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2 years ago

Find the missing length of the triangle.

Mathematics

1 answer:

allsm [11]2 years ago

3 0

Hey there!

Solve using pythagoras theorem (it's given that is triangle is right angled. Pythagoras theorem only works in the case of right triangles) ⇨ Hypotenuse² = Base² + Altitude ²

Here,

Base = 9 mm

Hypotenuse = 15 mm

Altitude = b

Hypotenuse² = Base² + Altitude ²

15² = 9² + b²

225 = 81 + b²

225 - 81 = b²

144 = b²

√144 = b

<u>1</u><u>2</u><u> </u><u>mm </u>= b

Hope it helps ya!

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A triangle has the coordinates

Romashka-Z-Leto [24]

Answer:

see explanation

Step-by-step explanation:

Under a reflection in the y- axis

a point (x, y ) → (- x, y ) , thus

A(4, - 1 ) → A'(- 4, - 1 )

B(3, - 3 ) → B'(- 3, - 3 )

C(0, 2 ) → C'(0, 2 )

6 0

2 years ago

I’d appreciate help ASAP please and thank you!

White raven [17]

<h3>Answer: Choice C) 40 </h3>

==========================================================

Work Shown:

Plug in x = 0

$g(x) = 3^{2x}\\\\g(0) = 3^{2*0}\\\\g(0) = 3^{0}\\\\g(0) = 1\\\\$

This indicates that (0,1) is on the curve. This is the y intercept.

Do the same for x = 2

$g(x) = 3^{2x}\\\\g(2) = 3^{2*2}\\\\g(2) = 3^{4}\\\\g(2) = 81\\\\$

So we know that (2,81) is another point on this curve.

We need to find the slope of the line through (0,1) and (2,81) to get the slope of the secant line we want.

$m = \text{slope}\\\\m = \frac{\text{rise}}{\text{run}}\\\\m = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{g(2)-g(0)}{2-0}\\\\m = \frac{81-1}{2-0}\\\\m = \frac{80}{2}\\\\m = 40\\\\$

The slope of the line through (0,1) and (2,81) is m = 40. This value of m is exactly the slope of the secant line your teacher is asking for. This is why the answer is choice C.

5 0

2 years ago

A diagonal shortcut across a rectangular lot is 130 feet long. The lot is 50 feet long. What is the other dimension of the lot

ryzh [129]

We use the pithagorean formula: x^2 = 130^2 - 50^2 = 16900 -2500 = 14400;
then, x = $\sqrt{14400}$ = 120 feet has the other dimension of the lot.