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2 years ago

Find the length of the indicated side of the similar figure.

Mathematics

1 answer:

bogdanovich [222]2 years ago

5 0

Answer:

Step-by-step explanation:

in similar figures the side lengths must be proportional:

4/8 = x/10 cross multiply fractions

40 = 8x divide both sides by 8

5 = x

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① 5J+2S =12.20 ② 5J+ 10S =15.80 elimination method

hram777 [196]

Answer:

Step-by-step explanation:

$5J +2S =12.20 ........(1)\\5J+10S=15.80......(2)\\Multiply \:equation \:(1)\:by\:the\:coefficient\:of\:x\:in equation\:(2)\\\\Multiply\:equation(2)\: by\: the\: coefficient\:of \:x\: in \:equation (1)\\\\5J +2S =12.20 ........(1) \times 5\\5J+10S=15.80......(2)\times 5\\\\25J+10S=61......(3)\\25J+50S = 79......(4)\\Subtract\:equation\:(4)\:from\: equation\: (3)\\-40S =-18\\\frac{-40S}{-40}=\frac{-18}{-40}\\ S = 9/20\\$

$Substitute \:9/20\:for \:x \:in\:equation\:(1)\:or \:equation\:(2)\\5J+2S = 12.20\\5J +2(9/20) =12.20\\5J +9/10=12.20\\5J=12.20-9/10\\5J=113/10\\Cross-Multiply\\50J = 113\\J = 113/50$

4 0

3 years ago

In the figure, a square is inside another bigger square.

evablogger [386]

Answer:

Part 1) The length of the diagonal of the outside square is 9.9 units

Part 2) The length of the diagonal of the inside square is 7.1 units

Step-by-step explanation:

step 1

Find the length of the outside square

Let

x -----> the length of the outside square

c ----> the length of the inside square

we know that

$x=a+b=4+3=7\ units$

step 2

Find the length of the inside square

Applying the Pythagoras Theorem

$c^{2}= a^{2}+b^{2}$

substitute

$c^{2}= 4^{2}+3^{2}$

$c^{2}=25$

$c=5\ units$

step 3

Find the length of the diagonal of the outside square

To find the diagonal Apply the Pythagoras Theorem

Let

D -----> the length of the diagonal of the outside square

$D^{2}= x^{2}+x^{2}$

$D^{2}= 7^{2}+7^{2}$

$D^{2}=98$

$D=9.9\ units$

step 4

Find the length of the diagonal of the inside square

To find the diagonal Apply the Pythagoras Theorem

Let

d -----> the length of the diagonal of the inside square

$d^{2}= c^{2}+c^{2}$

$d^{2}= 5^{2}+5^{2}$

$d^{2}=50$

$d=7.1\ units$

7 0

3 years ago

Read 2 more answers

How do the 8 differ in 38108

kvasek [131]

The left 8 represents 8000 units.
The right 8 represents 8 units.

Their placement in the number is used to signify the multiplier for the number of units they represent. That is why the number system is called a "place value number system." Each time the digit is moved left one place, its value increases by a factor of 10.

3 0

3 years ago

A satelite is 5,400 miles from the horizon of earth. Earths radius is about 4000 miles. Find the approximate distance the sateli

kakasveta [241]

Answer:

The distance of Satelite from the earth's surface = 2720.12 miles

Step-by-step explanation:

Below is the calculation for distance:

Use Pythagorean theorem

Distance, d² = 5400² + 4000²

d² = 45160000

d = 6720.12

Subtract the radius to find the distance from earth's surface.

Distance = 6720.12 - 4000 = 2720.12

The distance of Satelite from the earth's surface = 2720.12 miles

5 0

3 years ago

I dont understand how to explain this.

podryga [215]

Answer:

Angle F is 50° because their side lengths are different but the angle measurements did not change. All triangles add up to 180 degrees and a right angle is 90 and it gives you the other angle measurement. So you would do 40 plus 90 which would get you 130. To find the last angle you would do 180 minus 130 which is 50. Angle F is 50 degrees.

Step-by-step explanation:

this is what i would say

6 0

3 years ago