Keywords
triangle,perimeter,distance, length, side, points
we know that
The <u>perimeter</u> of a<u> triangle</u> is the sum of the three <u>length</u> <u>side</u>
To find the<u> length</u> <u>side</u> calculate the <u>distance</u> between two <u>points</u>
The formula to calculate the <u>distance</u> between to <u>points</u> is equal to
Step 1
Find the <u>distance</u> ZY
substitute the values
Step 2
Find the <u>distance</u> XY
substitute the values
Step 3
Find the <u>perimeter</u> of the <u>triangle</u>
we have
Substitute
therefore
the answer is
Answer:
15
Step-by-step explanation:
since there is 7 teams and 12 can be the minimum we can do 7 x 12=84
this means that 3 people could possibly be on one single team.
the maximum number is 12+3=15
Only the third model shows parallel lines cut by a transversal.
We can solve this problem by using some properties that parallel lines cut by a transversal have. First of all, corresponding angles are congruent, and since the angles in figure 1 are corresponding but not congruent, that means that figure one is out.
In addition, in figure two, alternate exterior and interior angles of parallel lines intersected by a transversal are congruent, so since they are not in the picture, that means that this figure is also out.
Figure three is correct because since those are same side interior angles, they need to be supplementary for those to be two parallel lines intersected by a transversal. Since they do, in fact, add up to 180°, that means that the answer is figure three.
The resulting composite function (f∘f)(x) is x⁴+2x²+2
When a function is written inside another function, it is known as a composite function
Given the function f(x)=x²+1,
(f∘f)(x) = f(f(x))
f(f(x)) = f(x²+1)
This means we will need to replace x with x²+1 in f(x) as shown:
f(x²+1) = (x²+1)²+1
Expand
f(x²+1) = x⁴+2x²+1+1
f(x²+1) = x⁴+2x²+2
Hence the resulting composite function (f∘f)(x) is x⁴+2x²+2
Learn more here: brainly.com/question/3256461
The rule for inscribed angles and their corresponding arcs is that the measure of the angle is one-half that of the arc. Therefore, all we have to do is divide 68/2, which gets us an answer of D. 34.
Hope this helps!
