Center of rhombus bisects 90°.
Sum of angles in triangle = 180°
x + x + 14 + 90 = 180
2x + 104 = 180
2 (x + 52) = 180
x = (180 ÷ 2) - 52
x = 90 - 52
x = 38°
Lightly draw a vertical line at -3 (x= -3 is the divider) on the left side graph x + 1, on the right side graph 1/2x + 2.
because these equations don't match up at the -3 coordinate, you have to draw an open (not colored in) circle at the beginning at the 1/2x-2 equation
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:
Step-by-step explanation:
The computation of the volume of the cylinder is shown below:
As we know that
The Volume of the cylinder is
= base × height
= (4x)^2 + (5x)^2
=16x^2 + 25x^2
= 41x^3
Hence, the volume of the cylinder is 41x^3
Answer:
THE LENGTH OF THE STUDENTS PAINTING=15/3=5
THE BREADTH OF THE STUDENTS PAINTING=45/3=15
AREA OF THEIR PAINTING=15×5=75