Answer:
495 students
Step-by-step explanation:
find 10% of 450:
450 x 0.1 = 45
45 students added through the year
now add 45 to the original 450 students
450 + 45 = 495
14 times 3 equals 42 and 865 times 3 equals 2595
Answer:
See Below.
Step-by-step explanation:
In the given figure, O is the center of the circle. Two equal chords AB and CD intersect each other at E.
We want to prove that I) AE = CE and II) BE = DE
First, we will construct two triangles by constructing segments AD and CB. This is shown in Figure 1.
Recall that congruent chords have congruent arcs. Since chords AB ≅ CD, their respective arcs are also congruent:

Arc AB is the sum of Arcs AD and DB:

Likewise, Arc CD is the sum of Arcs CB and DB. So:

Since Arc AB ≅ Arc CD:

Solve:

The converse tells us that congruent arcs have congruent chords. Thus:

Note that both ∠ADC and ∠CBA intercept the same arc Arc AC. Therefore:

Additionally:

Since they are vertical angles.
Thus:

By AAS.
Then by CPCTC:

This is already in slope intercept from. because the slope is -2 and the y intercept is 4. so if you put it in stander form you would get y=-2x+4
Answer:
5
Step-by-step explanation:
5