= 16 + 49 - 3(11) - 4(10)
= 16 + 49 - 33 - 40
= -8
Answer:
-3.5 or -6
Step-by-step explanation:
2x^2+19x+40=-2
2x^2+19x+40+2=0
2x^2+19x+42=0
2x^2+(12+7)x+42=0
2x^2+12x+7x+42=0
2x(x+6)+7(x+6)=0
(x+6)(2x+7)=0
either,
x+6=0
x=-6
or,
2x+7=0
2x=-7
x=-7/2
x=-3.5
What is the inequality between these two fractions 1/2 2/4: answer =...so you would write it out like this 1/2=2/4
Volume = length x width x height
V = 4 x 3 x 3
4 x 3 = 12
V = 12 x 3
V = 36 cubic cm.
1 cubic cm. = 1 ml.
36 cubic cm. x 12 compartments = 432 cubic cm.
432 cubic cm. = 432 cubic ml.
The measure of ∠BAF is 54°.
Solution:
DF and CE are intersecting lines.
m∠EAF = 72° and AB bisects ∠CAF.
∠EAF and ∠DAC are vertically opposite angles.
Vertical angle theorem:
<em>If two lines are intersecting, then vertically opposite angles are congruent.</em>
∠DAC ≅ ∠EAF
m∠DAC = 72°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠DAE + m∠EAF = 180°
m∠DAE + 72° = 180°
Subtract 72° from both sides.
m∠DAE = 108°
∠CAF and ∠DAE are vertically opposite angles.
⇒ m∠CAF = m∠DAE
⇒ m∠CAF = 108°
AB bisects ∠CAF means ∠CAB = ∠BAF
m∠CAB + m∠BAF = 108°
m∠BAF + m∠BAF = 108°
2 m∠BAF = 108°
Divide by 2 on both sides, we get
m∠BAF = 54°
Hence the measure of ∠BAF is 54°.
