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3 years ago

State if the two triangles are congruent. If they are, state how you know.

Mathematics

1 answer:

Gwar [14]3 years ago

4 0

Answer:

The triangles can be congruent.

Step-by-step explanation:

They are congruent if proven by SSS: 2 sides are clearly stated that they are congruent due to the marks they have.

The last side can be congruent if the diagonals are congruent in length by proving.

They can also be congeuent due to SAS because there is gonna be alternate interior angles due to the transversal.

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Find the equation of a line that passes through the point (0, -2) and is parallel to a line that goes through the points (4, 0)

Nikitich [7]

Answer:

y = (-3/4)x -2

or: y = -0.75x -2

Step-by-step explanation:

First, find the slope of the line that it parallel to. Using equation

slope m = (y2-y1)/(x2-x1),

slope of line that passes through points (4, 0) and (0, 3)

= (3 - 0) /( 0-4)

= -3/4

Since the lines are parallel, both of them have the same slope, which is -3/4.

The point (0, -2) is actually the point of y -intercept (c) of the new line, so we can simply use the slope-intercept form to find the equation of line.

y = mx + c

y = (-3/4)x + (-2)

y = (-3/4)x -2

3 0

3 years ago

If f is translated 4 units down to create g, which function represents g? A. g(x) = f(x) - 4 B. g(x) = f(x - 4) C. g(x) = f(x +

dalvyx [7]

Answer:

$g(x)=f(x)-4$

Step-by-step explanation:

we are given

f is translated 4 units down to create g

we know that

whenever we translate any function by 'a' units down , we always subtract that function by 'a' units

Suppose, f(x) is translated down by 'a' units

so, we get

=f(x)-a

now, we have

f is translated 4 units down

so, we get

$=f(x)-4$

and it is creating g(x)

$g(x)=f(x)-4$

8 0

3 years ago

A kite with a string 80 feet long makes an angle of elevation of 40° with the ground, assuming the string is straight, how high

defon

The diagram of the kite is shown below

To find the perpendicular height of the kite from the ground, we use the trigonometry ratio for sin(x).

The reason for using the sine ratio is because we have the hypotenuse, 80 feet, and the angle, 40° and we are looking for the length of the side opposite the angle.

$sin(x)= \frac{opp}{hyp}$
$sin(40)= \frac{x}{80}$
$80sin(40)=x$
$x=51.42$ rounded to two decimal place

Perpendicular height of the kite from the ground is 51.42 feet