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6+4:2*10
6+2*10
<h2>26</h2>
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Answer:
x=110° y=140°
Step-by-step explanation:
x=180°-70°
x=110°
x=110°
y=x+30°
y=110°+30°
y=140°
Answer:
9 1/3
Step-by-step explanation:
1. Make 4 2/3 into a improper fraction
4 2/3= 14/3
2. Keep, change, flip
14/3 x 2/1
3. Multiply
14/3 x 2/1= 28/3
4. Simplify
28/3= 9 1/3
(btw keep, change, flip basically means to keep the first fraction the way it is, change the division sign to a multiplication sign, then flip the second fraction so the original denominator is the new numerator, and vise versa.)
ANSWER
The length of the diagonal is 5 ft
EXPLANATION
The diagram of the rug with the diagonal is:
The diagonal and the sides form a right triangle, so we can use the Pythagorean theorem to find x, the length of the diagonal:
![\begin{gathered} x^2=3^2+4^2 \\ x=\sqrt[]{9+16} \\ x=\sqrt[]{25} \\ x=5 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%5E2%3D3%5E2%2B4%5E2%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B9%2B16%7D%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B25%7D%20%5C%5C%20x%3D5%20%5Cend%7Bgathered%7D)
To answer this question, we must find the slope of line b.
We have then:
b = (3 - (- 2)) / (2 - (- 3))
b = 5/5
b = 1
Since the lines b and c are parallel, it follows that their slopes are equal.
Then
mc = b = 1
Answer:
The slope of line c is:
mc = 1
