Two of the statements are true; one is a lie.

Select the one that is a lie.
Then explain your reasoning.

The measure of ∠CAF is 25 degrees.
∠DAE ≌ ∠FAB.
∠BAF and ∠EAB are complementary.

Answer:

c

Step-by-step explanation:

Answer:

the answer is 5

Step-by-step explanation:

Answer:

$65.00

Step-by-step explanation:

Cost price of shirt after giving discounts is equals to [tex]\$68[/tex].

" Cost price is defined as the price to be paid at the time of purchase any product."

According to the question,

Initial cost price of shirt [tex]= \$100[/tex]

First discount [tex]= 15\%[/tex]

Discount amount [tex]= 15\%[/tex] of [tex]100[/tex]

                             [tex]= \frac{15}{100} \times 100\\\\= \$15[/tex]

Cost price after first discount [tex]= 100 - 15[/tex]

                                                 [tex]= \$85[/tex]

Second discount [tex]= 20\%[/tex]

Discount amount [tex]= 20\%[/tex] of [tex]85[/tex]

                             [tex]= \frac{20}{100} \times 85\\\\= \$17[/tex]

Cost price after first discount [tex]= 85 - 17[/tex]

                                                 [tex]= \$68[/tex]

Hence, cost price of shirt after giving discounts is equals to [tex]\$68[/tex].

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Answer:

1/15 mile

Step-by-step explanation:

(1/25) / (3/5)

When dividing by a fraction flip it over and multiply

(1/25) * (5/3) = 5/75

Reduce

1/15 mile

Answer: 10 groups

Step-by-step explanation:

Since we know she is making a group of 7 sheep, we can do 37-7 to get 30 sheep left

If she wants to find how many groups she can make we have to do 30/3 which gets us to 10 which is the number of groups she can do

I hope this helps

Answer:

53 weeks

Step-by-step explanation:

Given :

Reams of paper used :

3 reams = 4 Week

A case of 5 paper = 8 reams

Hence,

5 cases of paper = (8 * 5) = 40 reams

If :

3 reams = 4 weeks

40 reams = x

Cross multiply :

3x = 40 * 4

3x = 160

x = 160 / 3

x = 53. 333

Approximately 53 weeks (nearest whole number)

Answer:

about 1 hour and 9 minutes or 69 minutes

Step-by-step explanation:

I always add the hour first if I can (from 7:41 to now 8:41) and then add however many minutes are left (9 minutes).

Answer:

s

Step-by-step explanation:

Answer:

x = -1.525

y = 8.525

Step-by-step explanation:

xy = -13

x + y = 7

we can let 'y' equal 7-x and use substitution

x(7-x) = -13

7x - x² + 13 = 0

divide through by negative one to get a positive x²

x² - 7x - 13 = 0

use the quadratic formula to get:

x = -1.525

y = 8.525

From What I understood, I need to find the area and perimeter of those shapes

Bolded words are answers

1. Triangle

Area

9*15=135

135/2=67.5

Perimeter

15+15=30

30+9=39

2. Pentagon

Area: 15.48

Perimeter: 15

Hope this Helps!

Answer:

Okay very easy, The answer is: She sold 5 cupcakes.

Step-by-step explanation:

She sold 5 cupcakes

Because if you add 3 till you get to 15 you get 5

Answer:

a) [tex]\frac{19}{52}[/tex]

b) [tex]\frac{7}{52}[/tex]

Step-by-step explanation:

Total number of students = 52

Number of students who are democrats = 26

Number of students who are business majors = 12

Number of students who are business majors as well as democrats = 7

Now, lets come to the question.

a) Number of students who are democrats but not business majors =

(Number of democrats) - (Number of democrats as well as business majors)

⇒ 26 - 7

⇒ 19

∴ P (Democrat who is not a business major) = [tex]\frac{19}{52}[/tex]

b) Number of students who are neither democrats nor business majors =

(Total number of students) - (Number of democrats + Number of business majors + Number of democrats as well as business majors)

⇒ 52 - (26 + 12 + 7)

⇒ 52 - 45

⇒ 7

∴ P (Neither democrat nor business major) = [tex]\frac{7}{52}[/tex]

Answer:

Perimeter=56 units

Area =196 square unites

Step-by-step explanation:

The diagonal would be 14√2.

The formula for area using the diagonal is 1/2d².

1/2x(14√2)²=1/2x196x2=196

For perimeter, s²+s²=392

2s²=392

s²=196

s=√196

s=14

14x4=56

Answer:

both manufactures' claims are true because most of there batteries lasted longer than the average alkaline battery.

Step-by-step explanation:

PLATO USERS

Answer:

Both companies claim that their batteries last longer than the average alkaline battery is true .

Step-by-step explanation:

Both companies claim that their batteries last longer than the average alkaline battery  is true because most of the batteries of these companies  did passed the test to last longer.

As we can project from that table given that around 77% Energized batteries passed the test and around 67% powered cell  batteries passed the test.

hence we can also inferred from here that Energized batteries are more consistent.

