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IRISSAK [1]
3 years ago
6

What’s the answers?...

Mathematics
1 answer:
tia_tia [17]3 years ago
7 0

Hence, the values of x, y and z are as follows:

x=10

y=5

z=2

Further explanation:

When two triangles are congruent, then their respective sides will also be congruent or equal

As it is given that

ΔABC≅ΔDFE

Which means that

EF = BC

ED=AC

FD=AB

Now,

EF=BC\\Putting\ the\ values\\x+15=2x+5\\x-2x=5-15\\-x=-10\\x=10\\AND\\FD=AB\\Putting\ the\ values\\4y=8y-20\\4y-8y=-20\\-4y=-20\\\frac{-4y}{-4}=\frac{-20}{-4}\\y=5\\AND\\ED=AC\\10z-5=3z+9\\10z-3z=9+5\\7z=14\\\frac{7z}{7}=\frac{14}{7}\\z=2

Hence, the values of x, y and z are as follows:

x=10

y=5

z=2

Keywords: Similar triangles, Congruent Triangles

Learn more about congruent triangles at:

  • brainly.com/question/4924817
  • brainly.com/question/5720422

#LearnwithBrainly

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Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p of correctly answering
Alla [95]

Answer:

a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

Step-by-step explanation:

a) To approximate this distribution we have to calculate the mean and the standard distribution.

The mean is the proportion p=0.85.

The standard deviation can be calculates as:

\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{100} }=0.04

To calculate the probability that Jodi scores 78% or less on a 100-question test, we first calculate the z-value:

z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.04} =-1.75

The probability for this value of z is

P(x

The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:

\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{250} }=0.02

To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:

z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.02} =-3.5

The probability for this value of z is

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6 0
3 years ago
What is the dimension of a rectangle if the perimeter is 198
AfilCa [17]

Answer:

Length = 49.5 unit and width = 49.5 unit

Step-by-step explanation:

Given as , Perimeter of rectangle = 198 unit

so ,as Perimeter of rectangle = 2× ( Length + width)

Or,                                   198 = 2 ×  (Length + width)

Or,                                   \frac{198}{2} = length + width

So, length + width = 99 unit

Now to make area maximum

Length × width = maximum

Or, (99 - width ) × width = maximum

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Now differentiate both side with respect to W

D(99W - W²)\frac{D(99w - w^2)}{Dw} = 0         as, constant diff is 0

So, 99 - 2w = 0

Or, w = \frac{99}{2}

Or, w = 49.5 unit    and L = 99- 4905 = 49.5 unit      Answer

3 0
3 years ago
URGENT, PLEASE HELP! (3/5) -50 POINTS- !please no wrong answers for the points.! A) <img src="https://tex.z-dn.net/?f=y%20%3D%20
shtirl [24]

Answer:

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checking B

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Inessa05 [86]
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MaRussiya [10]

Answer:

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3 0
3 years ago
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