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jasenka [17]
2 years ago
15

1/5= 6x and 1/3= 10x

Mathematics
2 answers:
Soloha48 [4]2 years ago
7 0

Answer:

Yes

Step-by-step explanation:

1/5 = 6x

1/6*1/5 = x

x = 1/6*5 = 1/30

1/3 = 10x

1/3*1/10 = x

x = 1/3*10 = 1/30

Lady bird [3.3K]2 years ago
4 0

Answer:

1/30

Step-by-step explanation:

1/5 = 6x ....divide both sides by 6

(1/5) / 6 = x

1/5 * 1/6 = x

1/30 = x

1/3 = 10x...divide both sides by 10

(1/3) / 10 = x

1/3 * 1/10 = x

1/30 = x

so x = 1/30

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BlackZzzverrR [31]

Answer:

\boxed{\sf a = 9 }

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

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\sf\longrightarrow 6x +ay -18 = 0

Step 1 : <u>Conver</u><u>t</u><u> </u><u>the </u><u>equations</u><u> in</u><u> </u><u>slope</u><u> intercept</u><u> form</u><u> </u><u>of</u><u> the</u><u> line</u><u> </u><u>.</u>

\sf\longrightarrow y = \dfrac{3x}{2} +\dfrac{ 7 }{2}

and ,

\sf\longrightarrow y = -\dfrac{6x }{a}+\dfrac{18}{a}

Step 2: <u>Find </u><u>the</u><u> </u><u>slope</u><u> of</u><u> the</u><u> </u><u>lines </u><u>:</u><u>-</u>

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

\sf\longrightarrow Slope_1 = \dfrac{3}{2}

And the slope of the second line is ,

\sf\longrightarrow Slope_2 =\dfrac{-6}{a}

Step 3: <u>Multiply</u><u> </u><u>the </u><u>slopes </u><u>:</u><u>-</u><u> </u>

\sf\longrightarrow \dfrac{3}{2}\times \dfrac{-6}{a}= -1

Multiply ,

\sf\longrightarrow \dfrac{-9}{a}= -1

Multiply both sides by a ,

\sf\longrightarrow (-1)a = -9

Divide both sides by -1 ,

\sf\longrightarrow \boxed{\blue{\sf a = 9 }}

<u>Hence </u><u>the</u><u> </u><u>value</u><u> of</u><u> a</u><u> </u><u>is </u><u>9</u><u> </u><u>.</u>

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Kamila [148]

Answer:

C. AAS

Step-by-step explanation:

they share 2 angles(A) you can tell by the markings and they share that one side

by this point you have 2 options left

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