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Akimi4 [234]
3 years ago
8

50 POINTS: Please help thank you so much!! (Image attached) The polygons are similar. Find the values of the variables.

Mathematics
1 answer:
nadya68 [22]3 years ago
7 0

Answer:

x = 3/5√10

y = 2√10

Step-by-step explanation:

using the Pythagorean theorem:

y² = 7² - 3² = 49 - 9

y² = 40

y = 2√10

3/4.5 = y/5x

4.5y = 15x

substitute for y:

4.5(2√10) = 15x

15x = 9√10

divide both sides of the equation by 15:

x = (9√10)/15 = 3/5√10

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Vesnalui [34]

Answer:

  1. c = -4.5
  2. z = 20
  3. x = -12
  4. a = -4/7

Step-by-step explanation:

A way to do this that will always work is ...

  • eliminate parenthses and collect terms
  • subtract any constants from the left side
  • subtract any variable terms from the right side
  • divide by the coefficient of the variable

1.

  • 8c -11 -6c = -2
  • 2c -11 = -2
  • 2c = 9
  • c = 4.5

2.

  • 3z +4 -2z -9 = 15
  • z -5 = 15
  • z = 20

3.

  • 12 -4x +18 = 36 +4x +18 -6x
  • 30 -4x = 54 -2x
  • -4x = 24 -2x
  • -2x = 24
  • x = -12

4.

  • 36a -9a -5 = 6a -17
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6 0
3 years ago
Because of variability in the manufacturing process, the actual yielding point of a sample of mild steel subjected to increasing
photoshop1234 [79]

Answer:

P-value ≈ 0.3463

Step-by-step explanation:

Hypothesis test would be

H_{0}:p=0.20

H_{a}:p>0.20

We need to calculate the z-score of sample proportion and then the corresponding P-value.

z-score can be calculated as:

z=\frac{p(s)-p}{\sqrt{\frac{p*(1-p)}{N} } } where

  • p(s) is the sample proportion of specimens yield before the theoretical point (\frac{9}{40}=0.225)
  • p is the proportion assumed under null hypothesis. (0.20)
  • N is the sample size (40)

Using the numbers

z=\frac{0.225-0.2}{\sqrt{\frac{0.2*0.8}{40} } } =0.3953

and the P-value is then P(z)≈0.3463

4 0
3 years ago
Athena is going to draw one marble from a paper sack. Inside the sack, there are 6 blue marbles, 6 black marbles, 3 green marble
marta [7]

Answer:

D. 2/17

Step-by-step explanation:

Add all of the marbles: 6 blue marbles + 6 black marbles + 3 green marbles + 2 purple marbles = 17 marbles altogether.

Since there are 2 purple marbles out of 17 marbles in the paper sack, the complement to the probability that she will draw a purple marble is 2/17.

7 0
3 years ago
Does the system have one, none or infinite solutions?<br> 8x + 4y = 12<br> y = -2x + 3
Vitek1552 [10]

Answer:

Infinite solutions

Step-by-step explanation:

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3 years ago
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Answer:

the slope is -9x

Step-by-step explanation:

whatever has x next to it is the slope

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