PLEASE HELP MEEEEEEEE
Determine the internal and external angles of the triangle below​

PLEASE HELP MEEEEEEEEDetermine The Internal And External Angles Of The Triangle Below

Answers

Answer 1

Answer:

The internal angles are 78°, 72°, 30°, and the external angle is 150°

Step-by-step explanation:

In a triangle, the measure of an external angle at one vertex equals the sum of the measures of the opposite internal angles to this vertex

In the given figure

∵ The angle of measure (4x + 22) is an exterior angle

∵ The angles of measures (3x - 18) and (2x + 8) are the opposite

   interior angles

→ By using the rule above

(3x - 18) + (2x + 8) = (4x + 22)

→ Add the like terms in the left side

∵ (3x + 2x) + (-18 + 8) = 4x + 22

∴ 5x + (-10) = 4x + 22

→ Remember (+)(-) = (-)

5x - 10 = 4x + 22

→ Add 10 to both sides

∵ 5x - 10 + 10 = 4x + 22 + 10

∴ 5x = 4x + 32

→ Subtract 4x from both sides

∵ 5x - 4x = 4x - 4x + 32

x = 32

→ Substitute the value of x in the external and internal angles to find them

∵ The external angle = 4(32) + 22 = 128 + 22

The external angle = 150°

∵ One of the internal angle = 3(32) - 18 = 96 - 18

One of the internal angle = 78°

∵ Other internal angle = 2(32) + 8 = 64 + 8

Other internal angle = 72°

→ The sum of the measure of the internal angles of a Δ is 180°

∵ The third internal angle of the triangle = 180° - 78° - 72°

The third internal angle of the triangle = 30°

The internal angles are 78°, 72°, 30°, and the external angle is 150°


Related Questions

The perimeter of an isosceles triangle is 15.6 cm. Find the lengths of its sides, if: The base is 3 cm smaller than a leg.

Answers

Answer:

The sides of the isosceles triangle are 3.2 cm, 6.2 cm and 6.2 cm

Step-by-step explanation:

The sides of an isosceles triangle are equal in length

Let the base be x cm

Since it is 3 cm smaller than a leg, the legs will be (x + 3) cm

To find the perimeter of a triangle, we add up the sides

x + x + 3 + x + 3 = 15.6

3x + 6 = 15.6

3x = 15.6 - 6

3x = 9.6

x = 9.6/3

x = 3.2 cm

So the base is 3 + 3.2 =6.2 cm

Find the equation of the line.
Use exact numbers.

Answers

Answer:

y=3/4x -2

Step-by-step explanation:

I know the last box has a plus sign in front of it but it's still -2 since the y- intercept is at -2. It's the same thing but I just wanted to make sure you knew that in the last box, you still put -2.

Sorry if what I just said above is confusing, i don't know how to explain it better...

Please help if you can Thank you so much!

Answers

Answer:

Answers in explanations, hope they're correct!

Step-by-step explanation:

12. You will be using 0 gallons of gas when traveling 0 miles.

13. 20 gallons

14. (2,6)

15. You will package 15 dozens of cupcakes after 5 hours

Answer:

12: 0 miles uses 0 gallons of gas

13: 20 gallons

14: (1,3)

15: it takes 5 hours to make 15 dozen cupcakes

Step-by-step explanation:

13) 4 gallons for every 100 so multiple by 5 for 500

you are playing a game you lose 4.8 points lose another 7.6 points and then win 2.5 points what is the overall change in your score?​

Answers

Answer:

9.9

Step-by-step explanation:

Fists you have to choose a number, ex. 20. Then subtract 4.8 from 20 equalling 15.2, then subtract 7.2 from 15.2, which equals 7.6, then add 2.5 and get 10.1. When you have that final number you must subtract it from the starting number to find the change, 20 - 10.2 = 9.9

what is the equation of the line?
a. y= -1/2x+1/2
b. y= -2/1x+1
c. y= -1/2x+1
d. y= -2/1x+1/2

Answers

Answer:

A) y = -1/2x + 1/2

Step-by-step explanation:

Find the y-intercept(when x = 0), which is 1/2.

