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3 years ago

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An electrician charges $35 per hour plus a fixed amount for residential work. For a job that took 6 hours, he billed $270. Write

an equation in the form y = mx + b that represents the cost, c, of hiring this electrician for a job that takes x hours.

1 answer:

romanna [79]3 years ago

6 0

Mx + b =c I'm not sure if I needed to include taxes

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I need help its my homework and it's due today<br>Find the base angles.

MrRa [10]

Answer:

Each base angle would be 70°.

Step-by-step explanation:

<em>*</em><em>Base angles means the two equal angles formed on the base are called base angles.</em>

<em> </em><em>B</em><em>ase means the third unequal side of the triangle.</em><em> </em><em>*</em>

Given triangle is isosceles triangle.

The angle of vertex which is given is <u>40°</u>.

Let each base angle be <em>x</em>.

We know that,

<em>There are two base angles in a isosceles triangle</em>.

And, Sum of angles of triangle is 180° .

Therefore,

$\tt \implies \: x + x + 40 {}^{ \circ} = 180 {}^\circ$

Now Solve For <em>x</em>. That would be the solution.

Steps:

<u>Combine like terms:</u>

$\tt \implies2x + 40{}^{ \circ} = 180{}^{ \circ}$

<u>Subtract 40 from both sides:</u>

$\tt \implies2x + 40{}^{ \circ} - 40 = 180{}^{ \circ} - 40{}^{ \circ}$

<u>Simplify </u><u>the</u><u> </u><u>LHS </u><u>and </u><u>RHS</u><u>:</u>

$\tt \implies2x + 0 = 140{}^{ \circ}$

$\tt \implies2x = 140 {}^{ \circ}$

<u>Divide both sides by 2:</u>

$\tt \implies \cfrac{2x}{2} = \cfrac{140{}^{ \circ} }{2{}^{ \circ} }$

<u>Use cancellation method and cancel LHS and RHS:</u>

$\tt \implies \cfrac{ \cancel2x}{ \cancel2} = \cfrac{ \cancel{140^{ \circ}} }{ \cancel{2{}^{ \circ} }}$

$\tt \implies \cfrac{1x}{1} = \cfrac{70{}^{ \circ} }{1{}^{ \circ} }$

$\tt \implies{1x} = {70}^{ \circ}$

$\tt \implies{x} = 70{}^{ \circ}$

Hence, each base angle would be 70°.

<u>Verification</u>:

As we know that sum of angles of triangle is 180°.

So,

$\tt \implies \: Base \: angle + other \: base \: angle + vertex \: angle= 180{}^{ \circ}$

We got that one base angles of the given isosceles triangle is 70° and other is 70°, and the vertex angle is 40°[Given].

$\tt \implies70{}^{ \circ} + 70{}^{ \circ} + 40{}^{ \circ} = 180{}^{ \circ}$

<u>Solve it.</u>

$\tt \implies140{}^{ \circ} + 40{}^{ \circ} = 180{}^{ \circ}$

$\tt \implies180{}^{ \circ} = 180{}^{ \circ}$

$\tt \: LHS = RHS$

$\star \sf \: Hence, Verified.$

$\rule{225pt}{2pt}$

I hope this helps!

Let me know if you have any questions.

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2 years ago

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suppose the probability that your mail is delivered before 2 pm is .90. what is the probability that your mail will be delivered

zhenek [66]

I'm not completely sure on this but my guess would be 45% probability.

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4 years ago

Determine and state the vertex of f(x) = x2 - 2x - 8 using the method of completing the square

Elza [17]

Answer:

vertex = (1, - 9 )

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Given

f(x) = x² - 2x - 8

To complete the square

add/ subtract ( half the coefficient of the x- term )² to x² - 2x

f(x) = x² + 2(- 1)x + 1 - 1 - 8

= (x - 1)² - 9 ← in vertex form

with vertex = (1, - 9 )

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What is the integer for -22 + (-16) =

natka813 [3]

Answer:

-38

Step-by-step explanation:

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It is 20 minutes before 8:00 in the morning. What time is this?

saveliy_v [14]

7:40 am because you subtract 8:00 by :20

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