if abc is an isosceles triangle and m∠A=40º,what are possible measures for angles B and C

Answers

Answer 1

Answer:

They could both be 70

Step-by-step explanation:

The reason why is because if you subtract 40 from 180 you get 140 and that can be evenly split in 2 ways by 70.

Answer 2

An isosceles triangle is one with two equal-length sides. The possible measures for ∠B and ∠C are 70°.

What is an isosceles triangle?

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

Since in an isosceles triangle the measure of any two angles is equal to each other. Therefore, assuming that ∠B and ∠C are those equal angles.

Now, given that the measure of ∠A is 40°. Therefore, the sum of the measure of all the angles of the triangle can be written as,

∠A + ∠B + ∠C  = 180°

40° + ∠B + ∠C = 180°

40° + ∠B + ∠B = 180°

2 ∠B = 180° - 40°

2 ∠B = 140°

∠B = 140°/2

∠B = 70°

∠B = ∠C = 70°

Hence, the possible measures for ∠B and ∠C are 70°.

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Related Questions

Write an equation in​ slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(-5,8); y=1/5x-3

Answers

Answer:

y = –5x – 17

Step-by-step explanation:

First, we shall determine the slope of the equation y = 1/5x – 3.

The slope of the equation y = 1/5x – 3 can be obtained by comparing the equation with y = mx + c.

This is illustrated below:

y = 1/5x – 3

y = mx + c

Thus, the slope (m) of equation

y = 1/5x – 3 is 1/5

Next, we shall determine the slope of the line perpendicular to the equation as follow:

For perpendicular lines, their slope (m1 and m2) are related as follow:

m1 × m2 = –1

m1 = 1/5

1/5 × m2 = –1

m2/5 = –1

Cross multiply

m2 = 5 × –1

m2 = –5

Therefore, the slope of the line is –5.

Finally, we shall determine the equation of the line as follow:

Coordinate = (–5, 8)

x1 coordinate = –5

y1 coordinate = 8

Slope (m) = –5

y – y1 = m(x –x1)

y – 8 = –5(x – (–5))

y – 8 = –5(x + 5)

y – 8 = –5x – 25

Rearrange

y = –5x – 25 + 8

y = –5x – 17

Therefore, the equation is y = –5x – 17.

What is the solution of 8 + a = 13? Justify each step. A. The steps are: (1) 8 + a = 13 (2) 8 + 8 + a = 13 + 8 (3) a = 21 The reasons are: (1) original equation (2) Addition Property of Equality (3) Simplify. B. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 (3) a = 13 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify. C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify. D. The steps are: (1) 8 + a = 13 (2) 88+a=138 (3) a = 1.63 The reasons are: (1) original equation (2) Division Property of Equality (3) Simplify.

Answers

Answer:

C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify.

Step-by-step explanation:

8 + a = 13 (original Equation)

Subtract 8 from both sides

8 + a - 8 = 13 - 8 ( subtraction property of equality

a = 5 (Simplify)

The correct answer is option C

C. The steps are: (1) 8 + a = 13 (2) 8 − 8 + a = 13 − 8 (3) a = 5 The reasons are: (1) original equation (2) Subtraction Property of Equality (3) Simplify.

please help! i would appreciate it!

Answers

Answer:

(Answer

Step-by-step explanation:

deleted)

What is the equation of a line through point (-4, 5) that is perpendicular to the line with equation y= -6x+4?
20 POINTS & I WILL GIVE BRAINLIEST

Answers

Answer:

i will help in a bit

Step-by-step explanation:


I need help with 9and 10 pleas

Answers

9 is D
10 is either a or b

Kira is riding her bicycle. She rides at a speed of 8 kilometers per hour for 12.8 kilometers. For how many hours does she
ride?

Answers

Answer:

1.6 hours

Step-by-step explanation:

12.8 divided by 8 = 1.6

when you apply combine like terms to the right side of the equation what do you end up with?

Answers

Looking at the right side, 6x + 7 -5x, when you combine like terms you end up with x+7.

Since the first term and the last term, 6x and -5x are like terms you add them. 6 plus -5 is one. In this case it would be x.(it is not necessary to put 1 in front of the x). And 7 is positive and it is the only term left by itself.

