Answer:
1. A number decreased by seven.
2. A number increased by nine.
3. The product of six and a number, divided by eight.
4. The product of three and a number increased by five is equal to twenty.
5. The product of two and a number increased by eight is equal to twenty-three.
Step-by-step explanation:
1. x-7
A number decreased by seven.
2. y+9
A number increased by nine.
3. 6m/8
The product of six and a number, divided by eight.
4. 3y+5 =20
The product of three and a number increased by five is equal to twenty.
5. 2(x+8)= 23
The product of two and a number increased by eight is equal to twenty-three.
Answer:
1 A
2 A
Step-by-step explanation:
1. steps can be positive whole numbers only
2. there is 15 steps
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°
Length=3width-5
(2(x))+(2(3x-5)=46
2x+6x+10=46
8x=56
x=7
width=7 length=16
Area of triangle = 1/2 bh
60 = 1/2 (15) h
8 = h
Quadrilateral area = h x (b1 + b2)/2 = 8 x (15+9)/2 = 96 sq units
96 -60 = triangle BAD area = 36 sq units
