All categories

3 years ago

Given that D, E, and F are the midpoints of their respective sides, which of the following is a true statement?

Mathematics

1 answer:

pishuonlain [190]3 years ago

4 0

Answer:

first option

Step-by-step explanation:

hope this helps u

You might be interested in

Two ships set sail in different directions from the same place. Tyler's ship sail 35 miles while Noah's ship sails for 42 miles.

earnstyle [38]

Answer:

The angle between their paths when they started is 93°.

Step-by-step explanation:

The Law of Cosines

It relates the length of the sides of a triangle with one of its internal angles.

Let a,b, and c be the length of the sides of a given triangle, and x the included angle between sides a and b, then the following relation applies:

$c^2=a^2+b^2-2ab\cos x$

When the two ships travel in different directions from the same point in the plane, they form an angle we called x in the image below.

Tyler's ship sails a=35 miles and Noah's ship sails for b=42 miles. At some time they are c=56 miles apart.

Since we know the values of all three side lengths, we solve the equation for x:

$\displaystyle \cos x=\frac{a^2+b^2-c^2}{2ab}$

Substituting values:

$\displaystyle \cos x=\frac{35^2+42^2-56^2}{2(35)(42)}$

Calculating:

$\displaystyle \cos x=-\frac{147}{2940}=-\frac{1}{20}$

Computing the inverse cosine:

$x = \arccos(-0.05)$

$x \approx 93^\circ$

The angle between their paths when they started is 93°.

6 0

3 years ago

Solve the following two equation X+Y=5 X-2Y=2

White raven [17]

Step-by-step explanation:

x=4 and y= 1 because of 4+1=5 and add 2y to both sides

x-2y+2y=2+ 2y

x=2y+2

4-2=2

8 0

3 years ago

Read 2 more answers

Newton’s law of cooling states that for a cooling substance with initial temperature T0 , the temperature T(t) after t minutes c

Mandarinka [93]

0.0439 this is the answer

8 0

4 years ago

What is the slope of the line with the equation y +2 = -3(x – 7)?

Citrus2011 [14]

Answer:

A.m = -3

Step-by-step explanation:

This equation is written in point slope form

y-y1 = m(x-x1)

y +2 = -3(x – 7)

y - -2 = -3(x – 7)

The slope is -3 and the point is (7, -2)

5 0

3 years ago

What is an equation of the line that passes through the points (1, 1) and (7, -5)? Put your answer in fully reduced form.

Helen [10]

Y=-x+b
I could be wrong cause it’s been a while but

3 0

3 years ago