J ---- P --- K
JP = 2x
PK = 7x
JK = 27
2x + 7x = 27
9x = 27
x = 27/9
x = 3
The value of P is 3.
JP = 2x = 2(3) = 6
PK = 7x = 7(3) = 21
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°
a) the cost of a bunch of grapes compared with its weight
Highest common factor of 63 and 45 is 9.
Therefore there can be 9 bouquets each with 5 roses and 7 carnations
Answer:
Step-by-step explanation:
The Law of Sines is

Filling in what we are given:

Cross multiply to get
and divide to solve for side c:
which gives you that
c = 8.45
We know that angle B has to be the difference between 180 and angle A and angle C, so
angle B = 51
Now we can solve for side b:
and
and
b = 21.03