Answer: X^2-x-1=y
Step-by-step explanation:
Multiply every number inside the parentheses
(X+3)(x-4)
X^2-4x+3x-1
Add all similar numbers and we get
X^2-X-1
Answer:
Step-by-step explanation:
z = 180 - (180 - 114.8) - 45.6 = 114.8-45.6 = 69.2°
Answer:
They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 3 times the second equation of System A.
Step-by-step explanation:
System A
2x + y = 5 --> (1)
−4x + 6y = −2 --> (2)
(1) + 3×(2)
-10x + 19y = -1
System B
−10x + 19y = −1 --> (1)
-4x + 6y = −2 --> (2)
Answer:
v = 132
Step-by-step explanation:
divide 792 by 6 to get v
Answer/Step-by-step explanation:
The angles where two unequal sides of a kite meet are congruent to each other. Thus, these two opposite angles in a kite are equal to each other.
Therefore:
7. <E = <G
Sum of interior angles of a quadrilateral = 360
Thus,
<E = (360 - (150 + 90))/2
<E = 120/2
<E = 60°
<E = <G (set of congruent opposite angles of a kite)
Therefore,
<G = 60°
8. <H = <F (set of congruent opposite angles of a kite)
<F = right angle = 90°
Therefore:
<H = 90°
<G = 360 - (90 + 110 + 90) (sum of quadrilateral)
<G = 70°
9. Based on trapezoid midsegment theorem, the equation should be:
MN = (AB + DC)/2
Thus:
8 = (14 + DC)/2
8 * 2 = 14 + DC
16 = 14 + DC
16 - 14 = DC
2 = DC
DC = 2
10. A kite has only one set of opposite angles that are congruent to each other. The angles where the unequal sides meet, <B and <D, is the only set of angles that are congruent.
Therefore, m<A ≠ 50°
Rather, m<B = m<D = 120°
m<A = 360 - (120 + 120 + 50) (sum of quadrilateral)
m<A = 70°
