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creativ13 [48]
3 years ago
11

Find the value of x.

Mathematics
1 answer:
dalvyx [7]3 years ago
7 0

Answer:

x =66

Step-by-step explanation:

The sum of the opposite interior angles is equal to the exterior angle

32+x = 98

Subtract 32 from each side

32+x-32 = 98-32

x =66

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Find the slope of the function f ( x ) = 5x/2 + 3, by the definition of limit. Express answer as a fraction using the "/" key as
musickatia [10]

\huge{\boxed{\frac{5}{2}}}

Slope-intercept form is f(x)=mx+b, where m is the slope and b is the y-intercept.

\frac{5x}{2}=\frac{5}{2}x, so change the equation to represent this. f(x)=\frac{5}{2}x+3

Great! Now the function is in slope-intercept form, so we can just see that m, or the slope, is equal to \boxed{\frac{5}{2}}

3 0
3 years ago
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
Do fractions n always need to be renamed to the largest unit?
BabaBlast [244]
No, but if it's an improper fraction it should be done
5 0
3 years ago
ΔABC is a right triangle. Prove: a2 + b2 = c2 Right triangle BCA with sides of length a, b, and c. Perpendicular CD forms right
777dan777 [17]

Answer: Pythagorean Theorem Pieces of Right Triangles is not a justification for the proof.

Explanation : Here, \triangle ABC is a right triangle with sides a, b and c. Perpendicular CD forms right triangles BDC and CDA.

CD measures h units, BD measures y units, DA measures x units.

Draw an altitude from point C to Line segment AB Let segment BC = a segment CA = b, segment AB = c,  segment CD = h,  segment DB = y, segment AD = x,

y + x = c

a/c=y/a( Similarity theorem in triangles ABC and DBC )

a^2 = cy------(1) (Cross Product Property)

Similarly, b^2 = cx (Similarity theorem in triangles ABC and ADC)---------(2)

a^2 + b^2 = cy + cx(after adding equation (1) and (2) )

a^2 + b^2 = c(y + x)( By additional property of equality)

a^2 + b^2 = c^2. ( because y + x=c)

Thus, it has been proved that except Pythagorean Theorem Pieces of Right Triangles we use all other properties.

8 0
3 years ago
Read 2 more answers
Please help asap! Due tonight!
Contact [7]

Answer:

A, \sqrt{17}

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + b^2 = 9^2

64 + b^2 = 81

b^2 = 17

b = \sqrt{17}

4 0
3 years ago
Read 2 more answers
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