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3 years ago

I am trying to understand how to solve for X, then solve the equation

Mathematics

1 answer:

Alina [70]3 years ago

5 0

Answer:

x = 16

m<Y = 34°

Step-by-step explanation:

∆XYZ is an isosceles ∆. An isosceles ∆ has two equal sides, as well as the bases of the isosceles triangle are congruent. In this case, therefore:

<X = <Z

(6x - 23)° = (4x + 9)

Solve for x

6x - 23 = 4x + 9

Collect like terms

6x - 4x = 23 + 9

2x = 32

Divide both sides by 2

x = 16

m<Y = 180° - (m<X + m<Z) (sum of ∆)

m<Y = 180 - ((6x - 23) + (4x + 9))

Plug in the value of x

m<Y = 180 - ((6(16) - 23) + (4(16) + 9))

m<Y = 180 - (73 + 73)

m<Y = 34°

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andrezito [222]

Answer:

$y=0.2x+284$

Step-by-step explanation:

Let x be the distance driven, d-distance and C our constant.

Our information can be presented as:

$y=mx+c\\\\450=830x+C\ \ \ \ \ \ \ \ \ eqtn 1\\\\380=480x+C\ \ \ \ \ \ \ \ \ eqtn 2$

#Subtracting equation 2 from 1:

$70=350x\\x=0.2$

Hence the fixed cost per mile driven, $x$ is $0.20

To find the constant, $C$ we substitute $x$ in any of the equations:

$450=830x+C\ \ \ \ \ \ \ X=0.2\\\therefore C=450-830\times0.2\\=284$

Now, substituting our values in the linear equation:

$y=0.2x+284$ #y=cost of driving, x=distance driven

Hence the linear equation for the cost of driving is y+0.2x+284

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2 years ago

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snow_lady [41]

Answer:

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Step-by-step explanation:

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3 years ago

Whole number between 1 and 10, and then write its reciprocal.

Natasha_Volkova [10]

Answer:

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3 years ago

There were 724 zombies that attacked a player in Call of Duty. The player killed 65%. How many zombies did the player kill?

kvasek [131]

Answer:

470 zombies

Step-by-step explanation:

To find how many they killed, multiply 724 by 0.65

724(0.65)

= 470.6

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2 years ago

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natima [27]

Answer:

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Step-by-step explanation:

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