Answer:
∠ D = 28°
Step-by-step explanation:
The external angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBC is an exterior angle of Δ ABE, thus
∠ EBC = 90° + 34° = 124°
BD bisects ∠ EBC, so
∠ EBD = 124° ÷ 2 = 62° , then
∠ D = 180° - (90 + 62)° = 180° - 152° = 28° ( angle sum of triangle )
Answer:
£13.5.
Step-by-step explanation:
Let the share of Brendon, Asha and Julie is 3x, 2x and 6x respectively.
The total amount of money that Asha and Julie recieve is £36
i.e.
2x+6x = 36
8x = 36
x = (36/8)
Amount recieved by Brendon,

So, the amount of money that brendon receives is £13.5.
Times the price of the model cars to the amount bought.
$15×6= 90.
Lea paid 90 dollars for the model cars.
Now, multiply the price of the paint to the amount bought.
$11×4= 44.
Lea paid 44 dollars for the paint.
Add both together. 90+44= 134.
Therefore, Lea paid $134 for the model cars and paint all together.
hope this helps!
Answer:
Area of the wall to be painted = (11x² + 12x) square units
Step-by-step explanation:
The figure that should be attached to this question is missing. The figure was obtained and is attached to this solution provided.
From the image attached, it is given that the dimension of the rectangular wall to be painted is (4x+3) by (4x), the dimensions of the window is (2x) by (x) and the dimensions of the door is (x) by (3x).
Since, the window space and the door space cannot be painted along with the wall, the Area of the rectangular wall that will be painted will be given by the expression
(Total Area of the rectangular wall) - [(Area of window space) + (Area of door space)]
Area of a rectangular figure = Length × Breadth
Total area of rectangular wall = (4x+3) × 4x = (16x² + 12x) square units
Area of window space = (2x) × (x) = (2x²) square units
Area of door space = (x) × (3x) = (3x²) square units
Area of the wall to be painted = (16x² + 12x) - (2x² + 3x²)
= 16x² + 12x - 5x²
= (11x² + 12x) square units
Hope this Helps!!!