Answer:
{x +4} {x+3} =0
Step-by-step explanation:
The equation is given as :
x² + 7x + 12 =0
Find multiples of 12 that can add to give +12 ------3 * 4
The equation can then be written as;
x² + 3x + 4x + 12 = 0 ------factorize
x{ x + 3 } + 4 { x +3 } = 0
{x+4 } {x + 3} = 0
Answer : {x +4} {x+3} =0
Answer:
see explanation
Step-by-step explanation:
∠ 1 = ∠ 4 ( corresponding angles ), then
∠ 1 = 102°
∠ 2 = ∠ 3 ( corresponding angles ), then
∠ 2 = 78°
Answer:
Y=2x+2
Step-by-step explanation:
2x is the positive gradient
and +2 is where it passes through the y axis
The perpendicular distance from Frank to the height of statue of Liberty is 306-5.5 = 300.5 ft .
And frank stand 400 feet away from the base of the statue , so base=400 feet
Since tangent function establish relationship between height and base, so we use tanhere.
So the correct option is the first option .
Two triangle ABE and MNP are similar by AA criterion
Step-by-step explanation:
Given that ABE is an isosceles Δ with ABE= 100°
this means that some of the other two angles must be =180°-100°=80°
Since the triangle is an isosceles Δ meaning two sides measure must be equal, it means the other two sides measure 40° each.
∠BAC=∠ACB=40°
In MNP one of the base angles is 40° and the triangle is isosceles. For an isosceles triangle base angles are always equal hence other base angle is also 40° meaning
the angle measures come out to be 40°,40° and 100°
Since all the angle measures are same the two triangles are similar in aspect by AA criterion where AA refers to "angle-angle"