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Answer:

The company must replace 0.0042 = 0.42% of packages.

Step-by-step explanation:

For each screw, there are only two possible outcomes. Either it is defective, or it is not. The probability of an screw being defective is independent of any other screw. 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.

It is known that screws produced by a certain company will be defective with probability 0.01.

This means that [tex]p = 0.01[/tex]

The company sells the screws in packages of 10

This means that [tex]n = 10[/tex]

That is, the package would have to be replaced if greater or equal to 2 screws are defective. What proportion of packages sold must the company replace?

This is:

[tex]P(X \geq 2) = 1 - P(X < 2)[/tex]

In which:

[tex]P(X < 2) = P(X = 0) + P(X = 1)[/tex]

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

[tex]P(X = 0) = C_{10,0}.(0.01)^{0}.(0.99)^{10} = 0.9044[/tex]

[tex]P(X = 1) = C_{10,1}.(0.01)^{1}.(0.99)^{9} = 0.0914[/tex]

[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.9044 + 0.0414 = 0.9958[/tex]

[tex]P(X \geq 2) = 1 - P(X < 2) = 1 - 0.9958 = 0.0042[/tex]

The company must replace 0.0042 = 0.42% of packages.

Answer:

- 23

- 0.5

Step-by-step explanation:

- 31 + 8

- 23

- 1 × 0.5

Answer:

Square pyramid

Step-by-step explanation:

9514 1404 393

Answer:

  D  (53π)/180

Step-by-step explanation:

There are π/180 radians in 1 degree, so in 53°, there are ...

  53(π/180) radians = (53π)/180 radians

Answer:

120cm^3

Step-by-step explanation:

The graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = ± 2 is plotted and attached.

Local Maxima →

If f'(x) changes sign from positive to negative as x increases via point c, then f(c) represents the maximum value of the function in that range.

Local Minima →

If f'(x) changes sign from negative to positive as x increases via point c, then f(c) gives the minimum value of the function within that range.

Given is to sketch a graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = + 2.​

Refer to the graph of the function attached.

It shows a parabola indicating a quadratic function that has a maximum value of (0, 2) and x - intercepts at x = ± 2.​

Therefore, the graph of a quadratic function that has a maximum value of (0, 2) and x-intercepts when x = ± 2 is plotted and attached.

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Answer:

168

Step-by-step explanation:

168+8+4=180

expand and simplify (2x + 1)(x + 3)

answer : [tex]2x^2+7x+3[/tex]

-

explanation : expand the polynomial using the FOIL method.

-

FOIL : a technique for distributing two binomials. the letters FOIL stand for first, outer, inner, last. first means multiply the terms which occur first in each binomial, outer means multiply the outermost terms in the product, inner means multiply the innermost terms, and last means multiply the terms which occur last in each binomial.

-

step 1 : multiply each term in the first parentheses by each term in the second parentheses (FOIL)

ex : [tex]2x * x+2x * 3+x+3[/tex]

step 2 : calculate the product

ex: [tex]2x^2+2x * 3+x+3[/tex]

step 3 : calculate the product

ex: [tex]2x^2+6x+x+3[/tex]

step 4 : collect like terms

ex: [tex]2x^2+7x+3[/tex]

-

solution : [tex]2x^2+7x+3[/tex]

hope this helps !

- audrey ♡

Answer:

infinitely many

Step-by-step explanation:

Answer:

there is an infinite number of triangles that can be created.

Step-by-step explanation:

To satart, you have a line, that is 8 cm, with a circle, with the center on one of its endpoints, that has a radius of 3 cm. s in this case, 2 sides of the triangle would be 8 and 3. now, with this combintion, you could have a triangle that the missing side is from 6 to 10. there is an infinite amount of numbers inbetween 6 and 10. for example, you could have 6, 6 1/4, 6 1/8, or 6 1/16.

The list goes on and on.

Answer:

2/10 (A)

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation:

3x-2(-2)=x

3x-4=x

-4= -2x

x=2

y=3(2)-2

y=6-2

y=4

(2,4)

Answer:

linked the graph!

Step-by-step explanation:

Answer:

Using the slope-intercept form, the slope is −5

y=0,-1

Step-by-step explanation:

Answer:

x = 110

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x° is an exterior angle of the triangle, then

x = 60 + 50 = 110

Answer:

[tex]x + y\le 3000[/tex]

Step-by-step explanation:

Given

[tex]x \to booth[/tex]

[tex]y \to brochures[/tex]

[tex]Total = 3000[/tex]

Required

The inequality for this scenario

The total spending will not exceed the amount they have to spend; So, the inequality is:

[tex]x + y\le 3000[/tex]

Answer:

-10, -|-8|, -(-2), |-11|, 5²

Step-by-step explanation:

Answer:

YOU POST THIS TWICE

IT'S -10, -|-8|, -(-2), |-11|, 5²

Step-by-step explanation: