One of the angles of a triangle is 8 deg more than 5 times another angle. If the third angle is 4 deg larger than the difference of the first two angles, find the angles.

Answers

Answer 1

Answer:

[tex]16^\circ, 88^\circ, 76^\circ[/tex]

Step-by-step explanation:

Given a triangle.

One of the angles is [tex]8^\circ[/tex] more than 5 times of one angle.

Third angle is [tex]4^\circ[/tex] more than the difference of two angles.

To find:

The angles.

Solution:

Let the first angle = [tex]x^\circ[/tex]

As per question statement, second angle = 5[tex]x^\circ[/tex] + [tex]8^\circ[/tex]

And third angle = 5[tex]x^\circ[/tex] + [tex]8^\circ[/tex] - [tex]x^\circ[/tex] + [tex]4^\circ[/tex] = [tex](4x+12)^\circ[/tex]

Using triangle sum property that the sum of all the internal angles of a triangle is always equal to [tex]180^\circ[/tex].

[tex]x+5x+8+4x+12 = 180\\\Rightarrow 10x+20=180\\\Rightarrow 10x = 160\\\Rightarrow x = 16[/tex]

Therefore, the first angle = [tex]x^\circ = 16^\circ[/tex]

The second angle = [tex]5x+8 = 5 \times 16 + 8 = 80+8 = 88^\circ[/tex]

The third angle = [tex]4x+12 = 4\times 16 + 12 = 76^\circ[/tex]

Therefore, the angles are [tex]16^\circ, 88^\circ, 76^\circ[/tex].


Related Questions

Solve for ddd. 6d-\dfrac{11}2=2d-\dfrac{13}26d− 2 11 ​ =2d− 2 13 ​ 6, d, minus, start fraction, 11, divided by, 2, end fraction, equals, 2, d, minus, start fraction, 13, divided by, 2, end fraction d=d=

Answers

Answer:

[tex]d = -\dfrac{1}{4}[/tex]

Step-by-step explanation:

Given

[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]

Required

Solve for d

[tex]6d-\dfrac{11}2=2d-\dfrac{13}{2}[/tex]

Collect Like Terms

[tex]-2d + 6d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]

[tex]4d=-\dfrac{13}{2}+\dfrac{11}{2}[/tex]

Take LCM

[tex]4d=\dfrac{-13+11}{2}[/tex]

[tex]4d=\dfrac{-2}{2}[/tex]

[tex]4d = -1[/tex]

Make d the subject

[tex]d = -\dfrac{1}{4}[/tex]

Please give me the correct answer ​

Answers

Answer:

not a right triangle

Step-by-step explanation:

What is the solution to the egquation 3(2x+5) = 3x+4x?
O x=0
O x=4
O x=5
O x=15

Answers

Answer:

this is the answer (x=5)

Answer:

X=15

The last bubble

HELP PLZ

If a triangle has vertices A (-5, 1), B (3, 5) and C (2, -3),



A. find each side length



B. classify the triangle based on the sides

Answers

Answer:

the answer is 28 for A the answer for B is -5 for A, 15 for B, and -6 for C

Step-by-step explanation:

What is the measure of angle F in degrees?

Answers

it has to be around 90°, if you want something exact use a protractor :) or use something with a sharp edge to see if it’s 90° hope this helps :)

Identify the number of terms, the coefficient(s), and the
term(s) of the expressions below.
7. 6p - 7p + 9c - 4
terms:
Coefficients:
Constant terms

Answers

Answer:

terms = 7.6p-7p and 9c-4

coefficients =76, 7, 9 and 4

constant terms= 4

Find the circumcenter of the triangle.
(-1, 1)
(4,-2)
(-1, -2)

Answers

I believe 4,-2. The circumcenter of a right triangle is right at the mid point aka where 4-2 is

Aspen added 14 to the product of 224 and 16 . What is the sum

Answers

Answer:

3,588

Step-by-step explanation:

224 x 16 + 14

= 3,588

hope this helps and have a good day!

How would the frog hop to meet the following requirements?
• From 3, make one hop and land on 6.
• From 6, make one hop and land on the opposite of 6.
• From the opposite of 6, make one hop to land on the opposite of the opposite of 6.

Answers

Answer:

He would make one hop to land on 6.

Step-by-step explanation:

He starts on 6, and hops to the opposite of the opposite of 6, which is 6.

