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3 years ago

Using the similar triangles, which equation could be used to find the slope of line AB?

Mathematics

1 answer:

NARA [144]3 years ago

6 0

Answer:

A) slope = p/q

Step-by-step explanation:

Slope of any given can be found using the formula, $\frac{rise}{run} = \frac{y_2 - y_1}{x_2 - x_1}$ .

In this case, using similar triangles, the rise over the run of any of the given similar triangles will give us the slope of line AB.

This means, slope of line AB would be:

$\frac{rise}{run} = \frac{m}{n} = \frac{p}{q}$ .

✅Therefore, slope of line AB = p/q

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Helppppppppppppppppppppppppppppppppppppp

Gnoma [55]

The expression x²-14x+31=63 is a quadratic equation. To solve it, you must order it:

x²-14x+31-63=0

x²-14x-32=0

Then, you must apply the quadratic formula, which is shown below:

x=(-b±√(b^2-4ac))/2a

So you have the values of a,b and c:

a=1

b=-14

c=-32

When you substitute those values in the quadratic formula, you obtain:

x=(-(-14)±√((-14)^2-4(1)(-32))/2(1)

x1=-2

x2=16

So, the correct option is the third one: x=-2 or x=16

3 0

3 years ago

Edit: I figured it out, it's 14+7(sqrt sign) 2

Anettt [7]

Answer:

$Perimeter = 14 + 7\sqrt{2}$

Step-by-step explanation:

Given:

Area of the square = 49 in²

Required

Determine the perimeter of the one of the congruent triangles

First, we'll determine the length of the square;

$Area = Length * Length$

Substitute 49 for Area

$49 = Length * Length$

$49 = Length^2$

Take Square root of both sides

$7 = Length$

$Length = 7$

When the square is divided into two equal triangles through the diameter;

2 sides of the square remains and the diagonal of the square forms the hypotenuse of the triangle;

Calculating the diagonal, we have;

$Hypotenuse^2 = Length^2 + Length^2$ -- Pythagoras Theorem

$Hypotenuse^2 = 7^2 + 7^2$

$Hypotenuse^2 = 2(7^2)$

Take square root of both sides

$Hypotenuse = \sqrt{2} * \sqrt{7^2}$

$Hypotenuse = \sqrt{2} * 7$

$Hypotenuse = 7\sqrt{2}$

The perimeter of one of the triangles is the sum of the 2 Lengths and the Hypotenuse

$Perimeter = Length + Length + Hypotenuse$

$Perimeter = 7 + 7 + 7\sqrt{2}$

$Perimeter = 14 + 7\sqrt{2}$

7 0

4 years ago

Please help me I need it right now

Nana76 [90]

Answer:

X+y=180, Y=Z, X+Z=180

Step-by-step explanation:

Hope this helps. i remember doing this.

6 0

3 years ago

In the figure, a∥e , m∥n , and m∠2 = 117°.

Blizzard [7]

a∥e , m∥n , and m∠2 = 117°
<5 = 180 - <2
<5 = 180 - 117
<5 = 63

answer
63°

3 0

4 years ago

Read 2 more answers

There are 24 female performers in a dance recital. The ration to men to women is 2:3 How many men are in the recital?

Luba_88 [7]

Just set up a proportion

(2/3)=(x/24)

cross multiply both sides
24(2)=3(x)

then solve
48=3x

x=48/3

x=16

16 is the correct answer

5 0

3 years ago