All categories

3 years ago

90 degrees + 5x + x needs to equal 180 degrees cant figure out the variables though

1 answer:

4 0

X=15
90 + 5(15) + 15 = 180
90 + 75 + 15 = 180
180 = 180

To get 15, I added up the the x's (which was 6 total), and divided 90 by them.

90/6 = 15

Then you just fill them into the equation.

Have a superb day!

You might be interested in

1/2(x+10)= 1/4 (x-8) x= <br> (must be a fraction)

Alex_Xolod [135]

Answer:

$x=-9\frac{1}{3}$

Step-by-step explanation:

$\frac{1}{2}(x+10)=\frac{1}{4}(x-8)$

$\frac{1}{2}x+5=\frac{1}{4}x-2$

$\frac{1}{2}x-\frac{1}{4}x=-5-2$

$\frac{3}{4}x=-7$

$x=-\frac{28}{3}=-9\frac{1}{3}$

5 0

3 years ago

Please Help! Solve the equation for x.

SOVA2 [1]

Answer:

Step-by-step explanation:

Given

$\frac{1}{3}$ x - 8 = - 12 ( multiply through by 3 to clear the fraction )

x - 24 = - 36 ( add 24 to both sides )

x = - 12 → A

6 0

3 years ago

The sum of first three terms of a finite geometric series is -7/10 and their product is -1/125. [Hint: Use a/r, a, and ar to rep

Alchen [17]

Ooh, fun

geometric sequences can be represented as
$a_n=a(r)^{n-1}$
so the first 3 terms are
$a_1=a$
$a_2=a(r)$
$a_2=a(r)^2$

the sum is -7/10
$\frac{-7}{10}=a+ar+ar^2$
and their product is -1/125
$\frac{-1}{125}=(a)(ar)(ar^2)=a^3r^3=(ar)^3$

from the 2nd equation we can take the cube root of both sides to get
$\frac{-1}{5}=ar$
note that a=ar/r and ar²=(ar)r
so now rewrite 1st equation as
$\frac{-7}{10}=\frac{ar}{r}+ar+(ar)r$
subsituting -1/5 for ar
$\frac{-7}{10}=\frac{\frac{-1}{5}}{r}+\frac{-1}{5}+(\frac{-1}{5})r$
which simplifies to
$\frac{-7}{10}=\frac{-1}{5r}+\frac{-1}{5}+\frac{-r}{5}$
multiply both sides by 10r
-7r=-2-2r-2r²
add (2r²+2r+2) to both sides
2r²-5r+2=0
solve using quadratic formula
for $ax^2+bx+c=0$
$x=\frac{-b \pm \sqrt{b^2-4ac}}{2a}$
so
for 2r²-5r+2=0
a=2
b=-5
c=2

$r=\frac{-(-5) \pm \sqrt{(-5)^2-4(2)(2)}}{2(2)}$
$r=\frac{5 \pm \sqrt{25-16}}{4}$
$r=\frac{5 \pm \sqrt{9}}{4}$
$r=\frac{5 \pm 3}{4}$
so
$r=\frac{5+3}{4}=\frac{8}{4}=2$ or $r=\frac{5-3}{4}=\frac{2}{4}=\frac{1}{2}$

use them to solve for the value of a
$\frac{-1}{5}=ar$
$\frac{-1}{5r}=a$
try for r=2 and 1/2
$a=\frac{-1}{10}$ or $a=\frac{-2}{5}$

test each
for a=-1/10 and r=2
a+ar+ar²= $\frac{-1}{10}+\frac{-2}{10}+\frac{-4}{10}=\frac{-7}{10}$
it works

for a=-2/5 and r=1/2
a+ar+ar²= $\frac{-2}{5}+\frac{-1}{5}+\frac{-1}{10}=\frac{-7}{10}$
it works

both have the same terms but one is simplified

the 3 numbers are $\frac{-2}{5}$ , $\frac{-1}{5}$ , and $\frac{-1}{10}$

6 0

3 years ago

Which one is correct? Please hurry <3

Levart [38]

First one (20 characters) hope this helped

4 0

3 years ago

Read 2 more answers

What is 456% as decimal

aleksandrvk [35]

Answer:

4.56