Answer:x = 7
Step-by-step explanation:
Similar figures have sides that are proportional. Setting up a proportion for the sides of the figures will help solve for 'x':
Cross-multiply: 3(x + 1) = 6(x - 3)
Distribute: 3x + 3 = 6x - 18
Combine like terms: 21 = 3x
Solve for 'x': x = 7
Chris started with $70 in the savings account
What is the equation representing the scenario?
The equation representing the scenario painted in the question is: one half times x plus 15 equals 50
1/2*X+15=50
X/2+15=50
X/2=50-15
X/2=35
X=35*2
X=70
In short the amount Chris started with in the savings account is $70
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The comlete question with the diagram is in the picture attached.
Answer:
Point
is the vertex of the angle marked in the figure.
Explanation:
When two lines intersect each other they will form an <em>angle</em> and the intersection point will be the <em>vertex of the angle</em>.
In the figure attached, the line that joins the points A and B and the line that joins the points C and D intersect at the point E, forming the corresponding angle (shadowed in the figure).
Such intersection point, which marks the angle, is the vertex of the angle.