Explain why the triangles are similar. Then find the missing length, x. 5 m 8 m 4 m 10 m X 6 m Choose the reason that the triangles are similar A. Both triangles contain right angles and a corresponding angle of equal measure. Thus, two angles of the large triangle are equal in measure to two angles of the small triangle B. All right triangles are similar. C. Both triangles are right and scalene. OD The Pythagorean theorem states that a + b = c2. Thus, the corresponding sides are proportional. Find the missing length 2 X= m​

Explain Why The Triangles Are Similar. Then Find The Missing Length, X. 5 M 8 M 4 M 10 M X 6 M Choose

Answers

Answer 1

Answer:

A. Both triangles contain right angles and a corresponding angle of equal measure. Thus, two angles of the large triangle are equal in measure to two angles of the small triangle

x = 3 m

Step-by-step explanation:

The figure given shows two right angles triangles having corresponding angles that are congruent and of the same measure.

If we find the ratios of their given corresponding side lengths, their ratios would be the same.

Thus: ratio of the side of the smaller ∆ to the larger ∆ = 4:8 = 5:10 = 4/8 = 5/10 = ½

½ is the scale factor. Therefore, both triangles are similar.

To find x, multiply the corresponding side length of the other triangle by the scale factor.

x corresponds to side length that is 6 m in the other triangle.

Therefore,

x = 6*½ = 3 m

Answer 2

The value of 'x' in the smaller triangle is 2 and both the triangles are similar because triangles contain right angles and a corresponding angle of equal measure. Therefore, two angles of the large triangle are equal in measure to two angles of the small triangle.

Given :

Two triangles are given in the figure.

The Pythagorean theorem can be used in order to determine the value of 'x' in the smaller triangle.

[tex]5^2=4^2+x^2[/tex]

[tex]x^2= 25-16[/tex]

x = 3

According to the given figure of the triangles, both triangles contain right angles and a corresponding angle of equal measure. Therefore, two angles of the large triangle are equal in measure to two angles of the small triangle. Hence both the triangles are similar.

Therefore, the correct option is A).

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Related Questions

I need help!! Select all that apply

Answers

Answer: #1 . #2    #4

Step-by-step explanation:

cuz i know

01 L1 - Perimeter Word Problems
Cooper, Sha Niya
11
1 of
A piece of Plexiglas has a width which is 5 centimeters shorter than its length. What represents the area of the Plexiglas, in terms of its length (L)?

Answers

Answer: x*(x-5)

Step-by-step explanation:

Plexiglass is a cuboid

which means that the area would be l*w

in the question it states that the width is 5 cm shorter than the length

since we dont know the values

we represent them as x

so using l*w

we write x*(x-5)

Records on a fleet of trucks reveal that the average life of a set of spark plugs is normally distributed with a mean of 22,100 miles. A manufacturer of spark plugs claims that its plugs have an average life in excess of 22,100 miles. The fleet owner purchased 18 sets and found that the sample average life was 23,400 miles, the sample standard deviation was 1,500 miles and the computed test statistic was 3.677. Based on these findings, there is enough evidence to accept the manufacturer's claim at the 0.05 level.

Answers

Answer:

There no sufficient evidence to support the manufactures claim at the 0.05 level

Step-by-step explanation:

From the question we are told that

   The  mean is  [tex]\mu = 22100 \ miles[/tex]

    The  sample mean is [tex]\= x = 23400 \ miles[/tex]

   The  sample size is  [tex]n  = 18[/tex]

   The standard deviation is [tex]\sigma  =  1 500 miles[/tex]

    The test statistics is  [tex]t = 3.677[/tex]

    The level of significance is [tex]\alpha  =  0.05[/tex]

The null hypothesis  is  [tex]H_o :  \mu =  22100[/tex]

The  alternative hypothesis  is  [tex]H_a :  \mu  \ne 22100[/tex]

Generally the p-value  is mathematically represented as

     [tex]p-value  =  2 *  P(t >3.677 )[/tex]

From the z-table  [tex]P(t >3.677 )  =  0.000118[/tex]

So

    [tex]p-value  =  2 *  0.000118[/tex]

=> [tex]p-value  =  0.000236 [/tex]

From he value given and obtained we see that  [tex]p-value  <  \alpha[/tex]

Hence we reject the null hypothesis

Hence there no sufficient evidence to support the manufactures claim

How tall would the building be

Answers

Answer:

18

Step-by-step explanation:

1. Create the ratio 12:9

The first number in the ratio is where the length of the shadow will go. The second number is where the length of the building will go.

2. Subtract 21 by 12 to find out how much we have to add to 9. (21-12=9)

3. Add 9 to 9. (18)

We now have 21:18.

