All categories

4 years ago

For what value of x does mz1 = 90° ? 100° x + 10)

Mathematics

1 answer:

sp2606 [1]4 years ago

3 0

Answer:

You can solve this with common sense, but I'll do it for you and read my explanation before you demand an answer.

Step-by-step explanation:

When you look at a right angle, one forms 90°

A square has 4 sides, each should measure 90°.

That is how we know that point C measures 90°.

Now let's solve for x.

100+(x+10)+90°=90°

Solve the equation:

100+x+10+90=90

Step 1 : Solve for both sides.

100+x+10+90=90

(x)+(100+10+90)=90 ADD LIKE TERMS!

x+200=90

Step 2: Subtract 200 from both sides so you can make them equal.

x+200−200=90−200

x=−110

So, we get that x=-110. So the blank side should measure 90 degrees.

You might be interested in

Three friends jogged last month. Richard jogged 9 miles last month. Jenna jogged 2 times as many as Richard. Brian jogged 4 time

gavmur [86]

Answer:

richard = 9

jenna = 9x2, jenna = 18

brian = 9x4 brian = 36

7 0

4 years ago

Read 2 more answers

The box-and-whisker plots below show the numbers of motor vehicles produced in four different regions for selected years since 1

suter [353]

Pretty sure it’s Europe because it’s between 13 and 17.5 million vehicles, it might be Japan but pretty sure it’s europe

6 0

3 years ago

Read 2 more answers

Ah! Okay, need help solving 14, and just checking for 16 and 4.

Allisa [31]

4. Correct. You also could have used the limit test for divergence for the same conclusion (the summand approaches infinity).

- - -

14. I'm guessing the instructions are the same as for 16. Rewrite as

$f(x)=\dfrac4{2x+3}=\dfrac{\frac43}{1-\left(-\frac{2x}3\right)}$

Now recall that for $|x|$ , we have

$\dfrac1{1-x}=\displaystyle\sum_{n\ge0}x^n$

so that for this function, we get

$f(x)=\dfrac43\displaystyle\sum_{n\ge0}\left(-\frac{2x}3\right)^n$

Because this is a geometric sum, this converges when $\left|-\dfrac{2x}3\right|$ , or $|x|$ . This would be the interval of convergence.

Your hunch about checking the endpoints is correct. Checking is easy in this case, because at the endpoints (-3/2 and 3/2) the series obviously diverges.

- - -

16. This one is kind of tricky, and there's more than one way to do it. The standard method would be to take the antiderivative:

$F(x)=\displaystyle\int f(x)\,\mathrm dx=\int\frac{\mathrm dx}{(1+x)^2}=-\frac1{1+x}+C$

We also have

$\displaystyle-\frac1{1+x}=-\frac1{1-(-x)}=-\sum_{n\ge0}(-x)^n\implies F(x)=C-1-\sum_{n\ge1}(-x)^n$

and differentiating this gives

$f(x)=-\displaystyle\sum_{n\ge1}n(-x)^{n-1}=-\sum_{n\ge0}(n+1)(-x)^n=\sum_{n\ge0}(n+1)(-1)^{n+1}x^n$

By the ratio test, this converges when

$\displaystyle\lim_{n\to\infty}\left|\frac{(n+2)(-1)^{n+2}x^{n+1}}{(n+1)(-1)^{n+1}x^n}\right|$

The limit reduces to

$\displaystyle|x|\lim_{n\to\infty}\frac{n+2}{n+1}=|x|$

and so the series converges absolutely for $|x|$ . Checking the endpoints is also easy in this case. The factor of $n+1$ is a clear sign that the series will diverge at either extreme.

7 0

3 years ago

Need help ASAP plzzzzzzzz

rusak2 [61]

The second option. Consecutive interior

6 0

3 years ago

Three candidates are running for the office of Grand Satrapy of Vorania. The third- and second-place candidates received $28$ an

alexira [117]

Elaborate what do the symbols stand for pmme if you need more help.

4 0

3 years ago