Answer:
Step-by-step explanation:
Note that the base angle of an isosceles triangle is equal hence;
3x+2 = 5x-30
3x - 5x = -30-2
-2x = -32
x = -32/-2
x = 16
Hence one of the base angle = 3(16)+2 = 50degrees
The sum of angle in the triangle is 180, hence
50+50+y = 180
100 + y = 180
y = 80 degrees
Hence the third angle is 80 degrees
Answer:
−7⋅(−3)⋅(−5)⋅(−8)
Step-by-step explanation:
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:
3.12
Step-by-step explanation: