Mathematics High School

In a ∆ABC , angle A + Angle B = 125° and Angle B + Angle C = 150° . Find all the angles of ∆ABC.​

Answers

Answer 1

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

In triangle ABC

[tex] \purple{\rm :\longmapsto\:\angle A + \angle B = 125 \degree \: - - - (1) }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle B + \angle C = 150 \degree \: - - - (2)}[/tex]

We know,

Sum of all interior angles of a triangle is supplementary.

[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C = 180\degree }[/tex]

On adding equation (1) and (2), we get

[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle B + \angle C = 125\degree + 150 \degree \:}[/tex]

[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C + \angle B = 275\degree \:}[/tex]

[tex] \purple{\rm :\longmapsto\:180\degree + \angle B = 275\degree \:}[/tex]

[tex] \purple{\rm :\longmapsto\:\angle B = 275\degree - 180\degree \:}[/tex]

[tex] \purple{\rm :\longmapsto\:\angle B = 95\degree \:}[/tex]

On substituting the value in equation (1) and (2), we get

[tex] \purple{\rm :\longmapsto\:\angle A + 95\degree = 125\degree }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle A = 125\degree - 95\degree }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle A = 30\degree }[/tex]

Also, from equation (2), we get

[tex] \purple{\rm :\longmapsto\:95\degree + \angle C = 150\degree }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle C = 150\degree - 95\degree }[/tex]

[tex] \purple{\rm :\longmapsto\:\angle C = 55\degree }[/tex]

Hence,

[tex]\begin{gathered}\begin{gathered}\bf\: \rm\implies \:\begin{cases} &\sf{\angle A = 30\degree } \\ \\ &\sf{\angle B = 95\degree } \\ \\ &\sf{\angle C = 55\degree } \end{cases}\end{gathered}\end{gathered}[/tex]

Answer 2

Answer:

angle A=30°

angle B=95°

angle C=55°

Related Questions

8.90 x 3.12 will give brainlist

Answers

27.768

Multiply 890 and 312

This equals 277680

We know that there were 4 numbers behind a decimal point

Therefore the last four numbers of 277680 need to be behind a decimal point as well

So you're answer is 27.7680 or 27.768

Which of the following ordered pairs make this
equation true?
y = 2x + 1

A. (1,2)
B. (2,5)
C. (7,3)
D. (9, 4)

Answers

Answer:

B. (2, 5)

Step-by-step explanation:

If x = 2,

y = 2(2) + 1

= 5.

The answer is B hope this helped my friend!

Fill in the blank: 4(3x + ?) = 12x + 16
A) 4, B) 16, C) 12, D) 4x​

Answers

Answer:

A) 4

Step-by-step explanation:

4(3x + ?) = 12x + 16

\/

12x + ? = 12x + 16

What times 4 is 16?

4.

So our answer is A) 4

Determine the value of the expression 2(x - 3) when x = 2.

Answers

Answer:

-2

Step-by-step explanation:

2(x-3), x=2

Since we know what x equals, plug it into the equation

2(2-3)

2(-1)

-2

Answer:

2(2-3)

4-3

1

Step-by-step explanation:

[tex]2(2 - 3) \\ 4 - 3 \\ 1[/tex]

overy
A line intersects the points
(8,-10) and (9,4).
What is the slope of the line in
simplest form?

Answers

Answer:

m = 14

Step-by-step explanation:

The entered points belong to an increasing, linear function.

explain mathematically how you know 15y=18 and 5y=6 are equivalent

Answers

Answer:

15y + 18 and 5y = 6 are equivalent because when you divide 15y and 18 by 3

5y = 6 is what you get. When you multiply 5y and 6 by 3, 15y = 18 is what you get.

Does anyone know number 5?

Answers

Answer:

83 is the right answer.

Step-by-step explanation:

Answer:

10th term=83

Step-by-step explanation:

10th=11+(10-1)

=11+72

=83

find value of each variable and the measure of each label (2x+32) (3x-5)

Answers

Answer:

Step-by-step explanation:

(2x+32) (3x-5)

(2x+3x) (32-5)

(5x*27)

hope this helps

HELP ME WITH ANGLES PLEASE>

Answers

x = 33

hope i helped <3

Answer:

x = 33

Step-by-step explanation:

Pls brainliest I knew it because of K12

-343 as a power of (-7)

Answers

Answer:

[tex]-342^{-7}[/tex]

Step-by-step explanation:

If we represent 343 as a power of (-7)

we get [tex]-342^{-7}[/tex]

the equation will be this

= -347 × -347 × -347 × -347 × -347 × -347 × -347

Multiply out and simplify:
3(X-3) + 2(x-5)

Answers

Answer:

5x-19

Step-by-step explanation:

distribute first

3x-9+2x-10

add like terms

5x-19

5x-19 is your answer

Write a unit rate for each situation . 20$ saved in 4 weeks

Answers

Answer:

so the answer is 5

Step-by-step explanation:

20/4=5

5 = t + 12
please help me for this

Answers

Answer:

t = -7

Step-by-step explanation:

You have to get t by itself. Just take the 12 and subtract it from both sides. 5-12 on the left and 12-12 on the right. You then end up with -7 = t or t = -7.

Can someone please give me the answers to this? ... please ...

Answers

Answer: don’t know what your requesting but a lot of these are wrong

Step-by-step explanation:

Quis
bentuk faktorial dari
5!=​

Answers

Answer:

5!=

[tex] = 5 \times 4 \times 3 \times 2 \times 1 \\ = 20 \times 3 \times 2 \times 1 \\ = 60 \times 2 \times 1 \\ = 120 \times 1 \\ = 120[/tex]

Help me show my work on 13.

