If all three angles of a triangle are congruent, what is each angle measure?

Answers

Answer 1

Answer:

60°

Step-by-step explanation:

180° in a triangle.

180° ÷ 3 = 60°

Answer 2

The measure of each of the given angles of a triangle is 60°.

What are congruent triangles?If two triangles have the same size and shape they are called congruent triangles. If we flip, turn or rotate one of two congruent triangles they are still congruent. If the sides of two triangles are the same then the triangles must have the same angles and therefore must be congruent.

Given is that all three angles of a triangle are congruent.

Consider a triangle ΔABC. Since the angles of the triangle are congruent, we can say that -

∠A = ∠B = ∠C = X°

and also we can write -

X° + X° + X° = 180°

3X° = 180°

X° = 60°

Therefore, the measure of each of the given angles of a triangle is 60°.

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Related Questions

Find the solution(s) for x in the equation below.
x2 – 25 = 0

Answers

Answer:

x=5,-5

Step-by-step explanation:

23. What lines intersect to form the circumcenter of a triangle?
angle bisectors
midsegments
altitudes
perpendicular bisectors

Answers

Answer:

  (d)  perpendicular bisectors

Step-by-step explanation:

The circumcenter is the center of the circumcircle of the triangle. Each vertex of the triangle lies on that circle. The sides of the triangle are chords of the circle.

The perpendicular bisector of a chord is a line that intersects the center of the circle containing the chord. Hence, the perpendicular bisectors of the sides of a triangle will intersect the circumcenter.

What is (0,1) and (4,2) in slope intercept form

Answers

Answer:

y = 0.25x+1

Step-by-step explanation:

Y= mx+b

m= 0.25

b= 1

hope this helps

write in point slope form an equation of the line that passes through point (6,5) with slope 3

Answers

Answer:

y - 5 = 3(x - 6)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = 3 and (6, 5 ) a point on the line , then

y - 5 = 3(x - 6) ← equation of line

Find the center of the circle that you can circumscribe about DABC.
. A(2, 8), B (0,8), and C (2,2)

Answers

The center of the circle that circumscribe about DABC is [tex](h,k) = (1, 5)[/tex].

A circle can be modelled after a expression of the form:

[tex]A\cdot x + B\cdot y + C =-x^{2}-y^{2}[/tex] (1)

We can determine all coefficients by knowing three distinct points on plane.

If we know that [tex](x_{1}, y_{1}) = (2, 8)[/tex], [tex](x_{2}, y_{2}) = (0, 8)[/tex] and [tex](x_{3}, y_{3}) = (2, 2)[/tex], then the solution of the system of linear equations is:

[tex]2\cdot A + 8\cdot B + C = -68[/tex] (2)

[tex]8\cdot B + C = -64[/tex] (3)

[tex]2\cdot A + 2\cdot B + C = -8[/tex] (4)

[tex]A = -2, B = -10, C = 16[/tex]

Now we proceed to complete squares and factor each resulting perfect square trinomial in order to determine the coordinates of the center of the circle:

[tex]x^{2}+y^{2}-2\cdot x -10\cdot y +16 = 0[/tex]

[tex](x^{2}-2\cdot x +1)-1+(y^{2}-10\cdot y +25)-25 +16 = 0[/tex]

[tex](x-1)^{2}+(y-5)^{2}= 10[/tex]

The center of the circle that circumscribe about DABC is [tex](h,k) = (1, 5)[/tex].

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There is a row of 15 trees in a garden. Starting from the first tree, a gardener marked every second tree, then, on his way back, he marked the first tree, and then every third tree. How many trees are left without a mark?

Answers

Answer:2

Step-by-step explanation:

15/3 = 5

15/2 = 7.5

+1

= 13

15 - 13 = 2

Answer:  5

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

Explanation:

The gardener starts at the first tree and then marks every second tree. So they'll skip a tree each time.

The set of trees he marks has the labels {1,3,5,7,9,11,13,15}. Basically it's the set of odd whole numbers between 1 and 15. Or you could notice that we add on 2 each time we need another tree to mark.

Then he goes back to the first tree and marks every third tree. So we have this new set: {1,4,7,10,13}. Start at 1 and add 3 each time to generate a new item.

Union the two sets mentioned and you'll get {1,3,4,5,7,9,10,11,13,15}

We see that the following trees aren't marked: {2,6,8,12,14}

There are  5   items in that last set.

Side note: The trees with labels {1,7,13} have been marked twice. There's a gap of 6 units between each adjacent label.