Addison is selling giant chocolate bars for the choir fundraiser. The choir program will earn $3 for every bar that she
sells. She uses the function y = 3x to calculate how much she earns.
Given the domain of {9, 15, 18, 21, 27}, what is the range?
a
b
{3, 5, 6, 7, 93
9 275x581
{27, 45, 54, 63, 81}
С
d

Answers

Given:

The function is

[tex]y=3x[/tex]

Domain of the function is {9, 15, 18, 21, 27}.

To find:

The range of the function.

Solution:

We have,

[tex]y=3x[/tex]

Domain is set of input (x-values) and range is the set of output (y-values).

Domain =  {9, 15, 18, 21, 27}

For x=9,

[tex]y=3(9)=27[/tex]

For x=15,

[tex]y=3(15)=45[/tex]

For x=18,

[tex]y=3(18)=54[/tex]

For x=21,

[tex]y=3(21)=63[/tex]

For x=27,

[tex]y=3(27)=81[/tex]

So, the y-values are 27, 45, 54, 63, 81.

Therefore, the range of the function is {27, 45, 54, 63, 81}.

Note: Options are not in proper form.

Amy want to buy a desk. The original price is 60$. It is on
sale for 10%. How much will amy save?

Answers

Answer:

20.40

Step-by-step explanation:

Answer:

10 dollars. I think.

Step-by-step explanation:

use, or to compare the following numbers. -2 or 12 <>

Answers

Answer:

-2 < 12

Step-by-step explanation:

12 is bigger than -2.

HELP PLZZZ!!!!! THank u! :)

(5 screenshots included)

Answers

#4 is 3rd answer , bc there is no such thing as xy together

Step-by-step explanation:

1. f(x) = 6x - 14

Slope is the coefficient of x

Slope = 6

2. f (x) =6x+ 9 +x

f(x) = 7x +9

Slope = 7

3. The last option because it is not a line.

4. The third option. x and y do not get multiplied in linear equations.

5. The last option.

the first one is y=x

the second one is y =-x

the third one is y=0x - 2

the last one is wrong because if x is - 1 or - 2 twice, it should still give the same vue for y.

I hope this helps.

Please gimme brainliest. Thank you

10. (02.03)
Find the solution of 3 to the square root of x+6=-12 , and determine if it is an extraneous solution. (1 point)
x= -3; extraneous
x = -3; not extraneous
x= 10; extraneous
x= 10; not extraneous

Answers

Answer:

x= 10; extraneous

Step-by-step explanation:

Given the expression:

3√x+6 = -12

We are to find the value of x

Divide both sides by 3

3√x+6/3 = -12/3

√x+6 = -4

Square both sides

(√x+6)² = (-4)²

x + 6 = 16

x = 16-6

x = 10

Hence the solution is x =10 and it is extraneous solution

What’s the ANSEWR to this

Answers

Answer:

20.25

Step-by-step explanation:

i think its asking for the long side

the pythagorean theorem states that in a right triangle a^2+b^2=c^2

a is 19

b is 7

c is the long side

19^2= 361

6^2= 49

361+49=410

410 =c^2

square root of 410 = ~20.25

Answer:

[tex]hypotenuse = \sqrt{ {19}^{2} + {7}^{2}} \\ = \sqrt{361 + 49} = \sqrt{410} \\ = 20.25[/tex]

20.25 is the right answer.

solve the system
y=x+5
y=-3x+1
The solution is (__,__)​

Answers

The solution is (-1,4). You can also double check this answer by plugging the values into a calculator:) hope this helps


A bowl contains 61 red and yellow Skittles. The number of red Skittles is 10 more than twice the number of
yellow Skittles. How many of each color are in the bowl?
Define your variables and write a system of equations that could be used to determine the number of red
Skittles and yellow Skittles in the bowl. (DO NOT SOLVE THE SYSTEM)
Let
Equation 1:
Let
Equation 2:

Answers

Answer:

the red skittles be 44 and yellow skittles be 17

Step-by-step explanation:

The computation of the number of each color are in the bowl is as follows;

Let us assume the red skittles be y

And, the yellow skittles be x

The first equation is

x + y = 61

And, the second equation is

y = 2x + 10

Now put the second equation in the first equation

x + 2x + 10 = 61

3x = 51

x = 51 ÷ 3

= 17

And, y = 2 (17) + 10

= 34 + 10

= 44

Hence, the red skittles be 44 and yellow skittles be 17

ty-qy+p=r solve for y ​

Answers

Answer:

[tex]\huge\boxed{y= \frac{r-p}{t-q}}[/tex]

Step-by-step explanation:

In order to solve for y in this equation, we can algebraically manipulate it to isolate y one one side of the equation.

