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4 years ago

8

What number goes on top?

1 answer:

Artemon [7]4 years ago

7 0

Answer:

33

Step-by-step explanation:

each upper cell is the sum of the two cells under it. For example 4 and 5 make 9 so 16+17=33

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Find the value of x. Then find the measure of each interior angle. Show work algebraically

OleMash [197]

Answer:

Step-by-step explanation:

W=180-144

W=36 degrees

The sum of angles in a triangle always sum to 180 degrees.

6x+1+7x+36=180

13x+37=180

13x=143

x=11

U=6x+1

U=6(11)+1=67 degrees

V=7x

V=7(11)=77 degrees so

x=11 degrees, U=67 degrees, V=77 degrees, and W=36 degrees.

3 0

3 years ago

Use elimination to solve the system of equations:

tatyana61 [14]

<span><span><span><span>2x</span>+<span>3y</span></span>=1</span>;<span><span>x+<span>4y</span></span>=<span>−2

</span></span></span>Steps:

<span>Multiply the second equation by -2, then add the equations together.

</span><span>(<span><span><span>2x</span>+<span>3y</span></span>=1</span>)

</span><span><span>−2</span><span>(<span><span>x+<span>4y</span></span>=<span>−2</span></span>)

</span></span>Becomes:

<span><span><span>2x</span>+<span>3y</span></span>=1

</span><span><span><span>−<span>2x</span></span>−<span>8y</span></span>=4

</span>Add these equations to eliminate x:

<span><span>−<span>5y</span></span>=5

</span>Then solve<span><span>−<span>5y</span></span>=5</span>for y:

<span><span><span>−<span>5y</span></span><span>−5</span></span>=<span>5<span>−5</span></span></span>(Divide both sides by -5)

<span>y=<span>−1

</span></span>Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

<span><span><span>2x</span>+<span>3y</span></span>=1

</span>Substitute<span>−1</span>foryin<span><span><span><span>2x</span>+<span>3y</span></span>=1</span>:

</span><span><span><span>2x</span>+<span><span>(3)</span><span>(<span>−1</span>)</span></span></span>=1

</span><span><span><span>2x</span>−3</span>=1</span>(Simplify both sides of the equation)

<span><span><span><span>2x</span>−3</span>+3</span>=<span>1+3</span></span>(Add 3 to both sides)

<span><span>2x</span>=4

</span><span><span><span>2x</span>2</span>=<span>42</span></span>(Divide both sides by 2)

<span>x=2

</span>Answer:

<span><span>x=<span><span>2<span> and </span></span>y</span></span>=<span>−<span>1

</span></span></span>

7 0

3 years ago

What is the median of this set of data?<br> 100, 102, 103, 106, 109

rodikova [14]

Answer:103

Step-by-step explanation:

100,102,103,106,109

There median is the middle number which is 103

5 0

3 years ago

Read 2 more answers

What is the volume of a sphere with a radius of 9 inches?

emmasim [6.3K]

The volume of the sphere with a radius of 9 will be

v≈3053.63

8 0

4 years ago

Read 2 more answers

How do you use the limit comparison test on this particular series?<br>Calculus series tests

barxatty [35]

Compare $\dfrac1{\sqrt{n^2+1}}$ to $\dfrac1{\sqrt{n^2}}=\dfrac1n$ . Then in applying the LCT, we have

$\displaystyle\lim_{n\to\infty}\left|\frac{\frac1{\sqrt{n^2+1}}}{\frac1n}\right|=\lim_{n\to\infty}\frac n{\sqrt{n^2+1}}=1$

Because this limit is finite, both

$\displaystyle\sum_{n=1}^\infty\frac1{\sqrt{n^2+1}}$

and

$\displaystyle\sum_{n=1}^\infty\frac1n$

behave the same way. The second series diverges, so

$\displaystyle\sum_{n=0}^\infty\frac1{\sqrt{n^2+1}}=1+\sum_{n=1}^\infty\frac1n$

is divergent.

4 0

4 years ago