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Andreyy89
3 years ago
5

The figure has ____ lines of symmetry. A. 0 B. 4 C. 6 D. 8

Mathematics
1 answer:
Olenka [21]3 years ago
7 0
A.) <span>Scalene Triangle has no Lines of S</span>ymmetry 
B.) <span>A </span>Square<span> (4 sides) </span><span>has </span>4 Lines of Symmetry
C.) <span>A </span>Regular Hexagon<span> (6 sides) </span>has 6 Lines of Symmetry
D.) <span>A </span>Regular Octagon<span> (8 sides) </span><span>has </span>8 Lines of Symmetry
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What is the sum of the expressions (2/3x −7)+(1/3 x+5)?
Anit [1.1K]
The answer is

Final result :

x - 2
Step by step solution :

Step 1 :

1
Simplify —
3
Equation at the end of step 1 :

2 1
((—•x)-7)+((—•x)+5)
3 3
Step 2 :

Rewriting the whole as an Equivalent Fraction :

2.1 Adding a whole to a fraction

Rewrite the whole as a fraction using 3 as the denominator :

5 5 • 3
5 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x + 5 • 3 x + 15
————————— = ——————
3 3
Equation at the end of step 2 :

2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 3 :

2
Simplify —
3
Equation at the end of step 3 :

2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 4 :

Rewriting the whole as an Equivalent Fraction :

4.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 3 as the denominator :

7 7 • 3
7 = — = —————
1 3
Adding fractions that have a common denominator :

4.2 Adding up the two equivalent fractions

2x - (7 • 3) 2x - 21
———————————— = ———————
3 3
Equation at the end of step 4 :

(2x - 21) (x + 15)
————————— + ————————
3 3
Step 5 :

Adding fractions which have a common denominator :

5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

(2x-21) + (x+15) 3x - 6
———————————————— = ——————
3 3
Step 6 :

Pulling out like terms :

6.1 Pull out like factors :

3x - 6 = 3 • (x - 2)

Final result :

x - 2

100% Verified!

Hope This Helps! :)
6 0
3 years ago
If the test is worth 50 and you score 84% how many questions did you get wrong? Write the proportion?
quester [9]
You got 8 questions wrong.

10% of 50 is 5.
 x8               x8
________________
80% of 50 is 40.
84% of 50 is 42.


50-42= 8 questions wrong.




8 0
3 years ago
Read 2 more answers
Solve the system of linear equations. <br> −8x+5y=26<br> 9x−3y=−3
Sloan [31]

Answer: x = 3 and y = 10

Step-by-step explanation:

-8x + 5y = 26     .................. equation 1

9x - 3y = -3          ................ equation 2

Solving the system of linear equations by elimination method.

The means we have to make the coefficient of one of the variable the same in order to eliminate the variable first.

Let us eliminate the variable y first , this means we will multiply equation 1 by 3 and multiply equation 2 by 5. Doing this , we have

-24x + 15y = 78      ............. equation 3

45x - 15y = -15     ................ equation 4

Now that we have the same coefficient , we have to check their signs , if the have the same signs , we will subtract , that is , if both are having positive signs , we will subtract , if both have negative signs , we will also subtract but if their signs differ we will add. Following this rule and considering the equations above , the coefficients of y have different signs , so we will add equation 3 and equation 4 , so we have:

21x = 63

x = 63/21

x = 3

Substitute x = 3 into equation 1 or equation 2 to get the value of y , using equation 2 , we have

9x - 3y = -3

9(3) - 3y = -3

27 - 3y = -3

27+3 = 3y

30 = 3y

30/3 = y

Therefore y = 10

Therefore : x = 3 and y = 10

8 0
4 years ago
Find the equation of the line that is perpendicular to the x-axis and passes through the point (14,-9). Give the
Rudiy27

Answer:

y = -9

Step-by-step explanation:

a line perpendicular to the x-axis is a horizontal line (which means the slope is zero) which pass through the y-axis at -9

3 0
3 years ago
Solve x^4 - 3x^2 +2 = 0 using substitution.
Leona [35]

Answer:

x = ± 1 , x = ± \sqrt{2}

Step-by-step explanation:

Let u = x² , then

x^{4} - 3x² + 2 = 0 , can be expressed as

u² - 3u + 2 = 0 ← in standard form

(u - 1)(u - 2) = 0 ← in factored form

Equate each factor to zero and solve for u

u - 1 = 0 ⇒ u = 1

u - 2 = 0 ⇒ u = 2

Change the variable u back to x

x² = 1 ( take square root of both sides )

x = ± 1

or

x² = 2 ( take square root of both sides )

x = ± \sqrt{2}

4 0
2 years ago
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