The lowest score you can earn on the next test and still achieve an average of at least an 88 is 107
<h3>Mean of data</h3>
Mean is the average of numbers.
Mean = sum of data/sample size
Let the lowest score be "x" such that;
Mean = 74+78+90+91+x/5
88 = 74+78+90+91+x/5
88(5) = 74+78+90+91+x
440 = 74+78+90+91+x
440 = 333 + x
x = 440 - 333
x = 107
Hence the lowest score you can earn on the next test and still achieve an average of at least an 88 is 107
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The answers would be 320ft. Squared
The greatest possible integer value of x for which 
is an imaginary number is 4
<h3>How to determine the greatest possible integer?</h3>
The root expression is given as:
For the above number to be a complex number, the greatest value of the radicand must be -1.
So, we have:
x - 5 = -1
Add 5 to both sides
x = 4
Hence, the greatest possible integer value of x for which is an imaginary number is 4
Read more about imaginary numbers at:
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Answer:
II, III, and IV
Step-by-step explanation:
Define:
Similar polygons:
- Corresponding angles are equal
- Corresponding sides are in a constant proportion
Congruent polygons:
- Corresponding angles are equal
- Corresponding sides are equal
Let's break each statement down one-by-one:
<u>I. Corresponding sides of similar figures are the same.</u>
False - Corresponding sides of similar figures are in a constant proportion, but not necessarily the same. <em>Congruent</em> figures have equal corresponding sides, but similar figures only have their corresponding sides in a constant proportion.
<u>II. Corresponding sides of congruent figures are the same.</u>
True - By definition, corresponding figures have equal sides and angles. Therefore, this statement is true.
<u>III. Corresponding angles of congruent figures are the same.</u>
True - By definition, corresponding figures have equal sides and angles. Therefore, this statement is true.
<u>
</u>
<u>IV. Corresponding angles of similar figures are the same.</u>
True - While corresponding sides of similar figures may not be the same, their angles are. This is what gives them the similar characteristic. All similar polygons have equal angles, therefore this statement is true.
The co-ordinates of point R is (6 , 2)
<h3><u>Solution:</u></h3>
Given that M(7, 3) is the midpoint of RS
Also co-ordinates of point S is (8, 4)
<em><u>To find: co-ordinates of point R</u></em>
The midpoint of two points 
and 
is given as:
Here midpoint M = (7, 3) and point S 
Point R = 
Substituting the values in formula we get,
Comparing both the sides we get,
and 
On solving,
Also,
Thus the co-ordinates of point R is (6 , 2)
