Answer:
Part 1) 
Part 2) 
Part 3) 
Part 4) 
Step-by-step explanation:
step 1
Find the length side c
Applying the Pythagoras Theorem

substitute the given values



step 2
Fin the measure of angle B
we know that
In the right triangle

substitute the given values


step 3
Find the measure of angle A
we know that
The measure of interior angles in a triangle must be equal to 180 degrees
so
∠A+∠B+∠C=180°
Remember that in a right triangle the measure of angle C is 90 degrees
we have


substitute


Answer:
456 students
Step-by-step explanation:
38% = 0.38
1200 x 0.38 = 456
Answer:

Step-by-step explanation:
Required
The equation of the ellipse
This is calculated as:

Where:
---- height
--- width
So:



I am not quite sure what the choices are, but the answer
to that problem is:
If p is a positive integer, then p(p+1)(p-1) is always
divisible by “an even number”.
The explanation to this is that whatever number you input
to that equation, the answer will always be an even number. This is due to the
expression p(p+1)(p-1) which always result in a even product.
For example if p=3, then (p+1)(p-1) becomes (4)(2) giving
you a even number.
And if for example if p=2, then (p+1)(p-1) becomes (3)(1)
which gives an odd product, but we still have to multiply this with p therefore
2*3 = 6 which is even product. The outcome is always even number.
<span>Answer: From the choices, select the even number</span>
In order for two triangles to be similar, there must be 2 pairs of congruent angles. Since two angles of triangle PQR have different measures from two angles of triangle RST, it is impossible to have two pairs of congruent angles, so the triangles cannot be similar.
The answer is in bold type below.
<span>All
interior angles must be given to determine similarity.
The triangles
are not similar.
Similarity cannot be determined from the given
information.
The triangles are similar.
</span>