Answer:
Option C.
Step-by-step explanation:
By the property of unique triangles (ASA), one side is included between the two angles.
By this property, if included side of the triangle ABC is AB then this side will be included between the two angles A and B.
Therefore,
is included between ∠A and ∠B.
Option C. will be the answer.
The computer cost is $3000
Step-by-step explanation:
The given is:
- The ratio of the price of a tv to the price of a computer is 13 : 15
- The tv 400 dollars cheaper than the computer
We need to find the cost of the computer
Assume that the price of the computer is $x
∵ The ratio between the prices of the tv and the computer is 13 : 15
∵ The price of the computer is $x
∵ The price of the tv 400 dollars cheaper than the computer
- That means the price of the tv is less than the price of the
computer by $400
∴ The price of the tv is $(x - 400)
By using the ratio method
→ tv : computer
→ 13 : 15
→ (x - 400) : x
By using the cross multiplication
∴ 15(x - 400) = 13(x)
- Simplify the left hand side
∴ 15x - 6000 = 13x
- Add 6000 to both sides
∴ 15x = 13x + 6000
- Subtract 13x from both sides
∴ 2x = 6000
- Divide both sides by 2
∴ x = 3000
The computer cost is $3000
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Answer:
45d + 42
Step-by-step explanation:
-7(-7d - 6) - 4d
49d + 42 - 4d
49d - 4d + 42
45d + 42
Answer:
a. Linear relationship.
Step-by-step explanation:
Negative correlation describes a relationship of two variables in which one variable increases while the other decreases. It shows the the level at which the variables moves in opposite directions to each other.
In the given example, the two variables are inversely proportional. On plotting the variables against each other, it would have a downward slope. The correlation coefficient, r = -0.94, shows that the number of tardies of a student, x, and grade point average (GPA), y, have a linear relationship. As correlation coefficient is a measure of linear relationship, which could be negative, zero, or positive.