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.

To learn more about an equilateral triangle visit:

https://brainly.com/question/17824549.

#SPJ2


Related Questions

Regal Cinemas sold a total of 8500 movie tickets. Proceeds totaled $64,600. Tickets can be bought in one of 3 ways: a matinee admission cost $5, student's admission is $6 all day, and regular admission are $8.50. How many matinee tickets were sold if twice as many student tickets were sold as matinee tickets? * Only type the number of matinee tickets that were sold

Answers

Answer:

900

Step-by-step explanation:

From the information given you can write the following equations:

x+y+z=8500 (1)

5x+6y+8.50z=64600 (2)

y=2x (3)

First, you can replace (3) in (2) and (1):

x+2x+z=8500

3x+z= 8500 (4)

5x+6(2x)+8.50z=64600

5x+12x+8.50z=64600

17x+8.50z=64600 (5)

Now, you have two equations:

3x+z= 8500 (4)

17x+8.50z=64600 (5)

Then, you can isolate z in (4):

z=8500-3x (6)

Next, you can replace (6) in (5):

17x+8.50(8500-3x)=64600

17x+72250-25.5x=64600

7650=8.5x

x=7650/8.5

x=900

You can replace the value of x in (3) to find y:

y=2x

y=2*900

y=1800

Finally, you can replace the value of x in (6) to find z:

z=8500-3(900)

z=8500-2700

z=5800

According to this, the answer is that 900 matinee tickets were sold.

Is (5, 9) a solution to the system of inequalities?



x + y > 12





2x - y < 4

Answers

I think it is.

I’m not sure.

Answer:

yes (5,9) is a solution to the system of inequalities

Step-by-step explanation:

5+9= 14

14>12 - this statement ends up being true

2(5)-9

10-9=1

1<4- this statement also ends up being true

y’all tryna help me :/

Answers

IM DOING THE SAME THING ALEKS KNOWLEDGE CHECK

Answer:

4.12

Step-by-step explanation:

a^2 + b^2 = c^2

a^2 + 8^2 = 9^2

a^2 + 64 = 81

        -64   -64

a^2 = 17

square root of 17 = 4.12310

round to the nearest hundredth 4.12

The given measurement of a surface Area of a sphere is 196π.Find it's radius
(thanks in advance)​

Answers

Answer:

Hope this solution helps you. Sorry for the handwriting .

I need helpppp!???
What is the slope of the line???

Answers

Answer:

slope: -3/-4

Step-by-step explanation:

theres the answer

Answer:

3/4

Step-by-step explanation: you start at the point (0,-1) and rise 3 and run 4 to get to the point (4,2)

x-5
x+3
What are the restrictions?

Answers

Let's simplify step-by-step. Sowwy im late

x- 5x + 3

= x + - 5x + 3

combine like terms:

= x + - 5x + 3

= (x + - 5x + (3)

= -4x + 3

Unit 2 Review
1. Natalie drove to her parents' house which is 252 miles away. It took her 4.5 hours. What was her
unit rate of speed?
A. 62 miles per hour
B. 58 miles per hour
C. 56 miles per hour
D. 55 miles per hour

Answers

C. 56 MPH trust me :)

1. If 18 zombies eat 45 brains, then how many brains will 4 zombies eat?
brains
0
2. A machine can make 246 bolts in 6 minutes. If you run the machine for 33
minutes, how many bolts can it make?
T
14-
ol
C
3. You can buy 78 paper clips for a dollar. How much would it cost to buy 351
paper clips
9
8
4. A math teacher can make 45 students cry in 180 days. At this rate, how days
would it take to make 50 students cry?

Answers

What??? what is this?

Answer:

1. 180 brains

Step-by-step explanation:

1/2r + 2 (3/4r - 1) = 1/4r + 6

Answers

Answer:

r=32/7

Step-by-step explanation:

Let's solve your equation step-by-step.

Step 1: Simplify both sides of the equation.

1/2r + 2 (3/4r - 1) = 1/4r + 6

Step 1: Simplify both sides of the equation.

1/2r + 2 (3/4r - 1) = 1/4r + 6

1/2r+(2)(3/4r)+(2)(-1)=1/4r+6(Distribute)

1/2r+3/2r+-2=1/4r+6

(1/2r+3/2r)+(-2)=1/4r+6(Combine Like Terms)

2r+-2=1/4r+6

2r-2=1/4r+6

Step 2: Subtract 1/4r from both sides.

2r-2-1/4r=14r+6-14r

7/4r-2=6

Step 3: Add 2 to both sides.

