The answer to your question is x = 6
Y=20
You can plug in 11 for X and do the math from there on
Answer:
x = 29
Step-by-step explanation:
Given that both triangles are congruent to each other, therefore, their corresponding angles are congruent as well. This means all three angles in one is the same as all three corresponding angles of the other.
Therefore:
m<CAB = m<CDE = 74°
m<ABC = 2x (given)
m<BCA = 48° (given)
Thus:
m<CAB + m<ABC + m<BCA = 180° (sum of triangle)
Substitute
74 + 2x + 48 = 180
Add like terms
2x + 122 = 180
2x + 122 - 122 = 180 - 122
2x = 58
2x/2 = 58/2
x = 29
Answer:
The area of Ralph's dog pen is 2.05 times larger than the area of Ruth's dog pen.
Step-by-step explanation:
Given that the dog pen for Ruth's dog is 7 feet long and 6 / 1.3 feet wide, while her friend Ralph's dog pen is 14 feet long and 6 / 1.2 feet wide, to determine how many times larger is the area of Ralph's dog pen, the following calculation must be performed:
1/3 = 0.333
1/2 = 0.5
7 x 6.333 = X
44,333 = X
14 x 6.5 = X
91 = X
44,333 = 100
91 = X
91 x 100 / 44.333 = X
9,100 / 44,333 = X
205.26 = X
100 = 1
205.26 = X
205.26 / 100 = X
2.05 = X
Thus, the area of Ralph's dog pen is 2.05 times larger than the area of Ruth's dog pen.
