the price of a computer was decreased by 20% to £136. what was the price before it was decreased

Answer:

[tex]\angle ABC=60[/tex]

Step-by-step explanation:

[tex][Kindly\ refer\ the\ image\ attachment.]\\We\ are\ given\ that,\\AM\ is\ the\ Angle\ Bisector\ of\ \angle BAC.\\Hence,\\\angle BAM= \angle MAC\\CM\ is\ the\ Angle\ Bisector\ of\ \angle BCA.\\Hence,\\\angle BCM= \angle MCA.\\Also,\\\angle AMC=2 \angle ABC[/tex]

[tex]Now,\\As\ we\ can\ observe\ that,\\\angle BCM + \angle MCA= \angle BCA\\\angle MCA+ \angle MCA= \angle BCA\ [\angle BCM = \angle MCA]\\Hence,\\2 \angle MCA= \angle BCA\\Or, \\\angle MCA=\frac{\angle BCA}{2} \\\\Similarly,\\\angle BAM + \angle MAC= \angle BAC\\\angle MAC + \angle MAC= \angle BAC\\2 \angle MAC = \angle BAC\\Or,\\\angle MAC=\frac{\angle BAC}{2}[/tex]

[tex]Through\ the\ Angle\ Sum\ Property\ of\ a\ Triangle,\ we\ know\ that:\\'The\ Sum\ of\ all\ interior\ angles\ of\ a\ triangle\ is\ 180.'\\Hence,\\In\ \triangle BAC,\\\angle ABC + \angle BCA + \angle CAB=180\\In\ \triangle MAC,\\\angle MAC+ \angle ACM + \angle AMC=180[/tex]

[tex]Hence,\\As\ \angle AMC= 2 \angle ABC, \angle MCA=\frac{\angle BCA}{2}, \angle MAC=\frac{\angle BAC}{2},\\2 \angle ABC+\frac{\angle BCA}{2}+\frac{\angle BAC}{2}=180\\By\ resolving\ the\ denominators,\\\frac{4 \angle ABC+\angle BCA+\angle BAC}{2}=180\\\\By\ comparing\ the\ Sum\ of\ angles\ in\ both\ the\ triangles,\\We\ find\ that\ the\ RHS\ of\ both\ the\ equations\ are\ equal\ i.e.180,\\The\ LHS\ of\ the\ equations\ are\ equal\ too.\\[/tex]

[tex]Hence,\\\angle ABC+ \angle BCA + \angle BAC=\frac{4 \angle ABC+\angle BCA+\angle BAC}{2}\\Hence,\\2(\angle ABC+ \angle BCA + \angle BAC)=4 \angle ABC+\angle BCA+\angle BAC\\Hence,\\2 \angle ABC+ 2 \angle BCA + 2 \angle BAC=4 \angle ABC+\angle BCA+\angle BAC\\Hence,\\2 \angle BCA + 2 \angle BAC-\angle BCA- \angle BAC=4 \angle ABC- 2 \angle ABC\\Hence,\\\angle BCA+\angle BAC= 2\angle ABC[/tex]

[tex]Lets\ get\ back\ to\ the\ Angle\ Sum\ of\ \triangle ABC,\\\angle ABC + \angle BAC + \angle ACB=180\\Hence,\\As\ \angle BCA + \angle BAC= 2 \angle ABC,\\\angle ABC + 2 \angle ABC=180\\Hence,\\3 \angle ABC=180\\\angle ABC=\frac{180}{3}=60[/tex]

Answer:

D. 47

Step-by-step explanation:

the last one is the answer

The measurement of ∠ CSK = 110.2°

Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.

Given that Lines AB, CD, and LK intersects at R and S respectively,

m∠LRB = (3x - 2)° and m∠RSC = (2x - 5)

m∠LRB = m∠CSK  → (Alternate exterior angles)

m∠CSK + m∠RSC = 180°  → (Linear pair angles)

Therefore, m∠LRB + m∠RSC = 180°

(3x - 2)° + (2x - 5) =  180°

5x - 7 = 180°

5x = 187°

x = 37.4°

So, m∠CSK =  (3x - 2)°

(3x - 2)° = 3*37.4 - 2

m∠CSK = 110.2°

Hence, The measurement of ∠ CSK = 110.2°

For more references on Parallel lines, click;

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Answer:I=4+2y

Step-by-step explanation:

1. Add 2y to both sides

I-2y+2y=4+2y

2.Simplify

I=4+2y

Answer:

C = 12π

Step-by-step explanation:

The circumference (C) of a circle is calculated as

C = πd ( d is the diameter )

Here d = 12, then

C = 12π

Answer:

a=(2p-3n)/12

Step-by-step explanation:

-12a=-2p+3n

Or, a= -{(-2p+3n)/12}

a=(2p-3n)/12

Answer:

I think its a cylinder and a pyramid

Answer: x=3

Step-by-step explanation:

3x-7=17-5x

-7=17-8x (subtract both sides by 3x)

-24=-8x (subtract both sides by 17)

3=x (divide both sides by -24)

Answer:

3 is the answer

Step-by-step explanation:

-(5)+8

-5+8=3

you just change x for 5  and go from there

In this problem, you have to use substitution!

-x + 8, when x = 5

1) Substitute the value of 'x' with '5'

   -x + 8

= -5 + 8

2) Reverse the expression to make it easier to solve [optional]

  -5 + 8

= 8 - 5

3) Solve!

   8 - 5

= 3

Your answer is 3

I hope this helps!

- sincerelynini

Answer:

x = -4

Step-by-step explanation:

15x = -60

move 15 over and divide 60 by it

x = -60/15

then solve

x = -4

Answer:

x=-4

Step-by-step explanation:

first let's solve 15x for 60 so solving for the valuable "x" we move all terms containing x to the left and all other terms to the right. Dividing each side by 15 so x is negative 4

Given :

A number 789.13 .

To Find :

7.74% of 789.13 .

Solution :

Let, 7.74% of 789.13 is x.

So,

[tex]x = \dfrac{789.13\times 7.74}{100}\\\\x = \dfrac{6107.8662}{100}\\\\x = 61.08[/tex]

Therefore, 7.74% of 789.13 upto 2 decimal place 61.08 .

Answer:

$3 initial fare, 0.75 per mile

Step-by-step explanation:

let x be initial fare, y be per mile

x+4y=6

x+10y=10.50

subtract first from second,

6y = 4.5

y = 0.75

substitute into first equation, x+3 = 6, x=3

Answer:

1.12 dollers per mile

Frogfly2015 avatar

basic fee is 1.52 dollars

Frogfly2015 avatar

15 mile thing is 18.32 dollars

Step-by-step explanation:

trust

Answer:

x=56

(I do not know 100% but give it a try)

Step-by-step explanation:

You need to input the vertical angles and see what the supplementary angles are and then you get your answer. 180-60=x    180-60= 120   120-40-24= 56

Answer:

Step-by-step explanation:

The nearest integer would be 13.

You would find the square root of 175, which is 13.22, and you would round that to the nearest integer, 13.

Answer:

x = 20

Step-by-step explanation:

I don't see a y in the diagram.

The 3 angles x, 90 and (4x - 10) lie on the line EF and sum to 180°, so

x + 90 + 4x - 10 = 180, that is

5x + 80 = 180 ( subtract 80 from both sides )

5x = 100 ( divide both sides by 5 )

x = 20

Answer:

a

Step-by-step explanation:

It says m=50 minus the three that fell out. That's m=50-3

Answer:

anyway, i thikn the only possible one is 3(k)-3(6)

Step-by-step explanation:

Answer:

pppppppppppppointssssss

Answer:

eight point seven thousand four hundred thirty eight

Answer:

its "eight and seven thousand four hundred thirty-eight ten thousandths".

Step-by-step explanation:

Answer:

n+5>11

Step-by-step explanation:

5 added to number n: n+5

(5 added to number n)is greater than 11

is greater than: >

n+5>11

Answer:

imaginary numbera

Step-by-step explanation:

Result of every natural number is positive and for imaginary number sqaure result positive .

Answer:

the square root of 42 is an irrational number. the square root of 42 is.....

Step-by-step explanation:

Answer:

( 2 + y ) - 4

Answer:

It's okay my brain doesn't work some days, too.

1. x = -7

2. x = -6

3. x = -1

4. y = 4

Step-by-step explanation:

1. Simply subtract equal and opposite values from positive values and do the same on both sides. Divide the final x value by its coefficient to get 1x = -7

2. Do the same as above AFTER distributing the 4(5 - x)

3. Once again, distribute all values then combine like terms like #1

4. This one uses a fraction to distribute, but it is just like dividing the number by 3 instead of multiplying (6/3 instead of 6 * 3)

Hope I helped!

Answer:

Step-by-step explanation:

Answer:the answer is 32

Step-by-step explanation: 2 to the 5th power =2*2*2*2*2=32