There are about 16 kilometers in 10 miles. About how many kilometers are in 5 miles! HELP ​

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:

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:

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

Step-by-step explanation:

Answer:

The pizza would have been $36

Answer:

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

Step-by-step explanation:

Answer:

2 2/5

Step-by-step explanation:

14 divided by 5/6 is 2 2/5

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=−23

Step-by-step explanation:

14+x=−9

Step 1: Simplify both sides of the equation.

x+14=−9

Step 2: Subtract 14 from both sides.

x+14−14=−9−14

x=−23

Answer:

-23

Step-by-step explanation:

14+x =-9

-14      -14

x = -23

Answer:

The current hourly pay is $8.44 approx

Step-by-step explanation:

Step one:

given data

Super Grocery Store paid its cashiers $6.75 an hour

We are told that the cashiers make 25% more an hour

Required

The cashier's current hourly pay

Step two:

the current hourly pay will be

former pay + 25% of former pay

=6.75+0.25*6.75

=6.75+1.6875

$8.437

=$8.44 approx

Answer:

(-3,3)

Step-by-step explanation:

use the midpoint formula

Answer:

15 feet

Step-by-step explanation:

Use the Pythagorean theorem which is a^2 + b^2 = c^2

a and b represents the legs of the triangle

c represents the hypotenuse (which is the chain)

Answer: 15ft chain length

Step-by-step explanation: A right triangle is formed from the picture. Using pythagorean theoreom

12^2+9^2=c^2

225=c^2

15=c

Answer:

11 because adjacent is basically next to and NKL is 12

Step-by-step explanation:

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:

69

Step-by-step explanation:

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:the answer is 32

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

Answer:

D. 47

Step-by-step explanation:

Answer:

associative property

Step-by-step explanation:

Answer:

( 2 + y ) - 4

Answer:

the answer is 25.96800

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

In each empty table square, fill in the value that is computed by replacing 'n' in the rule to the left with the value of 'n' above that square.

For example:

The upper left empty square will be filled with ...

  n -5 . . . . with n replaced by 1

  1 - 5 = -4 . . . . the value that goes in the upper left square.

__

Another example:

The lower right square will be filled with ...

  4n -3 . . . . with n replaced by 100

  4·100 -3 = 400 -3 = 397 . . . . the value that goes in the lower right square

_____

Additional comment

When there are numerous table values to fill, it can be convenient to let a spreadsheet do the calculations. Here, each formula was entered once, then filled to the right.

Answer:

12

Step-by-step explanation:

7(6)=30+x

42=30+x

12=x

Answer:

False.

Step-by-step explanation:

If we substitute a for 6, the inequality would become 6 > 6. That is not true because 6 cannot be greater than itself.

Answer:

pppppppppppppointssssss

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.