1) yes. the constant rate of change is 3/1
2) no
3) yes. constant change is 2/1
Answer:
2,734,500
Step-by-step explanation:
27,345 × 113 - 27,345 × 13 ← factor out 27,345 from each term
= 27,345(113 - 13)
= 27,345 × 100
= 2,734,500
Answer:
a. Angle Y is a right angle.
b. The measure of angle Z is 45°.
e. The perpendicular bisector of creates two smaller isosceles triangles.
Step-by-step explanation:
Let x represent the measures of base angles X and Z. Then 2x is the measure of vertex angle Y, and the sum of angles is ...
x + x + 2x = 180°
x = 45°
2x = m∠Y = 90°
so the triangle is an isosceles right triangle which has base angles of 45°.
The perpendicular bisector of XZ is the altitude of the triangle XYZ. It creates two smaller right triangles with acute angles of 45°. Hence, those, too, are isosceles right triangles.
• measure of the side: s = 3 in
You can find the height h by this formula:
s · √3
h = ————
2
3 · √3
h = ————
2
3√3
h = ———— in (exact value)
2
Using √3 ≈ 1.73,
3 · 1.73
h ≈ —————
2
5.19
h ≈ ————
2
h ≈ 2.60 in (approximate value)
I hope this helps. =)