Substitute y = 2x - 4 to x + 2y = 12:
x + 2(2x - 4) = 12 <em>use distributive property</em>
x + (2)(2x) + (2)(-4) = 12
x + 4x - 8 = 12 <em>add 8 to both sides</em>
5x = 20 <em>divide both sides by 5</em>
x = 4
Put the value of x to the first equation:
y = 2(4) - 4
y = 8 - 4
y = 4
<h3>Answer: x = 4 and y = 4</h3>
Answer:In order to calculate the volume of a composite figure, first you separate the two figures.Then, find the volume for each figure by multiplication.Lastly, add the volumes of the two shapes.
Step-by-step explanation I checked by the sample response.
Distribute first so
2x-x+2=2-x+1
Combine like terms so
x+2=3-x
Get terms on the same side so
2x+2=3
Subtract 2
2x=1
Divide
X=1/2 or .5
Answer:
C) m∠H = 85°
Step-by-step explanation:
<em>KL is the mid-segment of the triangle</em>, and is correlated with line GH, therefore, they are parallel. This means that <em>m∠K = m∠G and m∠L = m∠H</em>, because they are corresponding and on parallel lines.
By substitution, m∠H = 85°