Triangles FAD and DCE are translations of triangle ABC.
Select all the statements that must be true. (Lesson 1-21)
A. Points B, A, and F are collinear.
PERIOD
E
(B.) The measure of angle BCA is the same as the measure of angle CED.
C. Line AD is parallel to line BC.
D. The measure of angle CED is the same as the measure of angle FAD.
(E.) The measure of angle DAC is the same as the measure of angle BCA.
F. Triangle ADC is a reflection of triangle FAD.

Answer:

12

Step-by-step explanation:

You have 15 pencils in your pencil case.1/5 of the pencils are green. How many are not green?

= 1 - 1/5

= 5/5 - 1/5

= 4/5

This means that 4/5 of the 15 pencils are not green. So:

4/5 * 15 = 12 pencils are not green.

The result of the algebraic expression is 5x - 2y - 10.

Algebraic Expression:

An algebraic expression is an expression which is made up of variables and constants, along with algebraic operations (addition, subtraction, etc.).

Given,

Here we have the expression 2+4x-12-2y+1x.

Here we have to solve this expression and we have also find simplified form of it.

In order to solve it,

First we have to write the given expression,

=> 2+4x-12-2y+1x

Now, we have to combine the like terms, then we get,

=> (4x + 1x) + (2 - 12) - 2y.

Now, we have to perform the appropriate operation on it,

Then it can be written as,

=> 5x + (-10) - 2y

Now we have to write the equation in the standard form, then we get the result as,

=> 5x - 2y - 10.

Therefore, the resulting standard form of the equation is 5x - 2y - 10.

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Answer:

w = 9

Step-by-step explanation:

This is a 90-degree angle, so if you add both equations together, they will equal 90.

First, write the equation:

(4w - 7) + (7w - 2) = 90

Then you solve for w:

- add like factors

11w - 9 = 90

- add 9 to both sides

11w = 99

- divide both sides by 11

w = 9

So, the value of w is 9.

To check, plug your answer into the equation to check if it's true:

(4(9) - 7) + (7(9) - 2) = 90

(36-7) + (63-2) = 90

29 + 61 = 90

90 = 90

Answer:

Surface area= 6(5·5)+6(3·3)-2(3·3)

Step-by-step explanation:

first figure out the surface area of both cubes

for the larger cube- 5 multiplied by 5 for the area of one side then multiplied by 6 for all faces

for the smaller cube- 3 multiplied by 3 for the area of one side then multiplied by 6 for all the faces.

the cubes are touching on one face, this is the whole area of one side of the 3 by 3 cube, meaning two of these faces must be subtracted to find the surface area of the whole shape

hope that helps

The percent tip when Jayden's dinner bill is $29 is 18%.

According to the question,

We have the following information:

Bill of Jayden's dinner = $29

After adding the tip, Jayden paid $34.22.

Now, we will find the percent tip.

First, we will find the amount added to the bill.

$(34.22-29)

$5.22

Now, let's take the percent tip to be x%.

x% of 29 = 5.22

29x/100 = 5.22

29x = 522

x = 522/29 (29 was in multiplication on the left hand side. So, it is in the division on the right hand side.)

x = 18%

Hence, the percent tip on Jayden's dinner is 18%.

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It took David 1 [tex]\frac{3}{4}[/tex] hours more to reach her aunt's home due to labor day traffic.

The unitary method is a method in which you find the value of a single unit and then the value of a required number of units.

Given is Davin who needs 1 3/4 hours to get to his aunt's house. However, due to the labor day traffic this year it took him 3 1/5 years.

We have to find the difference between the time span Davin took to reach his aunt's house.

Time taken by Davin without the labor day traffic = T[N] = 1 3/4 = 7/4 hours

Time taken by Davin with the labor day traffic = T[L] = 3 1/5 = 16/5 hours

Difference in time spans = T[D] = T[L] - T[N]

T[D] = 16/5 - 7/4

T[D] = 3.2 - 1.75

T[D] = 1.45 = 1 + 0.45

T[D] = 1 [tex]\frac{3}{4}[/tex] hours  

Davin took 1 [tex]\frac{3}{4}[/tex] hours more.

Therefore, it took David 1 [tex]\frac{3}{4}[/tex] hours more to reach her aunt's home due to labor day traffic.

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Answer Las raíces de la ecuación x2 − 6x + 7 = 0 son α y β. Encuentra la ecuación con raíces α + 1 β y β + 1 α. Deduzco que α + β = − b a = 6 1 = 6 y que αβ = c a = 7 1 = 7.

Step-by-step explanation:

Area under the standard normal curve of z - score :

P(z < 0.54) = 0.7054

Given:

The area under the standard normal curve left is z = 0.54.

and, also sketch the area of normal curve and allocate the area left to the z - score .

What do z-scores mean?

Z-score indicates how much a given value differs from the standard deviation. The Z-score, or standard score, is the number of standard deviations a given data point lies above or below mean. Standard deviation is essentially a reflection of the amount of variability within a given data set.

Now,

The area under the curve represents the probability, therefore, the total area under the curve is equal to 1.

The Area under the standard normal curve of z - score :

P(z < 0.54) = 0.7054

Here, The sketch the under the standard normal curve  over the indicated interval.

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As Marilyn wants to use a non-price competitive marketing strategy to gain more customers, the strategy that she might use is offering a promotion.

In marketing, the non-price competition refers to a marketing strategy in which a firm tries to distinguish its product or service from competing products on the basis of attributes like design and workmanship.

This competition most often occurs in an imperfectly competitive markets because it exists between producers that sell goods and services at same prices but competes to increase their respective market shares through different non-price measures such as marketing schemes and greater quality.

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Consider that a rotation of 90° clockwise is given by:

T(x,y) => (y,-x)

The coordintates of the point L is L(0,1), the, after the rotation you have:

T(0,1) => (1,0)

answer:

D. L(1,0)

Answer:

0.64 is 1 3/5% of 40

Step-by-step explanation:

Answer:

Your answer is 93.3.

Step-by-step explanation:

[tex]53-[/tex][tex](-40) = 93.3[/tex]

Answer:

[tex](f \circ g)(24)=-36[/tex]

Step-by-step explanation:

Given functions:

[tex]\begin{cases}f(x)=-9x+9\\g(x)=\sqrt{x+1}\end{cases}[/tex]

Function Composition is applying one function to the results of another.

The composite function (f o g)(x) means to substitute the function g(x) in place of the x in function f(x).  

Therefore (f o g)(24) means to substitute the result of g(24) in place of the x in the function f(x).

Calculate g(24) by substituting x = 24 into function g(x):

[tex]\begin{aligned}\implies g(24)&=\sqrt{24+1}\\&=\sqrt{25}\\&=5 \end{aligned}[/tex]

Therefore:

[tex]\begin{aligned}\implies (f \circ g)(24) & = f[g(24)]\\& = f(5)\\& = -9(5)+9\\&=-45+9\\&=-36\end{aligned}[/tex]

Answer:

(f∘g)(24) = -36

Step-by-step explanation:

We are given f(x) = -9x + 9 and  [tex]g(x)= \sqrt{x+1}[/tex].

We want to find (f∘g)(24).

This means that we first want to find g(24), then substitute the value of that into f(x).  

Start by substituting 24 for x in g(x).

[tex]g(24)= \sqrt{24+1}[/tex]

Add 24 and 1 together.

[tex]g(24)= \sqrt{25}[/tex]

Take the square root of 25.

g(24) = 5

Now, substitute 5 as x in f(x) = -9x + 9.

f(5) = -9(5) + 9

Multiply.

f(5) = -45 + 9

Add the numbers together.

f(5) = -36

f(5) in this case has the same value as (f∘g)(24)

This means that (f∘g)(24) = -36

Answer:

The graph of a quadratic function will always have one y-intercept

Step-by-step explanation:

y = 2x - 12

Let's begin by identifying key information given to us:

Principal (p) = $690

Interest rate (r) = 7% = 0.07 per year

Time (t) = 8 years

The amount of money that Ji-yoon has in 8 years is calculated as shown below:

A person must score at least 129.24 to be in the top 10%.

