Answer:
∠x = 90°
∠y = 58°
∠z = 32°
Step-by-step explanation:
he dimensions of the angles given are;
∠B = 32°
Whereby ΔABC is a right-angled triangle, and the square fits at angle A, we have;
∠A = 90°
∠B + ∠C = 90° which gives
32° + ∠C = 90°
∠C = 58°
∠x + Interior angle of the square = 180° (Sum of angles on a straight line)
∠x + 90° = 180°
∠x = 90°
∠x + ∠y + 32° = 180° (Sum of angles in a triangle)
90° + ∠y + 32° = 180°
∠y = 180 - 90° - 32° = 58°
∠y + ∠z + Interior angle of the square = 180° (Sum of angles on a straight line)
58° + ∠z +90° = 180°
∴ ∠z = 32°
∠x = 90°
∠y = 58°
∠z = 32°
What?
The slope can be found between two points by finding the change in values divided by the change in values.
Answer:
There is no solution
Step-by-step explanation:
4x - 2y = 5 --> 4x - 2(2x + 10) = 5
4x - 4x - 20 = 5
4x - 4x -25 = 0
Final answer is -25 = 0 and so therefor it is no solution
Answer:
675 gallons of syrup
96 cans
Step-by-step explanation:
Capacity of tank = 1,000 gallons
Danielle filled 65 5-gallon cans with syrup.
Gallons filled = 65 × 5 gallons
= 325 gallons of syrup
Gallons left in the tank = 1,000 - 325 gallons of syrup
= 675 gallons of syrup
3 12-packs Of regular cola = 3 × 12 packs = 36 packs
4 12- packs of diet cola = 4 × 12 packs = 48 packs
2 6-packs of orange soda = 2 × 6 packs = 12 packs
Total cans = 36 + 48 + 12
= 96 cans
Answer:
Junk gets 72
Step-by-step explanation:
Leah: Junko: total
1 8 1+8 = 9
The total is 81
81/9 = 9
Multiply each part by 9
Leah: Junko: total
1*9 8*9 9*9
9 72 81
