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Dmitry_Shevchenko [17]
3 years ago
8

Determine the value of x in the figure. answers: A) x = 60 B) x = 50 C) x = 130 D) x = 65

Mathematics
2 answers:
brilliants [131]3 years ago
5 0

Answer:

x = 65

Step-by-step explanation:

This is an isosceles triangle which means that 2 angles are the same and all the angles have to equal 180.

A - 60+60+50 = 170(not 180)

     50+50+60 = 160(not 180)

A is eliminated.

B is eliminated because then it will be an equilateral triangle.

C - 130+130+50 = 310(not 180)

     50+50+130 = 230(not 180)

C is eliminated which leaves D.

D = 65+65+50 = 180(TRIANGLE!!!!!!!!!!)

Arada [10]3 years ago
3 0

Answer:

D

Step-by-step explanation:

Since the triangle has 2 congruent sides then the triangle is isosceles and the base angles are congruent, thus

x = \frac{180-50}{2} = \frac{130}{2} = 65 → D

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TiliK225 [7]
The <u>correct answers</u> are:

16) Mean = 10.25; Median = 10; Range = 17
17) The range.
18) 10
19) 5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.

Explanation:

16) To find the <u>mean</u>, we first find the sum of the data values in the set:
5+5+6+6+7+8+8+8+9+9+10+10+10+10+10+11+12+12+12+13+13+15+15+22 = 246.

Next we divide this sum by the number of data points, 24:
246/24 = 10.25.

The <u>median</u> is the middle point of a data set.  Since there are 24 points, this will be between two values.  These two values are 10 and 10; the median is 10.

The <u>range </u>is found by subtracting the highest and lowest values:
22-5 = 17.

17) The <u>mean </u>is changed; the sum of the data values is 246.  Taking 22 out of this, the sum is now 223, and we have 23 data points instead of 24; 223/23 = 9.7 for the new mean.
The <u>median </u>does not change; it is still 10.
The <u>range</u> changes; the highest value is now 15, and the lowest is 5:  15-5=10.  The range is changed the most.

18) The <u>mean is affected</u> by the outlier and the <u>median is not</u>, so we use the <u>median</u>.  This means the answer is 10.

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3 years ago
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3 years ago
Which polynomial represents the sum below?
FromTheMoon [43]

Answer:          D. 8x² + x + 3

Sum means the answer to an addition problem. To find the sum of polynomials, we will add like terms.

<h2>What are like terms?</h2>

Like terms can be combined using addition or subtraction and have the same variables. Constants are also like terms with each other because they have no variables.

<h2>Solve</h2>

(4x² + 1) + (4x² + x + 2)      Starting equation from the question

= 4x² + 1 + 4x² + x + 2       Remove brackets

= 4x² + 4x² + x + 1 + 2       Rearrange to group like terms together

= 8x² + x + 1 + 2                Add like terms with the same 'x²' variables

= 8x² + x + 3                     Add like terms that are constants

Learn more about adding polynomials here:

brainly.com/question/1311115

6 0
2 years ago
The point P(2k, k) is equidistant from A(-2, 4) and B (7,-5).<br>Find the value of k.<br>​
mario62 [17]

Answer:

k = 3

Step-by-step explanation:

Using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = A (- 2, 4 ) and (x₂, y₂ ) = P (2k, k)

AP = \sqrt{(2k+2)^2+(k-4)^2}

Repeat

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BP = \sqrt{(2k-7)^2+(k+5)^2}

Given that AP = BP, then

\sqrt{(2k+2)^2+(k-4)^2} = \sqrt{(2k-7)^2+(k+5)^2}

Square both sides

(2k + 2)² + (k - 4)² = (2k - 7)² + (k + 5)² ← expand factors on both sides

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Simplify both sides by collecting like terms

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20 = - 18k + 74 ( subtract 74 from both sides )

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k = 3

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