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°
Answer:
- volume: 252 cm³
- mass: 2167.2 (units not specified)
Step-by-step explanation:
The volume of a cuboid is given by the product of its dimensions. Here, that is ...
(12 cm)·(6 cm)·(3.5 cm) = 252 cm³
We are told the mass of each cm³ is 8.6, so 252 of them will have a mass of ...
8.6·252 cm³ = 2167.2 . . . . . no units specified
Answer:
q= -4
Step-by-step explanation:
First, simplify 4x+2y=5
2y=-4x+5
y=-2x+5/2
q+2 has to equal to -2
q = -4
Third (0,4)
Is the correct choice
Answer: 158.53 cm
Step-by-step explanation:
We know that the ends of a fishing line spool are circular in shape.
Given : The area of an end of fishing line spool = 
(1)
Area of a circle = 
(2)
Circumference of a circle = 
(3)
, where r is radius of the circle.
From (1) and (2), we have
Circumference of fishing spool = (using (3))
i.e. Fishing spool required to wind around the spool one time 
⇒ Fishing spool required to wind around the spool 10 times 
Hence, you need 158.53 cm or about 159 cm of fishing line to wind around the spool 10 times.
