MULTIPLE CHOICE Determine which statement follows
logically from statements (1) and (2).
(1) If a triangle is equilateral, then it has three congruent sides.
(2) If all the sides of a triangle are congruent, then each of its
angles measures 60.
A If a triangle is not equilateral, then it cannot have congruent angles.
B A figure with three congruent sides is always an equilateral triangle.
C If a triangle is not equilateral, then none of the angles equals 60.
D If a triangle is equilateral, then each of its angles measures 60.

Answers

Answer 1
I think it's D. If a triangle is equilateral, then each of it's angles measures 60
Answer 2

If a triangle is equilateral, then each of its angles measures 60°. Therefore, option D is the correct answer.

What is an equilateral triangle?

An Equilateral triangle is a triangle in which all three sides are equal and angles are also equal. The value of each angle of an equilateral triangle is 60° therefore, it is also known as an equiangular triangle.

The given statements are

(1) If a triangle is equilateral, then it has three congruent sides.

(2) If all the sides of a triangle are congruent, then each of its

Here, if a triangle is equilateral, then each of its angles measures 60°.

Therefore, option D is the correct answer.

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Related Questions

Is this a geometric sequence? 100,50,10,5, 1,...

Answers

Answer:

No

Step-by-step explanation:

the width of a rectangular paper is 8.5 inches,and the diagnal length is 14 inches . what is the length of the piceof paper in inches

Answers

Answer:

Step-by-step explanation:

will 20,40,30 form a right triangle

Answers

Answer:

Yes

Step-by-step explanation:

Because it is equal to 90

Answer:

accutally the answer is no i had the same thing

Step-by-step explanation:

Plz help I’ll give brainliest

Answers

Answer:

b

Step-by-step explanation:

answer: -5

explanation: the parabola is shifted 5 unites to the left from its original point


A survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a
video game console, and 50 brought neither a microwave nor a game console. A survey participant is randomly
selected. Let M be the event that the participant brought a microwave and let C be the event that the participant
brought a video game console. Organize these events in a two-way table. What is the probability that the participant
brought both a microwave and a console, P(M and C)?
0.65
0.71
0.76
0.90

Answers

Answer:

The answer is B. 0.71

Step-by-step explanation:

The probability that the participant brought both a microwave and a console is 0.65.

Since a survey of 500 college students moving into their dorm revealed that 425 brought a microwave, 380 brought a video game console, and 50 brought neither a microwave nor a game console, to determine what is the probability that the participant brought both a microwave and a console the following calculation must be performed:

500 = 425 1 = X 425/500 = X 0.85 = X 380/500 = X 0.76 = X 0.85 x 0.76 = X 0.646 = X

Therefore, the probability that the participant brought both a microwave and a console is 0.65.

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A number greater than -5 as an inequality

Answers

Answer:

n > -5

Step-by-step explanation:

The number 4 is an upper bound for the set of roots of this polynomial function. f(x)=3x^4-5x^3-5x^2+5x+2

A.true
B.false

Answers

The answer is true hope that helps

True the no. 4 is an upper bound for the set of roots for the given polynomial.The roots can be real, imaginary or complex.

How to determine degree of a polynomial ?

To determine the degree of a polynomial just observe the highest power of the given variable.

According to the given question

A polynomial is given

f(x) = 3x⁴ - 5x³ - 5x² + 5x +2

Here we can observe that it is a polynomial in of degree 4.

We know that a polynomial of degree 'n' has n no. of roots so obviously a polynomial of degree 4 has 4 roots.

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What is the interest on $450 loan at 7% for 2 year

Answers

Answer:

$63

Step-by-step explanation:

here,

principle=$450

rate=7%

time=2yrs

intrest=?

now,

as, we know,

intrest=(p×t×r)÷100%

intrest=($450×7×2%)÷100%

intrest=$6300÷100

therefore, intrest=$63#

Interest on given principal rate of interest and time is $63.

What is the simple interest?

Simple interest is a method to calculate the amount of interest charged on a sum at a given rate and for a given period of time.

Simple interest is calculated with the following formula: S.I. = (P × R × T)/100, where P = Principal, R = Rate of Interest in % per annum, and T = Time.

