Well when you are using a fraction strip, it tells you fractions that are equivalent. To know how to fractions are equivalent, then you have to work it out writing out different sets of fractions and seeing if they are the same.
Answer:
a) ∠TVZ= 95°
Step-by-step explanation:
3a) ∠STY= ∠QTV (vert. opp. ∠s)
3x°= 120°
x°= 120° ÷3
x°= 40
∠TVZ= ∠RVW (vert. opp. ∠s)
∠TVZ= (2x +15)°
∠TVZ= [2(40) +15]°
∠TVZ= (80 +15)°
∠TVZ= 95°
b) Since ∠TVZ and ∠WVZ lies on a straight line,
∠TVZ +∠WVZ= 180° (adj. ∠s on a str. line) -----(1)
∠WVZ= (2x +5)°
∠WVZ= [2(40) +5]°
∠WVZ= (80 +5)°
∠WVZ= 85°
Substitute ∠WVZ= 85° into (1):
∠TVZ +85°= 180°
∠TVZ= 180° -85°
∠TVZ= 95°
Thus, ∠TVZ is indeed 95°.
Notes:
• What is vert. opp. ∠s?
It is an abbreviation used for a property of angles, vertically opposite angles. When two lines intersect each other, the angles facing each other (or the angles on the opposite side of each other) are equal.
• What is adj. ∠s on a str. line?
It is an abbreviation for 'adjacent angles on a straight line'. The sum of all the angles on a straight line is 180°.
Answer:
180
Step-by-step explanation:
hehe
2 90
3 60
4 45
5 36
6 30
9 20
90 = 2
<3
Let x = Pacific Paradise
You can set up the equation like this:
x + (3x - 25) + (x + 18) = 928
(Combine like-terms)
5x - 7 = 928
(Add 7 to both sides)
5x = 935
(divide by 5 to both sides)
x = 187 (# of deluxe staterooms Pacific Paradise)
Next to find the # of deluxe staterooms of the other cruise ships create two equations
Let y = Carribean Paradise
x + 18 = y
(plug in the value of x which is 187)
187 + 18 = y
(combine like-terms)
205 = y (# of deluxe staterooms Carribean Paradise)
Let z = Mediterranean Paradise
3x - 25 = z
(plug in the value of x which is 187)
3(187) - 25 = z
(follow PEMDAS to simplify and combine like-terms)
536 = z (# of deluxe staterooms Mediterranean Paradise)
Finally check your answer by adding up all of your answers to make sure it equals 928
536 + 205 + 187 = ? (928!)
I gotchu I’ll reply in like 2 mins in the comments chill and just know that I feel the pain of a timed assignment;)