Answer:
Here is some helpful information from my mini lessons.
Step-by-step explanation:
If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal. To determine if the triangles shown are similar, compare their corresponding sides. Here you'll learn that the ratio of the perimeters of similar figures is equal to their scale factor and that the ratio of their areas is equal to the square of their scale factor. If two polygons are similar, then the ratio of the lengths of any two corresponding sides is called the scale factor. This means that the ratio of all parts of a polygon is the same as the ratio of the sides.
Answer:
Step-by-step explanation:
Let:
We need to eliminate one of the variables, so let's use elimination method. First multiply (1) by 2
Now subtract (2) from 2*(1) in order to eliminate x:
Solving for y:
Multiplying both sides by -1
Finally, replacing the value of y in (1)
Solving for x:
add 41 to both sides:
Multiply both sides by 1/2:
Answer:
height: 36 cm
Step-by-step explanation:
volume of triangle prism = 0.5 * base * altitude * height
using the formula:
0.5 * 8 * 6 * height = 864
24 * height = 864
height = 864/24
height = 36 cm
Answer:
2
Step-by-step explanation:
because for every 3 teaspoons of salt he will have 1 tablespoon of salt and 6 divided by 3 is 2
Answer:
FG = 16
Step-by-step explanation:
we can state that ΔEFG ≅ ΔEHG due to the Angle-Angle-Side postulate
this means that FG = GH
we can use this equation to solve for 'x':
x + 11 = 3x + 1
11 = 2x + 1
10 = 2x
5 = x
FG = x + 11 or 5 + 11, which is 16