Given that, principal =$450, rate of interest =7% and time period =2 years.

Now, simple interest = (450×7×2)/100

= 6300/100

= $63

Therefore, interest is $63.

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f(x)=(-3x+2) and g(x)=(2x^2-5x-1)

Answers

Answer: -6x² + 15x + 5

Step-by-step explanation:

To solve this problem, you only need to substitute g(x)'s equation as the value of the x in f(x), then simplify.

Step 1: f(x) = -3(2x² - 5x - 1) + 2

Step 2: Apply the distributive property

-3(2x²) + -3(-5x) + -3(-1)

-6x² + 15x + 3

Step 3: Simplify

f(x) = -6x² + 15x + 3 + 2

f(x) = -6x² + 15x + 5

(Random question)
Guys I have 2 doubts
1.If anything is possible, is it possible for anything to be impossible?
2. If you enjoy wasting time, is that time really wasted?

Can you answer it??
Only answer if you can answer it
(well it says tht these two are unanswerable questions) ​

Answers

Step-by-step explanation:

to be honest in my opinion

1.)the impossible makes things possible nothing is possible untill it goes through impossible (simply implying the impossible makes things possible)e.g when you undergo anything hard you learn to not give up making that thing possible in the end

2.)one should not enjoy wasting but should enjoy making and building up time for fun and important things in life like hanging out with your family and friends that's a result of making time for enjoyment instead of wasting it lol

Yuuki kun hopes he was helpful^^

Answer:

if anything was possible that it WOULD be possible for the unpossible to be possible just confused myself

Step-by-step explanation:

1+2x6+7= -13
where do i have to put the parenthesis so its correct

Answers

Answer:

you have to but it back 2 times

Step-by-step explanation:

ir is because it should be back 2 rimes

Maybe some help? pls ?!

Answers

Answer:

Irrational

Step-by-step explanation:

Answer:

it is d irrational

Step-by-step explanation:

Jen bought 5 CDs for $57.50. What was the unit rate?

Answers

Jen bought 5 CDs for $57.50. What was the unit rate?

The given price for five CD's is $57.50. You're being asked to find the unit rate, also known as unit price, which is the cost of one CD.

To find the unit rate of an item, you need to divide the price by the quantity.

[tex]\text{Unit Rate} = \frac{price}{quantity}[/tex]

The first step is to substitute the given amounts into the above formula.

[tex]\text{Unit Rate} = \frac{\$57.50}{5}[/tex]

Now, all you need to do is divide.

[tex]\text{Unit Rate} = \frac{\$57.50}{5} \rightarrow \$11.50[/tex]

The unit rate is $11.50 per CD.

Answer:

The unit rate is $11.50 per CD.

Step-by-step explanation:

Can you please answer ASAP I need the answer

Answers

Answer:

I think x=8

Step-by-step explanation:

5(x+7)+15=90

90 because it's a 90 degree angle

5x+35+15=90

5x+50=90

5x=40

x=8

Think about the expression (x-8)(x+4)
a) For what values of x will this expression be
(b) Write this product as an equivalent trinomial. equal to zero? Show how you arrived at your answer.
Show that this trinomial is also equal to zero at the larger value of x from part (a).
This is not a multiple choice question. Please help if you know how to do it.

Answers

See attachment for math work and answer.

a) The expression will be zero when x = -4 or 8

b) The trinomial equivalent of the expression is x²  - 4x  -  32

c) The trinomial equals to zero when x = 8

The given expression is (x  - 8)(x  + 4)

a) For what value of x will the expression be equal to zero

(x  - 8)(x  + 4)  =  0

This can  be split into:

x  -  8   =   0

That is,  x  = 8

x  +  4  =  0

That is,  x = -4

The expression (x  - 8)(x  + 4) equals to zero when x = -4 or x = 8

b) Write this product as an equivalent trinomial.

A trinomial is a polynomial expression with three terms

Expand (x - 8)(x + 4)

x² + 4x  - 8x - 32

x²  - 4x  -  32

c) Show that this trinomial is also equal to zero at the larger value of x from part (a)

The larger value of x from part (a) is 8

Substitute x = 8 into x²  - 4x  -  32

8² - 4(8)  -  32

=  64  -  32 - 32

=  0

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the most points you will EVER GETTTTTT i would do more points but brainly doesn't let me

Answers

Answer:

Ah Thanks so much

Step-by-step explanation:

I am so bored by the way...

Answer:

daaslkfnsdlfknsdfnsdnfsdf

Step-by-step explanation:

If window washers can wash 15 windows in 18 minutes, how long will it take them to wash 10,00

Answers

Answer:

1200

Step-by-step explanation:

15/18 * 1000/x

x = 1200

Answer:

1200 minute / 20 hour

Step-by-step explanation:

[tex]1000 \times 18 = 18000[/tex]

[tex]18000 \div 15 = 1200[/tex]

HELP HAVING BAD DAY


Jackie's dad drives her to a friend's house at the speed 30 mph. The friend's mom drives her back using the same route at the speed 25 mph. If the way back takes 6 minutes longer how far away is the friend's house?

Answers

Answer:  15 miles

===========================================

Work Shown:

t = time it takes to go from Jackie's house to her friends house

distance = rate*time

d = 30*t

This represents the distance they travel if they go 30 mph

Then when going back home, they take 6 minutes longer

6 minutes = 6/60 = 0.1 hours

So they take 0.1 hours longer meaning the t updates to t+0.1

d = r*t

d = 25*(t+0.1)

d = 25t+2.5

This represents the trip back home.

Since the distance d doesn't change, we can equate the two right hand sides and solve for t

30t = 25t+2.5

30t-25t = 2.5

5t = 2.5

t = 2.5/5

t = 0.5 hours = 30 minutes

d = 30t = 30*0.5 = 15 miles

The answer is 15 miles!

Explication:
I had the same question and this was right

-4( -3 )+ (6-2)/64 = ?

Answers

Answer:

12.0625

Step-by-step explanation:

Im not sure but im pretty sure it's correct

12.06 or 193/16 in fraction form I believe. Sorry if it’s wrong.

what is the equation of the line shown?

what is the equation of a parallel line with a y-intercept of -1?​

Answers

Answer:

y = -⅓x + 1.

y = -⅓ - 1

Step-by-step explanation:

The equation of the line shown can be expressed in slope-intercept form as [tex] y = mx + b [/tex].

b = y-intercept, which is where the line intercepts the y-axis.

The line intercepts the y-axis at 1. Therefore b = 1.

m = slope = rise/run = [tex] {y_2 - y_1}{x_2 - x_1} = \frac{0 - 1}{3 - 0} = \frac{-1}{3} = -\frac{1}{3} [/tex].

Substitute b = 1 and m = -⅓ into y = mx + b to get the equation of the line shown. Thus, the equation would be:

y = -⅓x + 1.

The equation of a line with y-intercept (b) of -1 that is parallel to the line shown, would have the same slope as the line shown but different y-intercept.

Thus, the slope of the line shown is m = -⅓, this would also be the slope of the line parallel to it.

Therefore, substitute m = -⅓ and b = -1 into y = mx + b.

y = -⅓x + (-1)

y = -⅓ - 1

The equation of the line with y-intercept big -1 that is parallel to the line shown on the graph, is y = -⅓ - 1

Please help asap!! Pretty simple if you understand I guess lol

Answers

Answer:

Step-by-step explanation:

the answer is 52

Answer:

angle z = 52

Step-by-step explanation:

solve for t

t+58=2t-12

t+70=2t

70=t

plug in the value of t in t+58

(70)+58

=128

note that angle y and z make supplementary angles, so

180-128

=52

у
4
3
2
1
-5 -4 -3 -2 -1 0
1
2 3
4
5
.
-2
.
4
Which point can Audrey remove?
Choose all that apply.
A (5,-2)
B (-1,3)
C (2, -1)
D (-1, -1)

Answers

Answer:

whats that.............

This year, there were 25% fewer sunny days than last year. That’s my question.

Answers

If there were 25% fewer sunny days this year than last year, then there were 25% more sunny days last year than this year and the number of sunny days in the coming year is unknown.

