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Answer:

x = 32, y = 51

Step-by-step explanation:

Since the triangles are congruent then corresponding sides and angles are congruent, that is

∠ U = ∠ N

∠ N = 180° - (142 + 24)° = 180° - 166° = 14° , then

2x - 50 = 14 ( add 50 to both sides )

2x = 64 ( divide both sides by 2 )

x = 32

and

NP = US

2x - y = 13

2(32) - y = 13

64 - y = 13 ( subtract 64 from both sides )

- y = - 51 ( multiply both sides by - 1 )

y = 51

Using the triangle theorem, the values of x and y is 32° and 51° respectively

From △MNP

∠M + ∠N + ∠P = 180° (Sum of interior angles in a triangle)

N = 180 - (142 + 24)

N = 180 - 168

N = 14°

Equate the expression :

2x - 50 = 14

2x = 14 + 50

2x = 64

x = 64 / 2

x = 32°

From ; 2x - y = 13 _____(1)

Substitute x = 32 into the expression ;

2(32) - y = 13

64 - y = 13

64 - 13 = y

51° = y

Therefore, the values of x and y is 32° and 51° respectively.

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Answer:

c

Step-by-step explanation:

Given:

Either has a school certificate or diploma or even both = 20 people

Having school certificates = 14

Having diplomas = 11

To find:

The number of people who have a school certificate only.

Solution:

Let A be the set of people who have school certificates and B be the set of people who have diplomas.

According to the given information, we have

[tex]n(A)=14[/tex]

[tex]n(B)=11[/tex]

[tex]n(A\cup B)=20[/tex]

We know that,

[tex]n(A\cup B)=n(A)+n(B)-n(A\cap B)[/tex]

[tex]20=14+11-n(A\cap B)[/tex]

[tex]20=25-n(A\cap B)[/tex]

Subtract both sides by 25.

[tex]20-25=-n(A\cap B)[/tex]

[tex]-5=-n(A\cap B)[/tex]

[tex]5=n(A\cap B)[/tex]

We need to find the number of people who have a school certificate only, i.e. [tex]n(A\cap B')[/tex].

[tex]n(A\cap B')=n(A)-n(A\cap B)[/tex]

[tex]n(A\cap B')=14-5[/tex]

[tex]n(A\cap B')=9[/tex]

Therefore, 9 people have a school certificate only.

Answer: b

Step-by-step explanation:

im guessing

Answer:

5. 43.98 (if not rounding pi, if rounding pi it is 43.96)

6. 201.06 (if not rounding pi, if rounding pi it is 200.96)

7. 72.8

8. 84

9. 3.6

10. 140

11. C

12. 12.6

Step-by-step explanation:

5. C=2*pi*r

6. A=pi*r^2

7. angles in triangle must add up to 180

8. A=bh

9. radius is half of diameter

10. A=(hb)b/2

11. A=pi*r^2

12. radius is 1/2 of diameter

Answer:

5. 32 6. Don't know

Step-by-step explanation:

Answer:

70

You got it correct :)

Step-by-step explanation:

[tex]\frac{28}{y} =\frac{40}{100}[/tex]

y × 40 = 100 × 28

40y = 2800

40y ÷ 40 = 2800 ÷ 40

y = 70

Answer:

20 %

Step-by-step explanation:

Answer:

About 10 for A and B

Step-by-step explanation:

Just count the little boxes :)

Answer:

The answer should be A I think

Answer:

angle z= 96°

angle x = 33

I hope it's helps you

Answer:

z = 96

x = 33

Step-by-step explanation:

Given that g and h are parallel, we can assume that 84 and z will be equal to 180.

[tex]84 + z=180\\z= 96[/tex]

Then we make the , simple algebra work!

[tex]96 = 6x - 102\\198 = 6x\\x = 33[/tex]

It's been like 2 years since I've touched geometry, but if I could remember I can explain this with proofs, sadly I can't.

