Answer:
z = 29°
Step-by-step explanation:
We know that the 3 angles in a triangle always add up to 180°. So for triangle ABC, angle A = 59° (given), and angle B = 43° + 49° = 92° (given).
angle A + angle B + angle C = 180°
59° + 92° + z = 180°
151° + z = 180°
Subtract 151° from both sides of the equation
z = 180° -151°
z = 29°
Answer:
The area of triangle is 
Step-by-step explanation:
It is given that AB=19cm, BC=12cm and ∠B=105°
Now, Area of the triangle ABC=
=
=
=
Thus, the area of triangle is 
Answer:
p = 4
Step-by-step explanation:
-20p + 15p = -20
-5p = -20
-p = -4
p = 4 (swapping it would make them positive)
Answer:
$6050.00
Step-by-step explanation:
.10x + 45 = 650
.10x = 605
x = $6050
4 cups of sunflower seeds in a large batch
Explanation:
Small batch:
cups of raisins = 2
cups of peanuts = 2
cup of sunflower seeds = 1
cup of chocolate coated candies = 1
The ratio: 2:2:1:1
Large batch:
cups of peanuts = 8
cups of sunflower seeds are in a large batch = ?
From the small batch, we know for every 1 cup of sunflower seeds, we would have 2 cups of peanuts.
let the number of cup of sunflower seeds used in large batch = y
1 cup of sunflower seeds = 2 cups of peanuts
y = 8 cups of peanuts
cross multiply:
1(8) = 2(y)
8 = 2y
Divide both sides by 2:
8/2 = 2y/2
4 = y
Hence, the number of cups of sunflower seeds in a large batch is 4