Answer:
Step-by-step explanation:
| Given
| Distribute the 2 inside the parentheses
| Add 10 to both sides
| Add. <em>Optional; not included in your question.</em>
<em /><em> </em>| Divide by 2 on both sides.
<em />
Answer:
The angles 4, 5 and 6 are 36, 90 and 54 respectively.
Step-by-step explanation:
First, let's find the total number of parts:
2 + 5 + 3 = 10
The amount of degrees per part is 180 / 10 = 18.
Now, we multiply that factor to the ratio:
Thus, the angles 4, 5 and 6 are 36, 90 and 54 respectively.
Answer:
17 miles.
Step-by-step explanation:
Let's define:
North as the positive y-axis
East as the positive x-axis.
We know that Laura lives 15 miles east of Kevin's place.
Kevin lives 8 miles south of Michelle's place.
So, if we define the origin, (0, 0) as Laura's place.
From:
"that Laura lives 15 miles east of Kevin's place."
We have that the location of Kevin's house is 15 miles west from Laura's place, then Kevin's house is at:
(0, 0) + (-15mi, 0) = (-15mi, 0)
From Kevin lives 8 miles south of Michelle's place, we know that Michelle's live 8 miles north of Kevin's place.
Then the location of Michele's house is the location of Kevin's plus (0, 8mi).
Michelle's house is located at:
(-15mi, 0) + (0, 8mi) =(-15mi, 8mi)
Now we want to find the distance between Michelle's house and Laura's house.
Michelle's house is at (-15mi, 8mi)
Laura's house is at (0mi, 0mi)
Remember that the distance between two points (a, b) and (c, d) is given by:
Then the distance between (-15mi, 8mi) and (0mi, 0mi) is:
The correct option is the first one, 17 miles.
see the attached figure to better understand the problem
we know that
The equilateral triangle has three equal sides
so
in the equilateral triangle ABC
the height of the triangle is the segment BD
in the right triangle BCD
Applying the Pythagorean Theorem
solve for BD
substitute the values
therefore
<u>the answer is</u>
the height of the triangle is
