Mathematics High School

Find the measure of the exterior angle in the following triangle. DUE SOON PLZ HELP WITH STEP BY STEP

Find The Measure Of The Exterior Angle In The Following Triangle. DUE SOON PLZ HELP WITH STEP BY STEP

Answers

Answer 1

Answer:

The measure of an exterior angle = 125°

Hence, option A is correct.

Step-by-step explanation:

As the given triangle is a right-angled triangle ΔABC.

Given the angles

m∠A = 35°m∠C = 90°

We know that the sum of angles in a triangle is 180°.

Thus,

m∠A + m∠B + m∠C = 180°

substituting m∠A = 35° and m∠C = 90° in the equation

35° + m∠B + 90° =  180°

125 + m∠B = 180°

subtract 125 from both sides

125 + m∠B - 125 = 180° - 125

m∠B = 55°

Thus, the measure of angle B is:

m∠B = 55°

As the exterior angle of the given triangle is adjacent to m∠B = 55°.

We know that the exterior angle of a triangle is equal to the sum of two opposite interior angles.

Here,

∠A and ∠C are two opposite interior angles of the exterior angle.

Thus,

The measure of an exterior angle is equal to the sum of two opposite interior angles.

as

m∠A = 35°m∠C = 90°

so

Exterior angle = m∠A + m∠C

                        = 35° + 90°

                        = 125°

Thus, the measure of an exterior angle = 125°

Hence, option A is correct.

Related Questions

Pls help math!!!!!!!

Answers

the answer should be “C” or your third option! :)

ABCDEFGHIJKLMNOPQRSTUVWXYZ HELP

Answers

Answer: I'm stuck between C or D

Step-by-step explanation:

I think the answer would be C because 9(5+x) could be the same as 9*5+9*x but i also be D

An antibiotic is introduced into a colony of 12,000 bacteria during a laboratory
experiment. The colony is decreasing by 15.3% per minute. Which function can be used
to model the number of bacteria in the colony after x minutes?

Answers

Answer: u tell me ...boi

Step-by-step explanation          yeeyee

Evaluate 3x + 5 when x = 8

Answers

Answer:

29

Step-by-step explanation:

3x8 = 24 + 5 is 29

Substitute the value of the variable into the equation and simplify

Answer: 29

Can anyone help me with this question please .

Answers

carrots are a dark blue and taste like foot

Answer: y=-(5/4)x+5

Step-by-step explanation:

The parent function of a linear line is y=mx+b where m is the slope and b is the y intercept so:

Y=-(5/4)x+5

What is the answer to X and Y?

Answers

4+5x3 because if not you are going to have a zero in class

I need help with this​

Answers

Answer:

6 1/5 = 31/5 and 2 3/4 = 11/4 as improper fractions, hope this helps!

Step-by-step explanation:

Answer:

6 1/5 = 31/5

2 3/4 = 11/4

Step-by-step explanation:

6 1/5 = 31/5

2 3/4 = 11/4

Please help please!!

Answers

The answer is 15 which is letter D
The answer is D. Which is 15

what is the value of power 0f a if a in 5 ^ a = 1 over 125​

Answers

Answer:

㏑(5a)=㏑(1)

Expand ㏑(5a) by moving a outside the logarithm.

.................................

a㏑(5)=㏑(1)

a=0/㏑(5) => a=0

Step-by-step explanation:

please help i really need help
thanks

Answers

Answer:

B. 31.62

Step-by-step explanation:

First, find the distance of the line using the distance formula, [tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1} )^2 }[/tex]. Plug the two points (-1,0) and (5,2) into the formula and solve. This gives you 6.32, then this is only one line of a pentagon, which has 5 sides, so you need to multiply. Since you are finding the perimeter, which is all of the sides added together, multiply the one side by 5. 6.32*5=31.62.

Mary Beth needs a 90% on her final exam to get an A for the quarter. The exam has 80 questions. How many questions does Mary need to answer correctly in order for her to get an A?

Answers

Answer: 72

Step-by-step explanation:

From the question, we are informed that Mary Beth needs a 90% on her final exam to get an A for the quarter and that the exam has 80 questions.

The number of questions does that Mary need to answer correctly in order for her to get an A would be 90% of 80. This will be:

= 90% × 80

= 90/100 × 80

= 72

She must get 72 to get a A.

a) Solve 3(x – 5) = 18

Answers

the answer is x=11
step by step explanation:

Answer:

x = 11

Step-by-step explanation:

3(x-5) = 18

Step one: Distrubute 3 to the numbers in the parenthesis.

3x - 15 = 18

Step two: Add 15 on both sides

3x = 33

Step three: Divide by 3 on both sides

x = 11

PLZ HELP PLZ I NEED IT QUICKLY

Answers

The answer is 31 degrees

Factor 28+56t+28w, to identify the equivalent expressions.

