Answer: the perimeter of the larger triangle is 22 units
Step-by-step explanation:
The diagram of both triangles is shown in the attached photo. The isosceles triangles are triangle ABC and triangle DEF
Perimeter of triangle ABC = 11
For an isosceles triangle, the other two sides are equal. If one equal side is x, then the sum of the two equal sides is x+x = 2x
Perimeter of triangle = sum of the lengths of the 3 sides. Therefore,
11 = 5 + 2x
2x = 11-5 = 6
x = 6/2 = 3
The base of the similar triangle is 10. It means that it is 2 times the base of the smaller triangle. That means the scale factor is 2. Therefore,
If the perimeter of the small triangle is 11, the Perimeter of the larger triangle will be 2 × perimeter of the smaller triangle. This becomes
2 × 11 = 22 units.
It can also be determined by adding the length of each side
3×2 + 3×2 + 5×2 = 6+6+10 = 22 units
Answer:
Equation: 10+x= 15 +0.5x
Time: 10 days
Amount: 20$
Step-by-step explanation:
<u>Equation for Benito:</u>
<u>Equation for Tavon:</u>
<u>Since the sums equalize at some time, we get:</u>
- 10+x= 15 +0.5x
- x - 05x = 15- 10
- 0.5x = 5
- x= 5/0.5
- x= 10 days
After 10 days, Juan will owe both Benito and Tavon $20
Answer:

Step-by-step explanation:
Given
The attached triangle
Required
Find x
Considering angle 30 degrees,


Using the tangent formula:

Make x the subject



