Question 17 (5 points)
Determine the value of x in the isosceles trapezoid.
2x
х
x = 60°
x= 65°
x= 180°
*= 90°

Answer:

Step-by-step explanation:

Is there an image to see?

Answer:

The line graph (A) represents the expression 5/2 + 3 the first term is 2 and-a-half units, and the second term is 3 units option (A) is correct.

It is defined as the representation of the numbers on a straight line that goes infinitely on both sides.

We have an expression:

= 5/2 + 3

Here 5/2 = 2.5 = 2 and half

= 2.5 + 3

The first arrow should indicate the 2 and-a-half unit

And the second arrow should represent the 3 unit

The line graph(A) represents the above situation or expression.

Thus, the line graph (A) represents the expression 5/2 + 3 the first term is 2 and-a-half units, and the second term is 3 units option (A) is correct.

Learn more about the number line here:

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Answer:

C.7, -2

Step-by-step explanation:

A quadratic equation is a polynomial of degree two. A quadratic equation is in the form:

ax² + bx + c = 0; where a, b, c are constants.

Quadratic equation can be solved using different methods, such as completing the square method, quadratic formula.

Solving the equation 2x² - 10x - 20 = 8 using completing the square:

2x² - 10x - 20 = 8

2x² - 10x = 28

Divide through by 2, to make the coefficient of x² to be 1:

x² - 5x = 14

Add to both sides, the square of half of the coefficient of x [i.e. (-5/2)² = 6.25]

x² - 5x + 6.25 = 14 + 6.25

(x - 2.5)² = 20.25

taking square root of both sides:

x - 2.5 = √20.25

x - 2.5 = ±4.5

x = 2.5 ± 4.5

x = 2.5 + 4.5; or x = 2.5 - 4.5

x = 7 or x = -2

Answer:

60162.3214286

Step-by-step explanation:

that's just what my calculator said

Answer:

18 seconds

Step-by-step explanation:

5x9=45 so 2x9=18

Answer:

The first option

Step-by-step explanation:

[tex]4x + 5y - 34 = 0[/tex]

Answer:

- [tex]\frac{17}{15}[/tex]      -1 [tex]\frac{2}{15}[/tex] , 1.13

Step-by-step explanation:

Answer:

38

Step-by-step explanation:

To find the value of f(6), we substitute the value 6 where x is into the function. You would get:

7(6) - 4

42 - 4

f(6) = 38

Answer:

See my writting here have answer

Answer:

area of parallelogram=base *height

Answer:

area =36cm²

Step-by-step explanation:

area of parallelogram= b×h

Answer:

R = (-3, 8).

Step-by-step explanation:

Recall the midpoint formula:

[tex]\displaystyle M=\left(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}\right)[/tex]

Where M is the midpoint, (x₁, y₁) is one point and (x₂, y₂) is another.

We are given that Q is the midpoint of PR, where P = (11, -2) and Q = (4, 3) and we want to find the coordinates of R.

Substitute Q for M and let P(11, -2) be (x₁, y₁). Hence:

[tex]\displaystyle (4, 3)=\left(\frac{11+x_2}{2}, \frac{-2+y_2}{2}\right)[/tex]

Split into two separate equations:

[tex]\displaystyle \frac{11+x_2}{2}=4\text{ and } \frac{-2+y_2}{2}=3[/tex]

Solve for each case:

[tex]\displaystyle 11+x_2=8\Rightarrow x_2=-3[/tex]

[tex]\displaystyle -2+y_2=6\Rightarrow y_2=8[/tex]

Therefore, our second point (x₂, y₂) is (-3, 8).

Hence, R = (-3, 8).

Answer:

(15/2),(1/2)

Step-by-step explanation:

(x1 + x2 / 2)  ,   (y1 + y2) / 2)

(11 + 4 / 2) , (-2 + 3 / 2)

(15/2) , (1/2)

Answer:

7 students

Step-by-step explanation:

1+2+4=7students

Answer:

4x - 2

Step-by-step explanation:

Given

- 2x + 3 - (5 - 6x) ← distribute parenthesis by - 1

= - 2x + 3 - 5 + 6x ← collect like terms

= 4x - 2

The expression -2x + 3 – (5 – 6x) simplifies to 4x - 2.

The correct way of simplifying expressions is first solving what are inside the brackets.Then solving divisions then multiplications then additions and last subtractions.This way of solving order has a short name which is BODMAS order.

According to the given question we have to simplify the expression

-2x + 3 – (5 – 6x).

First we'll solve what are inside the brackets.

-2x + 3 - 5 + 6x.  (negative sign distributed to get a positive).

= 4x - 2.

= 2(2x - 1).