Using the z-table, find the z-score that corresponds to the 90% probability.

probability = 0.90

z-score = 1.2825

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

The z-score can be calculated using the formula below.

z-score = (x – μ) / σ

where x = individual data value

μ = mean

σ = standard deviation

Plug in the values and find the score to be in the top 10%, x.

z-score = (x – μ) / σ

1.2825 = (x – 110) / 15

x – 110 = 19.2377

x = 129.24

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Answer: No

Step-by-step explanation:

The segments are not indicated to be congruent.

Answer:

The answer is B.

Step-by-step explanation:

I remember this question.

Answer:

c

Step-by-step explanation:

Explanation

Step 1

diagram

so

Step 2

let

a)total area= side1*side 2

and

Step 3

solve

let

and in teh second equation we have

replace to find y

so

the maximum area is

so, the greates area is

therefore, the answer is

359.1 square cm

I hope this helps you

The percentage of the employed population are people older than 40 who do not work in the hospitality industry is B. 17%.

The city's residents work in the hospitality industry = 28%

The residents that are age 40 or younger, and 15% of residents are people age 40 or younger = 55%

Those who work in the hospitality industry that are younger than 40% = 15%

Therefore, those that don't work in the industry will be:

Percentage of 40 or older - Percentage of those working

= (100 - 55%) - 28%

= 45% - 28%

= 17%

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Answer:

350m

Step-by-step explanation:

Vi = 15 m/s

A = 4 m/s^2

delta t = 10s

delta x = ?

delta x = (Vi)(delta t) + 1/2(A)(delta t)^2

delta x = (15m/s)(10s) + 1/2(4m/s^2)(10s)^2

delta x = 350 m

The alternative hypothesis(h1) says that the treatment causes a change in the scores.

What is a hypothesis test?

In statistics, hypothesis testing involves putting an analyst's presumption about a population parameter to the test. The data type used and the study's purpose will determine the methodology the analyst uses.

Using sample data, hypothesis testing determines whether a claim is plausible. These data could originate from a broader population or a process that creates data.

Hence, the alternative hypothesis(h1) says that the treatment causes a change in the scores

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Answer:

0

Step-by-step explanation:

Answer:

279=157+398m

Step-by-step explanation:

hope its right?

The equations are solved to give;

46. x = 5

48. h = 1

50. The inequality is 7 ≤ d/ -5

An algebraic expression is described as a mathematical expression that is composed of terms, factors, coefficients, constants and variables.

They are described as expressions made up of arithmetic operations which includes;

Given the expression;

46.  |2x + 5| = 3x

Take the absolute value, we have;

2x + 5 = 3x

collect like terms

2x - 3x = - 5

-x = -5

x = 5

48.  (3h + 8) + 2 = 13

expand the bracket

3h + 8 + 2 = 13

collect like terms

3h = 13 - 10

3h = 3

Make 'x' the subject of formula

h = 1

50. Seven is at most the quotient of a number d and -5.

This is expressed as;

7 ≤ d/ -5

Hence, the values are x = 5, h = 1 and 7 ≤ d/ -5

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Answer: B

Step-by-step explanation:

The preimage is "flipped" over the x axis to form the image.

Option A is a reflection over the line y=x.

Option C is a rotation of 180 degrees about the origin followed by a dilation.

Option D is a reflection over the x-axis.

Option E is also a reflection over the x-axis.

Answer:

5 inches of wire.

Step-by-step explanation:

60/12 = 5

So at .05 an inch,  you can afford 5 inches at 25 cents

Please mark brainliest!

Answer:

y axis-(0,6) x axis-(5,0) quad 1-(8.7,2.3) quad 2-(-1,10)  quad 3-(-1/4,-6 1/2) quad 4-(5,-2)

Step-by-step explanation: