108/4=27

we're left with y = 27

Answer:

y = 27

Step-by-step explanation:

The two lines cut by a transversal are parallel, so alternate exterior angles are congruent.

7y - 55 = 3y + 53

4y = 108

y = 27

Answer:

x = 0

Step-by-step explanation:

24 - (3x - 9) - 6 = -2(4x - 10) + 5x + 7

solve the brackets by using the distribute property:

1(3x - 9) = 3x - 9

-2(2x - 10) = -8x + 20

rewrite the equation:

24 - 3x - 9 - 6 = -8x + 20 + 5x + 7

combine like therms:

27 - 3x = -3x + 27

subtract 27 from both sides:

27 - 3x - 27 = -3x + 27 - 27

- 3x = -3x

add x to both sides of the equation:

-3x + 3x = -3x + 3x

x = x or 0 = 0

to check, substitute 0 for x

24 - (3(0) - 9) - 6 = -2(4(0) - 10) + 5(0) + 7

anything times 0 is 0

24 - (0 - 9) - 6 = -2(0 - 10) + 0 + 7

solve:

24 + 9 - 6 = 0 + 20 + 0 + 7

27 = 27

Answer:

52(9/7)^t/1.5

Step-by-step explanation:

The function N(t) a which models the number of branches t years after Aleksandra began studying her trees ;

Initial number of branches = 52

Increment every 1.5 years = 2/7

N(t) = Initial * (1 + r)^t

t expressed per year = t/1.5

Hence,

N(t) = 52(1 + 2/7)^t/1.5

N(t) = 52(9/7)^t/1.5

Answer:

c

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The volume (V) of a cone is calculated as

V = [tex]\frac{1}{3}[/tex] πr²h ( r is the radius and h the height )

Here V = 226 and r = 12 ÷ 2 = 6 , then

[tex]\frac{1}{3}[/tex]π × 6²h = 226 ( multiply both sides by 3 to clear the fraction )

3.14 × 36h = 678

113.04h = 678 ( divide both sides by 113.04 )

h = [tex]\frac{678}{113.04}[/tex] ≈ 6 m ( to the nearest metre )