10 points plus brainliest!!! Please help!
What is the equation of this graphed line?


A graph with a line running through coordinates (-6, -3) and coordinates (6, -7)




Enter your answer in slope-intercept form in the box.

Answers

Answer:

y=-1/3x-5

Step-by-step explanation:

Using slope formula, -7+3/6+6=-1/3

The Y Intercept is -5

AVCS is picking a math student of the month every nine weeks. Ashly has a 30% chance of being named math student of the quarter in the 1st 9-weeks. She has a 17% chance of being named student of the quarter for the 2nd 9-weeks. What is the probability that she wins for the first and second quarters?

Answers

Answer:

5.1% chance

Step-by-step explanation:

Answer:

What

Step-by-step explanation: what i dont andestod

Demand for bikes has suddenly increased, and the market price has risen from $50 to $60.
In three to five sentences, explain how this change will affect profits.

Answers

Answer:

profits will increase so with that being said the supply of them dropped if demand increased getting bikes will be harder for competing business in the area and so therefore if you have 200 bikes and others have 50 bikes your gonna make way more profit and for the people with 50 bikes they will gain and lose profits because when they run out of bikes they have to buy more and they are more expensive because of the demand on them

Step-by-step explanation:

The explanation regarding the change of price that impact the profits should be explained below.

Impact on profit:

The profit should rise when the supply should fall. In the case when I have 200 bikes while the other should have 50 bikes so here I make more profit however the other people will gain but the profit should be lost since the bikes should be out of the stock and at the same time they need to buy more that should be more expensive due to the demand.

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a certain journey took 40 min to complete. if half of the distance was travelled at an average speed of 100 km/h and the other half at an average speed of 60 km/h, what was the total length​ of the journey

Answers

total time taken = 40 min

let x be the total length/ distance of the journey.

speed(v) = distance/ time

100= (1/2 x)/ time ---1

60= (1/2 x)/ time ---2

add 1 and 2

160= x/40

where 40 is the total time taken

44.44m/s= x/ 2400s (i converted the speed and time)

x = 106,656 metres = 106.656km

the total length is 106.656 km.

Let's assume the total length of the journey is "x" km. Since the journey took 40 minutes to complete, we first need to convert this time to hours, which is [tex]40/60 = 2/3 h[/tex] hours.

According to the information given, the first half of the journey was traveled at an average speed of 100 km/h, which means the distance covered during this time is (1/2)x km. The time taken for this is given by [tex](1/2)x / 100 = x/200[/tex] hours.

Similarly, the second half of the journey was traveled at an average speed of 60 km/h, which means the distance covered during this time is (1/2)x km.

The time taken for this is given by [tex](1/2)x / 60 = x/120[/tex]hours. Now, we can add the times taken for both halves, which gives us [tex]x/200 + x/120[/tex]hours [tex]= 2/3[/tex]hours. By solving this equation, we arrive at [tex]x = 240 km.[/tex]

Therefore, the total length of the journey is 240 km.

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Andre’s school day is 63 hours long. He has 8 classes that are​ 3 hour long.

B.Evaluate your expression and show and/or explain your thinking to determine how long
Andre is ​not​ in class during the day.

Answers

Answer:

he has 8 classes 3 hours long, so 8×3 is how long he IS is class. subtract 24 from 63 and you get how long he is NOT in class. he is NOT in class for 39 hours.

What is the y-intercept of the graph of the equation 2x+3y=7

Answers

Answer:

See below. Explanation: Remember that slope intercept form is y=mx+b where m is slope and b is the y intercept.


x

3
y
=
7

3
y
=

2
x
+
7
y
=
2
3
x

7
3
To graph the equation, we place a point on the graph where x = 0 (y intercept) at the value
y
=

7
3
, then we draw a line with a slope of
2
3
that runs through that line.
graph{y = (2/3x) - (7/3) [-3.85, 6.15, -3.68, 1.32]}

Does anyone wanna help

Answers

Answer:

b

Step-by-step explanation: you have to multiply the number your starting with and you will get the answer 2x=3p

i think the answer might be b

25. What is the slope of the line that passes through the points (8, 1) and (5, 7)?

Answers

9514 1404 393

Answer:

  -2

Step-by-step explanation:

You can use the formula for slope (m) to find it:

  m = (y2 -y1)/(x2 -x1)

  m = (7 -1)/(5 -8) = 6/-3 = -2

The slope of the line is -2.

Refer to the figure. Which Theorem guarantees L and M are parallel

Answers

Answer:

alternate exterior angles converse

which answer is right
Which graph represents a proportional relationship?

