<h3>
Answer: w = 31</h3>
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Explanation:
For any triangle, the interior angles always add to 180
(angle1)+(angle2)+(angle3) = 180
(w) + (4w-6) + (w) = 180
(w+4w+w) - 6 = 180
6w - 6 = 180
6w - 6+6 = 180+6 .... adding 6 to both sides
6w = 186
6w/6 = 186/6 ..... divide both sides by 6
w = 31
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Extra info:
This value of w leads to
4w-6 = 4*31-6 = 118
The three angles of the triangle are: 31, 118, 31
Because we have two congruent angles, this means the triangle is isosceles. The sides opposite the congruent angles are the same length.
Answer:
√7 is less than 14/5
Step-by-step explanation:
√7 equals about 2.6
14/5 equals 2.8
Answer:
y = (-4/3)x + 6
Step-by-step explanation:
The Y-intercept of the graph is 6. You can find the slope by following rise over run, or the change in y divided by the change in x. From (0,6) to (3,2), there is a negative 4 change in y and positive 3 change in x.
The dilation scale factor is applied to all lengths.
... A'B' = (10 in)×25 = 250 in.
Step-by-step explanation:
1. (2+4+1)/9 = 7/9
2. 2 1/3 + 2/3 = 2 + (1+2)/3 = 2 + 3/3 = 2+1 = 3
3. 1 1/5 + 2 3/5 = 1+2 + 1/5 + 3/5 = 3 + (1+3)/5 =
3 4/5
4. 5/6 + 2/10 + 1/5 = 5/6 + 1/5 + 1/5 = 5/6 + 2/5
= (5×5)/(6×5) + (2×6)/(5×6)
= 25/30 + 12/30
= (25+12)/30
= 37/30 = 1 7/30
5. 3 1/2 + 4 2/3
= 3+4 + 1/2 + 2/3
= 7 + (1×3)/(2×3) + (2×2)/(3×2)
= 7 + 3/6 + 4/6
= 7 + (3+4)/6 = 7 7/6 = 8 1/6
6. 9/13 - 5/13 = (9-5)/13 = 4/13
7. 7 6/8 - 5 2/8
= (7-5) + (6/8 - 2/8)
= 2 + 4/8
= 2 1/2
8. 2/3 - 3/7
= (2×7)/(3×7) - (3×3)/(7×3)
= 14/21 - 9/21 = (14-9)/21 = 5/21
9. 11 1/5 - 5 4/5
= 10 6/5 - 5 4/5
= (10-5) + (6/5 - 4/5)
= 5 + 2/5 = 5 2/5
10. 15 4/5 - 7 7/10
= (15-7) + (4/5 - 7/10)
= 8 + (4×2)/(5×2) - 7/10
= 8 + 8/10 - 7/10
= 8 + 1/10
= 8 1/10
