Answer:
(-5, 3)
Step-by-step explanation:
Let O(x, y) be the centroid of the triangle.
The median of a triangle is a line segment that joins the vertex of a triangle to the midpoint of the opposite side. There are three medians in a triangle; and the medians of a triangle intersect at a point called the centroid.
The centroid of a triangle is gotten from the average of the x coordinates and the y coordinates of all the three vertices.
For Triangle ABC has vertices A (3,-3) B (-7,9) C (-11,3) and centroid O(x, y). Hence:
The centroid is at (-5, 3)
In other terms, the Transitive Property states that if ∠a = ∠b and ∠b = ∠c, then ∠a = ∠c. So, if ∠XYZ = ∠AOB and ∠AOB = ∠WYT, then ∠XYZ = ∠WYT. The correct answer here would be B.
Answer:
1) 24
2) 36
3) 144
Step-by-step explanation:
Order of operations are the operations in which you must complete multiple-operation equations.
Here's an acronym to help you remember the order of operations.
PEMDAS:
- Exponentiation (exponents)
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7 × 3 + (18 - 9) ÷ 3
First, as stated by the order of operations, solve what is in parenthesis.
7 × 3 + (18 - 9) ÷ 3
7 × 3 + 9 ÷ 3
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There are no exponents.
Further, we solve the multiplication problem(s).
7 × 3 + 9 ÷ 3
21 + 9 ÷ 3
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Moreover, we solve the division problem(s).
21 + 9 ÷ 3
21 + 3
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Lastly, we solve the remaining addition problem(s).
21 + 3
24
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Now, we solve the remaining equations using order of operations (PEMDAS).
(7 × 3) + (18 - 9 ÷ 3)
21 + (18 - 9 ÷ 3)
21 + 18 - 3
39 - 3
36
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7 × (3 + 18) - 9 ÷ 3
7 × 21 - 9 ÷ 3
147 - 9 ÷ 3
147 - 3
144
The length of the enlarged copy in feet is 2.7 feet.
<u>Step-by-step explanation</u>:
- The painting is 4 inches wide and 2 feet long.
- convert inches into feet (1 inch=0.083 foot). Therefore, 4 inches=0.3 feet
- The enlarged copy is 1 foot wide and 'x' feet long.
The width is enlarged from 0.3 to 1 which is increased by 0.7 feet.
∴ The length should also be increased by 0.7 feet = 2+0.7 = 2.7 feet
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