Answer:
Step-by-step explanation:
The two inside angles will sum to 180°.
The top to angles are equal.
Think about this as what if both of the parallel lines were intersected by a perpendicuar line. Every angle would be a right triangle 90°. The inside angles will sum to 180° and the opposite angles are again equal.
(2x + 18) + (8x + 12) = 180
10x + 30 = 180
10x = 150
x = 15
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(3y - 18) = (8x + 12) x = 15
(3y - 18) = (8(15) + 12)
(3y - 18) = (120 + 12)
(3y - 18) = 132
3y = 132 + 18
3y = 150
y = 50
Answer:
The side lengths and the angles of the shape are always preserved.
Step-by-step explanation:
Answer:
- laura's distance = max's distance + 2 3/4 feet
- max's distance = 5 feet 5 inches
Step-by-step explanation:
If you consider the English-language meaning of the description of the distances, you can see there might be several ways you could write an equation that says the same thing. Some of them are ...
laura's distance = max's distance + 2 3/4 feet
laura's distance - max's distance = 2 3/4 feet
laura's distance - 2 3/4 feet = max's distance
The first of these equations is shown as an answer above. The last of these equations gives max's distance directly, so is the most useful for finding that value.
laura's distance - 2 3/4 feet = max's distance
8 1/6 feet - 2 3/4 feet = max's distance
5 5/12 feet = max's distance . . . . . . do the arithmetic
_____
Describing addition and subtraction of mixed numbers is beyond the scope of this answer. Many calculators can work with fractions directly, in case you cannot do it by hand.
The fraction based on the information given illustrated for each person.
<h3>How to illustrate the information?</h3>
Me: $14.89
Friend 1: $7.27
Friend 2: $25.67
Friend 3: $11.59
Total = $59.42
The fraction for each person will be:
Me: $14.89 = 14.89/59.42 = 0.25
Friend 1: $7.27 = 7.27/59.42 = 0.12
Friend 2: $25.67 = 25.67/59.42 = 0.32
Friend 3: $11.59 = 11.59/59.42 = 0.195
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The equation which relates the mass and length according to the task content is; l = (3/10)m.
<h3>What is the equation of proportionality?</h3>
From the task content, it follows that the proportional relationship is direct. Hence, the constant of proportionality k can be evaluated as follows;
l = k × m
Hence, k = l/m = 9/30 = 3/10.
Therefore, the proportional relationship is given by the equation; l = (3/10)m
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