In each diagram, line m is parallel to line n, and line t intersects lines m and n.
1149n669
98°125°m
829ve
Based on the diagrams, which statement is true? (8.8D, SS, RC3)
F The value of x is 125, because the two angles shown in each diagram are congruent.
G The value of x is 55, because the two angles shown in each diagram are supplementary.
The value of x is 90, because the two angles shown in each diagram are right angles.
y The value of x is 75, because the two angles shown in each diagram are complementary,

9514 1404 393

Answer:

  C.)  (3, 2)

Step-by-step explanation:

The coefficients of y are opposites, so we can add the two equations to eliminate y.

  (x +2y) +(x -2y) = (7) +(-1)

  2x = 6 . . . . . simplify

  x = 3 . . . . . . matches choice C

Answer:

13.4%

Explanation:

So the change in population is 9,000. The percentage of population loss is just the change in population divided by the original population.

x=9,00067,000=0.134

Turn 0.134 into a percent so that we get 13.4%. So the percent of population loss is 13.4%.

hope it helps

please mark Brainliest

Answer:

56π units²

Step-by-step explanation:

area of entire circle = πr² = π8² = 64π

360° - 45° = 315°

(315/360)(64π) = 56π units²

Answer:56 square Units

Step-by-step explanation:

9514 1404 393

Answer:

  2.4

Step-by-step explanation:

We can see that this is a 3-4-5 right triangle, so side AB is 5 units long.

The area of the triangle is ...

  A = 1/2bh = 1/2(3 units)(4 units) = 6 units

This is true also when side AB is the base and CD is the height.

 A = 1/2(AB)(CD)

  6 = 1/2(5 units)(CD) . . . . . substitute given information

  6/2.5 = CD = 2.4 . . . . . . . divide by the coefficient of CD

The length of side CD is 2.4 units.

__

In the attached, the height to vertex C is given on the bottom line.

Step-by-step explanation:

[tex] \to 3 \times \dfrac{1}{3} \\ \\ \to\dfrac{3 \times 1}{3} \\ \\ \to\dfrac{3}{3} \\ \\ \to\pmb{1}[/tex]

[tex] \to5 \times \dfrac{2}{4} \\ \\ \to \dfrac{5 \times 2}{4} \\ \\ \to \dfrac{10}{4} \\ \\ \to \dfrac{5}{2} \\ \\ \to \pmb{2 \dfrac{1}{2} }[/tex]

Answer:

Number 1 : Answer is 1

Number 2: Answer is 2 1/2

Step-by-step explanation:

1)

We are multiplying 3 and 1/3

3 can be written as 3/1

Multiply:

[tex]\frac{3}{1} * \frac{1}{3} = \\\\\frac{3 * 1}{1 * 3} = \\\\\\\frac{3}{3} = 1[/tex]

2)

We are multiplying 5 and 2/4

2/4 can be written as 1/2 because 2 is the half of 4

[tex]\frac{5}{1} * \frac{1}{2} = \\\\\\\frac{5}{2} = 2 \frac{1}{2}[/tex]

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

Step-by-step explanation:

http://www.mrbartonmaths.com/resources/GCSE%20Revision/GCSE%20Maths%20Takeaway/2.%20Grade%20D/46.pdf

You can find it in this site

Answer: 19/28

Step-by-step explanation:

9/28 participate, so that means that ? dont participate.

28/28 = 1 whole

28 - 9 = 19

so 19/28 students do not participate in after school activities.

Answer:

Step-by-step explanation:

To fins this you need to find the other side. To do this you need to do 3 squared plus 5 squared and find the square root of the product. That is about 5.8.

Then you need to do 10 squared plus 5.8 squared, which is 133.6, then find the square root of that, which is 11.6 .

Answer:

336.16

Step-by-step explanation:

life

Answer:

366.16

Step-by-step explanation:

just add them!

Answer:

The van overtakes the truck at 2:15 PM.

Step-by-step explanation:

A truck leaves a depot at 11 AM and travels at a speed of 45 mph.

The van leaves 1 hour later, so when the van leaves, the truck will be at position 45 miles. The equation for the truck's position is given by:

[tex]T(t) = 45 + 45t[/tex]

At noon, a van leaves the same place and travels the same route at a speed of 65 mph.

At noon, the van is at the position of 0 miles, and travels at a speed of 65 miles per hour. So, the equation for the vans' position is:

[tex]V(t) = 65t[/tex]

At what time does the van overtake the truck?​

t hours after noon, in which t is found when:

[tex]V(t) = T(t)[/tex]

So

[tex]65t = 45 + 45t[/tex]

[tex]20t = 45[/tex]

[tex]t = \frac{45}{20}[/tex]

[tex]t = 2.25[/tex]

0.25 of an hour = 1/4 = 15 minutes.

Thus, the van overtakes the truck at 2:15 PM.

Answer:

the Answer is 3x+12)+X=180

Answer:

B is the correct answer..

Answer:

Hey

Step-by-step explanation:

Sorry i need the points sorry

Answer:

25 yards squared

Step-by-step explanation:

Answer:

area =27

Step-by-step explanation:

Answer:

a) The value of the z-statistic is z = -2.55.

b) The p-value for this test is 0.0054.

Step-by-step explanation:

Suppose that in past campaigns 23.8% of customers identified as likely respondents did not respond to a nationwide direct marketing campaign. Test if this proportion has decreased:

This means that at the null hypothesis we test that if the proportion is still 0.238, that is:

[tex]H_0: p =0.238[/tex]

And at the alternate hypothesis we test if the proportion has decreased, that is:

[tex]H_a: p < 0.238[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

0.238 is tested at the null hypothesis:

This means that [tex]\mu = 0.238, \sigma = \sqrt{0.238*0.762}[/tex]

The analysts selected a random sample of 1500 customers and found that 315 did not respond to the marketing campaign.

This means that [tex]n = 1500, X = \frac{315}{1500} = 0.21[/tex]

a. Determine the value of the z-statistic. Give your answer precise to at least two decimal places.

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{0.21 - 0.238}{\frac{\sqrt{0.238*0.762}}{\sqrt{1500}}}[/tex]

[tex]z = -2.55[/tex]

The value of the z-statistic is z = -2.55.

b. Determine the p-value for this test. Give your answer precise to at least three decimal places.

The p-value of the test is the probability of finding a proportion below 0.21, which is the p-value of z = -2.55.

Looking at the z-table, z = -2.55 has a p-value of 0.0054

The p-value for this test is 0.0054.

Answer:

A. Reflection over the y axis and a translation 4 units down

B. Yes because glide reflections preserve side and angle measures.

Answer:

n= 2x-5

Step-by-step explanation:

The Expression for the statement is x= 2y -5.

A mathematical operation such as subtraction, addition, multiplication, or division is used to combine terms into an expression. In a mathematical expression, the following terms are used:

Given:

A number is five less than twice another number.

let the number be x and the another be y.

So, the mathematical Expression is

five less than twice another number.

= 2y -5

So, the expression is

x= 2y -5.

Learn more about Expression here:

https://brainly.com/question/14083225

#SPJ2

Answer:

All you need to do is find the frequency of the Science Test Scores. For Example, there are 6 students that made a 90%. So, you put 6 dots on the graph where it says 90. For the rest of the numbers, you do the same thing. 3 students made a 50, 2 students made a 60, 7 students made a 70, 5 students made an 80, and like I said 6 students made a 90. Add 0 dots to 40% and 100%, as you can see no students made a 40 or a 100 :(

Step-by-step explanation:

Answer:

9/25

2

3.5

Step-by-step explanation:

0.36 as a fraction :

(0.36 / 1)

Multiply both numerator and denominator by 100

36 / 100

Reduce to lowest form

Divide both numerator and denominator by 4

9/25

2.

√3 = 1.732

=2 (nearest whole number

3.)

Approximate value of √12

√12 = 3.4641016

= 3.5

Answer:

multiplication and subtraction

Step-by-step explanation:

4(n-3)

Answer:

Step-by-step explanation:

Sarah’s neighbor offers to pay her $5 for every shark tooth she finds on the beach. After collecting only three shark’s teeth, Sarah decides to share the opportunity with her friend John. Sarah can find shark teeth twice as fast as John, but she can earn even more money with his help.

Sarah can use the expression 5(2j + 3 + j) to represent the amount of money they can earn.

Part 1: Writing Expressions

Q1. Write an expression that looks like Sarah’s expression: 5(2j + 3 + j). Replace the coefficients so that your expression is not equivalent. You may use any number that you choose to replace the coefficients. Be sure to leave the variables the same. For example, 8(3j + 7 + 3j) looks like Sarah’s expression but is not equivalent.

25(10j + 18 + 5j)

Your expression is good.

Q2. Translate the new algebraic expression you created in Question 1 to a verbal expression.  

Skuttle offered to pay his sister Izzy $25 for every four leaf clover she finds in the woods. Izzy finds 18 clovers but decides to get Roxy’s help. Izzy finds clovers twice as fast as Roxy but they will over all make more money together.

Your verbal expression is good. It refrects your chosen equation.

Part 2: Writing Equivalent Expressions

Q3. Use your knowledge of the mathematical properties to create two equivalent algebraic expressions for the algebraic expression you created in Question 1. Explain how you arrived at the equivalent expressions by showing all your steps and stating which properties you used.

Using commutative property of addition, the expression in question 1 can be rewritten as follows:

25(10j + 18 + 5j) = 25(10j + 5j + 18)

Using distributive property of multiplication over addition, the expression in question 1 can also be rewritten as follows:

25(10j + 18 + 5j) = 250j + 450 + 125j

Q 4. Use substitution to prove your algebraic expressions are equivalent. You may substitute any number for the variables you choose. Show all your work for complete credit.

Now we can subsitute, say 7 for j.

For the first expression, we have:

25(10j + 5j + 18) = 25(10(7) + 5(7) + 18)

= 25(70 + 35 + 18) = 25(123) = 3,075.

For the second expression, we have:

250j + 450 + 125j = 250(7) + 450 + 125(7) = 1,750 + 450 + 875 = 3,075.

Thus, we can see that both expressions are equivalent.

Part 3: Finish the Story

Q5. Write a few sentences to end Sarah’s story. How many shark teeth did she find? How many shark teeth did John find? How much money did they earn?

Sarah found 3 + 7 = 10 shark teeth.

John found 10 / 2 = 5 shark teeth.

The total money they earned is $5 x 15 = $75.

1) an expression that looks similar would be (could be anything)

4(5j+8+4j)

2) It would become:

four times the sum of five times a number, eight, and four times the same number

3)  equivalents would be 4(9j+8)

or:

4(5j)+4(8)+4(4j)

4) say J=1 for simplicity

4(9+8)

=4x17

=68

next one would be:

4x5+4x8+4x4

=20+32+16

=68

ok, this is correct.

5) Sarah found 10 shark teeth for $50. John found 5 shark teeth for $25. They got $75 from their neighbor in total.

Step-by-step explanation:

Answer:

translation

Step-by-step explanation:

same size just moved

Step-by-step explanation:

Oak tree -> 11 units

Garden-> 1 unit

Total-> 12 units which is 108 years

So, 1 unit is 9.

Garden-> 9 years

Oak tree-> 99 years.

Answer:

Three places to the left

Step-by-step explanation:

It would be moved to the left because 407.26 is being divided by 1000, not multiplied. It would be 3 because there are three zeroes in 1000.

Answer:

left

Step-by-step explanation:

the number of places must correspond to the number of zeros.

for example. 407.26 and 100.

you need to move the point twice to the left. which will give you...4.0726.

Answer:B

Step-by-step explanation:

just took the test

Step-by-step explanation:

Here are the solutions:

For the sample size of 300, with 27 defectives, the sample proportion is p-hat = 27/300 = 0.09.

For a 90% confidence interval of a proportion, use z = 1.645.

The limits of the interval are then:

Lower limit = p-hat - z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/300) = 0.0628

Upper limit = p-hat + z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/300) = 0.1172

The 90% confidence interval is then (0.0628, 0.1172)

For the larger sample, assuming that the same proportion of defectives is found (p-hat = 0.09), the new confidence interval would be:

Lower limit = p-hat - z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/20,000) = 0.0867

Upper limit = p-hat + z* sqrt(p-hat*(1 - p-hat)/n) = 0.09 - 1.645*sqrt(0.09*0.91/20,000) = 0.0933

In this case, the 90% confidence interval is (0.0867, 0.0933)

Thanks,