What is the measure of angle x? 62" X​

Answers

Answer:

c

Step-by-step explanation:

62+90=152

180-152=28

the sum of the interior angles must equal 180 degrees

Angle x measures 28°

What is triangle?

A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.

Given,

In the figure, interior angles of triangle measures =

62°, right angle = 90°, x

Sum of interior angles of a triangle = 180°

⇒ 62° + 90° + x = 180°

⇒ 152° + x = 180°

⇒ x = 180° - 152°

⇒ x = 28°

Hence, 28° is the measure of angle x.

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help me ASAP ! Least to greatest -1/4 -2/3 , 1/3 , 2,5

Answers

-2/3, -1/4, 1/3, 2, 5

-2/3, -1/4, 1/3, 2/5

Things to keep in mind

Negatives are always the smallest.

Find a common denominator after sorting negatives and positives.

help me please
Solve for x and y

Answers

Answer:

ouch math keeps getting harder and harder every time!

Step-by-step explanation: sorry ik this aint

wat u looking for

Hmmmmmmmmmmmmmmm?????????

Answers

Answer:whats the question?????

Step-by-step explanation:

the level of detail that an instrument can measure is known as its _____

Answers

Answer:

precision

Step-by-step explanation:

it just is

Please answerrr!!! (don’t answer if you don’t know it) will give brainliest

Answers

UV=24 and XY=15 because the pentagon to the left's side lengths are 3 times as large compared to the one on the right.

Simplify this equation (3√2)²​

Answers

Answer:

18

Step-by-step explanation:

It is 18. You cal simply solve it as it doesn’t have an unknown integer

A number n minus 3 is at least –5.

Answers

Answer:

n-3≥-5

If you need the equation solved...

n-3≥-5

+3 +3

n≥-2

Hope this helped!! Have a great day c:

Someone help please?

Answers

Step-by-step explanation:

If the whole bar is equal to 320 and you are given the numbers and variables, what would the equation be? Well, the line above the bar AND the bar are equal to each other. This means that the ORIGINAL EQUATION WILL BE: 4x + 12x = 320 (this will be your first answer).

Because 12x and 4x are LIKE TERMS, you can simplify them by adding them together like so: 12x + 4x = 16x. Now you can say that 16x is equal to 320 (this is your second answer).

Divide both sides by 16 to get the true value of ONE x. Like so:

16x / 16 = 320 / 16

x = 20 (this is your third answer)

√12
A. 2√5
B. 2√3
Which one? ​

Answers

Answer:

B. [tex]2\sqrt{3}[/tex]

Hope this helps!

Answer:

B.2√3

Explanation:

√2^2×√3

√2^2√3

2√3

Can somebody explain and give examples on questions like

What is divisible by this number ?

Answers

Answer:

more than one digits.

Step-by-step explanation:

There are some simple divisibility rules to check this: A number is divisible by 2 if its last digit is 2, 4, 6, 8 or 0 (the number is then called even) A number is divisible by 3 if its sum of digits is divisible by 3. A number is divisible by 4 if the number consisting of its last two digits is divisible by 4

Rs800 for 3 year at rate of 5 percent p.a

Answers

Answer:

Simple Interest = (Time * Rate * Principal) / 100

=> SI = 3 * 5 * 800 / 100

=> SI = 15 * 8

=> SI = Rs. 150

Hence, her interest after 3 years at a rate of 5 percent = Rs. 150

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

The Duquesne Incline, a cable car railway, rises 400 feet over a horizontal distance of 685 feet on its ascent to an overlook of Pittsburgh, Pennsylvania. What is the slope of the incline?

Answers

Answer: 400/685, which simplifies to 80/137. Decimal is about 0.58.

Step-by-step explanation: To calculate the slope of an incline, all you have to do is put the rise over run. In other words, y/x. In this case, The Duquesne incline rises 400 feet while moving horizontally 685, which gives you both the x and the y.

What is 7(x+4)= -21?

Answers

Answer:

x = -7

Step-by-step explanation:

7x + 28 = -21

7x = -21 -28

7x = -49 /:7

x = -7

What is an equation of the line that passes through the points (3, 8) and (1,0)?

Answers

Answer:

y = 4x - 4

Step-by-step explanation:

first, find the slope:

y2 - y1/ x2 -x1

8 - 0/ 3 - 1 = 4

no plug in your slope and one of the points to find the b:

y = mx+b

0 = 4 (1) + b

b= -4

so

y = 4x - 4

evaluate = (√5+2√6) + (√8-√2√15)​

Answers

Answer: 2√2 + 3√8 = 2√2 + 6√2 = 8√2 , because we simplified √8 = √(4 * 2)

Answer:

[tex]\sqrt{5}+2\sqrt{6} + 2\sqrt{2} - \sqrt{30} \approx 4.5[/tex]

Step-by-step explanation:

[tex](\sqrt{5}+2\sqrt{6} ) + (\sqrt{8} - \sqrt{2} \cdot \sqrt{15} )[/tex]

[tex](\sqrt{5}+2\sqrt{6} ) + (\sqrt{8} - \sqrt{30} )[/tex]

[tex](\sqrt{5}+2\sqrt{6} ) + (2\sqrt{2} - \sqrt{30} )[/tex]

[tex]\sqrt{5}+2\sqrt{6} + 2\sqrt{2} - \sqrt{30} \approx 4.5[/tex]

Ignore a and b but can you help with c and d? Plz I’ll mark you as a brainiest

Answers

120+2x+20=180
140+2x=180
2x=40
x=20

C: 2x+20=60

2x=40

x=20

D: 3x+10=100

3x=90

x=30

Is Mr. Martin a hero? xplain why or why not.

Answers

What do you mean show a picture of the question so i can help you

Answer:

mr martin was a hero in my eyes he saved many lives and was one of the strongest people to ever live (who is mr martin?)

Step-by-step explanation:

1.What is the standard form of a linear equation?

A.x+y=0

B.y= MX+b

C. m=rise/run

D. ax +By=C

2.Which term could be used to describe the graph of a line on a coordinate plane?

A. independent variable

B. test points

C. set of all solutions

D. dependent variable

3.Explain whether the points (−13,4), (−7,3), (−1,2), (5,1), (11,0), (17,−1) represent the set of all the solutions for the equation y=−1/6x+11/6.

A.Yes, because all the solutions of y=−1/6x+11/6 need to be integer values for x and y.

B.No, because the point (17,−1) is not on the line that represents the equation y=−1/6x+11/6.

C.No, because the set of all solutions of y=−1/6x+11/6 is represented by the line of the equation.

D. Yes, because all of the points that are listed are on the line y=−1/6x+11/6.

Answer them all in one answer please and thank you.

Answers

Answer:

1. D

sorry I know only first one

8. PLS ANSWER!!!!
and show work

Answers

Answer:

The equation of the parallel line is y = 5x + 11

Step-by-step explanation:

→ Parallel lines have same slopes and different y-intercepts

→ The slope-intercept form of the linear equation is y = m x + b, where

m is the slopeb is the y-intercept

In our question

∵ The equation of the given line is y = 5x + 2

→ Compare it with the form above to find its slope

m = 5

∵ The two lines are parallel

∴ Their slopes are equal

The slope of the parallel line is 5

→ Substitute it in the form of the equation above

y = 5x + b

→ To find the value of b substitute x and y in the equation by the

   coordinates of any point on the line

∵ The line passes through point (-2, 1)

x = -2 and y = 1

∵ 1 = 5(-2) + b

∴ 1 = -10 + b

→ Add 10 to both sides

∴ 1 + 10 = -10 + 10 + b

11 = b

→ Substitute value of b in the equation

∴ y = 5x + 11

The equation of the parallel line is y = 5x + 11

simplify the following​

Answers

Answer:

D. 64 z^ 2

Step-by-step explanation:

Simplify the expression.

Solve the inequality below.

4(x + 3) < 6x – 2

Answers

Answer:

X > 7

Step-by-step explanation:

4(x + 3) < 6x – 2

4x + 12 < 6x -2

-6x            -6x

-2x + 12 < -2

-12           -12

-2x < -14

-----     -----

-2         -2

x > 7

The < change because it was divided by a negative number

Which shows how to solve the equation 3/4x = -6 for x in one step?

Answers

Answer:

The first option 3/4(4/3)x=-6(4/3)

Step-by-step explanation:

Divide by 3/4 (so multiply 3/4 by 4/3) to cancel out the 3/4 so that only x is on that side.

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