Answer:
37.5
Step-by-step explanation:
First you have to realize that these are similar triangles.
You can do a easy cross multiplication with these types of questions by forming an equation with the similar angles.
put the smaller above the decimal and the bigger one below like this.
=
Now cross multiply
8x=300
x=37.5
Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle. The height from the ground to the top of the ramp 6. 0 ft. Option D is correct.
<h3>What is the Pythagoras theorem?</h3>
Pythagoras theorem is a basic relationship in geometry between the three sides of a right triangle.
It indicates that the area of the hypotenuse square is equal to the sum of the areas of the squares on the other two sides.
The given data in the problem will be;
L is the length of ramp= 10 feet
x is the horizontal distance from the bottom of the ramp = 8 feet
h is the height from the ground to the top of the ramp=?
According to Pythagoras theorem,

Hence the height from the ground to the top of the ramp 6. 0 ft. Option D is correct.
To learn more about the Pythagoras theorem refer to the link;
brainly.com/question/343682
Answer: 167
Step-by-step explanation: To find the 76th term of this arithmetic sequence, we will be using our explicit formula which is shown below.

Since we want to determine the 76th term, we are going
to substitute 76 in for <em>n</em> in our explicit formula.
Then,
will be our first term in our sequence which is 17.
Lastly, <em>d</em> is our common difference or the difference between each of the terms in our arithmetic sequence which is 2.
So we have
.
Now we have all the information we need. Just simplify from here.
Make sure to apply order of operations because this is where many
students make mistakes. Inside the parentheses first!
(76 - 1) is going to be 75.
So we have
.
Then, we have to make sure we multiply before we add.
So (75)(2) is going to give us 150.
So we have
.
Now just add to find that
.
So the 76th term is 167.
Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
<h3>

</h3>
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
A(-4, 7) and S(5,3)
The midpoint is
<h3>

</h3>
We have the final answer as
<h3>

</h3>
Hope this helps you