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.

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].

Evaluate -31-8+31−31−8+31minus, 31, minus, 8, plus, 31.

20 POINTS!
Which estimate best describes the area under in square units?

HELP HELP PLSSSSSSSS NOBODY ANSWERS ANYMORE!!!

HELP Members of a soccer team suspect the coin used for the coin toss at the beginning of their games is unfair. They believe it turns up tails less often than it should if it were fair. The coach of the team decides to flip the coin 100 times and count the number of tails. His trial results in 35 tails. He decides to carry out a significance test. What is the p-value he obtains and the general conclusion that can be made at a 99% significance level?
The p-value is 0.0013. He should reject the null in favor of the alternative.
The p-value is 0.0013. He should fail to reject the null.
The p-value is 0.9987. He should reject the null in favor of the alternative.
The p-value is 0.9987. He should fail to reject the null.
There is not enough information provided to calculate the p-value and make a conclusion.

plz answer my question​

T-shirts & More Print Shop will print any image on a coffee mug for a cost of $2 per mug
and a one-time charge of $12 to set up the mug design. You Say It, We Print It will print
any image on a mug for a cost of $5 per coffee mug and no set-up fee. Which
inequality shows when T-shirts & More Print Shop will cost more than You Say It, We
Print It?

a) 2 + 12m > 5m
b) 2m + 12 < 5m
c) 2m + 12 > 5m
d) 2m < 5m + 12

I need help ASAP please HElp

hello please help me, the product of two consecutive odd integers is 399. what equation would be used to solve this problem?

I NEED HELP PLEASE ANSWER

What shape is this cross-section?

I need help with question b

HELP I NEED HELP ASAP

which of the following is not a function A (2,1),(4,3),(6,5),( 8,7) B (2,1),(4,1),(6,5),(5,4) C (2,1),(4,3),(6,5),(2,7)

what is 5x2x9x6x7.........WILL MARK BRAINLEIST!!!!!!1

A Petri dish is growing bacteria. It starts with 3 cells on day 1, 9 cells on day 2, and continues tripling the number of cells every day after that. How many cells of bacteria are there on day 5?

Hannah has a chicken coop with 6 hens. Let X represent the total number of eggs the hens lay on a randomly chosen day. The distribution for X is given in the table.

A 2-column table with 7 rows. Column 1 is labeled number of eggs with entries 0, 1, 2, 3, 4, 5, 6. Column 2 is labeled probability with entries 0.02, 0.03, 0.07, 0.12, 0.30, 0.28, 0.18.

What is the median of the distribution?

3
3.5
4
4.2

2. Find the distance between the two points on the coordinate plane given below.

PLEASE HELP ASAP! I REALLY NEED IT!

Read the excerpt from Heart of a Samurai.

[Manjiro] took one last glance behind them and noticed something strange. Dark streaks ran like ribbons through the water.
Which best states the author’s purpose for using the word “strange”?
A. to develop Manjiro’s character
B. to create a feeling of suspense
C. to describe the story’s setting
D. to quicken the pace of the story

A combination lock is to have 4 digits (using the numbers from 1 to 9 (ie No Zero)How many different combinations are there that have all different numbers.

distributive property -8(1+5m)

In Ms. Price's class, students were asked to name the sport that they watch most often on
television
8 students named baseball,
7 students named football,
5 students named basketball,
What is the ratio of the number of students who watched basketball most often to the total
number of students? *
11 point

what is the least common multiple of 7 and 12

I need help for this math question

I need help and NOW PLEASE

Evaluate the function:

f(x)=4x−1, find f(9)

What is the sum of (4s+3)+(2s+1)

A parallelogram with vertices H(-2, 2),
J(5,2), K(-3, 3), and L(-4, -3) is dilated
to form a parallelogram with vertices.

H'(-5,5), J'(12.5, 5), K'(-7.5, 7.5), and
L'(-10, 7.5). Which representation best
explains the effect of this dilation?

A. (x,y) -> (3x, 3y)
Original

B. (x,y) -> (2.5x, 2.5y)

C. (x,y) -> (2x, 2y)

D. (x,y) -> (1.5x, 1.5y)

In the figure below, the segments overline RS and overline RT are tangent to the circle centered at Given that OS = 3.6 and RT = 4.8 , find OR

What is the salesperson's commission on a $600
sale if the commission rate is 30%?
A $18
B $18,000
C $180
D$618