Walter’s history test scores and Janine’s history test scores are shown on the dot plots below.
2 answers:
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First set up the equation based on the description.
x + 16 = 3x
Use subtraction to get the "x"s on one side of the equation. You can next subtract <span> x from both sides.
16 = </span>
<span> x
Now you can multiply both sides of the equation by </span>
<span> to solve for x
x = 6</span>
Use subtraction to get the "x"s on one side of the equation. You can next subtract <span>
16 = </span>
Now you can multiply both sides of the equation by </span>
x = 6</span>
Answer: the diagonal is 10 units
Step-by-step explanation:
The rectangle has 2 parallel and equal sides. Each of the 4 angles in a rectangle is 90°. Therefore, the diagonal of the rectangle divides it into 2 equal right angle triangles and the diagonal represents the hypotenuse of both right triangles.
To determine the length of the diagonal of the rectangle, d, , we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
d² = 5² + (5√3)²
d² = 25 + 25×3 = 100
d = √100
d = 10 units