Answers

I think the one with the straight lines going up to the right. It’s increasing at the same rate and the other ones are different. Sorry if it’s wrong.

please hurry i need this fast

Answers

Answer:

option 4

Step-by-step explanation:

the first movement is a translation and then it is reflected over the y axis

Answer:

A

Step-by-step explanation:

plz i need help i did some just i need help i will mark brainliest​

Answers

2 is B 6 is A 12 is C

A miniature yorkshire terrier one of the smallest dogs may weigh only 700 g. but a st. bernard the heaviest dog could easily weigh 76 kg. Find the difference in the weight of the two dogs in kilograms. what is tge difference in the dogs weights

Answers

Answer:

76-0.7=75.3 kg

Step-by-step explanation:

I don't understand the question

Assume a recent sociological report states that university students drink 4.10 alcoholic drinks per week on average, with a standard deviation of 1.9101. Suppose Jason, a policy manager at a local university, decides to take a random sample of 125 university students to survey them about their drinking habits. Determine the mean and standard deviation of the sampling distribution of the sample mean alcohol consumption. Provide your answer with precision to two decimal places.

Answers

Answer:

4.10

0.17

Step-by-step explanation:

From the question, we know that

A recent sociological report stated that university students drink 4.10 alcoholic drinks per week on average, with a standard deviation of 1.9101.

Also, we're tasked with finding the mean and standard deviation of the sampling distribution of the sample mean alcohol consumption.

To find the mean of the sampling distribution, we take the sample mean of the same of that university students as a direct substitute. This then means that the mean of the sampling distribution of the sample mean alcohol consumption is 4.10 alcoholic drinks per week on average.

On the other hand, the standard deviation of the sampling distribution of the sample mean alcohol consumption is taken to be the division of the standard deviation of the sample mean. Mathematically, we have

Standard Deviation, S = 1.9101 / √125

Standard Deviation, S = 1.9101 / 11.18

Standard Deviation, S = 0.17

Therefore, the Standard Deviation is 0.17

Answer:

The values are

      [tex]\mu_{\= x } = \mu = 4.10[/tex]

And

      [tex]\sigma _{\= x} = 0.38202[/tex]

Step-by-step explanation:

The  population mean is  [tex]\mu = 4.10[/tex]

 The  standard deviation is  [tex]\sigma = 1.9101[/tex]

  The sample size is  n  =  125 students

Generally the mean of the sampling distribution of the sample mean is equivalent to the population mean

  i.e  [tex]\mu_{\= x } = \mu = 4.10[/tex]

Generally the standard deviation of the sampling distribution of the sample mean alcohol consumption is mathematically represented as

      [tex]\sigma _{\= x} = \frac{\sigma }{\sqrt{n} }[/tex]

=>    [tex]\sigma _{\= x} = \frac{1.9101 }{\sqrt{125} }[/tex]

=>    [tex]\sigma _{\= x} = 0.38202[/tex]

You buy milk that contains 180 calories per 2 cups. Use a ratio table to find the number of calories in 18 cups.

Answers

Answer:

1620

Step-by-step explanation:

180/2=90

90*18=1620

You buy milk with 180 calories in two glasses. Now compute the caloric value of 18 cups. 18 cups contain 1620 calories.

What is meant by caloric value?Calorific value, also known as heating value or heat of combustion, is a unit of measurement for the total energy content produced in the form of heat when a substance is completely combusted with air or oxygen. The amount of heat energy released during complete combustion of a unit mass of a fuel is defined as its calorific value. It is measured in kJ/kg.It is the measurement of the heat value or amount of energy released, and it is expressed in either gcv or ncv. Gross calorific value (GCV), also known as Higher Heating Value (HCV), is the amount of heat released by complete combustion when a unit of fuel is burned.

Therefore,

You buy milk with 180 calories in two glasses.

Now compute the caloric value of 18 cups.

Let 18 cups have a calorie count of As, and 2 cups have 180 calories.

A serving of two cups contains 180 calories.

As a result, the ratio would be 2: 180.

As a result, 18 cups contain X calories.

18 cups are equal to X calories.

Consequently, the ratio would be  X : 18

We now set a ratio to determine how many calories are in 18 cups:

2 : 180  ::  18  : X

Simplifying,

2/ 180 = 18/X

Cross multiplying results in:

2X = 18 × 1 80

= 3240

By multiplying both sides by 2, we obtain:

X = 3240/2

= 1620

Hence, 18 cups have 1620 calories in them.

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The keyboard on a particular computer has a rectangular shape where the length is 332 mm and the width is 141 mm. Find the perimeter of the rectangle defined by this keyboard.

