Answer:
AD = 2√10
Step-by-step explanation:
We're looking for the length AD.
To start, let's break off two smaller triangles from this large one: ΔBDA andΔADC. These triangles are <em>similar</em>: that is, all their interior angles are the equal. Since they're similar, the corresponding sides of these triangles will be in proportion to each other. That is to say, the <em>ratio </em>between corresponding sides will be equal. AD on the larger triangle corresponds to BD on the smaller one, and DC on the larger triangle corresponds to DA on the smaller one. Using this information, we can set up the ratio
AD and DA describe the same line segment, so we can replace DA with AD, and substituting BD = 5 and DC = 8 makes the equation
Cross multiplying gives us 
, and taking the square root gives us our value for AD:
So our solution is AD = 2√10
She’s serving 20% I know this because there are 5 pieces cut evenly! so 100 divided by 5 is 20.
Answer: D. Definition of Supplementary Angles
Explanations:
Note from the diagram shown that:
AMB forms a straight line
This means that < AMB = 180 degrees (Because sum of angles on a straight line is 180 degrees)
Also note that the sum of angles on a straight line is 180 degrees
< AMC + < CMD + < DMB = 180 (sum of angles on a straight line)
Since < AMB = 180
< AMC + < CMD + < DMB = < AMB
Since the above indicates that the sum of the angles add up to 180 degrees, they are supplementary angles.
Note that supplementary angles are angles that add up to 180 degrees
Answer:
Quadratic (I took the test)
Step-by-step explanation:
y=t+2 equals y-2=t
put t in for x=t^1/2. this is x=(y-2)^1/2, which equals x^2=y-2.
add 2 to both sides, which is y=x^2+2 . This is an example of a quadratic equation (you kinda just need to know the format of different types of equations for the last part. It isn't cubic because it has a number added to it, isn't linear because the x is squared, and tbh I have no clue what quartic is.)
Answer:
? = 3/5
Step-by-step explanation:
14/15–x = 1/3
14/15–1/3 = x
14/15–5/15 = x
9/15 = x
3/5 = x