7/4r-2+2=6+2

7/4r=8

Step 4: Multiply both sides by 4/7.

(4/7)*(7/4r)=(4/7)*(8)

r=32/7

Answer: r=32/7

hope this helps :)

I need help with this
(This is 8th grade math btw)

Answers

Answer:

Just do 12x+7 and 5x-1 divide that answer by 57 that seems easy and i am in 6th grade

Step-by-step explanation:

if this is not right i dont know what is

Answer:

Angle WST = 91°

Step-by-step explanation:

The first step in this situation is to find Angle TSU. Then find x, which is 7, which can be put into the equation shown for Angle WST.

Frank reverses The older pairs show the height and ages of the same six tenants is age of function or high explain

Answers

Did it come with a pic

7(y-2)=7y-14 I’m kinda confused

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

Equation:

7(y-2)= 7y - 14

1. Simplify each side

7y - 14 = 7y - 14

Infinitely many solutions

Laura has 30 cupcakes she wants to give each friend 1/6 of her cupcakes how many cupcakes will Each friend get

Answers

Answer:

5 cupcakes

Step-by-step explanation:

=1x 30/ 6

=5

I hope it helps

Thank U

Answer:

No Of cup cakes laura has : 30

No of c Cupcakes She wants to give her friends:1/6

Cupcakes each friend got : 30 × 1/6

: 5

There fore Number of cupcakes each friend gets: 5 Cupcakes

I need help ASAP !!!!!

Answers

Answer:

a is 12, p is 9.

Step-by-step explanation:

No matter what letters or numbers you use you have to come out with the exact number that sums up with the queston provided which means you have to come out with the sum 21 either way, no matter what letters, numbers youu use.

Facts:

a worker uses 450 inches of steel wire to make 300 springs of the same size. at this rate how many inches of steel wire are needed to make 1 spring?

Answers

Answer:

D

Step-by-step explanation:

You divide the 450 inches of steel by the 300 springs to get 1.5 or 1 1/2

a trick to have a better idea is that if the number that is being divided is larger than the number you are dividing by, the answer will always be greater than one.

My sister gave me $12 for my birthday. I now have 3 times as much as I did before. How much money did I have originally?

Answers

Answer:

36 is the answer

7w+7=-4+4w+23 what is this?

Answers

Answer: 7w+7=-4+4w+23 = W = 4

First you have to simplify the equations

7w+7= (4w) + (-4+23) 7w+7= 4w+19

Than you have to subtract the 4w (both equation)

7w+7-4w =4w = 4w + 19 - 4w = 3w+7= 19

And than you have to subtract the sevens

3w+7-7=19-7=3w=12

than divide by 3

3w/3 equals 12/3w=4

find two consecutive numbers so that 3 times the smaller number is 43 more than 2 times the large number

Answers

Answer:

24 AND 48

Step-by-step explanation:

Nes and m are intersected by transversal t. ∥ m. Lines l and m are horizontal with l above m and intersected by transveral t. Angles 1, 2, 3, and 4 are formed where t intersects l with 1 and 3 above l from left to right and 2 and 4 below it. Angles 5, 6, 7, and 8 are formed where t intersects m with angles 5 and 7 above line m from left to right and 6 and 8 below it. Select all the angles that are supplementary to ∠4.

Answers

Answer:

The supplementary angles to ∠4 are;

∠3, ∠2, ∠7, ∠6, and ∠5

Step-by-step explanation:

The given information are;

The angular orientation of lines l and m = horizontal lines

Therefore l and m are parallel lines

The transversal line to lines l and m = Line t

Therefore, we have;

Angles between line t and line l = 1, 2, 3, and 4

The order of arrangement of the angles between line t and line l are from top left in a clockwise order;

1, 3, 4, and 2

Similarly, the order of arrangement of the the angles between the transversal t and the line m are from top left in a clockwise order;

5, 7, 8, and 6

Therefore, we have;

The supplementary angles to ∠4 are;

∠3, ∠2, ∠7, ∠6, and ∠5

∠3 and ∠4, ∠4, and ∠2,  angles on a straight line between lines l and t

∠4 and ∠7 are opposite interior angles (Opposite interior angles are supplementary)

∠7 ≅ ∠6, ∠7 and ∠6 are alternate angles (

∠7 = ∠6 Definition of congruency

∴ ∠4 and ∠6 are supplementary (Transitive property)

∠4 and ∠5 are alternate interior angles (Alternate interior angles are supplementary).

