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natka813 [3]
3 years ago
7

I need to find the measure of the exterior angle of the triangle ​

Mathematics
1 answer:
ankoles [38]3 years ago
6 0

Answer:

92º

Step-by-step explanation:

(2x-2)º=x+45º

2x-2=x+45

2x-x=45+2

x=47

____________

22x-2=2(47)-2=92º

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Please help me solve for x in the following magic square...<br>​
o-na [289]

Answer:

x = 1/2

Step-by-step explanation:

The sum of numbers in all rows, columns and diagonals have to be the same.

Notice the diagonals do not have an x so let's sum those numbers to see what the sum for all must be.

-2+(1/2) +3 = (-4+1+6)/2 = 3/2

-5+(1/2)+6 = (-10+1+12)/2 = 3/2

Now we can pick the first row and sum the numbers up knowing that the result should be 3/2, will find x

-2+x-3+6 = 3/2, combine like terms

         x+1 = 3/2 , subtract 1 from both sides

            x = (3/2)-1, find common denominator and subtract

            x = (3-2)/2, combine like terms

            x = 1/2

Check or work:

Rows from top to down

-2 +(1/2) -3 +6 = (-4+1-6+12)/2 = 3/2✅

17*(1/2) +(1/2) +(1/2)-8 = (17+1+1-16)/2 = 3/2✅

-5+(9/2) -2(1/2) +3 = (-10+9-2+6)/2 = 3/2✅

Columns from left to right

-2+17(1/2)-5 = (-4+17-10)/2 =3/2✅

(1/2)-3+(1/2)+(9/2)-2(1/2) = (1-6+1+9-2)/2 = 3/2✅

6+(1/2)-8+3 = (12+1-16+6)/2 = 3/2✅

Diagonals

-2+(1/2) +3 = (-4+1+6)/2 = 3/2✅

-5+(1/2)+6 = (-10+1+12)/2 = 3/2✅

3 0
2 years ago
Expand each logarithm. log 2 x³y⁻²
suter [353]

The expanded logarithm of log 2 x³y⁻²  is = log 3 + 3 log x - 2 log y.

What is a logarithmic function?

A logarithmic function in mathematics is defined as the function which is the inverse of the exponential function. It is denoted by using the word log. For example log 10 = 1

Expanding the given logarithm: log 2 x³y⁻²  

Given logarithmic expression is log 2 x³y⁻²  

Applying given properties of logarithmic function;

log a + log b = log (ab)

2 log a = log a^2

Now, log 2 x³y⁻² = log 3 + log x³ + log y⁻²

= log 3 + 3 log x - 2 log y

Hence, the expanded logarithm of log 2 x³y⁻²  is = log 3 + 3 log x - 2 log y.

To learn more about the logarithmic functions, visit here:

brainly.com/question/25710806

#SPJ4

7 0
1 year ago
Beth runs a catering business and needs 64 pints of water every day. She gets water in 2-gallon jugs. So, she gets jugs of water
luda_lava [24]
64 divided by 8 is 8.    8 pints fit in one gallon.  She carries 2 gallon jugs, so that's 16 pints.  So each day she carries 4 2 gallon jugs to meet her catering business demands.

6 0
3 years ago
Determine the slope intercept form of the linear equation x/2-y+6=0
luda_lava [24]

Answer:

General equation of a line:

y = mx + b

then express in that form:

\frac{x}{2}  - y + 6 = 0 \\ \\   - y =  -  \frac{x}{2}  - 6 \\  \\ { \boxed{ \boxed{y =  \frac{1}{2} x + 6}}}

4 0
3 years ago
How to change 7/10 to a percent
Ulleksa [173]

Answer:

70%

Step-by-step explanation:

since 7/10 is 0.7 as a decimal

you can then turn it into a percent by moving the decimal point two spots to the right

70 --> 70%

another way to do it is, to add zeros on both the numerator and denominator

then it is valued at 70/100

a percent is a number over 100

70 ---> 70%

your answer is 70%

hope this helps

7 0
2 years ago
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