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
Number of ways to choose a hat = 3
Number of ways to choose a shirt = 4
Number of ways to choose a pant = 2
According to the fundamental rule of counting, the total ways to make a dress will be the product of the individual numbers an item can be chosen.
So,the number of outfits that can be made = 3 x 4 x 2 = 24 outfits.
Hence, the person can make 24 different outfits.
$9.00 would be your answer
Tip: If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up and if the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down.
The point-slope form:
m - slope
(x₁, y₁) - point
The slope-intercept form of an equation of a line:
m - slope
b - y-intercept → (0, b)
Convert the given equation to the slope-intercept form:
<em>use distributive property a(b + c) = ab + ac</em>
<em>add 2 to both sides</em>
It is a linear function. We only need two points to plot the graph.
The first point we have from point-slope form → x₁ = -6, y₁ = 2 → (-6, 2).
The second point we have from slope-intercept form → b = 5 → (0, 5)
Answer:
x>3
Step-by-step explanation:
