△ABC is similar to △DEF by the ​AA Similarity Postulate​ .



What is the measure of ∠C?



Enter your answer in the box.
m∠C=°

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Two similar triangles, with top vertex A and D, rotated slightly towards right. In triangle A B C, B C is the base. Angle A is labeled as 55 degrees. In triangle D E F, E F is the base. Angle D is labeled as 60 degrees.

Answer:

39560

Step-by-step explanation:

9890+ 9890 + 9890+ 9890= 39560

Answer:

360cm²

Step-by-step explanation:

If the formula in the question is correct (S.A. = 40r²) then you just have to change r for r value:

40 * 3² = 40 * 9 = 360cm²

Hope it helps .

Answer:

2.7>217/100

Step-by-step explanation:

Step-by-step explanation:

A. x=15 because -5+20 is equal to 15

Answer:

the required sample size is 62

Step-by-step explanation:

Given the data in the question;

Confidence interval C = 95% = 0.95

Margin of error E = 10

population standard deviation σ = 40

sample size n = ?

We use the following formula to get our sample size;

sample size n = ( ( [tex]Z_c[/tex] × σ ) / E )²

Next we find z value for confidence interval

Confidence interval C = 95% = 0.95

Area = ( 1 + c )/2 = ( 1 + 0.95)/2 = 1.95 / 2 = 0.975

Now we check our z-table to see the area where 0.975 falls;

It falls under column 0.06 and Row 1.9

so, our z-value for confidence interval of 0.95 is 1.96

so we substitute

sample size n = ( ( 1.96 × 40 ) / 10 )²

n = ( 78.4 / 10 )²

n = ( 7.84 )²

n = 61.4656

we know that sample size is always rounded up, so

n = 62

Therefore, the required sample size is 62

Answer:

[tex]\huge\boxed{\sf 90\ degrees}[/tex]

Step-by-step explanation:

P is the center of the circle

Chord RL passes through the center of the circle. Hence it is the diameter of the circle.

According to Thales's Theorem: (The angle opposite to the diameter is 90 degrees when a triangle is drawn in that semi-circle)

=> m∠REL = 90°

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

7,    7,    7,    7.5,    7.5,    14,    20,    10

Step-by-step explanation:

           Since the median has to be 7.5, you know that the 4th and 5th numbers have to average out to 7.5. In simpler terms, the two numbers have to add up to 15 so that when you divide them by 2, you get 7.5. Then you know that the mode is 7. So, the magority of the numbers have to be 7. This is why I made the first 3 numbers 7. Then you know that the mean is 10, so all the numbers have to add up to 80. So, if you add up the numbers you have so far you get 36. This means that the remaning numbers have to add up to 44. Here you can really choose any numbers you want, as long as they add up to 44. That is why I chose, 14, 20, and 10. Lastly to check the numbers you put in, find the mean, median and mode. If they all match up with median: 7.5,  mean: 10, and mode: 7, then your numbers work! Hope that helps!  

✌

One possible data set can be -

8, 7, 8, 7, 8, 7, 15, 7, 13

We have the following statistics for weights of eight puppies -

Mean: 10

Median: 7.5

Mode: 7

We have to list the set of possible weights for eight puppies.

The mean (average) of a data set is found by adding all numbers in the data set and then dividing by the number of values in the set.

The median is the middle value when a data set is ordered from least to greatest.

The mode is the number that occurs most often in a data set.

According to the question, we have -

Number of puppies = 8

Mean = 10

Median = 7.5

Mode =7

Assume the sum of weights of all puppies be x. Therefore -

[tex]$\frac{x}{8} = 10[/tex]

x = 80

Now -

Mode = 7 → This means that the number 7 has occurred the most in the set.

Median = 7.5 → This means that 7 is the middle value when a data set is ordered from least to greatest. The data set can be -

8, 7, 8, 7, 8, 7, 15, 7, 13

Hence, one possible data set can be -

8, 7, 8, 7, 8, 7, 15, 7, 13

To solve more questions on statistics, visit the link below-

https://brainly.com/question/12730221

#SPJ2

Answer:

9.09, 309.09

Step-by-step explanation:

Year1 300x.01=3. Balance is 303/(300+3)

Year2 303x.01=3.03 balance is 306.03

Year3 306.03x.01=3.06 balance=309.09

Answer:

Interest earned = $9

Balance after 3 years = $309

Step-by-step explanation:

For simple interest, the formula is I = PRT, where I is the interest earned or paid, P is the principal amount borrowed/deposited, R is the rate as a decimal, and T is the time in years.

I = PRT

I = (300)(0.01)(3)

I = 9

Add that to the amount deposited to start, and you have the balance aftere 3 years. $300 + 9 = $309

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{7.06}\times\large\text{1,000 - 1,976}\div\large\text{100}\\\large\text{7.06}\times\large\text{1,000 = \boxed{\bf 7,060}}\\\large\text{7,060 - 1,976}\div\large\text{100}\\\large\text{1,976}\div\large\text{100 = 494}\div\large\text{25 = \boxed{\bf 19.76}}\\\large\text{7,060 - 19.76}\\\mathsf{= \boxed{\bf \ Answer: \dfrac{17,6006}{25}\ or\ 7,040.24}}\leftarrow\large\text{either of those choices should}\\\large\text{work because they are both equivalent to each other }[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

6

Step-by-step explanation:

you're overthinking the problem, all you have to do is multiply 8 and (3/4) to get 6, super easy

Answer:

width = 5 feet

length = 13 feet

Step-by-step explanation:

length of a rectangular vegetable bed is 3 feet more than twice the width

l = 2x + 3

length of the fence around the bed is 36 feet

p = 2(l + x)

36 = 2(l + x)

18 = l + x

Substitute for l

18 = (2x + 3) + x

18 = 3x + 3

15 = 3x

x = 5

l = 2(5) + 3 = 13

Answer:

width= 5

length=13

equation (x is rectangle) = 18=(2x+3)+x

Step-by-step explanation:

Answer:

Step-by-step explanation:

You have to be very careful how you put that into your calculator. You need        brackets.

2nd function

sin-1

(

3

y^x or x^y or ^

.5

down arrow (if needed)

divide

2

)

= You should get 60

Answer:

7,329.60m³

Step-by-step explanation:

Volume of a cone = 1/3πr²h

r is the radius

h is the height

Given

r = 19.3m

h = 18.8m

Substitute

V = 1/3 * 3.14 * 19.3² * 18.8

V = 21,988.82968/3

V = 7,329.6 cubic meter

Hence the volume of the cone to neatrest tenth is 7,329.60m³

Answer:

[tex]( x) {}^{2} = (5) {}^{2} + ( \sqrt{11} ) {}^{2} \\ {x}^{2} = 25 + 11 \\ {x}^{2} = 36 \\ x = 6[/tex]

Answer:

The correlation is [{-3,6,9},{1,-2,-3}]

Step-by-step explanation:

The result is -1

Answer:

Golden ratio, also known as the golden section, golden mean, or divine proportion, in mathematics, the irrational number (1 + Square root of√5)/2, often denoted by the Greek letter ϕ or τ, which is approximately equal to 1.618.

Step-by-step explanation:

In the picture.

Answer:

A is 4 with an exponent of 4.

B is A with an exponent of 3.

hope this helps :)

Answer:

4.5 pounds of candy y

5.5 pounds of candy x

Step-by-step explanation:

Given

Let x and y represent the two candies

[tex]x + y = 10[/tex] --- the sum of both candies

[tex]2x + 4y =29[/tex] ---- the worth of candies

Required

The pound of each

[tex]x + y = 10[/tex]

Make x the subject

[tex]x = 10 - y[/tex]

Substitute [tex]x = 10 - y[/tex] in [tex]2x + 4y =29[/tex]

[tex]2(10 - y) + 4y = 29[/tex]

Open bracket

[tex]20 - 2y + 4y = 29[/tex]

[tex]20 + 2y = 29[/tex]

Collect like terms

[tex]2y = 29 - 20[/tex]

[tex]2y = 9[/tex]

Solve for y

[tex]y = 9/2[/tex]

[tex]y = 4.5[/tex]

Recall that: [tex]x = 10 - y[/tex]

[tex]x = 10 - 4.5[/tex]

[tex]x = 5.5[/tex]

Answer:

[tex](x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16[/tex]

Step-by-step explanation:

Complex numbers identity:

The complex numbers identity is:

[tex]i^2 = -1[/tex]

Square of the sum:

[tex](x + y)^2 = x^2 + 2xy + y^2[/tex]

In this question:

[tex](x + (3+5i))^2[/tex]

[tex]x^2 + 2x(3+5i) + (3+5i)^2[/tex]

[tex]x^2 + 6x + 10xi + 9 + 30i + 25i^2[/tex]

[tex]x^2 + 6x + 9 + (10x+30)i - 25[/tex]

[tex]x^2 + 6x + (10x+30)i - 16[/tex]

So

[tex](x + (3+5i))^2 = x^2 + 6x + (10x+30)i - 16[/tex]

Answer:

B. {2, 4, 6, 8}

Answer:

Hello! answer: 13

Step-by-step explanation:

-4 × 13 = 52 therefore a = 13 HOPE THAT HELPS!

Answer:

a = 13

Step-by-step explanation:

u need to solve for a so get it on one side by itself and do that by dividing both sides by -4

-4a= 52

−4a÷ -4= a

52 ÷ -4 = -13

a= 13

Answer: v= 4.34

Step-by-step explanation:

5.4*4.9= 6.1v

26.46/6.1 = v

4.34= v

Answer:

v = 5.4

4.9 6.1

6.1 V 26.46

6.1 6.1

v= 4.337704918

v=4.34

the reason u are glancing at 26.46 with no answer is that I cross multiplied every number which gave me 6.1 V and 26.46 ...Don't forget we are focused only on V .The sign that is joining V and 6.1 is MULTIPLICATION sign so we use the opposite which is division .I divided both sides by 6.1 cause we are looking for V which gave me 4.337704918 which looks a little bit odd .So I looked for three significant figures which gave me 4.34 .When u round it to the nearest 100 it stays the same round 4.34 to the nearest hundredth consider the thousandths’ value of 4.34, which is 0 and less than 5. Therefore, the hundredths’ value of 4.34 remains 4.

Answer:

A. Bin(40,0.65)

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a cell phone, or they do not. The probability of an adult having a cell phone is independent of any other adult having a cell phone. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

In function of its parameters, the distribution is written as: Bin(n,p).

The proportion of adults who own a cell phone in a certain Canadian city is believed to be 65%

This means that [tex]p = 0.65[/tex]

Forty adults are to be selected at random from the city.

This means that [tex]n = 40[/tex].

Thus, we have Bin(40,0.65), and the correct answer is given by option A.

Answer:

Step-by-step explanation:

Answer:

323 feet

Step-by-step explanation:

909-586=323