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3 years ago

Solve for x in the diagram below.

Mathematics

2 answers:

max2010maxim [7]3 years ago

6 0

1: Identify the angle.

The following angle is a 90.

2: Set up the equation.

x + (3x + 10) = 90

3: Combine like terms.

4x + 10 = 90

4: Solve for x.

4x + 10 = 90

-10 = - 10

--------------------------

4x = 80

------------------

4 4

x = 20

Your answer is x = 20.

Hope this helps! Have a good day/night! c:

Nonamiya [84]3 years ago

3 0

Add all the similar terms
4x+10 = 90
4x = 90 -10
4x = 80
80/4= 20
x = 20

Then substitute x = 20 in to make sure it’s right (:
it is thought so don’t worry (:

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Please be neat will mark brain

lubasha [3.4K]

Answer:

1) $65\textdegree$

2) $44\textdegree$

3) $107\textdegree$

4) $82\textdegree$

Step-by-step explanation:

1) Since the whole angle is $180\textdegree$ , and to find the other angle, which is labeled as $x$ , you subtract $115\textdegree$ from $180\textdegree$ :

$180 - 115 = 65$

$x = 65\textdegree$

2) Since you already have two angle measures $46\textdegree$ and $90\textdegree$ , you add them up and subtract it from $180\textdegree$ to get the angle measure for $x$ :

$46 + 90 = 136$

$180 - 136 = 44$

$x = 44\textdegree$

3) Same thing from number 1. Subtract $73\textdegree$ from $180\textdegree$ :

$180 - 73 = 107$

$x = 107\textdegree$

4) Same thing from number 2. Add $52\textdegree$ and $46\textdegree$ and subtract it from $180\textdegree$ :

$52 + 46 = 98$

$180 - 98 = 82$

$x = 82\textdegree$

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3 years ago

A professional basketball player can score 3 more than 4 times as many points per game as an average person. Which expression co

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4 years ago

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Explain how the Quotient of Powers Property was used to simplify this expression.

Strike441 [17]

Answer:

$\frac{5^{4}}{25} = 25$

Step-by-step explanation:

I'm not sure if you had a typographical error with this statement, "5 to the fourth power, over 25 = 52."

According to the Quotient Rule of Exponents:

$\frac{a^{m}}{a^{n}} = a^{(m-n)}$

Method 1:

In order for you apply the Quotient Rule, the base must be the same. Since 5 is a factor of 25, then you could rewrite 25 as 5². Doing so will give you the following exponential expression:

$\frac{5^{4}}{5^{2}} = 5^{(4 - 2)} = 5^{2} = 25$