<h3>
Answer: 36 square units</h3>
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Explanation:
Draw a horizontal line to cut the figure into a rectangle on top and a triangle down below.
The rectangle has length and width of 6 and 4 (horizontal and vertical components respectively). The area of this rectangle is 6*4 = 24 square units.
The triangle has a base of 6 and a height of 4. The base and height of any triangle are always perpendicular.
The area of the triangle is base*height/2 = 6*4/2 = 24/2 = 12 square units. If you were to cut out half of the triangle and rearrange things, you'll find that a rectangle can be formed. This rectangle is half in area that of the first rectangle we found. This is why we divide by 2 when finding the area of the triangle.
Once you know the two sub-areas, we add them up to get the overall area: 24+12 = 36 square units.
Answer:
The value of the test statistic 
Step-by-step explanation:
From the question we are told that
The high dropout rate is
% 
The sample size is 
The number of dropouts 
The probability of having a dropout in 1000 people 
Now setting up Test Hypothesis
Null 
Alternative
The Test statistics is mathematically represented as

substituting values


This intersection means that u have to find the same number in both sets
the answer is 3 , 7 , 13
i am a mathematics teacher. if anything to ask please pm me
Answer:
x = 13
Arc RQ = 180°
Step-by-step explanation:
PEQ is an inscribed angle and the measure of an inscribed angle in a circle is equal to half of the arc it sees.
The perimeter of a circle is always 360° therefore
2 × (5x + 15) + 9x + 17 + 6x - 12 = 25x + 35 = 360°
25x = 360 - 35
25x = 325
x = 13
Since arc RQ is equal to 10x + 30 we replace x with the value we just got
10×13 + 30 = 160°
Approximate solutions are
X subset 2 is approximately equal to -2.72
X subset 1 is approximately equal to -0.28