Answer: The measure of angle A is 60 degree.
Explanation:
It is given that the Triangles A B E and D C E share vertex E. Angle B is 18 degrees. Angle C is 43 degrees. Angle D is 35 degrees.
According to angle sum property, the sum of angles of a triangle is always 180 degree.
In triangle CDE,
According to opposite vertical angle property.
Use angle sum property is triangle ABE.
Therefore, the measure of angle A is 60 degree.
The random variable X is normally distributed with mean μ=30 and standard deviation σ =10.
Use the transformation for calculating the probability. This value is called Z-score.
The Z score is .
Refer to the standard normal distribution table.
The probability
Based on the calculations, we can describe the area of the striped rectangle as 4/10 × 2/3.
<h3>What is a rectangle?</h3>A rectangle can be defined as a type of quadrilateral in which its opposite sides are equal and all the angles formed are right angle.
<h3>How to calculate the area of a rectangle?</h3>Mathematically, the area of a rectangle can be calculated by using this formula;
A = LW
<u>Where:</u>
<u>Given the following data:</u>
Width = 3 rectangles (top to bottom).
Length = 10 rectangles (left to right).
Substituting the given parameters into the formula, we have;
Area = 10 × 3
Area = 30 rectangles.
From the diagram (see attachment), we can logically deduce that the striped rectangle comprises 8 rectangles, and the required area is given by:
Area of striped rectangle = 8/20 of the other portions
Area of striped rectangle = 8/20 × 20/30
Area of striped rectangle = 4/10 × 2/3.
Read more on area of a rectangle here: brainly.com/question/25292087
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