One-third times the difference of a number and 5 is Negative two-thirds. Which equation best shows this? One possible first step
2 answers:
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Answer:
Each of them had $49 at first.
Step-by-step explanation:
Given:
Cedric and Doug each had an equal amount of money.
Let the number of money they had at first be x
Cedric spent = $35
Doug spent = $28
Cedric Money left =
Doug Money left =
the ratio of Cedric money to Doug money was 2:3
Hence the expression can be made as;
Now by cross multiplication method we get;
Now we will use distributive property to elaborate the same;
Combining common terms we get;
Using Subtraction property we get;
Hence $49 they each had at first.
Answer:
5 units
Step-by-step explanation:
Let point O be the point of intersection of the kite diagonals.
|OF| = 2, |OH| = 5
|FH| = |OF| + |OH| = 2 + 5 = 7
FH and EG are the diagonals of the kite. Hence the area of thee kite is:
Area of kite EFGH = (FH * EG) / 2
Substituting:
35 = (7 * |EG|) / 2
|EG| * 7 = 70
|EG| = 10 units
The longer diagonal of a kite bisects the shorter one, therefore |GO| = |EO| = 10 / 2 = 5 units
x = |GO| = |EO| = 5 units
<em>Question 5</em>
Vertical angles are <u>congruent</u>. Therefore, . The sum of two supplementary angles equals
.
Therefore,
<em>Question 6</em>
<em>Question 7</em>
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<em>Question 8</em>
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