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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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Step-by-step explanation:

$= (x + y)(x + 6y)$

$= x \times x + x \times 6y + y \times x + y \times 6y$

$= {x}^{2} + 6xy + xy + 6 {y}^{2}$

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2 years ago

You and a friend play a game where you each toss a balanced coin. If the upper faces on the coins are both tails, you win $1; if

dsp73

Answer:

Step-by-step explanation:

Given that you and a friend play a game where you each toss a balanced coin.

If the upper faces on the coins are both tails, you win $1;

if the faces are both heads, you win $2;

if the coins do not match (one shows a head, the other a tail), you lose $1 (win (−$1)).

Let Y be the amount won

Then Y can take values as 1,2 and -1

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The above is the probability distribution for Y.

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4 years ago

Karina is creating two pyramids with the nets below using construction paper. In both nets, all of the triangular faces of the p

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Answer:

144 sq in

Step-by-step explanation:

Face height=9, bases=6 in

#Assume the pyramid has a square base.

First we need to calculate the perpendicular height of the pyramid:

$#Pythagorean \ Theorem\\a^2+b^2=c^2\\9^2-(0.5\times 6)^2=h^2\\72=h^2\\h=\sqrt{72} \ in$

Now to find the surface area of each pyramid:

$A=lw+l\sqrt{(w/2)^2+h^2}+w\sqrt{(l/w)^2+h^2}\\\\\#w=l=6,h=\sqrt{72}\\\\A=6^2+6\sqrt{(6/2)^2+72}+6\sqrt{(6/6)^2+72}\\\\A\approx 144\ sq \ in$

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3 years ago

A bundled computer package costs $760.50. There is an 8 percent convenience fee for assembling the package. How much will the co

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So we need to find 8% of 760.50 then add it to the original cost of the computer package.
To find 8%, multiply like what is below.

$760.50 × .08 = 60.84
$60.84 is 8% of $760.50
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Answer: $821.34

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3 years ago

Tarinda's corn plant was 7- 1/3 inches tall at the end of Week 1. The corn plant was 18 1/2 inches tall at the end of Week 2. Ho

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Answer:

The corn plant grew by 11.17 inches during week 2.

Step-by-step explanation:

7 and 1/3 inches tall at the end of Week 1.

The height at the end of week 1, as a simple fraction, is:

$7 + \frac{1}{3} = \frac{3*7 + 1}{3} = \frac{22}{3}$

The corn plant was 18 1/2 inches tall at the end of Week 2.

At the end of week 2, the height will be of:

$18 + \frac{1}{2} = \frac{18*2+1}{2} = \frac{37}{2}$

How many inches did the corn plant grow during Week 2?

Height at the end of week 2 subtracted by the height at the end of week 1. So

$\frac{37}{2} - \frac{22}{3} = \frac{3*37-2*22}{6} = \frac{67}{6} = 11.17$

The corn plant grew by 11.17 inches during week 2.

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