Sarah works for 8 minutes and for every 8 minutes she gains 23 coins everytime she works and she is saving for 2,000 coins in total. How many hours will it take Sarah to get 2,000 coins?

Answers

Answer:

11.59 hours  {Basically 12 hours]

Step-by-step explanation:

Sarah's coin rate is 23 coins/8 minutes, or 2.875 coins/minute

Rate * Time(X) = Coins

(2.875 coins/min)*(X) = 2000 coins

X = (2000 coins)/(2.875 coins/min)

X =  695.65 minutes

(695.65 minutes)*(1 hour/60minutes) = 11.59 hours

-5x-/(3x-7)+4(3x-5)-(6x-9)

Answers

Answer:

-5x / 9x - 18

Step-by-step explanation:

= - 5x- / ( 3x - 7 ) + 4 ( 3x - 5 ) - ( 6x - 9 )

= applying rule : ( a ) = a

then, ( 3x - 7 ) = 3x - 7

= - 5x- / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )

= applying the fraction rule : -a/b = a/b

= 5x / 3x - 7 + 4 ( 3x - 5 ) - ( 6x - 9 )

= -5x / 9x - 8. Answer!

Mark the sums of the integers as either positive or negative.
-8+(-9)
7+(-3)
5+(-12)
-12+15

Answers

negative, positive, negative, positive.

The option A and C are negative. also, option B and D are positive.

What are integers numbers?

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

WE need to write the sums of the integers as either positive or negative.

-8+(-9) = -17

This gives the negative answer.

7+(-3) = 4

This gives the positive answer.

5+(-12) = -7

This gives the negative answer.

-12+15 = 3

This gives the positive answer.

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Kim needs 10 cups of apple juice for a recipe. How many quarts does she need?

Answers

She will need 2.5 quarts.

Kim will need 2.5 quarts.

How to find the quarts she needs?

Given = 10 cups quarter

From the given data = 10/4

⇒ 2.5

The answer is 2.5 quarts.

What does 1 quart equal to in cups?

There are 4 cups in 1 quart. There are 8 cups in 2 quarts. There are 16 cups in 4 quarts.

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Please help what is the answer its a math question find the lcd!!!

Answers

Step-by-step explanation:

sorry I don't now but when I now I will tell you ok but mybe it 12×12×12

Your friend has $100 when he goes to the fair. He spends $10 to enter the fair and $29 on food. Rude lady at the fair cost $2 per rude. Which function can be used to determine how much money he had left over after x rides?

Answers

Answer:

y=-2x-39

Step-by-step explanation:

Answer:

100=39+2x

Step-by-step explanation:

hoped that hedlp:P

LOOKING FOR BRAINIEST?









Photo down below! Will give brainiest to first (and correct) answer!

x = ____
m m m

Answers

Answer:

x = 8

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

13x - 8 + 7x + 4 + 3x = 180 , simplify left side

23x - 4 = 180 ( add 4 to both sides )

23x = 184 ( divide both sides by 23 )

x = 8

Given the function g(x) = –11 + 12x + x over 3, evaluate g(4).

Answers

g(−3)=2

g(0) = 3g(0)=3

Step-by-step explanation:

Given

The attached graph

Required

Determine

g(-3)g(−3)

g(x) = 3g(x)=3

Since a graph has been provided, the question will be solved graphically;

Solving g(-3)

This implies that;

x = -3

And the interpretation is to solve for the y value when x = -3

From the attached graph;

When x = -3; y = 2

Hence;

g(-3) = 2g(−3)=2

Solving g(x) = 3

This implies that;

y = 3

And the interpretation is to solve for the x value when y = 3

From the attached graph;

When y = 3; x = 0

Is 1 a real or an imaginary number?

Answers

Real number, 1 is a real number
1 is a real number for me and my sister


Erin tried to multiply 70 x 30 by decomposing 70 and 30 into multiples of 10. Her work is below.

A-Step 1
B-Step2
C-Step3
D-Step4
E-Erin did not make a mistakes.

Answers

Ok. Problem solved easy!
Answer:










Erin make no mistake

if 6 notebooks cost $15 how much would 1 notebook cost?

Answers

Your answers is 9 brainleist plz

Answer:

well altogether it is 15 then it would be 3 dollars each

Step-by-step explanation:

:)

If sixteen dried beans weigh one ounce, then how many dried beans wiring one pound

Answers

Answer:

96 dried beans will weigh one pound

16 beans in one ounce x 16 ounces in a pound = 256 beans total.


id like some help please!

im confused

Answers

Answer:

Angels D and G

Step-by-step explanation:

Alternate exterior angles are formed by a transversal intersecting two parallel lines . They are located "outside" the two parallel lines but on opposite sides of the transversal, creating two pairs (four total angles) of alternate exterior angles. Although in this case angels D and G dont have opposite angels so in this cade their is only 2 alternate exterior angels.

