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Fed [463]
3 years ago
8

Find the value of x and explain how you found it. Make sure to cite the problem and share what you see before you explain your s

olution. In your explanation, include how you know that these triangles are similar. You may use a postulate such as AA, SSS, SAS, Triangle Proportionality Theorem, or a creative alternative. Justify why you were able to use the postulate/theorem and give the equation you used to find x.

Mathematics
1 answer:
klemol [59]3 years ago
6 0

Answer:

THE VALUE OF X = 3 .

Step-by-step explanation:

From the Δ RQP and Δ TSP ;

⇒ ∠  TPS = ∠ RPQ       ( since both are common angle )

⇒ RQ ≈ TS                    ( parallel lines )

⇒ ∠ PRQ = ∠ PST            ( Corresponding angle )

∴ Δ RQP ≅  Δ TSP          ( BY ASA RULE )

Now ,

 \frac{RP}{TP}  = \frac{QP}{PS}

\frac{9 + X}{9}  = \frac{6 + 2}{6}

⇒ X = 3

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kirill [66]

Step-by-step explanation:

Inverse of

y

=

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+

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Explanation:

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Observe that each of the function is a reflection of the other in the line

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graph{(y-(x+3)/(x-2))(y-(2x+3)/(x-1))(x-y)=0 [-10, 10, -5, 5]}

6 0
3 years ago
9+3.5g=11-0.5g brainliest to whoever gives steps
kow [346]

Answer:

The answer is <u>g = 0.5</u>

Step-by-step explanation:

1. Your equation is :

<em>9+3.5g=11-0.5g</em>

2. First, multiply both sides by ten

<em>9 * 10 + 3.5 * 10 = 11 * 10 - 0.5 * 10</em>

3. Next we refine the equation

<em>90 + 35g = 110 - 5g</em>

4. Now, lets subtract 90 from both sides

<em>90 + 35g - 90 = 110 - 5g - 90</em>

5. Simplify

<em>35g + 5g = -5g + 20 + 5g</em>

6. We then add 5g to both sides

<em>35g + 5g = -5g + 20 + 5g</em>

7. Simplify again

<em>40g = 20</em>

8. Now, divide both sides by 40

<em>40g/40 = 20/40</em>

9. And finally, simplify once again to get your final answer.

<em>g = 1/2 or 0.5</em>

I hope this helped :)

7 0
3 years ago
Fermium-253 has a half life of three days. A sample contains 400 g. How long will it take for the sample to decay to 100 g?
NemiM [27]
After the first three days, the sample size will be half of the initial; therefore, 400g/2= 200g. However, it is asking how long will it take to decay to 100g, so we will take 200g/2= 100g, which will take another three days.  It will take 2 half-lives, which will encompass 6 days.
4 0
3 years ago
Solve the system of equations. y= x + 17, y= 3x+1
Lemur [1.5K]

Answer:

x=8, y=25. As a point it's (8,25)

Step-by-step explanation:

here is the system:

y=x+17

y=3x+1

notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)

so it'll be:

3x+1=x+17

subtract 1 from both sides

3x=x+16

subtract x from both sides

2x=16

divide by 2

x=8

now, substitute 8 as x into one of the equations and solve for y

let's take the first one for example

y=8+17

y=25

so the answer is x=8, y=25. As a point it's (8,25)

Hope this helps!

7 0
3 years ago
PLEASE HELP ASAP!!! I NEED CORRECT ANSWERS ONLY PLEASE!!! I NEED TO FINISH THESE QUESTIONS BEFORE MIDNIGHT TONIGHT.
Lina20 [59]

Yo sup??

we can solve this question by applying trigonometric ratios

cos59=CB/CD

CD=CB/cos59

=7.8

Hope this helps.

7 0
3 years ago
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