The step of Talia that's incorrect is: C. step 3 because the slope ratio she calculated is incorrect.
<h3>What is the Slope?</h3>
The slope of a line (m) = rise/run = change in y / change in x.
Calculating the slope using two points on the line, (2, 5) and (1, 3), we should have:
Slope (m) = (5 - 3)/(2 - 1)
Slope (m) = (2)/(1)
Slope (m) = 2
This shows that the ratio of the slope calculated by Talia was wrong. The step that is incorrect is: C. Step 3
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Since all sides of the square are equal,therefore perimeter of square = 4*side
we have the perimeter = 96 cm
therefore,
96 = 4*side
side = 96/4 = 24 cm
Answer:
( - 2 - 5m ) / 3
Step-by-step explanation:
15m + 9n = - 6
9n = - 6 - 15m
Divide by 3 on both sides,
9n / 3 = - 6 / 3 - 15m / 3
3n = - 2 - 5m
n = ( - 2 - 5m ) / 3
Answer:
Step-by-step explanation:
Triangle RST is a right angle triangle.
From the given right angle triangle
RT represents the hypotenuse of the right angle triangle.
With 26 degrees as the reference angle,
ST represents the adjacent side of the right angle triangle.
RS represents the opposite side of the right angle triangle.
1) To determine RS, we would apply trigonometric ratio
Sin θ = opposite side/hypotenuse Therefore,
Sin 26 = RS/9.1
RS = 9.1Sin26 = 9.1 × 0.4384
RS = 4.0
2) To determine ST, we would apply trigonometric ratio
Cos θ = adjacent side/hypotenuse Therefore,
Cos 26 = ST/9.1
ST = 9.1Cos26 = 9.1 × 0.8988
ST = 8.1
3) The sum of the angles in a triangle is 180 degrees. Therefore,
∠R + 26 + 90 = 180
∠R = 180 - (26 + 90)
∠R = 64 degrees
Answer:
13 is the number.
Step-by-step explanation:
Given:
Twice the difference of a number and 9 equals 8.
Let the unknown number be 'x'.
Therefore, as per question:
The difference of 'x' and 9 = 
Twice the difference means 2 times the difference. So, we multiply 2 to the difference. Therefore,
Now, the above expression is equal to 8. So, we equate the above expression to 8. This gives,
Solving for 'x', we get:
Using distributive property of addition and distributing 2 inside the bracket. This gives,
Therefore, the unknown number is 13.
Now, we can verify our answer.
Therefore, the answer is correct.
