Karla writes this sentence:
2 answers:
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ANSWER
EXPLANATION
We want to find the equation for the relationship shown in the table.
The relationship shown in the table represents a linear relationship. The general form of a linear equation is:
where m = slope
b = y-intercept
To find the slope of the equation, apply the formula:
where (x1, y1) and (x2, y2) are two sets of values from the table.
Let us take (3, 7) and (5, 11) as (x1, y1) and (x2, y2)
Hence, the slope of the equation is:
Now, to find the equation of the line, apply the point-slope method:
Therefore, the equation that shows the relationship in the table is:
The correct option is option C.
Answer:
The angle measures of Δ VUW are m∠V = 60°, m∠U = 90°, m∠W = 30° ⇒ last answer
Step-by-step explanation:
In any triangle if the sum of the squares of the shortest two sides is equal to the square of the longest side, then the triangle is a right triangle and the angle opposite to the longest side is the right angle
In Δ VUW
∵ WV = 6 cm
∵ WU = 3 cm
∵ UV = 3 cm
- Use the rule above tho check if it is a right Δ or not
∴ The longest side is WV
∴ The shortest two sides are WU and UV
∵ (WV)² = (6)² = 36
∵ (WU)² + (UV)² = (3 )² + (3)² = 27 + 9 = 36
∴ (WV)² = (WU)² + (UV)²
- That means ∠U which opposite to WV is a right angle
∴ Δ VUW is a right triangle at ∠U
∴ m∠U = 90°
Let us use the trigonometry ratios to find m∠W and m∠V
→ sin Ф =
∵ UV is the opposite side of ∠W
∵ WV is the hypotenuse
∵ sin(∠W) =
∵ sin(∠W) =
- Use to find ∠W
∴ ∠W =
∴ m∠W = 30°
∵ WU is the opposite side of ∠V
∵ WV is the hypotenuse
∵ sin(∠V) =
∵ sin(∠V) =
- Use to find ∠V
∴ ∠V =
∴ m∠V = 60°
The angle measures of Δ VUW are m∠V = 60°, m∠U = 90°, m∠W = 30°