Let 1st integer be x and next consecutive be x+1
1/2•x + 1/5•(x+1) = 10
x/2 + x/5 + 1/5 = 10
-1/5 -1/5
x/2 + x/5 = 49/5
(x/2)•5/5 + (x/5)•2/2 = 49/5
5x/10 + 2x/10 = 49/5
7x/10 = 49/5
•10 •10
7x = 98
÷7 ÷7
x = 14 --> 1st integer
x+1 = 14+1 = 15 --> next consecutive integer
Answer:
Step-by-step explanation:
<u>Given equation:</u>
<u>Completing the square and solving for p:</u>
- p² - 2*4*x + 4² + 5 = 6
- (p - 4)² = 1
- p - 4 = ± 1
- p = 5, p = 3
A translation of triangle XYZ is triangle B shifted by 7 units to left.
Given that, triangle XYZ (2, 4), (5, 5) and (3, 0).
<h3>What is translation?</h3>
A translation moves a shape up, down or from side to side but it does not change its appearance in any other way. Translation is an example of a transformation. A transformation is a way of changing the size or position of a shape. Every point in the shape is translated the same distance in the same direction.
We can see from given figure ΔXYZ and the triangle B are alike.
From ΔXYZ translated to triangle B by 7 units left.
Therefore, a translation of triangle XYZ is triangle B shifted by 7 units to left.
To learn more about the translation visit:
brainly.com/question/8797028.
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The measure of the smallest angle is 36 degrees. Let me know if you would like me to show you how I got it.