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2 years ago

(90 POINTS) How can you find the length of RT using similarity? Explain your reasoning.

Mathematics

2 answers:

ipn [44]2 years ago

6 0

Answer:

RT = 26

Step-by-step explanation:

Based on the figure we can say :

ΔABC ~ ΔTSR (by SAS similarity)

Scale factor :

AB/SR = 12/24 = 1/2

Hence, as the proportions are the same :

CA/RT = 1/2
13/RT = 1/2
RT = 13 x 2
RT = 26

topjm [15]2 years ago

3 0

You can use the pythagorean theorem to find the length of RT for example:

a^2+b^2=c^2

24^2+10^=c^2 when you simplify this you get 26 so the length of RT is 26

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If 24 marks is 60% what is full marks

Luda [366]

If 24 marks is 60 %, then full marks is 40

Solution:

Given that 24 marks is 60 %

We are asked to find the full marks

Let the full marks be "x"

So out of "x" marks, he has got 24 marks

Therefore,

60 % of full marks = 24

60 % of x = 24

$60 \% \times x = 24\\\\\frac{60}{100} \times x = 24\\\\0.6x = 24\\\\x = \frac{24}{0.6}\\\\x = 40$

Therefore, full marks is 40

<h3>Method 2:</h3>

If 60 % is 24, then we have to find what is 100 %

60 % = 24

100 % = x

This forms a proportion, So we can solve the sum by cross multiplying

$60 \% \times x = 24 \times 100 \% \\\\60x = 2400\\\\x=\frac{2400}{60}\\\\x = 40$

Thus full marks is 40

8 0

2 years ago

Write the equation of the line that passes through the point (-5,5) and has a slope of -8/5

Free_Kalibri [48]

Answer:

The equation of the line that passes through the point (-5,5) and has a slope of -8/5 will be:

$y=-\frac{8}{5}x-3$

Step-by-step explanation:

Given

$\left(x_1,\:y_1\right)=\left(-5,5\right)$

$m=\frac{-8}{5}$

Point-Slope Form equation is

$\left(y-y_1\right)=m\left(x-x_1\right)$

$\left(y-5\right)=\frac{-8}{5}\left(x-\left(-5\right)\right)$

$\mathrm{Apply\:rule}\:-\left(-a\right)=a$

$y-5=\frac{-8}{5}\left(x+5\right)$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

$y-5=-\frac{8}{5}\left(x+5\right)$

$y-5+5=-\frac{8}{5}\left(x+5\right)+5$

$y=-\frac{8}{5}x-3$

Therefore, the equation of the line that passes through the point (-5,5) and has a slope of -8/5 will be:

$y=-\frac{8}{5}x-3$

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3 years ago

Can some on help me on this question?

mario62 [17]

Answer:

x=10 and x-7 is the answer

Step-by-step explanation:

a)2x-7=13

2x=13+7

2x=20

x=20/2

x=10

b)3x+4=25

3x=25-4

3x=21

x=21/3

x=7

i hope it will help you

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castortr0y [4]

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The first inequality will look exactly like the one

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