Hope this helps. It has the y and x intercepts on the graph.
Answer:
384 cm²
Step-by-step explanation:
The shape of the figure given in the question above is simply a combined shape of parallelogram and rectangle.
To obtain the area of the figure, we shall determine the area of the parallelogram and rectangle. This can be obtained as follow:
For parallelogram:
Height (H) = 7.5 cm
Base (B) = 24 cm
Area of parallelogram (A₁) =?
A₁ = B × H
A₁ = 24 × 7.5
A₁ = 180 cm²
For rectangle:
Length (L) = 24 cm
Width (W) = 8.5 cm
Area of rectangle (A₂) =?
A₂ = L × W
A₂ = 24 × 8.5
A₂ = 204 cm²
Finally, we shall determine the area of the shape.
Area of parallelogram (A₁) = 180 cm²
Area of rectangle (A₂) = 204 cm²
Area of figure (A)
A = A₁ + A₂
A = 180 + 204
A = 384 cm²
Therefore, the area of the figure is 384 cm²
Answer:
-6
Step-by-step explanation:
y intercept is -6 because formula of gradient is y=mx+c.......c is the y intercept
Answer:
∠ A = 35°, ∠ B = 70°, ∠ C = 75°
Step-by-step explanation:
let ∠ A be x then ∠ B is 2x ( twice as large as A ) and
∠ C is 2x + 5 ( 5 more than B )
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 2x + 2x + 5 = 180, that is
5x + 5 = 180 ( subtract 5 from both sides )
5x = 175 ( divide both sides by 5 )
x = 35
Thus
∠ A = x = 35°
∠ B = 2x = 2 × 35° = 70°
∠ C = 2x + 5 = 70 + 5 = 75°
Answer:
diagonal
Step-by-step explanation: