Based on only the info given and what you see in the picture, which pair(s) of angles and which pair(s) of sides are congruent? DONT SAY ED & AB

The most appropriate choice for fraction will be given by -

Rebeca still needed [tex]3\frac{3}{4}[/tex] yards of fabric to make a quilt.

What is a fraction?

Suppose there is a collection of objects and a part of collection has been taken. The part which is taken is called fraction. In other words, part of a whole is called fraction.

The upper part of fraction is called numerator and the lower part of fraction is called denominator.

Here,

Length of fabric needed to make a quilt = [tex]10\frac{1}{2}[/tex] yards = [tex]\frac{21}{2}[/tex] yards

Length of  one piece of fabric = [tex]2\frac{1}{2}[/tex] yards = [tex]\frac{5}{2}[/tex] yards

Length of another piece of fabric = [tex]4\frac{1}{4}[/tex] yards = [tex]\frac{17}{4}[/tex] yards

Total length of fabric Rebeca has = [tex]\frac{5}{2} + \frac{17}{4}\\[/tex]

                                                        = [tex]\frac{10 + 17}{4}\\[/tex]

                                                        = [tex]\frac{27}{4}[/tex] yards

Length of Fabric Rebeca still needed to make a quilt = [tex]\frac{21}{2} - \frac{27}{4}\\[/tex]

                                                                                        = [tex]\frac{42 - 27}{4}[/tex]

                                                                                        = [tex]\frac{15}{4}[/tex]

                                                                                         = [tex]3\frac{3}{4}[/tex] yards

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The point that divides the  directed line segment YX so that the ratio of YP to PX is 5 to 3 is P.

According to the question,

We have the following information:

Point P divides the directed line segment XY so that the ratio of XP to PY is 3 to 5.

Now, when the line segment XY is inverted to call the line segment YX then the point P is still there.

And the point P divided the line segment in the same way but the difference is that the measurement are taken from the other side. But the point P has not been removed because it is common in YP and PX and YX (as we observe even from the name of these smaller segments) is the line segment.

Hence, P is the point dividing the line segment YX into the given ratio.

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we have the inequality

5+10(x-9) < -103-(7-5x)

solve for x

apply distributive property left side and remove the parenthesis right side

5+10x-90 < -103-7+5x

Combine like terms

10x-85 < 5x-110

Group terms

10x-5x < -110+85

5x < -25

x< -25/5

x < -5

the solution is the interval (-inf, -5)

set builder notation

x| x < -5

Answer:

The distance between -2 1/2 and -5 3/4 Is

13/4.

Answer: 18

Step-by-step explanation:

Remove 2 from 36 and remove 1 from 24 until you get to 0.

Considering the definition of a line, the equation of the line that passes through the point (5, -3) and has a slope of 6/5 is y= 6/5x -9.

A linear equation o line can be expressed in the form y = mx + b

where

In this case, you know:

Substituting the value of the slope m, the line has the form: y=6/5x +b

Substituting the value of the point in the previous expression, the value of the ordinate to the origin b can be obtained:

-3= 6/5×5 + b

-3= 6 + b

-3 - 6= b

-9= b

Finally, the equation of the line is y= 6/5x -9.

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Answer:

h = 5m

Step-by-step explanation:

A = 1/2bh

15 = 1/2(6)h

15 = 3h

h = 5

   Here is a formula for figuring out loan interest payments. Divide the annual payment amount, typically 12 months, by the interest rate you are being charged. Divide that sum by your loan's initial balance, which should be set at the full amount you borrowed.

Depending on the APR and length of the loan, the monthly payment for a $30,000 loan can vary from 64.48. For instance, your monthly payment would be $3095.21 if you took out a $30,000 loan for one year with an APR of 1.54%.

Example

Amount of Loan: = $3,000

monthly payment  = 64.48

interest = 1.54

term equals 48 months

The total amount paid, including interest, was $305.21.

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Answer:

I think that you have to find the length and width of the rectangular

Answer:

9.49

Step-by-step explanation:

this is the answer hope it helps

Answer

Using factorization method

Therefore, x = -8 or x = 4

the answer Is 1:3

Step-by-step explanation:

reduce 4:12 to the lowest term and you will have 1:3

Answer:

Start by putting a dot on -2 on the y-axis. Then go up 1 square and go across to the right three squares. Continue to do that to graph the equation.

Step-by-step explanation:

Start by putting a dot on -2 on the y-axis. Then go up 1 square and go across to the right three squares.

Answer:

Step-by-step explanation:

Answer:

in a complete turn the wheel will travel the

expressed 2pi x radius or 2 x 3.14 x 28 or 175.84

circumference of the wheel. The circumference is cm x 3 (turns) = 527.52 cm or 572.52cm x 1in/2.54 cm x 1ft/12in or 18.78 ft or if you prefer meters 572.52 cm x 1m/100cm = 5.73 m

Answer:

x > -13/12

Step-by-step explanation:

x + 3/4 > - 1/3

x + 9/12 > -4/12

x > -13/12

-1/3 = -4/12

3/4 = 9/12

Answer:

x > - 13

12

Step-by-step explanation:

[tex]x + \frac{3}{4} > - \frac{1}{3} \\ x + \frac{3}{4} - \frac{3}{4} > - \frac{1}{3} - \frac{3}{4} \\ x > \frac{ - 4 - 9}{12} \\ x > - \frac{13}{12} [/tex]

Answer:

is 11

Step-by-step explanation:

Answer:

Discount:

$2.10

Final Price:

$18.90

Step-by-step explanation:

Answer:

Step-by-step explanation:

$30.4

Step-by-step explanation:

fist we figure out what 5% of 32 is which is 1.6 then we subtract it from the total cost 32 - 1.6 = 30.4

The approximate zeros of the function f(x) = x³ - 2x²-3x+1 (round to tenth place) are -1.2 and 0.3.

A function's zeros are the values of its variables that result in the function equaling 0. (f(x) = 0). The zeros of a function are the points on the x-axis where the graph intersects the x-axis. To put it another way, the zeros of a function are the x-intercepts of its graph.

Given:

We have f(x) = x³ - 2x²-3x+1

To determine the real zeros of the function f(x), we have f(x) = 0.

Using a graph to find the solutions for x(round to tenth place) are,

x₁ = -1.199 ≈ -1.2

x₂ = 0.286 ≈ 0.3

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The length of the indicated lines segments are as follows:

The line segment is given and we are ask to find the length HI and HJ in the line segment.

Therefore, let's find HI

13.

HI = x - 2

GI = 13

HJ = 2x + 2

GJ = 4x - 19

Hence,

GH = 4x - 19 - (2x + 2)

GH = 13 - (x - 2)

Therefore,

4x - 19 - 2x  - 2 = 13 - x + 2

2x  - 21 = 15 - x

2x + x = 15 + 21

3x = 36

x = 36 / 3

x = 12

Therefore,

HI = x - 2 = 12 - 2 = 10

12.

Let's find HJ

HJ = x + 30

IJ = 2x + 26

HK = x + 33

IK = 9

Therefore,

JK = x + 33 - (x + 30) = x + 33 - x - 30 = 3

JK = 9 - (2x + 26) = 9 - 2x  - 26 = -2x - 17

Therefore,

-2x - 17 = 3

-2x = 3 + 17

-2x = 20

x = 20 / - 2

x = - 10

Therefore,

HJ = -10 + 30 = 20 units

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Answer:

117

[tex]100[/tex]

by taking the interior angle sum as 360

The equivalent expression of 4.32÷0.16 is 0.27.

Given:

Expression = 4.32÷0.16

We have to determine the equivalent expression of 4.32÷0.16.

4.32÷0.16 (multiply both the terms by 100 to remove decimals)

432 ÷ 16

= 0.27

Therefore, the required equivalent expression is 0.27 respectively.

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Consecutive odd numbers are odd integers that are separated by 2 and come after one another. If the number x is odd, then the numbers x + 2, x + 4, and x + 6 are also odd.

The next two odd consecutive integers are (2n + 3) and (2n + 5) if 2n + 1 is an odd number. For illustration, assume that 2n + 1 is the odd number 7. Its successive numbers are identified as (7 + 2) and (7 + 4), or 9 and 11.

Three consecutive odd numbers that are 3, 5, and 7 are all prime. Three successive odd numbers that are not all prime are 109, 111, and 113 (111=37 times 3).

Answer

Let x - 2, x, and x + 2 be the three odd numbers.

x - 2 + x = 3(x + 2) + 7

2x - 2 = 3x + 6 + 7

2x - 2 = 3x + 13

3x - 2x = -2 - 13

x = -15

The three successive odd numbers are 17, 15, and 13, respectively.

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The correct option is b:  2 ∛(5 - 1) , is the value of the composite inverse function.

