Step-by-step explanation:
Given that,
DE = 8x - 13
EF = 5x + 17
DF = x + 21
Also,
DE = EF
which means that,
8x - 13 = 5x + 17
8x - 5x = 17 + 13
3x = 30
x = 30/3
x = 10
Now,
DE = 8x - 13 = 8×10 - 13 = 80 - 13 = 67cm
EF = 5x + 17 = 5×10 + 17 = 50 + 17 = 67cm
DF = x + 21 = 10 + 21 = 31cm
AAS.
The vertical angle.
The marked angle.
And the marked side.
Answer:
Length of diagonal is 7.3 yards.
Step-by-step explanation:
Given: The diagonal distance from one corner of the corral to the opposite corner is five yards longer than the width of the corral. The length of the corral is three times the width.
To find: The length of the diagonal of the corral.
Solution: Let the width of the rectangular garden be <em>x</em> yards.
So, the length of the diagonal is 
width of the rectangular corral is 
We know that the square of the diagonal is sum of the squares of the length and width.
So,







Since, side can't be negative.

Now, length of the diagonal is
Hence, length of diagonal is 7.3 yards.
Answer: <em>10 + 9 </em>
Step-by-step explanation:
<em>1. Distribute: 3(6+3) - (8-x) = 18 + 9 - (8)</em>
<em>2. Eliminate redundant parentheses: 18 + 9 - (8) = 18 + 9 - 1 ⋅ 8</em>
<em>3. Multiply the numbers: 18 + 9 - 1 ⋅ 8 = 18 + 9 - 8 </em>
4. Combine like terms: 18 + 9 - 8 = 10 + 9
<em>⋅</em>
<em />
Answer:
x+2y=6
Subtract 2y from both sides.
x=6−2y
Step-by-step explanation:
x=6-2y