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1 year ago

Which statement is true?

Mathematics

1 answer:

zhuklara [117]1 year ago

4 0

Answer:

C) When an altitude is drawn from the right angle of a right triangle it creates three similar triangles.

Step-by-step explanation:

The Inscribed Similar Triangles Theorem states that if an altitude is drawn from the right angle of any right triangle, then the two triangles formed are similar to the original triangle and all three triangles are similar to each other.

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after a snow storm city workers removed an estimated 12,000 cubic meters of snow from the downtown area. if this snow were sprea

levacccp [35]

You would set them equal and cross multiply

7 0

2 years ago

What is the area of the trapezoid? The diagram is not drawn to scale.

loris [4]

Answer:

Area of trapezoid = 21 cm²

Step-by-step explanation:

Given:

Length of rectangular shape = 4 cm

Width of rectangular shape = 3 cm

Base of triangle = 3 cm

Number of triangle = 3 cm

Find:

Area of trapezoid

Computation:

Area of trapezoid = Area of middle rectangle + Number of triangle[Area of triangle]

Area of trapezoid = [l x b] + 2[(1/2)(b)(h)]

Area of trapezoid = [4 x 3] + 2[(1/2)(3)(3)]

Area of trapezoid = 12 + 9

Area of trapezoid = 21 cm²

6 0

2 years ago

parallelogram ABCD is reflected over the y axis, followed by a reflection over the x axis, and then rotated 180 degrees about th

mixer [17]

Answer: Option c.

Step-by-step explanation:

The missing figure is attached.

Given a point $(x,y)$ :

1. If it is reflected over the y-axis:

$(x,y)$ → $(-x,y)$

2. If it is reflected over the x-axis:

$(x,y)$ → $(x,-y)$

3. If it is rotated 180 degrees about the origin:

$(x,y)$ → $(-x, -y)$

In this case, you can identify that the point A is:

$A(-5,1)$

Then:

If it is reflected over the y-axis:

$(-5,1)$ → $(5,1)$

If then it is reflected over the x-axis:

$(5,1)$ → $(5,-1)$

Finally, if this is followed by a rotationf of 180 degrees about the origin, this is:

$(5,-1)$ → $(-5,1)$

7 0

3 years ago

Write a quadratic equation with roots of 3/4 and -4

Vaselesa [24]

A quadratic equation given roots is solved by using the relation

${x}^{2} - (sum \: of \: roots)x + product \: of \: roots$

from the question,

sum of the root will be

$\frac{3}{4} + ( - 4) = \frac{3}{4} - 4$

$= \frac{3 - 16}{4}$

$= \frac{ - 13}{4}$

and also, product of the roots will

$\frac{3}{4} \times ( - 4) = - 3$

now substituting the sum of roots and product of roots into the equation

${x}^{2} - ( - \frac{13}{4} )x - 3$

$= {x}^{2} + \frac{13}{4} x - 3$

as the quadratic equation for the root 3/4 and -4

4 0

3 years ago

If f(x) = 4 – x2 and g(x) = 6x, which expression is equivalent to (g – f)(3)?

SVEN [57.7K]

(g-f)(x)=g(x)=f(x)

(g-f)(x)=6x-4+x^2

(g-f)(x)=x^2+6x-4 then:

(g-f)(3)=3^2+6*3-4

(g-f)(3)=9+18-4

(g-f)(x)=23

7 0

3 years ago