Find the slope: m = y2-y1 / x2-x1

I used points: (3, -1), (-3,2)

m = 2 - (-1) / -3 - 3

m = 3 / - 6

m = -1/2

plug this into the slope intercept form equation: y = mx + b

y = -1/2x + 1/2

The sum of two numbers is 60. The greater number is 6 more than the smaller number. Which equation can be used to solve for the smaller number?
1) x + (x + 6) = 60
2) x- (x + 6) = 60
3) x(x + 6) = 60
04) x(x-6) = 60​

Answers

Answer:

1) x + (x + 6) = 60

Step-by-step explanation:

Let the numbers be x and y

x + y = 60y = x + 6

Then, substituting y:

x + (x + 6) = 60

Correct option is 1)

(b) A solid metal cone has radius 1.65 cm and slant height 4.70 cm.
Calculate the volume of the cone.

Answers

Answer:

13.4

Step-by-step explanation:

πr2h

3

Answer:

12.5

Step-by-step explanation:

use pythag to find perpendicular height

then from that your answer should be 4.40cm

Diego has $12 and begins saving $5 each week toward buying a new phone. At the same time that Diego begins saving, Lin has $84 and begins spending $3 per week on supplies for her art class. Is there a week when they have the same amount of money? How much do they have at that time?
After_______weeks both Diego and Lin will have_____dollars

Answers

Answer:

$72

Step-by-step explanation:

Answer:

After ten weeks both diego and lin will have 57 dollars

Step-by-step explanation:

Which point below is not on the graph
A.)(-13, 7)
B.)(-35, 1)
C.)(11, 5)
D.)(27, 3)

Answers

Answer:

It is B

Step-by-step explanation:

Because their isnt a square root fpr 51

What value should go in the empty box to complete the calculation fro finding the product or of 23.456 * 0.86

Answers

This is what I got hope it helps

fp(x)=x2+2x-5 and g(x)=x-3, what is p(x) - 4(x)?

Answers

Answer:

1

Step-by-step explanation:

It's just 1

prove algebraically that n^2 -n is never an odd number when n>1

Answers

Answer:

See Below.

Step-by-step explanation:

We want to prove that:

[tex]n^2-n[/tex]

Is never an odd number when n>1.

We will have two cases. We can prove them for each case individually.

The Even Case: n is Even:

Let n be even. Then, we can rewrite n as:

[tex]n=2k[/tex]

Where k is any positive integer.

This is because twice of any integer is even, so n must be even.

Substitute this into our expression to acquire:

[tex]=(2k)^2-(2k)[/tex]

Square:

[tex]=4k^2-2k[/tex]

4 times anything is even. 2 times anything is also even. Therefore, our expression will stay even.

The Odd Case: n is Odd:

Let n be odd. Then we can rewrite n as:

[tex]n=2k-1[/tex]

Where k is any positive integer.

This is odd because twice of any number is even, but if subtracted by 1, it yields an odd number.

We will substitute this into our expression to acquire:

[tex]=(2k-1)^2-(2k-1)[/tex]

Square:

[tex]=(4k^2-4k+1)+(-2k+1)[/tex]

Simplify:

[tex]=4k^2-6k+2[/tex]

4 times anything is even. 6 times anything is even. And anything even added to 2 will still be even.

Therefore:

[tex]n^2-n[/tex]

Will never be an odd number when n>1.

What is the inequality of this graph?

Answers

Answer: y < 3x -4

Step-by-step explanation:

We know two points of line: (0,-4) and (1,-1)

Therefore, we can find the slope: 3/1.

We know the y intercept.

Dashed line means the inequality is not apart of the region.

y < 3x-4

Four friends do yardwork for their neighbors over the weekend, earning $\$15$, $\$20$, $\$25$, and $\$40$, respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned $\$40$ give to the others?

Answers

Answer:

$15

Step-by-step explanation:

Let A, B, C and D represent the four friends respectively.

Given the following data;

Amount earned by A = $15

Amount earned by B = $20

Amount earned by C = $25

Amount earned by D = $40

Total amount earned = 15 + 20 + 25 + 40

Total amount earned = $100

For an equal ration, each friend should be given;

Each earnings = total amount earned/number of friends

Substituting into the equation, we have;

Each earnings = 100/4

Each earnings = $25

Hence, for D with $40, would become;

D = $40 - $25

D = $15

Therefore, D would give A $10 and give B $5.

Jim biked 2 3/4
miles on Monday and then 3 5/8 miles on Tuesday. How many miles did he bike in
total?