Answers

Answer:

Just show basic multiplication skills that we learned in 3th grade i suppose since your teacher dosen't have a brain to figure this out

Pls help
bobik: yes, or no

Answers

Answer:

yes

Step-by-step explanation:

Answer:

?? Yes??

Step-by-step explanation:

the line through (6, 1) and (-3,5) in
slope-intercept form

Answers

Answer: y = -4/9x + 11/3

Step-by-step explanation:

The n sequence question

Answers

Answer:

a) in order

-3;-2;-1

b) 6

1-4=-3

2-4=-2

3-4=-1

4-4=0

5-4=1

6-4=2

7-4=3

8-4=4

9-4=5

10-4=6

how much is 40+ 12= and 34=23=34=45=4=

Answers

Answer:

52 and 150?

Step-by-step explanation:

40+12=52

34+23+34+45+4

Simplify: 57+34+49

Simplify: 91+49

Add: 140

If the heights of a population of men are approximately Normally distributed, and the middle 99.7% have heights between 5'0" and 7'0", what is the standard deviation of the heights of the population?

a. 1"

b. 12"

c. 6"

d. 4"

e. 3"

Answers

Answer:

4 inches

Step-by-step explanation:

the middle number is 6 and the distance from 99.7 from the middle is 3 standard deviations. 12/3 =4

The value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean. The correct option is e.

What is the empirical rule?

If your distribution follows a normal distribution, the standard deviation and mean can tell you where the majority of the data are.

It is given that the heights of a large population of ostriches are normally distributed. The percentage of these heights is within 3 standard deviations of the mean.

As we know from the empirical rule:

It is the rule of 68-95-99.7.

From the data given in the question: The height of a large population of ostriches is normally distributed.

X ~ (u, б²)

Normal distribution.

P{u - 3б < X < u + 3б}

From the distribution table:

P{u - 3б < X < u + 3б} = 99.7%

Thus, the value of 99.7% is the closest to the percentage of these heights that is within 3 standard deviations of the mean.

Learn more about the empirical rule here:

brainly.com/question/5440679

#SPJ2

If the mean of the numbers 8, 9, 10, 11, and x is 12, then what is the value of x?


A. 7


B. 12


C. 22


D. 38

Answers

Answer:

C=22

Step-by-step explanation:

8+9+10+11+x divided by 5 gives 12

38+x divide by five gives 12

12×5=60

38+x=60

x=22

brainlist please

For the reaction 2Fe + O2 → 2FeO, how many grams of iron oxide are produced from 42.4 mol of iron?

Answers

In the balanced reaction

2 Fe + O₂   →   2 FeO

2 moles of iron (Fe) react with 1 mole of molecular oxygen (O₂) to produce 2 moles of iron oxide (FeO). The ratio of Fe to FeO is 1-to-1, so if one starts with 42.4 mol of Fe, one will end up with the same amount of FeO, 42.4 mol.

Look up the molar mass of Fe and O:

• Fe = 55.845 g/mol

• O = 15.999 g/mol

Then the molar mass of FeO is approximately 71.835 g/mol, and so the mass of 42.4 mol of FeO is

(42.4 mol) × (71.835 g/mol) ≈ 3050 g

please do this for me

Answers

Answer:

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Step-by-step explanation:

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The set of ordered pairs below represents a relation that is a function.
​
​
​
Which point, when added to the set, would form a relation that is not a function?
A
(0,6)(0,6)(0,6)
B
(4,2)(4,2)(4,2)
C
(−6,8)(-6,8)(−6,8)
D
(−8,10)(-8,10)(−8,10)

Answers

Answer:

I'm confused by the points:  

Why three points for each (A, B, C, and D)?: A: (0,6)(0,6)(0,6), etc.

Points A and B [(0,6) and (4,2)] are consistant with a straight line of the form y=-x+6.

Points C and D [(-6,8),(-8,10)]are on the line y=-x+2.  

A and B aren't related to C and D.

Step-by-step explanation:

how would you compare the sizes of two balls

Answers

Answer:

You could compare the mass of each ball and volume, You could also find the height of each ball or diamiter. I really hope this isnt satire.

I need help with this math

Answers

Answer:

D

Step-by-step explanation:

∠1 + ∠2  =  180   {Supplementary angles}

6x + 15 + 3x + 3 = 180

6x + 3x + 15 + 3 = 180      

Combine like terms

9x + 18 = 180

Subtract 18 from both sides

9x = 180 - 18

9x = 162

x = 162/9

x = 18

∠2 = 3x +3

     = 3*18 + 3

     = 54 + 3

∠2 = 57°

Answer:

Answer is option D) 57°

Here is the explanation...

PLS HELP WILL MARK BRAINLIEST, NO FAKE ANSWERS OR WILL BE REPORTED.

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is ~

A. [tex]-{x}^{2}+x+3[/tex]

[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]

The solution is in attachment ~

A=27.36+73.99+27.14-49.73

Answers

Answer:

78.76

Step-by-step explanation:

Self explanatory solve porfavor

Answers

2(2/5) divided 2(-1/5)

we do PEMDAS meaning parenthesis first

2(2/5) = 4/5(calculator)

or

2/1x2/5=4/5

now

2/1x-1/5=-2/5

now we do division

4/5/-2/5 we get -2

-2

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