two angles of a triangle measure 36° and 102°. one of the sides formed by the 36° angle is 9 inches long. determine whether the given conditions determine a unique triangle of more than one triangle. justify your answers.

Answers

Answer 1

Answer: Yes Because there aremultiple place for the 102 degrees angle

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Which expression are a factor of -48xyz - 24xy + 40xyzA. 4B. 24C. 3xD. 8yE. 2xyF. 6xyG. xyz

Answers

-48xyz + 40xyz = -8xyz

-24xy - 8xyz = -8xy (3 + z)

so the answer is 2xy

What is the amount of sales tax on a $48 backpack if the sales tax rate is 6%?

Answers

Answer: 2.88

Step-by-step explanation:

48 x 0.06 = 2.88 and thats how much tax you will pay!!

1.Find the exact solution to the equation.(2 points)

log base four of x equals two.

Answers

Answer:

x = 16

Step-by-step explanation:

The equation is $\log_(4) x = 2$

Now, converting this logarithmic equation into exponential equation, we get

$x = 4^(2) = 16$ (Answer)

Alternate solution:

Given, $\log_(4) x = 2$

⇒ $\log_(4)x = 2\log_(4)4$

{Since, we know that $\log_(a)a = 1$ }

⇒ $\log_(4)x = \log_(4)4^(2) = \log_(4)16$

{Since, $a\log b = \log b^(a)$ is a property of logarithm}

Cancelling log from both sides we get,

⇒ x = 16 (Answer)

Answer:

$x = 8^4$

Step-by-step explanation:

hey there,

< Here is what is given:

㏒ $_(8) x=4$

There's actually a lot of different ways you can remember this but the way I remember this is x is equal to 2nd to the power of last.

So 8 is the 2nd (since log is first), 4 is last (very last thing in the equation).

x = 8^4

You can use any of your own ways to remember this, but this is just my personal way. :) >

Hope this helped! Feel free to ask anything else.

Write an equivalent expression for 60 + 45

Answers

$60 + 45 = 105$

and so examples of equivalent expressions can be:

$100 + 5$
or
$200 - 95$
or
$(5)/(1) + 10^(2)$

$60+45=60+(40+5)=(60+40)+5=100+5=105\n\nan\ equivalent\ expression:\n\n25+80=105\n\n104+1=105\n\n200-95=105\n\n210:2=105\n\n10+20+40+35=105\n\n2\cdot50+5=100+5=105\n\n110-5=105$

$1050:10=105\n\n20\cdot6-15=120-15=105\n\n\vdots$

A map has a scale of 1 inch: 4 miles.A. You measure 3 inches between your house and the movie theater. How many miles is it from your house to the movie theater?

B. It is 17 miles to the mall. How many inches is that on the map?

Answers

A.
so 1in:4miles
3in:3 times 4 or 12 miles

B. so 17
1in:4
2in:8
3in:12
4in:16
5in:18
so 4.5in:17

A. 12 miles because you multiply 4 and 3. B. 4 1/4

Compare and contrast tax and discount.

Answers

Tax is adding to what your pay is and discount is reducing the price of the thing your buying.That is what is diffrent about it.One is adding and one is subtracting.I don't know whats the same, this is just contrasting.

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