Answer:
There are three main types of congruence transformations: reflections (flips), rotations (turns), and translations (slides). These congruence transformations can be used to obtain congruent shapes or to verify that two shapes are congruent
Answer:
Step-by-step explanation:
Given that the population of a city increased steadily over a ten-year span. The following ordered pairs show the population x and the year y over the ten-year span in the form (x, y) for specific recorded years.
x y
2500 2001
2650 2002
3000 2004
3500 2007
4200 2011
Slope 0.005865485
Intercept 1986.406413
So regression line is
When population = 15000
Based on the information, it should be noted that the value of x is 3 and the measure of angle HEB will be 27°.
<h3>How to illustrate the information?</h3>
It should be noted that complementary angles are the angles that are equal to 90°.
Therefore, based on the information given, the expression will be illustrated thus:
19x + 6 + 9x = 90°
Collect like terms
28x = 90° - 6°
28x = 84
Divide through by 28
28x / 28 = 84/28
x = 3
Therefore, the value of HEB will be:
= 9x
= 9 × 3
= 27°
Therefore, based on the information, it should be noted that the value of x is 3 and the measure of angle HEB will be 27°.
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To find 15% of something, you would multiply 0.15 by the number you are trying to find 15% of.
Answer:
The range of possible values for the third side called c is;
11 > c or c < 11
Step-by-step explanation:
Here in this question, we are concerned with giving the range of the third side of the triangle.
What we will be using to get this range is the triangle inequality theorem.
Mathematically, the sum of the length of the two sides must be greater than the length of the third side.
So let’s call the third side c
Thus, the range of values we are to work with is;
5 + 6 > c
11 > c