Answers

Answer:2 3/4+ 3 5/8= 6 3/8

Step-by-step explanation:

2 3/4= 2 6/8+3 5/8=5 11/8=6 3/8

can anyone please help me​

Answers

7. is C 3/50
8. is H 2/3
9. is C 2/3
10. is B slope 4 y intercept -2
11. is -1/4 slope
12. is 1/5 slope
13. is -2/3 slope
14. is 6 is the slope
15. is y=5/3x+5
16. is y=1/2x-3
17. is y=-3/5x+4
18. is y=3/2x-3 :)

2 The outside temperature is -3°F and falling at a rate of 2 degrees per hour. What will the temperature be in 5 hours?​

Answers

Answer:

-13

Explanation:

I did the math lol

Suppose 5,500 dollars is placed in a saving account how much money would be in the saving account after 5 years if the compound interest semiannually at a rate of 5% per year

Answers

Answer:

FV= $7,040.46

Step-by-step explanation:

Giving the following information:

Initial investment (PV)= $5,500

Number of periods (n)= 5*2= 10 semesters

Interest rate (i)= 0.05/2= 0.025

To calculate the future value (FV), we need to use the following formula:

FV= PV*(1+i)^n

FV= 5,500*(1.025^10)

FV= $7,040.46

i'll mark u as brainliest​

Answers

Answer:

y=x+40

Step-by-step explanation:

Better?

Answer: y = x + 40 (for the sake of this problem it’s y = 1x + 40)

calculate slope using y2-y1 / x2-x1

(2, 42) (3, 43)

43-42/3-2 = 1/1 so slope is 1

plug in a point to find b

y = x + b

42 = 2 + b

b = 40

y=x+40 final answer

What is the volume of a cylinder with a radius of 1.5 inches and a height of 19 inches? Use 3.14 for pi. Round your answer to the nearest hundredth.

Answers

Answer:

134.24 in³

Step-by-step explanation:

Use the formula for the volume of a cylinder, V = [tex]\pi[/tex]r²h

Plug in the radius, pi, and the height:

V = [tex]\pi[/tex]r²h

V = (3.14)(1.5²)(19)

V = 134.235

= 134.24 in³

So, the volume of the cylinder is 134.24 in³

Answer:

134.24 in³

Step-by-step explanation:

help please i need help.​

Answers

Answer: y=4x-4? yall i love algebra but I was trying to find the intercept and the points diidtn mathc up

Step-by-step explanation:

Assignment
Yeshi is making Pork fing. He has only 300g of pork
So he have to adjust the ro recipe.
500g pork
150g tomatoes
100g butter
120ml water
45g green chilli
8og onion.
a How much of each of the other ingredients
should he use​ to make pork fing

Answers

Answer / Step-by-step explanation:

500g - 300g = 200  {200 ÷ 500 = 0.4}  ---- 300g pork

0.4 × 150g = 60g tomatoes

0.4 × 100g = 40g butter

0.4 × 120ml = 48ml water

0.4 × 45g = 18g green chilli

0.4 × 8og = 3.2og onion

Hi, I will give brainliest if someone can help me with this problem.​

Answers

Answer:

(C)Zero

Step-by-step explanation:

Because of the zero on top of the y in the division anything that you multiply or divides is always zero even a negative so the answer is zero

Answer:

Zero

Step-by-step explanation:

Anything multiply or divide by 0 is always 0

Suppose that f(x)=3x+1....

Answers

Answer:

3

Step-by-step explanation:

f(x) = 3x+1

f(x+h) = 3(x+h)+1 = 3x+3h+1

f(x+h) - f(x)= 3x+3h+1-3x-1 = 3h

3h/h=3

Which equations have the variable term isolated to one side of the equals sign, and the constant isolated to the other
side, for the equation 1/5 x +1/3 = 1/2x + 8/3 ? Select all that apply
1. 1/5x-7/3=-1/2
2. 7/10x=7/3
3. -7/3=-7/10x
4. x=-5/2x+35/3
5. 0=-7/10x+7/3

Answers

Answer:

7/10x =7/3

-7/3 =-7/10x

This is the answer cause I just took the test and these were the right answers.

I NEED REAL HELP QUICKLY please

Answers

Answer:

hold on its its.............oh yeah 21

Answer:

  b

Step-by-step explanation:

One year ago, Lindsey deposited $250 into a savings account. Her balance is now $253. Two years ago, Jenn deposited $250 into a savings account. Her balance is now $257.50. Which account has the greater simple interest rate? Explain.
This is due at 2

Answers

Jenn's account has the greater simple interest rate

Where A is the final amount after investment, P is the initial amount, r is the rate of interest and t is the time periods.

For Lindsey:

Lindsey simple interest was 1.2% annually

For Jenn:

Jenn simple interest was 1.5% annually

Therefore Jenn's account has the highest simple interest rate.