For the given question,

The functions as given as;

f(x) = x/3 + 1

g(x) = x³

Now, the find the composite function f o g (x).

Put the value of g(x) at the place of x in f(x).

f o g (x) = x³/8 + 1

Let the obtained composite function be y.

y =  f o g (x) = x³/8 + 1

Find the value of x in terms of y.

y = x³/8 + 1

y - 1 =  x³/8

8(y - 1) = x³

taking cube root.

x = 2 ∛(y - 1)

Now, substitute the value of x in place of y.

(f o g )⁻¹(x) = 2 ∛(x - 1)

Now, put the value of x as 5.

(f o g )⁻¹(x) = 2 ∛(x - 1)

(f o g )⁻¹(5) = 2 ∛(5 - 1)

Thus, the value of the composite inverse function is obtained as 2 ∛(5 - 1).

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Answer: yellow

Step-by-step explanation:

ITS THE RIGHT ANSWER IMAOAO

Answer:

Bugatti veyron is available in 10 different colours

Step-by-step explanation:

Light blue pear,black-M,mocca brown, black blue-M ,lemon and Light red.

Kim travelled 35 km on a paved surface and 6 km off-road which took 1.4 hours and 0.6 hours respectively

Speed of Kim when cycling on paved surfaces: 25 km/hr

Speed of Kim when cycling off-road = 10 km/hr

Distance covered by Kim = 41 km

Time is taken by Kim = 2 hours

Let x be the time Kim travels on a paved surface, and y represents the time off-road

Using the formula:

Speed = Distance/Time

Distance travelled by Kim on paved surface = 25*x

Distance travelled by Kim off-road = 10*y

x + y = 2-------(1)

25x + 10y = 41-------(2)

Multiplying equation (1) with 25 and equating with (2) we get:

25x + 25y = 50

25x + 10y = 41

15y = 9

y = 0.6 hours

x = 1.4 hours

Distance travelled on paved surface = 25*1.4 = 35 km

Distance travelled off-road = 10*0.6 = 6km

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Answer:

(2,1)

Step-by-step explanation:

Its the only pair that when plugged in would give you 13

3(2) + 7(1) =13

6 + 7 = 13

Answer:

13

Step-by-step explanation:

12-{1+2[-1(3-8]2}

12-{1+2[-1-5]2}

12-{1+2[-6]2}

12-{3-4}

12-(-1)

12+1

13

Answer: -39 is the answer

Step-by-step explanation:

Answer:

AUB = {0,1,2,3,4,6,8}

B∩C = Nil

Xc∩Yc = {February, April, August, September, November, December}

(YUZ)c= {February, March, April, May, August}

the symbol c stands for complement in the solution.

Step-by-step explanation:

union is combining all the elements of sets A and B

AUB = {0,1,2,3,4,6,8}

intersection is combining only the common elements present in both B and C

B∩C = Nil

complement of a set is the number of elements that are not present in the set.

Xc = {January, February, April, August, September, November, December}

Yc= {February, March, April, May, August, September, October, November, December}

Xc∩Yc = {February, April, August, September, November, December}

Y∪Z = {January, June, July, September, October, November, December}

(YUZ)c= {February, March, April, May, August}

the symbol c stands for complement in the solution.

Answer:

Step-by-step explanation:

Given various set definitions, you want to find the union and the intersection of specific pairs of sets.

We find it convenient to list the set contents in such a way that we can readily identify elements in one set or another, neither, or both. That is what we have done in the attachment.

The union of sets A and B will be the list of elements in either set. That is, if an element is included in set A or in set B, it is included in their union. An element is only listed once, even if it appears in both sets.

  A⋃B = {0, 1, 2, 3, 4, 6, 8}

The intersection of sets B and C will be the list of elements contained in both sets. Set B is even digits, and set C is odd digits. Since there are no digits that are both even and odd, their intersection is the empty set.

  B⋂C = { } . . . (the empty set)

The intersection of the complements of sets X and Y is the list of elements of U that are not in either set.

  X'⋂Y' = {Feb, Apr, Aug, Sep, Nov, Dec}

The complement of the union of Y and Z is the list of elements of U that are not in either of sets Y or Z. This is effectively the same as Y'⋂Z'.

  (Y⋃Z)' = {Feb, Mar, Apr, May, Aug}

__

Additional comment

We have elected to abbreviate the month names for problems 3 and 4. Your answer may need to spell them out completely to match the problem statement.