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Answer:

[tex]{ \tt{sum = \frac{a(r {}^{n - 1} )}{n - 1} }} \\ 27 = \frac{a(r {}^{2 - 1} )}{2 - 1} \\ { \bf{27 = ar - - - (i)}} \\ \\ 54 = \frac{a( {r}^{3 - 1} )}{3 - 1} \\ { \bf{108 = a {r}^{2} - - - (ii) }} \\ { \tt{(ii) \div (i) : }} \\ r = \frac{108}{27} \\ { \bf{common \: ratio = 4}} \\ { \bf{first \: term = \frac{27}{4} }}[/tex]

Answer:

$4n

Step-by-step explanation:

The variable identified in question 1 isn't given ;

If the cost per unit of fruit = $4

The total cost of fruit will be :

Cost per fruit * number of fruits

If the number of fruits is denoted by the variable, n

The the total cost of fruit will be :

Cost per fruit, $4 * number of fruits, n

Total cost = $4 * n = $4n

Answer:

b

Step-by-step explanation:

Answer:

a. [tex]\frac{4\pi }{3}[/tex]

b. 240

Step-by-step explanation:

all you have to do to find a coterminal angle is to add or subtract 360 or [tex]2\pi[/tex] from the angle, so:

a. [tex]\frac{10\pi }{3} -2\pi =\frac{4\pi }{3}[/tex]

b. -120 + 360 = 240

Answer:

Rs4000

Step-by-step explanation:

Given data

Step one

Selling price =RS 4444

Gain =rs444

Cost price =???

We want to find the cost price

Cost price =selling price - gain

Cost =4444-444

Cost=Rs4000

When you are multiplying by a fraction, you have to flip the sign around and the fraction around. Fiona thought she was dividing in half but in reality, she should be multiplying by 2. 1/2 flipped around is 2/1 which equals 2. And since you switch the division sign to a multiplication sign, the new equation will be 48x2. Which equals 96

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

[tex]a \div (b + c) = (a \div b) + (a \div c) \\ 6 \div (5 + 7) = (6 \div 5) + (6 \div 7) \\ 0.5 = 1.2 + 0.86 \\ 0.5 = 2.06[/tex]

Answer: The quotient of 28 and 4 minus the sum of a number and 7

Step-by-step explanation:

Answer:

2400

Step-by-step explanation:

2244 is the final price. it includes the VAT based on the actual sale price. and that is then actually 15% lower than the originally marked price.

so, let's calculate backwards :

2244 = 100% sale price + 10% VAT = 110%

1% = 2244 / 110 = 20.40

100% (actual sale price) = 20.40×100 = 2040

now, because of the 15% discount, these 2040 are only 85% of the originally marked price.

2040 = 85%

1% = 2040 / 85 = 24.00

100% (the original marked price) = 24×100 = 2400

Answer:

[tex]f^{-1}[/tex] (x) = [tex]\frac{5x}{x-2}[/tex]

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\frac{2x}{x-5}[/tex] ( multiply both sides by x - 5 )

y(x - 5) = 2x ← distribute left side

xy - 5y = 2x ( subtract 2x from both sides )

xy - 2x - 5y = 0 ( add 5y to both sides )

xy - 2x = 5y ← factor out x from each term on the left side )

x(y - 2) - 5y ← divide both sides by y - 2

x = [tex]\frac{5y}{y-2}[/tex]

Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = [tex]\frac{5x}{x-2}[/tex]

Look into the image. I hope it helps❤

Answer

6x<-12

Step-by-step explanation:

Answer:

There would be 2 answers in this case:

C. 6x > 32

and

D. 21 + x < 28

Step-by-step explanation:

A. Incorrect

6-13 = -7, and -7 is NOT greater than 7

B. Incorrect

6(6) = 36, and 36 is NOT less than -12.

C. Correct

6*6 = 36, which is greater than 32.

D. Correct

21+6 = 27, which is less than 28.

Answer:

3 dimes 1 nickel

Step-by-step explanation:

1 dime = 10 cents

3×1 dime = 30 cents

1 nickel = 5 cents

3 dimes + 1 nickel

= 30 cents + 5 cents

= 35 cents

Hello,

there are 20 combinations making a total of 35 cents

In qb64

Dim p As Integer, n As Integer, d As Integer, s As Integer, nb As Integer

nb = 0

For p = 0 To 35

   For n = 0 To 7

       s = 1 * p + 5 * n

       If s < 36 Then

           For d = 0 To 3

               s = p + 5 * n + d * 10

               If s = 35 Then

                   nb = nb + 1

                   Print nb, p; n; d

               End If

           Next d

       End If

   Next n

Next p

End

Answer:

[tex]\angle A=90-72[/tex]

[tex]\angle A=18[/tex]

---------------

[tex]sin~72=\frac{b}{11}[/tex]

[tex]11\times sin~72=6[/tex]

[tex]b=10.5[/tex]

----------------

[tex]11\times cos~72=a[/tex]

[tex]a=3.4[/tex]

----------------

ANSWER:

a=3.4

b=10.5

∠A=18

-----------------------

hope it helps...

have a great day!!