^^^^^^^^^^^^^^^^^^^^

"EamonnAdams1992"

Answer:

She has a higher interest rate

Step-by-step explanation:

Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.

Sample answer on edge ;)

Can anyone help me I did it I'm just checking :)

Answers

Answer:

x = 12

Step-by-step explanation:

2x + 5 = 3x - 7

5 + 7 = 3x - 2x

12 = x

If you walked 5 2/3miles in 2 2/3hours what is the unit walking rate in miles per hour and in hours per mile

Answers

Answer:

17/8 or 2 and 1/8 in decimal= 2.125

Step-by-step explanation:

5 2/3 Divided by 2 2/3

(5*3) + 2= 17/3

(2*3) + 2= 8/3

17/3 divided by 8/3= 17/3 * 3/8

= 17/8 or 2 1/8

What is the x-intercept of the line?

Answers

Answer:

x- incept = 14

Step-by-step explanation:

Take any two points and find the slope.

(-94 , 24)   & (-74 , 18)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\ = \frac{18-24}{-74-[-94]}\\\\=\frac{18-24}{-74+94}\\\\=\frac{-6}{20}\\\\=\frac{-3}{10}\\[/tex]

(-94 , 24) and m = -3/10

Equation of the line:

[tex]y-y_{1}=m(x- x_{1})\\\\y - 24 =\frac{-3}{10}(x - [-94])\\\\y-24 =\frac{-3}{10}(x + 94)\\\\y-24=\frac{-3}{10}x + 94*\frac{-3}{10}\\\\y-24 = -0.3x- 28.2\\\\ y = -0.3x - 28.2 + 24\\\\ y = -0.3x - 4.2[/tex]

At x-intercept y = 0

0 =  -0.3x - 4.2

4.2 = - 0.3x

4.2/-0.3 = x

14 = x

x- incept = 14

Other Questions
13.a: Triangle ADEF is *equilateral* with DE = 3x + 6, EF = 36 - 3x and FD =12x-39. What is the value of x? *O 356O 12 . Calculate the kinetic energy of a 0.25-kg toy car traveling at aconstant velocity of 2 m/s. What does the term "mandate mean in terms of civil rights and liberties? Boiling Point is the __________. * Help pls and thank you 4. Look at these prices.8.797.988.977.89Write the amounts in order. Start with the smallest amount.smallestlargest A jeweler's grinding wheel slows down at a constant rate from 185 rad/s to 105 rad/s while it rotates through 16.0 revolutions. How much time does this take? Francis Galton was influential in founding which of the following fields of study?sociologyphysicseugenicschemistry What can biodiversity influence within an ecosystem? Which rational exponent represents a square root?A. 1 / 2B. 3/2C. 1/3D. 1/4 debate points on the topic online class support this topic WILL GIVE BRAINLIEST PLEASE HELF ASAPPPPP!!!!!!!PLEASEEE!!!!!!Tell me whether each one is an adjective or adverb phrase.1.People nowadays cannot live without technology.2.Once upon a time, there was a prince that turned into a frog.3.My cousin was so courageous driving over the bridge.4.Aside from drawing, Josh writes excellent stories. 1. Explain how a function may be reflected about the x-axis.2. Explainhowafunctionmaybereflectedaboutthey-axis.3. What is the difference between a slope change and a translation? composition variable a, element b. mixture c. substance d. compound e. matter now can u help me? dont just say random I actually need this Different between primary and secondary agents of socialization in four points Why were the colonists angered at the king's response to the Olive Branch Petition? They believed certain colonies were granted more rights than others. They said it was unfair that only one colony was granted special rights. They did not approve of the high tax that was placed on tea. They believed the king did not view them as equal citizens with the right to petition. The language in the following sentence appeals to the sense of _____ : He gently picked up the fragment which was extremely lightweight but unbendable.A.touchB.sightC.sound 7 men can dig a canal in 14 weeks. After 2 weeks of work another 7 men joined them in how many weeks more will the work be finished? Steinbeck uses the setting of this chapter to help mirror the opening of the book. In particular, he uses phrases and images that are similar to both: for example [a] water-snake slipped along on the pool, its head held up like a little periscope... (Chapter 1) and [a] water-snake glided smoothly up the pool, twisting its periscope head from side to side... (Chapter 6).Find one other example of this, and use quotes to illustrate the similarity. Why do you think Steinbeck uses this mirroring technique?