1. If Two Angles Of A Triangle Are Equal And The Third Angle Measures 110, Then Find The Measure Of Each (2024)

Mathematics High School

Answers

Answer 1

Answer:

35

Step-by-step explanation:

There are 3 angles in a triangle

∠1 , ∠2 , ∠3

Of which

∠1 = ∠2

∠3 = 110

By angle sum property

∠1 + ∠2 + ∠3 = 180

∠1 + ∠2 = 180-110

∠1 + ∠2 = 70

∠1 = 70 ÷ 2

=35

∠1 = ∠2 = 35

Hence , 35+35+110 = 180

Answer 2

Answer:

35°, 35°, 110°

Step-by-step explanation:

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

let the equal angles be x , then

x + x + 110 = 180 , that is

2x + 110 = 180 ( subtract 110 from both sides )

2x = 70 ( divide both sides by 2 )

x = 35

the measure of each angle is 35° , 35° , 110°

Related Questions


A hummingbird lives in a nest that is 8 meters high in a tree. The hummingbird flies 10 meters to
get from its nest to a flower on the ground. How far is the flower from the base of the tree?

Answers

A hummingbird lives in a nest that is 8 m high in a tree. The hummingbird flies 10 m to

1.) Simplify the expression by combining like
terms: a + 2a - 3a.

Answers

Answer: 0

Step-by-step explanation:

We can start by factoring out an a from all 3 terms:

= a (1 + 2 - 3)

We can evaluate 1 + 2 - 3 as 0:

= a(0)

Anything multiplied by 0 is 0, therefore 0a = 0.

I need help with these equations as well

Answers

Answer:

0=10

0= -5

Step-by-step explanation:

[tex]1. - 10 = - 14x + 14x[/tex]

cancel (-14) with (+14)

[tex] - 10 = 0[/tex]

so , The above equation has no solution .

-----------------------------------

[tex](ii) \: 3(3 - x) + 5x = 2(x + 2) \\ \\ 9 - 3x + 5x = 2x + 4 \\ \\ 9 + 2x = 2x + 4 \\ \\ 2x - 2x = 4 - 9 \\ \\ 0 = - 5.[/tex]

The above equation has no solution .

What is the solution to the equation?
x^2=40

Will give brainliest if correct and explained!!

Answers

Answer: 2√10

Step-by-step explanation:

A way we can find what x equals, is to find the opposite of what ever sign is on a side, in the equation x^2=40, the opposite of squaring is to find the square root of it.

It is important that what you do to one side, you do to the other.

So we have to square root both sides so we can get rid of the ^2 on x to get x =. This would look like √x^2 = √40

The square root of x^2 would revert back to just x

To find the square root of 40, its important to first see if its a perfect square. In this scenario, it isnt. Because it isnt, we have to find the closest perfect square that we can multiply to get 40, in this equation, the closest would be 4 so we do 4*10.

Then we reduce the 4 by square root and we get 2

Then we cant do anything else with the 10, so we would right the answer as a radical, with the square root you got from the perfect square on the outside and the remainder on the inside of the square root, like x√r where x is the number obtained from square root and r is the remainder that we cant do anything else with.

After doing this, we get the answer 2√10, which can be said "two radical ten"

PLEASE HELP THIS IS MY 3RD TIME ASKING THIS I WILL GIVE BRAINLIEST PLEASE I REALLY NEED HELP
Which statements describe how the British controlled their colonies? Choose four correct answers.

A:After the Boer War, the Boers ruled themselves in South Africa.
B:Wars affected the ways Britain ruled its colonies.
C:Britain granted equal rights to all Africans.
D:Britain allowed Africans to benefit from their natural resources.
E:An independent South Africa was formed.
F:Britain did not protect the rights of black Africans.

Kevin works two part-time jobs and wants to earn a total of at least $504 per week. He earns an
average of $12 per hour delivering food and $14 per hour working retail
A.) Write the inequality representing the scenario
B.) Graph the inequality

Answers

Kevin earning at least $504 implies that he wants to earn $504 or more

The inequality representing the scenario is [tex]12x + 14y \ge 504[/tex]

How to interpret the scenario?

