Answer:
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When changing from radical form to fractional exponents, remember these basic forms:
The nth root of a can be written as a fractional exponent with a raised to the reciprocal of that power.
is taken, it’s raised to the 1/n power. When a power is raised to another power, you multiply the powers together, and so the m (otherwise written as m/1) and the 1/n are multiplied together.
Use fractions in the powers to indicate that the expression stands for a root or a radical.
Leave the exponent as 9/4. Don’t write it as a mixed number.
Answer:
1) angle bisector
2) w = 72°
3) t = 44°
4) t = 51°
5) FG = 16 units
Step-by-step explanation:
1) Given that, ∠VYW ≅ ∠WYV
The line which cuts any angle into equal halves is angular bisector of the angle
⇒ YW is angle bisector
2) In a triangle, sum of two interior angle is equal to exterior angle of other side.
⇒ w-41° + w-31° = w.
⇒ w = 72°
3) Sum of interior angles in a pentagon is 540°
(For a n sided it is (n-2)180° )
⇒ 149° + 139° + t+32° + 3t +t = 540°
⇒ t = 44°
4) sum of all exterior angles taken one at each vertex = 360°
⇒ 2t-50° + 46° + 2t + 34° + 2t-50° + 34° + 40° = 360°
⇒ t = 51°
5) Here, by comparing ΔHGF and ΔHIF
∠GHF = ∠IHF
∠HGF = ∠HIF
and HF is common side for both triangles
⇒ ΔHGF ≡ ΔHIF ; i.e) ΔHGF , ΔHIF are congruent triangles
⇒ FG = FI = 16 units
Answer: XY - Z
The value of Z cannot be larger than XY.
For instance, if he went shopping with XY = 25 dollars and spent Z = 9 dollars, then he's left with XY-Z = 25-9 = 16 dollars.
We can find the volume of any rectangular prism by simply multiplicating its height, length and width.
Also, lets change that 6 1/4 to 6.25, or 25/4 if you like. I’m gonna use 6.25.
If we take volume as “V”, then:
V = L * W * H
V = 3ft * 6.25ft * 14ft
V = 262.5 ft^3 (Its ft cubed because we multiplied by ft three times.)
