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3 years ago

Find the measure of the missing angle.

Mathematics

1 answer:

rosijanka [135]3 years ago

8 0

Answer: 35 degrees

Step-by-step explanation:

A triangle always adds up to 180 degrees

? + 125 + 20 = 180

? + 145 = 180

? = 35

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the seventh grade class is raising money to have a class trip at the end of the year they began the year with $1500 now they hav

Novay_Z [31]

Answer:

10%

Step-by-step explanation:

(1650 - 1500) /1500 = 10%

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3 years ago

According to the Rational Root Theorem, which number is a potential root of f(x) = 9x8 + 9x6 – 12x + 7?

notsponge [240]

<u>Answer-</u>

$\boxed{\boxed{\frac{7}{3}}}$

<u>Solution-</u>

Rational Root Theorem-

$f(x)=a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}+.......+a_1x+a_0\ \ \ and\ a_n\neq 0$

All the potential rational roots are,

$=\pm (\dfrac{\text{factors of}\ a_0}{\text{factors of}\ a_n})$

The given polynomial is,

$f(x) = 9x^8 + 9x^6-12x + 7$

Here,

$a_n=9,\ a_0=7\\\\\text{factors of}\ 9=1,3,9\\\\\text{factors of}\ 7=1,7$

The potential rational roots are,

$=\pm \frac{1}{1},\pm \frac{1}{3}, \pm \frac{1}{9}, \pm \frac{7}{1}, \pm \frac{7}{3}, \pm \frac{7}{9}$

$=\pm 1,\pm \frac{1}{3}, \pm \frac{1}{9}, \pm 7, \pm \frac{7}{3}, \pm \frac{7}{9}$

From, the given options only $\frac{7}{3}$ satisfies.

6 0

3 years ago

Read 2 more answers

Ahmad rented a truck for one day. There was a base fee of $17.99, and there was an additional charge of 88 cents for each mile d

Masteriza [31]

Answer:

266 miles

Step-by-step explanation:

(244.09-17.99)/0.85=266

6 0

3 years ago

If the second term of a geometric sequence of real numbers is -2 and the fifth term is 16 then what is the fourteenth term?

Agata [3.3K]

<h3>Given</h3>

A geometric sequence such that ...

$a_2=-2\quad\text{and}\quad a_5=16$

$a_{14}$

<h3>Solution</h3>

We can use the ratio of the given terms to find the common ratio of the sequence, then use that to find the desired term from one of the given terms. We don't actually need the common ratio (-2). All we need is its cube (-8).

$a_2=a_1r^{(2-1)}=a_1r^1\\a_5=a_1r^{(5-1)}=a_1r^4\\a_{14}=a_1r^{(14-1)}=a_1r^13=a_5r^9\\\\\dfrac{a_5}{a_2}=\dfrac{a_1r^4}{a_1r^1}=r^3=\dfrac{16}{-2}=-8\\\\r^9=\left(r^3\right)^3=(-8)^3=-512\\a_{14}=a_5(-512)\\\\a_{14}=-8192$

7 0

3 years ago

What does y= 3x - 2 equal?<br><br><br>

cestrela7 [59]

THE ANSWER WOULD BE X=2/3

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3 years ago

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