This is a 52% increase.
The answer and the work is attached in the image provided.
30° and 60°.
<h3>
Further explanation</h3>
We will solve the problem of the measures of angles in the triangle.
Recall this condition:
- The acute angle ⇒ an angle of less than 90°.
- The right angle ⇒ an angle of exactly 90°.
- A right triangle ⇒ a triangle in which one angle is a right angle.
- The interior angles ⇒ the angles inside a triangle.
- All the interior angles in a triangle , i.e.,

<u>Given that:</u>
The ratio of the measure of the acute angle in a right triangle is ¹/₂.
<u>Question:</u>
Find the measures of the two angles.
<u>The Process:</u>
We call it the triangle ABC. An interior angle inside is a right angle, e.g., ∠A = 90°.
From the ratio of two other acute angles, i.e., 1: 2, we call it ∠B = x and ∠C = 2x.
Let's arrange the three angles in ABC triangle as follows:

Both sides subtracted by 90°.


Both sides divided by 3.
We get 
We substitute the value of x back into B and C.

We have succeeded in getting the measures of the two angles.
<h3>Learn more</h3>
- Undefined terms needed to define angles brainly.com/question/3717797
- What is 270° converted to radians brainly.com/question/3161884
- A triangle is rotated 90° about the origin brainly.com/question/2992432
Keywords: the ratio, the measure, the acute angle, a right triangle, 1/2, 180°, 90°, 30°, 60°, the interior angles
Answer:
Thats FALSE.
The concept CORRELATION not automatically means CAUSATION.
Step-by-step explanation:
Previous concepts
The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.
And in order to calculate the correlation coefficient we can use this formula:
Solution to the problem
Some useful concepts are:
Correlation is a statistical measure described with a number that describes the size and direction of a relationship between two or more variables. The correlation between variables, NOT mean that the change in one variable is the cause of the change in the values of the other variable.
Causation is a term refered to one event as the result of the occurrence of the other event for example, there is a causal relationship between event A and B like a cause and effect. One important thing to mention here is that the causation is not an easy concept to measure.
"The difference between the two types of relationships are easy to identify since one can be measured with a numerical value and the other no (Here is one example: smoking causes an increase in the risk of developing lung cancer), or it can correlate with another ( smoking is correlated with alcoholism, but it does not cause alcoholism)".
So is clear that the concept CORRELATION not automatically means CAUSATION.
First the person with a flashlight and one of his friends cross the bridge. After that same person with a flashlight comes back and leads another friend to the other side. Finally he comes back again and leads the last of them.
Number of times that he will have to cross the bridge is 5 ( five ).
Answer: y = (-3x/2) + 1
Step-by-step explanation:
From the standard equation y = mx + c, the slope of the equation is 2/3. Therefor slope of a line perpendicular to it will be -3/2.
Hence the equation will be
y = (-3x/2) + c
As this line passes through (-2,4), putting these values in this equation gives c = 1.
Hence the answer is y = (-3x/2) + 1