4. 28.5 squared centimeter
5. height=18 ft
7. The triangle will be bigger. Since this scale factor is 4, then that means that the 2-D plane will be bigger.
8. The perimeter will get bigger.
Answer:
Figure M
Step-by-step explanation:
Figure P has vertices at points (-2,4), (-2,8), (-6,8) and (-6,6).
Consider figure M with vertices (-4,-4), (-4,-8), (-8,-8) and (-8,-6).
1. Translate figure M 2 units to the right. This translation has the rule:
(x,y)→(x+2,y),
so
- (-4,-4)→(-2,-4);
- (-4,-8)→(-2,-8);
- (-8,-8)→(-6,-8);
- (-8,-6)→(-6,-6).
2. Reflect the translation image figure M across the x-axis according to the rule
(x,y)→(x,-y)
Thus,
- (-2,-4)→(-2,4);
- (-2,-8)→(-2,8);
- (-6,-8)→(-6,8);
- (-6,-6)→(-6,6).
Answer:
x = 1 +√5
Step-by-step explanation:
There are different formulas for the area of a triangle available, depending on the given information.
<h3>Formulas</h3>
When two sides and the angle between them are given, the relevant area formula is ...
Area = 1/2(ab)sin(C)
When the base and height of a triangle are given, the relevant area formula is ...
Area = 1/2bh
<h3>Equal Areas</h3>
The problem statement tells us the two triangles shown have equal areas. That means the two formulas will give the same result.
Area from angle = Area from base/height
1/2(x·x)sin(30°) = 1/2(x-2)(x+1)
x² = 2(x² -x -2) . . . . . . . . . . . use sin(30°) = 1/2, multiply by 4
x² -2x -4 = 0 . . . . . . . . subtract x², eliminate parentheses
(x -1)² = 5 . . . . . . . . . add 4+1 to complete the square
<h3>Value of x</h3>
x = 1 ± √5 . . . . . . take the square root, add 1
The value of x must be greater than 2 in order for the triangle side lengths to be positive. (x-2 > 0) This means x = 1-√5 is an extraneous solution.
The value of x is 1 +√5.
length+ breadth and 2×side
Step-by-step explanation:
4÷2 =2
5×2=10
10+2=12
12 ans
