Suppose the expression was (12 - 3)². Would you still simplify 3² first? Explain.

Answer:

Open circle on 3 and an arrow going to the right of 3

Step-by-step explanation:

Answer:

2 2/5

Step-by-step explanation:

14 divided by 5/6 is 2 2/5

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:

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:

[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:

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=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:

The pizza would have been $36

Answer:

The pizza is 36 dollars if he had used the coupon.

Step-by-step explanation:

Answer:

11 because adjacent is basically next to and NKL is 12

Step-by-step explanation:

Answer:

D. 47

Step-by-step explanation:

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:

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:

(-3,3)

Step-by-step explanation:

use the midpoint formula

Answer:

( 2 + y ) - 4

Answer:

associative property

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:the answer is 32

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

Answer:

69

Step-by-step explanation:

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:

the answer is 25.96800

Answer:

[tex]2\frac{11}{12} +5 \frac{1}{2} + 3\frac{3}{8}[/tex] (write them out and convert them all into mixed fractions)

[tex]\frac{35}{12} + \frac{11}{2} + \frac{27}{8}[/tex] (find the LCD aka least common denominator)

[tex]\frac{70}{24} + \frac{132}{24} + \frac{81}{24}[/tex] (add all numerators together)

[tex]\frac{283}{24}[/tex]  (this is improper, so you need to convert back to mixed by dividing)

[tex]11\frac{19}{24}[/tex] (this is your answer)

Answer:

Step-by-step explanation:

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:

12

Step-by-step explanation:

7(6)=30+x

42=30+x

12=x

Answer:

pppppppppppppointssssss