The given parameters are:

Earnings = At least $504

Food delivering = $12 per hour

Retail = $14 per hour

Represent the number of hours delivering food with x, and the retail work with y.

So, the earning is:

Earning = 12x + 14y

The earning is at least $504.

So, we have:

[tex]12x + 14y \ge 504[/tex]

See attachment for the graph of the inequality

Read more about inequalities at:

https://brainly.com/question/25275758

Write −x^2+2xy−y^2 as the opposite of the square of a binomial.
PLEASE HELP ME PLEASE I WILL GIVE BRAINLYEST

Answers

Answer:

[tex]-(x-y)^2[/tex]

Step-by-step explanation:

Original expression:

[tex]-x^2+2xy-y^2[/tex]

Factor out -1:

[tex]\implies -(x^2-2xy+y^2)[/tex]

Factor [tex]x^2-2xy+y^2[/tex]:

[tex]\implies -(x-y)(x-y)[/tex]

Apply exponent rule [tex]aa=a^2[/tex]:

[tex]\implies -(x-y)^2[/tex]

The ice cream truck has a jar containing a slip of paper for each of the flavors . Shaun chooses three slips of paper without looking . What is the probability that Shaun's triple scoop cone contains two of his five favorite flavors ?

Answers

Answer: 5/31

explanation: there are 31 flavors in all. 5 are his favorite. Therefore, the answer is 5/31

It is -12. 5°c outside when the temp starts increasing by 2. 5°c each hour. How long will it take for the temp to reach-5°c

Answers

Answer:

3 hours

Step-by-step explanation:

12.5/2.5 = 5
then convert it to negative

The equation for the axis of symmetry is

Answers

Answer:

I believe it is x=−b2a

Step-by-step explanation:

Looked it up

70.4 divided by 11 with work shown

Answers

Answer:

6.4

Step-by-step explanation:

70.4/11
= 6.4
use your calculator

Answer:

6.4

Step-by-step explanation:

66/11=6 4.4/11=0.4

help please i don't Know how to answer this

Answers

Answer:

a line of symmetry is a line divide an object in to two equal parts. answer is A

What is the volume of the figure below if a = 9 units and b = 7 units?

A.
364.5 cubic units
B.
1,296 cubic units
C.
1,012.5 cubic units
D.
760.5 cubic units

Answers

Answer: C

Step-by-step explanation:

Name two triangles that are congruent by ASA.​

Answers

Step-by-step explanation:

The Angle-Side-Angle Postulate (ASA) states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.Jan 21, 2020

What decimal best represents 1/4

Answers

Answer:

.25

Step-by-step explanation:

.25 or 1/4 is one-fourth of 1

You can divide 1 by 4 to get .25

Hurry please!
Find the slope
A. -3/5
B. 3/5
C. -5/3
D. 5/3

Answers

Answer:

[tex]\frac{5}{3}[/tex] should be correct!

Step-by-step explanation:

slope = rise/run

Based on the graph, the line is going up (positive direction) 5 units and to the right 3 units.

Therefore, the slope would be 5/3.

One of the legs of a right triangle measures 19 cm and its hypotenuse measures 13 cm, Find the measure of the other leg. If necessary, round to the nearest tenth.​

Answers

not possible, the hypotenuse must be the longest side of a right triangle

What is the total cost of a $19. 98 item plus 7 percent sales tax

Answers

Answer:

Sales tax: $1.40

Step-by-step explanation:

did it on edge

In an election between two candidates, the winner received 65% of the 15,000 votes. The loser received the remaining votes. How many more votes did the winner receive than the loser?

Answers

Answer:The winner recieved 4,500 more votes than the loser

Step-by-step explanation:

Answer:

5,250

Step-by-step explanation:

The first step is to set up a porportion like this one

[tex]\frac{?}{15,000} \frac{65}{100}[/tex]

Next, you cross multiply and divide. 15,000 times 65 is 975,000

Then divide this by 100 which is 9750. This is the number of votes the winning candidate received. Subtract this number from 15,000 to get 5,250. Hope this helps!