I hope this helps have a great day and happy holidays  (「•-•)「

Answer:

∠D and ∠G

Step-by-step explanation:

Think about what alternate exterior angles are:

"Alternate" means on either side of each other"Exterior" means outside (the transversal BI).

Putting these two elements together, we can clearly see the alternate exterior angles are ∠D and ∠G.

PLZ HELP!! I will give points!

Answers

Answer:

a is -2,1        b is -3,3        c is -1,3

Step-by-step explanation:

Prove the triangles are similar.

Answers

Answer:

SAS similarity

Step-by-step explanation:

The two triangles MON and MQP are such that

Angle M = Angle M

MO/MQ = MN/MP

Therefore, Triangle MON ~ Triangle MQP (SAS similarity)

Write the equation of the line that passes through the given points.
​(0​,−5​) and ​(9​,−1​)

Answers

Answer:

y=4/9x-5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-1-(-5))/(9-0)

m=(-1+5)/9

m=4/9

y-y1=m(x-x1)

y-(-5)=4/9(x-0)

y+5=4/9(x)

y+5=4/9x

y=4/9x-5

(6, 10)
(a, 8)
(4,5)
(2, 2)
1. Find the slope of the line. Explain or show your reasoning
2. Write an equations for the line.
3. Find the values for a and b. Explain or show your reasoning
4. What is the y-coordinate when x = 0? Explain or show your reasoning.

Answers

1) Slope is 2
2) y=2x-2
3) a=5, b=6 because using the slope(2) you can find these values
4) y coordinate when x = 0 is -2

10. Given m and b, write the equation of the line:

m=-4; b=2

Answers

Answer:

y= -4x + 2

Step-by-step explanation:

Y= mx + b is used to find the equation of the line

m=-4 a d b= 2

So, you put them into the equation.

What is an equivalent expression to 7x - 3y + 8x ?



Pls look at the image that I uploaded

Answers

Answer:

15x - 3y

Explaination:

Adding 7x and 8x will give you 15x and the -3y doesn't need to be added up.

I hope this helps you.

what is the probability of flipping 3 coins on the same side that is getting either all heads or all tails? write the exact decimal answer withput rounding

Answers

There are 8 possible outcomes for tossing three coins. Two of these outcomes are either all heads or all tails, Therefore there is a 28=14=0.25=25% chance of getting all heads or all tails.

A blueprint has a scale of 4 inches = 12 feet. What is the scale factor? A. 1 inch = 3 feet. B. 3 inches = 1 foot. C. 4 inches = 12 feet. D. 1 inch = 4 feet

Answers

write it in web and then u will find the answer in a calculator

The solution is Option A.

The scale factor of the blueprint is given by the equation 1 inch = 3 feet

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A blueprint has a scale of 4 inches = 12 feet

So , the value of equation A is

4 inches = 12 feet

Divide by 4 on both sides of the equation , we get

4 inches / 4 = 12 feet / 4

On simplifying the equation , we get

1 inch = 3 feet

Therefore , the value of A is 1 inch = 3 feet

Hence , the scale factor of the blueprint is 1 inch = 3 feet

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Last week antione had a begging balance of $90 in his account he wrote 3 checks for $10 each from his checking account , withdrew another $20 and finally made a deposit of $100. Write an expression that shows his final account balance at the end of the week

Answers

Answer:

$140

Step-by-step explanation:

90-(3x10)-20+100= 140

He started with $90: (90)

Then he wrote 3 checks of $10 each: -(3x10)

Then he withdrew $20: -20

Finally, he made a deposit of $100: +100

Thus, our equation would be: 90-(3x10)-20+100=

(You might want to simplify this expression; giving you 140)

HELP ASAP 10 POINTS


Which coordinates are the best estimate of the solution to the system of equations?

Hint: Which coordinate is closest to where the lines meet?
Question 4 options:


(6,0)


(0,5)


(1,4)


(1,5)

Answers

Answer:

(1,4)

Step-by-step explanation:

It was either (1,3) or (1,4) but there was no (1,3) so (1,4).

Hopes This Helps :)

Is the following statement true or false? If false, replace the bold word to make the statement
true.
A rhombus is an equiangular quadrilateral

Answers

Answer:

replace rhombus with square, or rectangle

Step-by-step explanation:

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