Answer:
8 < 2
Step-by-step explanation:
8x + 5 > 15
8x > 15 - 5
8x > 10
x < 2
cmiiw
answer:
A) The angles EA and AG are not congruent.
B) m∠F = 90°
m∠E + m∠F = 180°
90 ° + x = 180° (subtract)
x = 90°
C) Both ∠HEF and ∠AGF are congruent becuase they both have the same angle. Try and measure it using a protractor.
Answer:
Step-by-step explanation:
Part A : when comparing graphs : A system of equations will have no solutions (on a graph) when your lines never cross each other. They never cross each other because your lines are parallel.
Part B : by comparing each algebraic equation : A system of equations will have no solution if your lines are parallel. Parallel lines will have the same slope but different y intercepts. Example :
2x - y = 2
4x - 2y = 8
put both equations in slope intercept form
y = 2x - 2
y = 2x - 4
they both have the same slope of 2.....and the y intercepts are different....meaning they are parallel lines and have no solutions
So first find the distance from the bottom of the lumber to the wood
40^2= 36^2+X^2
X=304^1/2. Or the sqaure root of 304
The you use the sin equation
Sin90*\40= sin(unknown angle)/304^1/2
Sinx(x) = ((304^1/2)xsin(90))/40
X=arcsin((304^1/2)xsin(90))/40
Answer:
120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.
Step-by-step explanation:
We are given that a candy distributor needs to mix a 30% fat-content chocolate with a 40% fat-content chocolate to create 150 kilograms of a 32% fat-content chocolate.
Let the amount of 30% fat-content chocolate be 'x' and the amount of 40% fat-content chocolate be 'y'.
So, according to the question;
x + y = 150 ------------ [equation 1]
and 
x = 120 kg
Now, putting the value of x in equation 1, we get;
x + y = 150
120 + y = 150
y = 30 kg
Hence, 120 kg of 30% fat-content chocolate and 30 kg of 40% fat-content chocolate.