Answers

Answer:

28(1 + 2t +w)

Step-by-step explanation:

28 + 56t + 28w.

Factor out a 28 from the expression.

28(1 + 2t + w)

Which number would make this number sentence true? (3 + 2) x ? = 5 x 8

Answers

Answer:

8

Step-by-step explanation:

3+2=5

5 x 8 = 5 x 8

Answer:

8

Step-by-step explanation:

2 numbers are in perenticies so do them first 3+2 = 5 Then wait dont do nothing with that do 5x8 to get what to need to get 5 x? to witch is

40 so 8 would be the correct answer

-3x + 2y = 8
Help pleases and thank you ...

Answers

Second one. The points should be at (-4,5) and the slope should be 3/2

Explain how you know these two figures are similar

Answers

Answer:

Firstly, we know that both are parallelograms, if you rotate a little, and both have the same angles in the parallelogram.

they have 2 pairs of the same angles, so they’re similar

NEED HELP ASAP ILL GIVE BRAINLIST RN

For ΔABC, the measure in degrees of angles A, B, and C are 36, 3x, and 48 respectively. What is the value of x?
A
2

B
32

C
93

D
96

Answers

Answer:

B. 32

Step-by-step explanation:

[tex]\angle A + \angle B + \angle C = 180\\36 + 3x + 48 = 180 => 3x = 96 => x = 32[/tex]

Answer:

bgbgbgbgbgbgbgbgbgbgbgbgbgbgbgbgbgbgbgbgbgbgbgbgbg

Step-by-step explanation:

A coastal geologist estimates that a certain country's beaches are
eroding at a rate of 1.5 feet per year. According to the geologist's estimate,
how long will it take, in years, for the country's beaches to erode by 21 feet?
A. 14 years
B. 31.5 years
C. 28 years
D. 16 years​

Answers

21/1.5=14

14 years to erode

PLZ HELP I don't get this y-5=1/3(x+12)

Answers

Answer:

If solving for slope

y = 1 /3 x + 9

for slope would be y=1/3x+9

standard form

-3 time 2 time A +5(-7b)+(12 time c time 4)

Answers

Answer:

-6A - 35b + 48c

hope it's helpful ❤❤❤❤❤❤❤

:)

THANK YOU.

Jerome deposits $3,700 in a certificate of deposit that pays 1.8% interest, compounded
annually. How much interest does Jerome earn in 1 year?

Answers

Answer:

$66.60

Step-by-step explanation:

Find out how much money Jerome earns from the 1.8% interest.

100% = 3700

1% = 3700 ÷ 100 = 37

1.8% = 37 x 1.8 = 66.60

(Final answer)

write 3.25x10^4 as an ordinary number

Answers

Answer:

32,500 is the answer.......

32500 (PLEASE GIVE ME BRAINLIEST IM BEGGING)

What is the volume of the following rectangular prism? Plz help

Answers

theres no image attached

Answer:

The formula for finding the volume of a rectangular prism is the following: Volume = Length * Height *

Step-by-step explanation:

A person Rents a canoe for 4 Hours and paid a total of $36. of Renting a canoe costs am initial fee of the $2 Plus an additional amount for each hour the canoe is rented,which graph represents the total cost,y, in dollars of renting a canoe for x hours

Answers

Answer:

Additional fee or hour = $8.5

y = $2 + 8.5x

Step-by-step explanation:

Given that :

Total paid = $36

Number of hours = 4

Initial rental fee = $2

Additional fee per hour = a

Total amount = initial rental fee + additional fee per hour * number of hours

36 = 2 + 4a

36 - 2 = 4a

34 = 4a

a = 8.5

Hourly fee = $8.5

Therefore, the cost formula

y = initial fee + regular fee * number of hours

y = $2 + 8.5x

What is 3/6 of 734882????????????

Answers

Answer:

367441

Step-by-step explanation:

Answer:

367441

Step-by-step explanation:

Hope this helps! <3

Can someone help me with these problems 5-8 I would appreciate it

Answers

Answer:

5. C

6. sry I dont know!

7. sry i cant help

8. dont know ths one either! so sry!

Step-by-step explanation:

Help me please I don't know how to solve this problem.

Answers

I believe it’s A. 12 buhhtt idddkkk I prolly did it wrong srryyyy. Thts js wht I think

x^(2)-8x+15=0
that is x squared -8x+15=0
this is a algebra 2 problem

Answers

Solution
x = 5
x = 3

How can you use the properties of equality to write equivalent equations?

Answers

If two expressions are equal to each other, and you add the same value to both sides of the equation, the equation will remain equal. When you solve an equation, you find the value of the variable that makes the equation true. In order to solve the equation, you isolate the variable.

a = b and c ≠0, then a c = a c . Another example Consider the equation 12 = 12. Divide both sides by 4.

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