Answers

Answer:

946 mm

Step-by-step explanation:

(332*2)+(141*2)

if the mean of a negatively skewed distribution is 40 which of these values could be the median of the distribution
a.35
b.50
c.40
d.45

Answers

Answer:

c.40

plz mark brainliest if helpful

if the total angle of a triangle is 180 A- 43 1/2 B-5x C-26.5 and the started value is 20 what is X?​

Answers

Answer:

x= 20.05 degree

180= 43.25+36.50+5x

180= 79.75+5x

5x=180-79.75

5x=100.25

x=20.25

ANGLE B= 100.25

can someone please help me with this, I cant figure it out. thank you!​

Answers

C is the right answer

What is the surface area of the pyramid 8in 8 in 6in.

Answers

Answer:

mhbdjhdfvvbjd

Step-by-step explanation:

hbgjtrhkbgb

Answer:

384 inches

Step-by-step explanation:

A=lwh

Given: -7(x+2)+4x=6(2x-4) prove: x=2/3

Answers

Answer:

2/3

Step-by-step explanation:

multipy (X+2) by 7 the you multiply (2x-4) by 6 I.e

-7×X- (-7×2)+4x=6×2x-6×4

-7x-14+4x=12x-24

collect like terms

-7x+4x-12x=-24+14

-15x=10

divide both side by -15, so that X can stand alone

-15x/-15=-10/-15

-15 cancels -15, minus cancels minus

X=10/15

X=2/3

Assume that hybridization experiments are conducted with peas having the property that for​ offspring, there is a probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of . Complete parts​ (a) through​ (c) below. a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of . The value of the mean is 12 peas. ​(Type an integer or a decimal. Do not​ round.) The value of the standard deviation is nothing peas. ​(Round to one decimal place as​ needed.) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of nothing peas or fewer are significantly low. ​(Round to one decimal place as​ needed.) Values of nothing peas or greater are significantly high. ​(Round to one decimal place as​ needed.) c. Is a result of peas with green pods a result that is significantly​ low? Why or why​ not? The result ▼ is is not significantly​ low, because peas with green pods is ▼ less than greater than equal to nothing peas. ​(Round to one decimal place as​ needed.)

Answers

Answer:

hello some parts of your question is missing below is the complete question

Assume that hybridization experiments are conducted with peas having the property that for offspring, there is a 0.25 probability that a pea has green pods. Assume that the offspring peas are randomly selected in groups of 36

.a. Find the mean and the standard deviation for the numbers of peas with green pods in the groups of 36

The value of the mean is

μ=___ peas.

The value of the standard deviation is

σ=___peas.

b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high.

Values of ___ peas or fewer are significantly low.

Values of ___ peas or greater are significantly high.

c. Is a result of 2 peas with green pods a result that is significantly low? Why or why not?

The result (is, is not) significantly low, because 2 peas with green pods is (greater than, equal to, less than) peas.

Answer : A) mean : 9,  std = 2.6

               B) significantly low value : = 3.8, significantly high value = 14.2

C ) From the significant low value it can be observed that the result is very low because 2 peas with green pods < 3.8 peas with green pods

Step-by-step explanation:

given data :

probability ( p )= 0.25

number of groups ( n )= 36

A ) i) Mean of the of the peas ( u )

u = np = 36 * 0.25 = 9

ii) standard deviation of the peas ( б ) = [tex]\sqrt{np(1-p)} = \sqrt{9(1-0.25)}[/tex]  = 2.60

B) Using the range rule of thumb to find the values separating results that are significantly low or significantly high.

note : assuming z = 2 and error = 5%

i) The values that are significantly lower

u - zб = 9 - (2*2.6 )

         = 3.8

ii) The values that are significantly higher

u + zб = 9 + (2*2.6)

          = 14.2

C ) From the significant low value it can be observed that the result is very low because 2 peas with green pods < 3.8 peas with green pods

The Americans with Disabilities Act (ADA) requires a straight ramp have a slope no greater than 1/12.
a. What is the slope of the ramp in the figure? Does it meet the ADA requirement?

Answers

Answer:

well having this helps the commutie

Step-by-step explanation:

Frederick Douglass was born a slave in Maryland.

Answers

Answer:

That is a fact i think but let me reaserch for that and tomorrow i will give you an answere

Answer:

He was born a slave, circa 1817;

Step-by-step explanation:

Jamal has some baseball cards, and his brother has 1/3 as many as Jamal. Together, they have 36. How many cards does Jamal have?

Answers

Answer:

27 cards

Step-by-step explanation:

We write the equation:

J + (1/3 x J) = 36

4/3 x J = 36

J = 36 x 3/4 = 27

when seventeen is reduced by two-thirds of a number, the result is 11

Answers

Answer:

9

Step-by-step explanation:

Let the number be x, then:

17 - 2/3x = 112/3x = 17 - 112/3x = 62x = 6*32x = 18x = 18/2x = 9
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