What is y +3 = 7(2 – 2) written in standard form?
Choose 1 answer: :
А)
-7x +y = -5
B
y=73 – 5
С
y = 7x – 17
– 7x + y = -17

Answers

Answer:

C)

Step-by-step explanation:

y+3=7x+7•−2

Multiply 7 by −2.

y+3=7x−14

Rewrite the equation with the sides flipped.

7

x

14

=

y

+

3

How many 1/3 inch pieces can be cut from 7/15 of an inch long

Answers

Answer:

1.4

Step-by-step explanation:

What is the slope of the line shown?

Answers

Answer:
Slope = rise/run = 3/2

Answer:

3

Step-by-step explanation:

Subtract the two points on the graph, i did (2,-6) and (4,0), you then get 6/2, simplify that and you get 3

y=3x y=18 solve for x

Answers

Answer:

6=x

Step-by-step explanation:

y= 18; y= 3x

18=3x

18/3 = 3x/3

6=x

Hope this helps!

X=6 because if you are trying to get the answer to 18 then you would do 18=3x and 18 decided by 3 is 6. And 6*3=18

Triangles A B C and X Y Z are shown. Angles B A C and Y X Z are congruent. The lengths of A B and Y X are both 28 centimeters and the lengths of A C and X Z are both 32 centimeters. Point A of triangle A B C pointing to the left. Point X of triangle X Y Z is pointing down. How can ΔABC be mapped to ΔXYZ? First, translate vertex A to vertex . Next, ΔABC to align the sides and angles.

Answers

Answer:

1. x

2. rotate

Answer:

the answer is X, and rotate

Step-by-step explanation:

which function has zeros of -8,1 and 3?

Answers

Answer:

A. y = (x - 3)(x + 8)(x - 1)

Step-by-step explanation:

To find zeros of a polynomial, we set the polynomial equal to zero.

We can eliminate C and D; as we set them equal to 0, we see that a root would be 0 due to x. Since we are not looking for a root of 0, those 2 answer choices are incorrect.

Between A and B, A is correct:

A

0 = (x - 3)(x + 8)(x - 1)

x = -8, 1, 3

B

0 = (x + 1)(x - 8)(x + 3)

x = -3, -1, 8

Answer:

Answer A is the correct one.

Step-by-step explanation:

Which function has zeros of -8,1 and 3?  We convert each of these zeros into factors, as follows:  (x + 8), (x - 1), (x - 3).  Answer A is the correct one.

The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal. What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years?

Answers

Answer:

$80

Step-by-step explanation:

From the question, we are given The simple interest formula as I = Prt,

where l = simple interest on an amount= $40

t= years=5years

at a rate r= 10%

The rate= 10/100= 0.1

Then since we are looking for P, we can make P subject of formula from this expression;

I = Prt

P=I/rt

P= 40/(0.1 ×5)

P= 40/0.5

P= 80

therefore, the amount of money p that is needed is $80

Answer:

the answer would be $80. :)

Step-by-step explanation:

Lila thought of a whole number and added the next whole number to it. What was the original number she thought of if the sum was 22?

Answers

Answer:

10

Step-by-step explanation:

Let the original whole number be x and the next whole number be x+2

If Lila added both number and the sum was 22, then:

x + (x+2) = 22

x+x+2 = 22

2x +2 = 22

2x = 22-2

2x = 20

divide both sides by 2

2x/2 = 20/2

x = 10

Hence the original number she thought of was 10

Would you rather discover alien life or an animal that was thought to be extinct?

Answers

[tex]\boxed{I\; would\; say\; an\; animal\; that\; was\; thought\; to\; be\; extinct.}[/tex]    

≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈

The reason i say this is because i don't really want to run into something that i don't know much about. I do know quite a bit about extinct animals more than i do aliens. So, that's my reasoning.

≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈≈

[tex]\boxed{Hope\;i\;helped!}\\\\\boxed{Thanks,\;AnimeBrainly}[/tex]

Needing a answer ASAP! TYYY

Answers

Answer: 840 feet squared

Step-by-step explanation:  24ft * 35ft = 840

840 is the answer
(Hope it helps)

Two angles are supplementary. One angle measures 26° Find the measure of the other angle.

Answers

Supplementary means it has to equal 180 all together so 180-26=154.
The other angle is 154 degrees
When an angle is supplementary, it means that they combine to 180 degrees. If you know that and the angle measure of the other angle, you can set up the equation 180=angle1+angle2. For this problem, the equation would be 180=26+angle2. Subtract 26 from both sides, and you get that the second angle is 154 degrees.
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