Answer: $10000

Step-by-step explanation:

From the question,

Principal = $43000

Time = 5 years

Rate = Unknown

Simple Interest = $51,600 - $43000 = $8600

We need to calculate the rate of interest which will be:

Interest = PRT/100

8600 = (43000 × 5 × Rate) / 100

Cross multiply

8600 × 100 = 215000 × Rate

Rate = 860000 / 215000

Rate = 4%

Assuming Justine borrowed $50,000 instead, the yearly Interest will be:

= (50000 × 5 × 4%)

= 50000 × 5 × 0.04

= $10000

Answer:

if length is 20 and width is 12 then the perimiter is 64

Step-by-step explanation:

Answer:

$1688.26

interest= $188.26

Step-by-step explanation:

Answer:

25.5 dollars

Step-by-step explanation:

Answer:

25.5

Step-by-step explanation:

you go 85 x 0.3 and get that as your answer

Answer:

total=n÷m $165÷15,$231÷21 and $275÷25

Answer:

Radius = 3.38 cm

Step-by-step explanation:

Here's your solution

=> The volume of cylinder = 720π cm^3

=> The height of cylinder = 20 cm

=> Radius = ?

=> Formula of volume of cylinder = πr^2h

=> 22/7 * r^2 * 20 = 720π cm^3

=> r^2 = (720*7)/20*22

=> r^2 = 11.45

=> r = √11.45

=> r = 3.38 cm

hope it helps

Answer:

2/5

Step-by-step explanation:

2/5=4/10

Answer:

2/5 is great because it's 40%

3/10 is 30%

so 2/5 is greater

Answer:

729 and 1024

Step-by-step explanation:

If you take the square root of all of these numbers, only 729 and 1024 will give whole numbers.

Have a Great Day!

Answer:

Step-by-step explanation:

Apply the Pythagorean Theorrem.  Find the sum of the squares of the two shortest sides and determine whether this sum equals the square of the longest side:

#19:  5^2 + 12^2 = ? = 13^2

 25  +  144  = ? = 169    This is true, so you do have a right triange in #19.

#21:  2^2 + 4^2 = ? = 7^2, or 4 + 16 = ? = 49     This is false.  Not a right

                                                                            triangle.

Apply this same approach (Pythagorean Theorem) to the remaining problems.

The percentage of fish which will have the lengths  within 1 standard deviation of the mean is 68%.

Empirical rule is a rule for normally distributed data which defines that almost all the data observed ranges between three standard deviations from the mean.

According to empirical rule,

68% of the data lies in the standard deviation of ±1.

95% of the data lies in the standard deviation of ±2.

99.7% of the data lies in the standard deviation of ±3.

Given,

The lengths of a certain species of fish are approximately normally distributed with a given mean and standard deviation.

According to the Empirical Rule, 68% of the fish will have lengths within 1 standard deviation of the mean.

Hence the required percentage is 68%.

Learn more about Empirical Rule here :

https://brainly.com/question/30700783

#SPJ5

The formula for the circumference of a circle is [tex]\pi d[/tex].

In a:

The radius is 8 cm.

Therefore the diameter (d) would be 16cm (8 * 2)

Hence, the circumference is [tex]16\pi[/tex]

In b:

The diameter is already given: 13 in.

Thus, the circumference is [tex]13\pi =40.84[/tex] (2dp)

Answer:

11^-12 or 11 to the power or negative twelve

Step-by-step explanation:

11^-4  / 11 ^ 8

according to the laws of indices, when dealing with powers, division is subtraction. so:

-4 - 8 = -12

answer = 11^ -12

Answer:

Hello There!

Your answer is:

If this helps, please give me a thanks!!

- abakugosimp

Answer:

$3.56

Step-by-step explanation:

mark me brainlest please

Answer:

3.56

Step-by-step explanation:

First you wanna add the prices of all the food so its

Two Eggs= 3.38

Slice of Bacon= 1.49

Orange Juice= 1.09

Add All then you get 5.96 and add sales tax so you get 6.44

The Subtract 10.00 - 6.44 = A/3.56

Step-by-step explanation:

Given

6/4.2 = n/7

Cross multiply

6* 7 = 4.2n

4.2n = 42

n = 42 / 4.2

n = 10

Hope it will help :)❤

The expression with the smallest probability is: (C) P(z > 2), if z is a standard Normal random variable.

A z-core is also known as a standard score and it can be defined as a measure of the distance between a data point (raw score) and the mean, when standard deviation units are used.

In Statistics, z-scores can either be positive or negative and it is calculated by using this formula:

[tex]Z=\frac{x\;-\;u}{\delta}[/tex]

Where:

In this exercise, we would have the smallest probability for P(z > 2), when z is a standard Normal random variable.

Read more on z-scores here: https://brainly.com/question/4302527

Answer:

G. 0.08

Step-by-step explanation:

It is actually 0.8 but putting a zero before 8 is fine.

0.0008=0.8

0.8000=X