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3 years ago

Find the value of x.

Mathematics

1 answer:

Andrej [43]3 years ago

6 0

Answer: 30 I think

Step-by-step explanation:

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Can someone help me solve for y and x and find out the angles of all the angles visable

amm1812

Answer:

x = 10 , y = 15

Step-by-step explanation:

8x - 10 and 7x are alternate angles and are congruent , then

8x - 10 = 7x ( subtract 7x from both sides )

x - 10 = 0 ( add 10 to both sides )

x = 10

Then

8x - 10 = 8(10) - 10 = 80 - 10 = 70

6y + 20 and 8x - 10 are same- side interior angles and sum to 180°, that is

6y + 20 + 70 = 180

6y + 90 = 180 ( subtract 90 from both sides )

6y = 90 ( divide both sides by 6 )

y = 15

7 0

2 years ago

What is the answer to 5/8 . 2/7 and what does the dot stand for the dot is actually a little higher

Illusion [34]

First, the dot stands for the "product". You have to multiply.

5/8* 2/7
= [5/ (2*4)]* (2/7)
= 5/4* 1/7 (because 2 and 2 cancel out)
= (5*1)/ (4*7)
= 5/28

The final answer is 5/28~

6 0

4 years ago

Read 2 more answers

How do you find a vector that is orthogonal to 5i + 12j ?

Rashid [163]

$\bf \textit{perpendicular, negative-reciprocal slope for slope}\quad \cfrac{a}{b}\\\\
slope=\cfrac{a}{{{ b}}}\qquad negative\implies -\cfrac{a}{{{ b}}}\qquad reciprocal\implies - \cfrac{{{ b}}}{a}\\\\
-------------------------------\\\\$

$\bf \boxed{5i+12j}\implies 
\begin{array}{rllll}
\ \textless \ 5&,&12\ \textgreater \ \\
x&&y
\end{array}\quad slope=\cfrac{y}{x}\implies \cfrac{12}{5}
\\\\\\
slope=\cfrac{12}{{{ 5}}}\qquad negative\implies -\cfrac{12}{{{ 5}}}\qquad reciprocal\implies - \cfrac{{{ 5}}}{12}
\\\\\\
\ \textless \ 12, -5\ \textgreater \ \ or\ \ \textless \ -12,5\ \textgreater \ \implies \boxed{12i-5j\ or\ -12i+5j}$

if we were to place <5, 12> in standard position, so it'd be originating from 0,0, then the rise is 12 and the run is 5.

so any other vector that has a negative reciprocal slope to it, will then be perpendicular or "orthogonal" to it.

so... for example a parallel to <-12, 5> is say hmmm < -144, 60>, if you simplify that fraction, you'd end up with <-12, 5>, since all we did was multiply both coordinates by 12.

or using a unit vector for those above, then

$\bf \textit{unit vector}\qquad \cfrac{\ \textless \ a,b\ \textgreater \ }{||\ \textless \ a,b\ \textgreater \ ||}\implies \cfrac{\ \textless \ a,b\ \textgreater \ }{\sqrt{a^2+b^2}}\implies \cfrac{a}{\sqrt{a^2+b^2}},\cfrac{b}{\sqrt{a^2+b^2}}
\\\\\\
\cfrac{12,-5}{\sqrt{12^2+5^2}}\implies \cfrac{12,-5}{13}\implies \boxed{\cfrac{12}{13}\ ,\ \cfrac{-5}{13}}
\\\\\\
\cfrac{-12,5}{\sqrt{12^2+5^2}}\implies \cfrac{-12,5}{13}\implies \boxed{\cfrac{-12}{13}\ ,\ \cfrac{5}{13}}$

4 0

3 years ago

Next in sequence 9/16, -9/8, 9/4, -9/2, 9, ?

Fudgin [204]

Answer:

-18

Step-by-step explanation:

*2, *(-2), *2, *(-2) ...

5 0

3 years ago

Every year, roughly 25,000,000 kg of hair is cut in the United States. Each kilogram of hair contains about 0.0002 kg of zinc, a

Nesterboy [21]

$20,000

25,000,000 x 0.0002 = 5,000

5,000 x $4.00= $20,000

4 0

3 years ago