Helpppppppppppppppppppppp

Answers

....................... the answer

You are a car salesperson and make $17.50 per hour. You are paid on a biweekly basis. Your boss encourages a competition between employees by letting you know that you will receive $100 for each new car you sell. In the first week, you work 20 hours and sell 2 cars. In the second week, you work 30 hours and sell 3 cars. How much will your pay be at the end of the these two weeks?

Answers

Answer:

Your pay at the end of the these two weeks will be $1,375

Step-by-step explanation:

In the first place, it is convenient to calculate your salary each week, and then simply add the salary for each week and obtain the fortnightly pay.

In the first week you work 20 hours and sell 2 cars. Knowing that you earn $ 17.50 per hour and you receive $ 100 for each new car that you sell, then to obtain the payment in this first week you perform the calculation:

20 hours* $17.50 per hour + 2 cars * $100 for each car= $350 + $200 = $550

In the second week you work 30 hours and sell 3 cars. Then to obtain the payment in this second week you perform the calculation:

30 hours* $17.50 per hour + 3 cars * $100 for each car= $525 + $300 = $825

Then your salary at the end of these two weeks is calculated by:

Payment of the first week + Payment of the second week

$550 + $825 = $1,375

Another way to solve this problem is, first, add the total number of hours you did during these two weeks and the number of cars sold:

hours=  number of hours in the first week + number of hours in the second week= 20 hours + 30 hours= 50 hourscars=  number of cars sold in the first week + number of cars sold in the second week= 2 cars + 3 cars= 5 cars

Then your salary at the end of these two weeks is calculated by:

50 hours* $17.50 per hour + 5 cars * $100 for each car= $525 + $300 = $1,375

Note that either way you get the same result.

Your pay at the end of the these two weeks will be $1,375

What is the diagonal length of the iPad?

Answers

Answer:

9.2 inches

Step-by-step explanation:

7^2+6^2=C^2

49+36=C^2

85+C^2

√85=√C^2

9.2 in =C

^2 are exponents

The diagonal length of an iPad is 9.2 inches

Caroline's car used 16 gallons to travel 544 miles. How far can she travel on 9 gallons?

Answers

Answer:306 miles

Step-by-step explanation:

A square patio has an area of 107 square feet. How long is each side of the patio to the nearest tenth?

Answers

Answer:

Answer 26.35 rounded to 30

Step-by-step explanation:

Ok, I made a mistake on my last question, but this time I have the right one. Solve v, 5/v=2/7.25

Answers

Answer:

[tex]v=\frac{145}{8}[/tex]

Step-by-step explanation:

[tex]\frac{5}{v}=\frac{2}{7.25}[/tex]

[tex]\frac{5}{v}=\frac{2}{\frac{725}{100}}[/tex]

[tex]v=\frac{2}{\frac{5^2*29}{2^2*5^2}}[/tex]

[tex]v=\frac{145}{8}[/tex]

4.2.32
Richard and Teo have a combined age of 41. Richard is 5 years older than twice Teo's age. How old are Richard and Teo?
Richard is years did, and Teo is years old.
Type whole numbers.)

Answers

Answer:

Step-by-step explanation:

Let R = Richard, T = Teo.

Richard and Teo have a combined age of 41. This means that if you add their ages together you get 41:

R + T = 41

We are also told Richard is 5 years older than twice Teo's age:

R = 2T + 5

You can substitute " R " into R + T = 41

R + T = 41

2T + 5 + T = 41

3T + 5 = 41

Subtract 5 from both sides

3T = 41 - 5

3T = 36

Divide both sides by 3 to find T.

T = 36/3 = 12

We know that R + T = 41, so

R = 41 - T

R = 41 - 12

R = 29

Answer:

Richard is 29 and Teo is 12

Step-by-step explanation:

let Teo's age be n then Richard is 2n + 5 ( 5 more than twice Teo's age )

Thus their combined ages are

n + 2n + 5 = 41 , that is

3n + 5 = 41 ( subtract 5 from both sides )

3n = 36 ( divide both sides by 3 )

n = 12

Then

Teo is 12 years old and Richard is 2(12) + 5 = 24 + 5 = 29 years old

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