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3 years ago

What is the value of x?

Mathematics

2 answers:

Alexxandr [17]3 years ago

6 0

These are vertical angles, so they are equal in measurements.

First, simplify [2(x + 10)]

Distribute 2 to all terms within the parenthesis

2(x + 10) = 2x + 20

Next, place both expressions equal to each other

2x + 20 = 3x - 30

Solve for x. Isolate the variable. Subtract 3x and 20 from both sides

2x (-3x) + 20 (-20) = 3x (-3x) - 30 (-20)

2x - 3x = -30 - 20

Simplify

-x = -50

Isolate the x. Divide -1 from both sides

-x/-1 = -50/-1

x = 50

50 is your answer for x

hope this helps

nignag [31]3 years ago

6 0

So these two angles are vertical angles, which are two angles across from each other that are formed by two lines intersecting. Vertical Angles are also congruent to each other.

With this information, we can set up the equation as $2(x+10)=3x-30$ . From here we can solve for x.

Firstly, foil 2(x + 10): $2x+20=3x-30$

Next, subtract 2x on both sides of the equation: $20=x-30$

Lastly, add 30 to both sides of the equation and your answer will be $50=x$ 

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What is 12.345 rounded to the nearest tenth

noname [10]

Rounding to the nearest tenth means rounding to the decimal place directly to the right of the decimal.

The rules of rounding are fairly simple. If the number to the right of the number you are rounding is greater than or equal to 5, you round up. If the number to the right is less than 5, you round down.

Let's take a look at the number 12.345.
First, round to the hundredths place. The number right before the 4 is 5, so we round up. This gives us the number 12.35.
Next, we have to round to the tenths place. The number to the right of the 3 is 5, so we round up as well. This gives us the number 12.4.

Answer: 12.4

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3 years ago

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What is the 11th term of the sequence: 7, 13, 19, 25, ....

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3 years ago

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Keenan will run 2.5 miles from his house to Jared’s house. He plans to hang out for 45 minutes before walking home. If he can ru

jenyasd209 [6]

Answer:

Kennan will be from home approximately an hour and 48 minutes.

Step-by-step explanation:

We must know that total time ( $t_{T}$ ) that Keenan will be from home is the sum of run ( $t_{R}$ ), hang out ( $t_{H}$ ) and walk times ( $t_{W}$ ), measured in hours:

$t_{T} = t_{R}+t_{H}+t_{W}$

If Keenan runs and walks at constant speed, then equation above can be expanded:

$t_{T} = \frac{x_{R}}{v_{R}}+t_{H}+ \frac{x_{W}}{v_{W}}$

Where:

$x_{R}$ , $x_{W}$ - Run and walk distances, measured in miles.

$v_{R}$ , $v_{W}$ - Run and walk speeds, measured in miles per hour.

Given that $x_{R}=x_{W} = 2.5\,mi$ , $v_{R} = 6\,\frac{mi}{h}$ , $v_{W} = 4\,\frac{mi}{h}$ and $t_{H} = 0.75\,h$ , the total time is:

$t_{T} = \frac{2.5\,mi}{6\,\frac{mi}{h} } + 0.75\,h+\frac{2.5\,mi}{4\,\frac{mi}{h} }$

$t_{T} = 1.792\,h$ ( $1\,h\,48\,m$ )

Kennan will be from home approximately an hour and 48 minutes.

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3 years ago

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Vladimir [108]

Where's the picture???? I'm confusedd

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2 years ago

A mixed number has a whole number part and a fractional part. O A. True O B. False

scoray [572]

Answer: True

Step-by-step explanation:

The statement that a mixed number has a whole number part and a fractional part is true.

The mixed number is made up of a whole number, and a proper fraction. A mixed number simply means a number that is between any two whole numbers. Examples of mixed numbers are 4¾, 7½ etc.

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