Adult tickets to a basketball game cost $5. Student tickets cost $1. A total of $2,596 was collected on the sale of 1,216 tickets. How many of each type of ticket were sold?

Answers

Step-by-step explanation:

Suppose adult tickets are x ticket

Student tickets are 1216 - x ticket

x(5) + (1216 - x)(1) = 2596

5x + 1216 - x = 2596

4x = 2596 - 1216

4x = 1380

x = 345

Adult tickets have 345 tickets

and student tickets have 1216 - 345 = 871 tickets.

What factor could you pull out of 10x AND 5?

2

x

10

5
WILL GIVE BRAINLY

Answers

Hi! I hope you're enjoying your day!

The common factor of 10x and 5 is

5.

What is a factor?

It's a number that a number is evenly divisible by.

Example: 2 is a factor of 10, because 10 is evenly divisible by 2.

Also, it may be tempting to say, "Well, 2 is the common factor!"

And that's not true in this case, because 5 isn't divisible by 2.

x is also not a common factor; 5 is a constant, it doesn't have any variables next to it.

Hence, the factor is

[tex]\boxed{\boxed{\bold{5}}}[/tex]

Hope everything is clear.

If you have any questions, please comment.

#LearningIsFun

What does this equal to?

Answers

X=5/4 or 1.25
Y= 15/16 or 0.9375

x=5/4 and y=15/16

hopefully this will help with your questions

15 POINTS PLEASE HELPP
[0,2]
[2,6]
[6,10]

Answers

On the bottom line in the positive area your gonna but a dot at the 2

I NEED HELP! I WILL GIVE BRAINLIEST

Answers

Answer:

As time increases, grams decrease

To describe the relationship between the two quantities, we first have to identify what those two quantities are.

Well, it says it right on the graph.

Our two quantities are time (the x value) and grams (the y value)

So, what is the relationship between the two quantities?

Well, let's first look at what each one is doing.

Well, time is increasing

Grams, however, are decreasing

So, the relationship is as follows:

As time increases, grams decrease

6 of 10
© Decrease 20g by 25%
g.

Answers

Answer:

15g

Step-by-step explanation:

Method A: Calculate the percent first

If you decrease an amount by 25%, you end up with 75% of the amount.

75% of 20g = 0.75 × 20g = 15g

Method B: Calculate the decrease first

We start with 20g. To decrease 20g by 25%, we calculate 25% of 20g.

25% of 20g = 0.25 × 20g = 5g

The decrease amount is 5g.

Now we subtract 5g from 20g.

20g - 5g = 15g

Point B has coordinates ​(5​,2​). The​ x-coordinate of point A is 1. The distance between point A and point B is 5 units. What are the possible coordinates of point​ A?

Answers

Given - two points A( 1 , y ) and B( 5 , 2) ; Distance between A and B = 5 units

To find - possible coordinates of A

Using Distance formula ,

[tex]\bold{d(AB) = \sqrt{ (x_{2} - x_{1}) {}^{2} + ( y_{2} - y_{1}) {}^{2} } }\\ \\\bold{5 = \sqrt{(5 - 1) {}^{2} + (2 - y) {}^{2} }} \\ \\\bold\blue{ squaring \: both \: sides\:,} \\ \\\bold{ 25 = (5 - 1) {}^{2} + (2 - y) {}^{2} }\\ \\\bold{ 25 = (4) {}^{2} + (4 + y {}^{2} - 4y)}\\ \\ \bold{25 = 16 + y {}^{2} - 4y + 4}\\ \\ \bold{25 = y {}^{2} - 4y + 20}\\ \\\bold{ y {}^{2} - 4y - 5 = 0}\\ \\\bold{ y {}^{2} - 5y + y - 5 = 0} \\\\\bold{ y(y - 5) + 1(y - 5) = 0}\\ \\\bold{ (y + 1)(y - 5) = 0 }\\\\\bold{ y = - 1 \: or \: y = + 5}[/tex]

therefore ,

possible coordinates of A are either ( 1 , -1 ) or ( 1 , 5 )

hope helpful~

5 3/4- 2 1/4 as a fraction please help my maths go work is due tomorrow

Answers

Answer:14/4

Step-by-step explanation:5 3/4 - 2 1/4 = 3 2/4 = 14/4

Need help solving this problem

Answers

The answer is 8.2 because when you add all sides that is what it said

Answer:41°

Step-by-step explanation:

Decide which of the following is a reasonable answer for 3/7 x 8

Answers

Answer:

the answer is 3 3/7 or 24/7

3 more than the product of 3 and y

Answers

Answer:

3y+3

Step-by-step explanation:

pls give brainly

1. If Two Angles Of A Triangle Are Equal And The Third Angle Measures 110, Then Find The Measure Of Each (2024)

FAQs

What type of triangle whose one angle measures 110? ›

Since 110∘ is an obtuse angle, the triangle is obtuse.

What is the measure of each angle if it measures 110 less than the measure of its supplementary angle? ›

So, measure of supplementary angles are 35° and 145°.

When two angles of a triangle are the same, the third angle will be? ›

As the two corresponding angles are known to be equal, the third angle will also be equal to its corresponding angle, and thus, the side gets included, making it same as ASA congruency.

What triangle has 110 degrees? ›

If one angle of a triangle is 110 deg and the other two angles are both 35 deg, then the figure is an obtuse isosceles triangle.

Which angle measures about 110? ›

If an angle measures 110 degrees, then it is obtuse.

How to find angle of triangle with 2 angles given? ›

Step 1: Identify the two given angles of our triangle. Step 2: Sum these angles, and subtract them from to get our third angle.

How to find the 3rd side of a triangle if 2 sides are given? ›

When given the lengths of two sides of a right triangle, we find the length of the third side of the triangle using the Pythagorean Theorem. To do this, We plug the known side lengths into the Pythagorean equation, a2 + b2 = c2, appropriately, and then we solve for the remaining variable.

What is the measure of the third angle of the triangle? ›

Use the triangle sum theorem to prove the third angle theorem. For example, two triangles each have angles measuring 45 and 71. To find the measure of the third angle, subtract: 180 - 45 - 71 = 64. This calculation works for both triangles.

What is the measure of an angle if it is 110 less than 3 times its own complement? ›

What is the measure of an angle if it is 110 less than three times its own complement? The complement of an angle is 90 degrees minus the angle. The answer is the solution to equation in above line. the answer to the original question is that the measure of the angle is 40 degrees.

What is an angle if and only if its measure is less than 90? ›

Acute angles measure less than 90 degrees. Right angles measure 90 degrees. Obtuse angles measure more than 90 degrees.

What if two angles in a triangle are equal? ›

If two angles of a triangle are equal, the third angle is also equal to each of the other two angles.

What is it called when two angles are the same in a triangle? ›

An isosceles triangle therefore has both two equal sides and two equal angles.

When the sum of two angles is equal to the third angle? ›

Step by step video & image solution for Show that if sum of the two angles of a triangle is equal to the third angle then the triangle is right angled triangle.

What type of triangle is a 30 40 110? ›

Answer: A triangle with angles 110, 30, and 40 degrees is isosceles.

Can an isosceles triangle have one of its angles equal to 110? ›

An isosceles triangle always has two equal angles. As there cannot be another 110° (the triangle cannot have over 180° total), the other two angles must equal eachother. 180° - 110° = 70°. 70° represents the other two angles, so it needs to be divided in 2 to get the answer of 35°.

Is 110 an acute angle? ›

What is the Difference Between Acute and Obtuse Angles? Obtuse angles measure more than 90° (but less than 180°), and acute angles measure less than 90°. For example, 110° is an obtuse angle and 50° is an acute angle.

What is 110 supplementary angle? ›

x = 180 - 110 = 70.

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