4x - 2x + 8 = 6(x + 4) Given
(4x - 2x) + 8 = 6(x + 4)
2x + 8 = 6(x + 4) Combine like terms
2x + 8 = (6)(x) + (6)(4)
2x + 8 = 6x + 24 Distributive Property
2x - 6x + 8 = 6x - 6x + 24
-4x + 8 = 24 Subtraction Property of Equality
-4x + 8 - 8 = 24 - 8
-4x = 16 Subtraction Property of Equality
-4x : (-4) = 16 : (-4)
x = -4 Division Property of Equality
Answer:
∠C = 80 ° ; ∠ T = 40°.
Step-by-step explanation:
Triangle CRS is isosceles because it has two sides of equal length. (CR and CS are radii).
An isosceles triangle has also two equal angles, which means that ∠CRS= ∠CSR.
Therefore, ∠C = 80 ° (180° – 50° - 50°) because the sum of angles in a triangle is 180 degrees.
∠C is the central angle of the arc RS.
∠ T is the inscribed angle of the arc RS.
An inscribed angle is half of a central angle that subtends the same arc on the circle, so the inscribed angle ∠ T is half of the central angle ∠C. Since ∠C = 80 °, we can easily determine the measure of ∠ T:
80° divided by 2 is 40°.
Answer:
x=9 and y=3
Step-by-step explanation:
Let's solve your system by substitution.
−4x+6y=−18 and y=−2x+21
Rewrite equations:
y=−2x+21;−4x+6y=−18
Step: Solve y=−2x+21for y:
y=−2x+21
Step: Substitute−2x+21foryin−4x+6y=−18:
−4x+6y=−18
−4x+6(−2x+21)=−18
−16x+126=−18(Simplify both sides of the equation)
−16x+126+−126=−18+−126(Add -126 to both sides)
−16x=−144
−16x
−16
=
−144
−16
(Divide both sides by -16)
x=9
Step: Substitute9forxiny=−2x+21:
y=−2x+21
y=(−2)(9)+21
y=3(Simplify both sides of the equation)
Answer:
x=9 and y=3
Answer:
3.625
step by step explanation :
I just simply searched it up
Answer:
80 glasses
Step-by-step explanation:
640/8 = 80
Answer: 80 glasses
