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dexar [7]
3 years ago
12

​Which values are solutions to the inequality? ​ ​5r≤6r−8​ ​ Select each correct answer. r = 7 r = 8 r = 9 r = 10

Mathematics
2 answers:
Ratling [72]3 years ago
8 0

Answer:

r = 8,9,10

Step-by-step explanation:

The given inequality is :

​5r≤6r−8​  ...(1)

We need to find the value of r.

Subtracting 5r to both sides of the inequality .

​5r-5r≤6r-5r−8

0≤r−8

r ≥ 8

Hence, the values of r are 8,9,10.

Shalnov [3]3 years ago
8 0

Answer:

The answer is r 8,9,10

Step-by-step explanation:

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Stella [2.4K]

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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2 years ago
Find the area of the triangle.<br> 16 ft<br> 20 ft<br><br><br> Please help
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The answers would be 320ft. Squared
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What is the greatest possible integer value of x for which startroot x minus 5 endroot is an imaginary number? 3 4 5 6
Sauron [17]

The greatest possible integer value of x for which \sqrt{x - 5} is an imaginary number is 4

<h3>How to determine the greatest possible integer?</h3>

The root expression is given as:

\sqrt{x - 5}

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 \sqrt{x - 5} is an imaginary number is 4

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2 years ago
Which of the following statements are true?
olchik [2.2K]

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>

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7 0
3 years ago
4. M(7, 3) is the midpoint of RS. The coordinates of point S are (8,4). What are the
seraphim [82]

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 P(x_1, y_1) and Q(x_2, y_2) is given as:

M=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)

Here midpoint M = (7, 3) and point S (x_1 , y_1) = (8, 4)

Point R = (x_2, y_2)

Substituting the values in formula we get,

(7,3)=\left(\frac{8+x_{2}}{2}, \frac{4+y_{2}}{2}\right)

Comparing both the sides we get,

\frac{8+x_{2}}{2}=7 and \frac{4+y_{2}}{2}=3

On solving,

\begin{array}{l}{14=8+x_{2}} \\\\ {x_{2}=6}\end{array}

Also,

\begin{array}{l}{4+y_{2}=6} \\\\ {y_{2}=2}\end{array}

Thus the co-ordinates of point R is (6 , 2)

7 0
3 years ago
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