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3 years ago

How many more meters does he have left to run

Mathematics

1 answer:

RUDIKE [14]3 years ago

3 0

5km=5000m-1500m=3500m=3.5km-1.75km=
1750m

he has 1750m left

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Help asaaaap pls !!!!!

tatyana61 [14]

Answer:

Step-by-step explanation:

for (10,5)

5 - 5 = 2(10 - 10) = 0

for (4,-7)

-7 - 5 = 2(4 - 10) = -12

7 0

3 years ago

Given points A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1), which of the following proves that

damaskus [11]

Similar triangles may or may not have equal side lengths

Triangles ABC and DEF are similar by SSS theorem

<h3>How to determine the similarity statement</h3>

The coordinates of the two triangles are:

A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1)

Calculate the lengths of both triangles using the following distance formula

$d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}$

For triangle ABC, we have:

$AB = \sqrt{(0 -4)^2 + (0 -0)^2} = 4$

$BC = \sqrt{(4 -0)^2 + (0 -2)^2} = 2\sqrt 5$

$CA = \sqrt{(0 -0)^2 + (0 -2)^2} = 2$

For triangle DEF, we have:

$DE = \sqrt{(0 -2)^2 + (0 -0)^2} = 2$

$EF = \sqrt{(2 -0)^2 + (0 -1)^2} = \sqrt 5$

$FD = \sqrt{(0 -0)^2 + (1 -0)^2} = 1$

Divide corresponding sides of the triangles to calculate the scale factor k

$k = \frac{AB}{DE} = \frac{BC}{EF} = \frac{CA}{FD}$

This gives

$k = \frac{4}{2} = \frac{2\sqrt 5}{\sqrt 5} = \frac{2}{1}$

Evaluate the quotients

$k = 2 = 2 = 2$

Since the quotients are equal, then the triangles are similar

Hence, triangles ABC and DEF are similar by SSS theorem

Read more about similar triangles at:

brainly.com/question/14285697

3 0

2 years ago

solve the equation 5x=25

LekaFEV [45]

Answer:

x=5

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

4.OA.2: The Turner family uses 548 liters of water per day. The Hill family uses 3 times as much water per day. How much more wa

Anika [276]

Answer:

1096 more water

Step-by-step explanation:

Let;

x = the water used in general

but used 3 times of the original = 3x

3*(548) = 1644 water a day

How much more water =New - original

where:

new = 1644

original= 548

1644 - 548

=1096 more water

6 0

3 years ago

Solve the following equation algebraically:

Gre4nikov [31]

Answer:

$\boxed{\sf \ \ \ answer \ b. \ \ +5 \ \ \ }$

Step-by-step explanation:

Hello

let's assume that we are looking for x >=0

$4x^2=100 \dfrac{4x^2}{4}=x^2=\dfrac{100}{4}=25\\\sqrt{x^2}=25\\ |x| = 5 x = 5 \ or \ x=-5$

Let's assume that we are looking for x>=0

so the correct answer is 5

8 0

3 years ago