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3 years ago

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.

Mathematics

1 answer:

Klio2033 [76]3 years ago

4 0

Answer:

Solve for each for X.

Step-by-step explanation:

A. 7+2ax=13

1a. Subtract 7 from both sides, 2ax=6

2a. Divide both sides by 2, ax=3

3a. Divide both sides by a, x=3/a

B. -ax-20=-14

1b. flip the signs, ax+20=14

2b. subtract 20 on both sides, ax=-6

3b. divide both sides by a, x=-6/a

C. 4= (6/a)x+5

1c. Multiply both sides by a, 4a=6x+5a

2c. Subtract 5a from both sides, -a=6x

3c. Divide both sides by -1, a=-6x

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One angle within a triangle is 76 degrees. What is the value of the exterior angle?

mrs_skeptik [129]

Answer:

The value of the exterior angle is $104\°$

Step-by-step explanation:

we know that

The sum of the interior angle plus the exterior angle is equal to $180\°$ , because are supplementary angles.

Let

x-----> the measure of the exterior angle

$76\°+x=180\°$

solve for x

$x=180\°-76\°=104\°$

4 0

3 years ago

What is the equation of the line that is perpendicular to the given line and passes through the point (3, 0)?

olga2289 [7]

Step $1$

Find the slope of the given line

Let

$A(-3,2)\ B(2,-1)$

slope mAB is equal to

$mAB=\frac{(y2-y1)}{(x2-x1)} \\ \\ mAB=\frac{(-1-2)}{(2+3)} \\ \\ mAB=-\frac{3}{5}$

Step $2$

Find the slope of the line that is perpendicular to the given line

Let

CD ------> the line that is perpendicular to the given line

we know that

If two lines are perpendicular, then the product of their slopes is equal to $-1$

$mAB*mCD=-1\\ mAB=-\frac{3}{5} \\ mCD=-\frac{1}{mAB} \\ mCD=\frac{5}{3}$

Step $3$

Find the equation of the line with mCD and the point (3,0)

we know that

the equation of the line in the form point-slope is equal to

$y-y1=m(x-x1)\\\\ y-0=\frac{5}{3} *(x-3)\\\\ y=\frac{5}{3} x-5$

Multiply by $3$ both sides

$3y=5x-15$

$5x-3y=15$

therefore

the answer is

the equation of the line that is perpendicular to the given line is the equation $5x-3y=15$

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2 years ago

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2 dived by 440 eplain please

dimulka [17.4K]

2/440 Original Mathematical Expression.

1/220 Divide numerator and denominator by 2.

This equals . . .

0.004545454545 repeating

(I just plugged 1/220 into calculator)

Final Answer: 1/220 or 0.004545454545 repeating

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2 years ago

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solong [7]

The answer is 3697/4787

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2 years ago

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Approximately how many kcal are contained in 3 ounces of 80-proof rum?

Mekhanik [1.2K]

3 ounces of 80-proof rum approximately contains 200,000 cal.

Now, we need to convert the cal into kcal. We know that:
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Therefore,
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2 years ago