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labwork [276]
2 years ago
10

I need help, ive been trying

Mathematics
1 answer:
Mrac [35]2 years ago
7 0

The figure is a right triangle so we can use the Pythagorean theorem to find the third side AKA the hypotenuse.

Pythagorean theorem = a² + b² = c² where A and B are the legs of the triangle and C is the hypotenuse.

39² + 80² = c²

169 + 6400 = c²

6569 = c²

Square root both sides to cancel out the squared variable.

√6569 = √(c²)

√6569 = c

The third side, the hypotenuse, is √6569 units long.

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In the figure above line m is parallel to line n.
enot [183]

<u>Given</u>:

Line m is parallel to line n.

The measure of ∠1 is (4x + 15)°

The measure of ∠2 is (9x + 35)°

We need to determine the measure of ∠1

<u>Value of x:</u>

From the figure, it is obvious that ∠1 and ∠2 are linear pairs.

Thus, we have;

\angle 1+\angle 2=180^{\circ}

Substituting the measures of ∠1 and ∠2, we get;

4x+15+9x+35=180

             13x+50=180

                     13x=130

                        x=10

Thus, the value of x is 10.

<u>Measure of ∠1:</u>

The measure of ∠1 can be determined by substituting x = 10 in the measure of ∠1

Thus, we have;

\angle 1 =4(10)+15

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\angle 1=55^{\circ}

Thus, the measure of ∠1 is 55°

7 0
3 years ago
Plz answer the question attached
Agata [3.3K]

Answer:

y = -2x + 5

Step-by-step explanation:

To find the slope, you need to pick two points and put into the slope formula.  It doesn't matter which ones, you will get the right answer regardless.  I used (-3, 11) and (2, 1).

m=\frac{y_{2} -y_{1} }{x_{2} -x_{1} } \\m=\frac{11 -1 }{-3 -2 } \\m=\frac{10 }{-5 } \\m=-2

Now that you have the slope, you can plug it into point-slope form to find the equation in slope-intercept form.  You will also need to plug one of the given points.  Again, it doesn't matter which one.

y-y_{1}=m(x-x_{1} )\\y-1=-2(x-2)\\y-1=-2x+4\\y=-2x+5

4 0
2 years ago
Michelle Smith bought 30 shares of James Company stock at $34 per share. The company paid annual dividends of $0.42 per share. W
grandymaker [24]

Answer:

The right option is B) 12.60

Step-by-step explanation:

We have given,

Number of shares = 30

Cost of each share = $34

Total cost of shares = 30 × 34 = $1020

Since the company paid annual dividends of $0.42 per share.

i.e Total annual dividend company paid = 0.42 × 30

Total annual dividend company paid = $ 12.60

Hence the right option is B) 12.60


5 0
3 years ago
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