If<span> the degree </span>measure<span> of </span>two<span> complementary </span>angles<span> are in the ratio of </span>1<span>:14, ... These are similar to complementary </span>angles<span>, except </span>their<span> sum is </span>180<span> degrees. ... </span>1<span> = </span>angle 3<span>, (because they are vertical </span>angles<span>), </span>then<span> the </span>measure<span> of </span>angle 3<span> = y - 5.</span>
Answer:
Step-by-step explanation:
9) PQR Is an isosceles triangle
=> ∠PRQ = (180° - x)/2
PRS is an isosceles right triangle
=> ∠PRS = 45°
Have: ∠PRS + ∠PRQ = 115°
=> 
=> 180 - x = (115 - 45).2 = 140
<=> x = 180 - 140 = 40
10) ABD is an isosceles right triangle => ∠ABD = 45°
BCD is an equilateral triangle => ∠CBD = 60°
have: x = ∠ABD + ∠CBD = 45° + 60° = 105°
11) have: x = y (2)
PQT is an isosceles triangle => ∠PQT = 180 - 70.2 = 40
QTS is an isosceles triangle => ∠TQS = 180 -2x
QRS is an isosceles triangle => ∠RSQ = y
have: 40 + 180 - 2x + y = 180 => 2x - y = 40 (1)
(1)(2) => 
=> x + y = 80
12) EFJ Is an equilateral triangle => ∠FJE = 60
∠FJE is the outer angle of the triangle FHJ but FHJ is an isosceles triangle
=> 60 = 2.∠JHF => ∠JHF = 30°
∠JHF is the outer angle of the triangle FHG
=> 30° = 2x
<=> x = 15°
<span>image A′B′C′D′ is 5 times bigger than pre-image ABCD
scale factor = 5</span>
Answer:70 passengers are left
Step-by-step explanation:
Started with 51 passengers
Makes formula
51 - 26 + 45 = 70 passengers
Started - left = people left or gained