Given that:
The triangle ABC and its image are shown below.
Step-by-step explanation:
In the below figure triangle A'B'C' is the image of triangle ABC.
We need to sketch a possible line that triangle ABC could translate along to create its image.
So, connect the corresponding vertices. So, the required lines are AA', BB' and CC '.
In translation, each point of the figure is shifted from point to another point in a particular distance and direction.
Point A, B and C are shifted to A' B' and C' respectively. So AA', BB' and CC' represents the distance and direction of translation.
From the figure it is clear that triangle ABC shifted 10 units right and 6 units down.
That's false. If they share a congruent angle and the sides adjacent to it are
also congruent, then the triangles are also congruent. In order for them to be
similar, all that's necessary besides the congruent angle is that each side
adjacent to it be in the <em>same ratio</em> between the two triangles.
Answer:
The family spends 41/60 of its income on these items altogether.
Step-by-step explanation:
Given that a family spends 1/10 of it's annual income for housing, 1/4 for food and clothing, 1/5 for general expenses and 2/15 for entertainment, to determine what fractional part of their income is spent on these items altogether the following calculation must be performed:
10, 4, 5, and 15 have a common least multiple at 60.
1/10 = 6/60
1/4 = 15/60
1/5 = 12/60
2/15 = 8/60
6 + 15 + 12 + 8 = 41
Therefore, the family spends 41/60 of its income on these items altogether.
.25(16x + 12) + 2x = 33
The first step is to distribute the .25 to what's inside the parentheses!
((16x*.25) +(12*.25)) + 2x = 33
Simplify...
4x + 3 +2x = 33
Add like terms...
6x + 3 = 33
Subtract three from both sides
6x + 3 - 3 = 33 - 3
Simplify
6x = 30
Divide each side by six
6x/6 = 30/6
Simplify
x = 5
That's your answer; x = 5! Hope this helped :)
Answer:
Step-by-step explanation:
