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GarryVolchara [31]
1 year ago
10

What value of x would make lines land m parallel?5050°t55°75xº55m105

Mathematics
1 answer:
UkoKoshka [18]1 year ago
3 0

If l and m are parallel, then ∠1 must measure 55°.

The addition of the angles of a triangle is equal to 180°, in consequence,

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Solve 12^x^2+5x-4 = 12^2x+6
faust18 [17]

The solutions for ‘x’ are 2 and -5

<u>Step-by-step explanation:</u>

Given equation:

                    12^{x^{2}+5 x-4}=12^{2 x+6}

Since the base on both sides as ‘12’ are the same, we can write it as

                     x^{2}+5 x-4=2 x+6

                     x^{2}+5 x-2 x-4-6=0

                     x^{2}+3 x-10=0

Often, the value of x is easiest to solve by a x^{2}+b x+c=0 by factoring a square factor, setting each factor to zero, and then isolating each factor. Whereas sometimes the equation is too awkward or doesn't matter at all, or you just don't feel like factoring.

<u>The Quadratic Formula:</u> For a x^{2}+b x+c=0, the values of x which are the solutions of the equation are given by:

                       x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}

Where, a = 1, b = 3 and c = -10

                       x=\frac{-3 \pm \sqrt{(-3)^{2}-4(1)(-10)}}{2(1)}

                       x=\frac{-3 \pm \sqrt{9+40}}{2}

                       x=\frac{-3 \pm \sqrt{49}}{2}=\frac{-3 \pm 7}{2}

So, the solutions for ‘x’ are

                       x=\frac{-3+7}{2}=\frac{4}{2}=2

                       x=\frac{-3-7}{2}=\frac{-10}{2}=-5

The solutions for ‘x’ are 2 and -5

6 0
3 years ago
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Morgarella [4.7K]

Answer:

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6 0
3 years ago
If f(x)=5x0+4x-3 then f(a)=
Bingel [31]

Answer:

f=

1

/4

y+

−1

/2

Step-by-step explanation:

Let's solve for f.

y=5x^0+4x−3

Step 1: Flip the equation.

4x+2=y

Step 2: Add -2 to both sides.

4x+2+−2=y+−2

4x=y−2

Step 3: Divide both sides by 4.

4x

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y−2

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x=

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y+

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=f=

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y+

−1

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3 years ago
Amanda is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices. Co
Tema [17]

Answer:

For mileages higher than 80 miles Company A  will charge less than Company B

Step-by-step explanation:

Hi, to answer this question we have to write an inequality:

Company A charges $111 and allows unlimited mileage.

Company A =111

Company B has an initial fee of $55 and charges an additional $0.70 for every mile driven

Company B = 55+0.70m

Where m is the number of miles.

Company A has to charge less than Company B

a<b

111 < 55+0.70m

Solving for m

111-55 < 0.70 m

56 < 0.70m

56/0.70 < m

80 < m  

For mileages higher than 80 miles Company A will charge less than Company B

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3 years ago
Find the value of x in each case. Give reasons to justify your solutions!
ANEK [815]

Answer:

  x = 11°

Step-by-step explanation:

The parallel lines suggest we look to the relationships involving angles and transversals. The angle marked 33° and ∠CAB are alternate interior angles, hence congruent:

  ∠CAB = 33°

5x is the measure of the external angle opposite that internal angle and angle 2x of ΔABC, so it is equal to their sum:

  5x = 2x + 33°

  3x = 33° . . . . . . . . . subtract 2x

  x = 11° . . . . . . . . . . . divide by 3

6 0
3 years ago
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