Answer:
see the explanation
Step-by-step explanation:
we know that
In a Rhombus opposite angles are congruent and consecutive angles are supplementary
The diagonals are perpendicular and bisect the angles
so
step 1
Find the measure of angle 4
we know that
--->by the diagonals bisect the angles
step 2
Find the measure of angle 1
we know that
----> by opposite angles are congruent
step 3
Find the measure of angle 2
we know that
----> by the diagonals bisect the angles
so
step 4
Find the measure of angle 3
we know that
----> by the diagonals are perpendicular
step 5
Find the measure of angle 5
we know that
----> by complementary angles
step 6
Find the measure of angle 6
we know that
----> by the diagonals bisect the angles
1. x^2 + 13x + 36 = 0
using powerful & time-sparing quadratic formula :
delta = 13^2 - 4*1*36 = 25 = 5^2
x1 and x2 = (-13 -/+ 5)/2 = -9 and -4
x^2 + 13x + 36 = (x+9)(x+4)
2. other way : complete the square
b^2 + 12b + 32 = b^2 + 2*6b + 6^2 - 6^2 + 32
b^2 + 12b + 32 = (b+6)^2 - 4
b^2 + 12b + 32 = (b+6-2)(b+6+2) = (b+4)(b+8)
3. other way : -4 "ovious" solution : (-4)^2 - (-4) -20 = 0
so the other is : -4 . a2 = -20/1 ---> a2 = 5
a^2 - a - 20 = (a-5)(a+4)
<span>C) Right
https://www.desmos.com/calculator/vf2qksnpwe
</span>right triangle
<span>Proof: You can apply the Pythagorean theorem.</span>
