Answer:
a) The median AD from A to BC has a length of 6.
b) Areas of triangles ABD and ACD are the same.
Step-by-step explanation:
a) A median is a line that begin in a vertix and end at a midpoint of a side opposite to vertix. As first step the location of the point is determined:
The length of the median AD is calculated by the Pythagorean Theorem:
The median AD from A to BC has a length of 6.
b) In order to compare both areas, all lengths must be found with the help of Pythagorean Theorem:
(by the definition of median)
The area of any triangle can be calculated in terms of their side length. Now, equations to determine the areas of triangles ABD and ACD are described below:
, where
, where
Finally,
Therefore, areas of triangles ABD and ACD are the same.
Answer:
YES by SAS
triangle TUV is similar to triangle TLM
Step-by-step explanation:
The ratios of the sides
24/6 = 4
36/9 = 4
so the sides are similar
We know angle UTV = angle LTM because they are vertical angles
we have side included angle side
The triangles are similar by SAS ( side angle side)
triangle TUV is similar to triangle TLM
Answer:
x ∈ R (all reals)
Step-by-step explanation:
14 - (2x + 5) = -2x + 9
Take out parentheses
14 - 2x - 5 = -2x + 9
Simplify
9 = 9
<em>Since 9 does equal 9, it means that this equation can be true for all real values of x.</em>
Answer: 1.25 or 1 and 1/4: 20 ounces.
Step-by-step explanation:
Answer:
300=10x+20y
Step-by-step explanation:
You are trying to get the sales to equal 300 so the 10x and 20y added together will get you 300