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3 years ago

Use the figure below to find the distance across the river (IK)

Mathematics

1 answer:

Black_prince [1.1K]3 years ago

3 0

Step-by-step explanation:

ΔJLK = ΔNLM ( vertically opposite Δ)

ΔJKL = ΔNML ( each 90° )

so,

triangle JKL = triangle NML (by AA similarity)

JK / KL = NM / ML

JK / 21m = 42m / 49m

JK = 42 × 21 ÷ 49

JK = 18m

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-6-t/4 =-1 Please solve for t 10 points

USPshnik [31]

-6 - t/4 = -1

+6 +6

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-t/4 = 5

x -4 x -4

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t = -20

Hope this helped! :D

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2 years ago

An empty shipping box weighs 250 grams. The box is then filled with T-shirts. Each T-shirt weighs 132.5 grams. The equation re

just olya [345]

Answer:

Equation:

250 + 132.5y = x

Solution for solving for x:

x = 250 + 132.5y

Solution for solving for y:

y = (x - 250)/132.5

In this situation, the solutions mean that the equation is linear or first grade because the solutions can be calculated in any of the following four forms:

1. Adding the same number to both sides

2. Subtracting the same number from both sides

3. Multiplying both sides by the same number

4. Dividing both sides by the same number

Completing the question and statement correctly:

The equation represents the relationship between the quantities in this situation, where x is the weight, in grams, of the filled box and y the number of shirts in the box.

Step-by-step explanation:

1. Let's review all the information provided to us to answer the question correctly:

Weight of an empty box = 250 grams

Weight of each T-shirt = 132.5 grams

2. Name two possible solutions to the equation that represent the relationship between the quantities in this situation, where x is the weight, in grams, of the filled box and y the number of shirts in the box. What do the solutions mean in this situation?

x = weight, in grams, of the filled box

y = number of shirts in the box

Equation:

250 + 132.5y = x

Solution for solving for x:

x = 250 + 132.5y

Solution for solving for y:

y = (x - 250)/132.5

In this situation, the solutions mean that the equation is linear or first grade because the solutions can be calculated in any of the following four forms:

1. Adding the same number to both sides

2. Subtracting the same number from both sides

3. Multiplying both sides by the same number

4. Dividing both sides by the same number

3 0

2 years ago

Find the value of x. Show work if you can

vova2212 [387]

Answer:

Step-by-step explanation:

number of side = n =7

Sum of all the angles of given polygon = (n -2)*180 = 5 *180 = 900

x + 140 +133 +145 + 117 + 119 + 125 = 900

x + 779 = 900

x = 900 - 779

x = 121

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3 years ago

A new test is developed to test for a certain allergy, giving "positive" or "negative" results to indicate that a person does or

notsponge [240]

Answer:

the first blank is 82, the second blank is 8,910. I got that third blank wrong and it should be 7.1 I think. and the last block is should not. to find the third box all you need to do is:
82+990=1,072 then divide 82 by 1,072 and round to the nearest tenth

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2 years ago

Pipe A can fill a tank in 40 minutes, while pipe B takes 60 minutes to fill the same tank.

ella [17]

Answer:

24 minutes.

Step-by-step explanation:

This question shows up in a great many places in math or physics, so it is a pretty good question to learn how to do.

First you should note that answer will be under 40 minutes.

1/40 + 1/60 = 1/TimeTotal

The common denominator on the left is 120 minutes

3/40*3 + 2/60*2 = 1/timetotal

3/120 + 2/120 = 1/ timetotal

5/120 = 1/time total Now to use to the key stop

What you do now is you always turn the left side over. You do the same thing to total time.

120/5 = total time

24 = total time

What this means is that if you let both pipes run for 24 minutes, they will fill the tank working together.

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2 years ago