Answers:
angle2 = 160 degrees
angle3 = 10 degrees
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Explanation:
The two triangles are congruent. We can prove this using SSS. The upper triangle is a mirrored copy of the lower triangle.
Since angle1 = 160 degrees, this means angle2 = 160 also. This is because the corresponding pieces of congruent triangles match up. Or you could use the second part of the hint which says "Opposite angles in a rhombus are congruent".
Let x be the measure of angle 3. For either isosceles triangle, it has congruent base angles measured x degrees. They add to the 160 degrees mentioned earlier to get a total of 180.
160+x+x = 180
2x+160 = 180
2x = 180-160
2x = 20
x = 20/2
x = 10
Angle 3 is 10 degrees.
Answer:
Step-by-step explanation:
- Initial amount = 2112 g
- Time = 188 days
- Half-life = 47 days
188 days / 47 days = 4 periods
<u>Mercury left after 188 days:</u>
- 2112 * (1/2)^4 =
- 2112* 1/16 =
- 2112/16 =
- 132 g
Answer:
201
Step-by-step explanation:
Answer:
I believe the answer is $2.25
Step-by-step explanation:
To figure this out, first you need to find 25% as a decimal. 25% as a decimal is .25 . Then, you multiply 9 by .25 . 9 * .25 = $2.25. You are saving $2.25 with the discount.
Hope this helps :)
<h2>
Explanation:</h2><h2>
</h2>
Here we have the following rational function:
So the graph of this function is shown in the First Figure below. Let's define another function which is a parent function:
Whose graph is shown in the second figure below. So we can get the graph of f from the graph of g this way:
Step 1. Shift the graph 3 units to the left:
Step 2. Shift the graph 2 units down:
Finally, the features of the graph of f are:
The graph of this function comes from the parent function g and the transformations are:
- A shifting 3 units to the left