Step 1: Subtract [tex]p[/tex] from both sides of the equation.

[tex]ty - qy + p - p = r[/tex] [tex]ty-qy=r - p[/tex]  

Step 2: Factor out the common term [tex]y[/tex] from the left side

[tex]y( t-q ) = r-p[/tex]

Step 3: Divide both sides by [tex]t-q[/tex]

[tex]\frac{y(t-q)}{t-q} = \frac{r-p}{t-q}[/tex] [tex]y = \frac{r-p}{ t-q}[/tex]

Hope this helped!

Please help WHAT IS THE PERCENT OF 39.8 out of 200 QUICK PLEASE

Answers

Answer:

19.9%

Step-by-step explanation:

39.8/200 = 0.199 (move decimal two times)

19.9%

or you can just see what number get 200 to 100, which is by dividing by 2. What you do to the bottom you do to the top so 39.8/200 (divide both sides by 2)  = 19.9/100

which is 19.9%.

Ace Carlos

Enter the number in standard form.
4.78 · 10-1

Answers

The answer is 46.8
Plz mark me Brainly
the answer is 46,8
:)

Violet saw a scarf online for $24. If she has an 18% discount coupon what would be the discount amount?

Answers

The discount would be $4.32, and the total after the discount would be $19.68.

Someone please do this!

Answers

Answer:

£518.42

Step-by-step explanation:

518.42 I think that’s right

Which expression is not equivalent to 3x-2

Answers

Answer: Let's simplify step-by-step.

3x−2

There are no like terms.

So it going to be the same, =3x-2

Step-by-step explanation: hope you understand

Answer:

2x + 2 + x

Step-by-step explanation:

Solve for x.

a. 16
b. 11
c. 6

Answers

the answer is c. 6

a triangles angles must add up to 180 degrees. 70+60=130 so 180-130=50. so the last angle is 50 degrees. then u set up 8x+2=50 and solve.
C!!!!!!!!!!!!!!!!!!!!

Need help plz help plz

Answers

Answer:

[tex]x = 11[/tex]

Step-by-step explanation:

Given

The attached triangle

Required

Find x

The theorem that applies to this question is the theorem of external angles. And it translates to:

[tex]11x +2 = 58 + 5x + 10[/tex]

Collect Like Terms

[tex]11x -5x = 58 + 10-2[/tex]

[tex]11x -5x = 66[/tex]

[tex]6x = 66[/tex]

Divide through by 6

[tex]\frac{6x}{6} = \frac{66}{6}[/tex]

[tex]x = \frac{66}{6}[/tex]

[tex]x = 11[/tex]

please answer do not answer if u don't know the answer

Answers

Answer :x=3 y=7 (3,7)

Step-by-step explanation: I took algebra last year and I answered your question earlier.

Mason invests £1500 at 2.5% per year compound interest.
Work out the value of Mason's investment at the end of 3 years.

I know the answer is 1615.34 I need the working out :/​

Answers

Step-by-step explanation:

1500(1+2.5/100)^3

or do 100+2.5=102.5

102.5÷100=1.025

1500×1.025^3

What is the constant of proportionality in the equation 3y = 2x

Answers

Answer:k = 2/3

Step-by-step explanation:

When a variable y directly relates to another variable x, we can say:

y=kx

Given the equation, we can say

3y=2x

y= 2x/3

Putting the value of y from above discussion

kx = 2x/3

x is being cancelled on both sides of equation

k= 2/3

Answer:

k = 2/3

Step-by-step explanation:

i don’t know how to explain sorry I’m not good at explaining but I hope this helps

just please help help help help

Answers

Answer:

C.{(-3,10),(-2,5),(1,2),(-2,-4)}

write the slope-intercept form of the equation if the slope is 1 and the y-intercept is is -4

Answers

Answer:

y=x-4

Step-by-step explanation:

Slope intercept form is y=mx+b (m=slope and b=y intercept)

so the equation would be y=1x-4 but you should simplify to y=x-4

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