Work out the angle marked x in each diagram you must show your working

Answer:

Step-by-step explanation:

The vertex is (d, e)

for quadratic function: f(x) = ax² + bx + c  we have:

d = -b/a    and    d = (x₁ + x₂)/2  

a = 1,   b = k,   x₁ = -4,    x₂=-2      

so:

d = -b/a = -k/1 = -k   and   d = (x₁ + x₂)/2 = (-4-2)/2 = -3

-k = -3

k = 3

Answer:

The weight is 9 lbs

Step-by-step explanation:

flat fee + price per found * pounds = total charge

6.99 + .55 * p = 11.94

Subtract 6.99 from each side

6.99 + .55 * p  - 6.99= 11.94-6.99

.55p =4.95

Divide each side by .55

.55p/.55 = 4.95/.55

p =9

The weight is 9 lbs

Answer:

He will owe $24 interest at the end of the year.

Step-by-step explanation:

Formula for finding Simple Interest:

S.I = PRINCIPAL × RATE × TIME/100

S.I = 200 × 12 × 1/100

S.I = $24

$24 is the Simple Interest.

☆ We know that angles of triangle opposite of its equal sides are also equal

Here the information that we know about the given triangle is

So the angles opposite to the equal sides will be equal .

→ So one of those equal angle is x so other will also be x .

☆ Interior angle sum property states that sum of interior angles of triangle will be 180°

→ 80° + x + x = 180°

→ 2x = 180°-80°

→ 2x = 100°

→ x = 100/2

→ x = 50° .

The value of x in the triangle is 50°.

We have,

The given triangle is an isosceles triangle.

This means,

There are two equal sides and the angles opposite to the equal sides are also equal.

Now,

The sum of the three angles in a triangle is 180.

So,

80 + x + x = 180

80 + 2x = 180

2x = 180 - 80

2x = 100

x = 100/2

x = 50°

Now,

We can cross cheked.

80 + 50 + 50

80 + 100

180

True.

Thus,

The value of x in the triangle is 50°.

Learn more about triangles here:

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Answer:

5th root (27)

Step-by-step explanation:

27 ^ 1/5

=> 5th root of 27^1

=> 5th root (27)

Answer:

5th root (27)

Answer:

21 : 22

Step-by-step explanation:

Boys : Girls = 7 : 8

Let the number of boy = 7x

the number of girls = 8x

Number of boys after 20% increase = 120% of 7x

                                                           = 1.2 * 7x

                                                            = 8.4 x

Number of girls after 10% increase = 110% of 8x

                                                           = 1.1 * 8x

                                                            = 8.8x                    

After increase in number of boys & girls ,

= 8.4x : 8.8x

= 84 : 88    { reduce to simplest form by giving by 4th table}

= 21 :  22

Answer:

Hey there!

I'm sorry, but your friend is right.

It is the difference between -40 and 12, which is 52.

Let me know if this helps :)

Answer:

C. -24

Step-by-step explanation:

Hello!

To solve this we have to follow the order of PEMDAS

Parenthesis, exponents, multiplication and division, addition and subtraction

[tex]21 + 6^{2} - (35 - 8) * 3[/tex]

Parenthesis first

[tex]21 + 6^{2} - (27) * 3[/tex]

Exponents next

21 + 36 - 27 * 3

Multiplication and division from left to right

21 + 36 - 81

Addition and subtraction from left to right

57 - 81 = -24

The answer is C.-24

Hope this helps!

Answer:

Step-by-step explanation:

[tex]21+6^2-\left(35-8\right)\times \:3\\\\\mathrm{Follow\:the\:PEMDAS\:order\:of\:operations}\\\\\mathrm{Calculate\:within\:parentheses}\:\left(35-8\right)\::\quad 27\\\\=21+6^2-27\times \:3\\\\\mathrm{Calculate\:exponents}\:6^2\::\quad 36\\\\=21+36-27\times \:3\\\\\mathrm{Multiply\:and\:divide\:\left(left\:to\:right\right)}\:27\times \:3\::\quad 81\\\\=21+36-81\\\\\mathrm{Add\:and\:subtract\:\left(left\:to\:right\right)}\:21+36-81\::\quad -24\\\\=-24[/tex]

Answer:

To understand this, bags of gas added make it go up, while bags of sand added make it go down:

1). Add bags of gas | balloon goes UP | 3 bags of gas ( +3 ), 10 bags of sand ( +10 )

2). Add bags of sand | balloon goes DOWN | 3 bags of sand ( -3 ), 10 bags of sand ( -10 )

3). Subtract bags of gas | balloon goes DOWN | subtract 3 bags of gas - ( +3 ), subtract 10 bags of gas - ( +10 )

4). Subtract bags of sand | balloon goes UP | subtract 3 bags of sand - ( -3 ), subtract 10 bags of sand - ( 10 )

Answer:

D) If C lies on AB and is between A and B, then AC + CB = AB.

Step-by-step explanation:

Statements A, B and C are postulates while statement D is a theorem.

A postulate is a statement that is true but cannot be proven, but a theorem is a statement that can be proven.

The statement D is the betweenness theorem for points. It states that If C lies on AB and is between A and B, then AC + CB = AB.

This statement can be proven, so it is a theorem.

Answer:

3.4561 and 3.4562

Step-by-step explanation:

there are uncountable infinitely many numbers...

Answer:

Answer is 3.456 , 3.456.

Step-by-step explanation:

3.456=3.4560

3.457=3.4570

then numbers between 3.45610 and 3.4570

is - 3.4561 , 3.4562 , ..........., 3.4570

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Answer:

B

Step-by-step explanation:

25.4

The average time Janette to fold and put away all four items is 25.35 seconds. Then the correct option is C.

The mean of average is the ratio of the sum of observations and the number of observations.

Janette was timed by a store manager as she folded and stored a scarf, a shirt, a pair of trousers, and a jumper. Her time for the shirt was 26.1 seconds, the jumper 24.3 seconds, the trousers 32.8 seconds, and the scarf 18.2 seconds.

The average time Janette to fold and put away all four items will be given as,

Average = (26.1 + 24.3 + 32.8 + 18.2) / 4

Average = 101.4 / 4

Average = 25.35

The average time Janette to fold and put away all four items is 25.35 seconds. Then the correct option is C.

More about the mean link is given below.

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Answer:

The correct option is;

C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2

Step-by-step explanation:

The area of the square frame is the area of the inner square subtracted from the area of the outer square

Which gives;

52.2² - 47.8² = 440

Therefore;

Option A. 52.2² - 47.8² is a correct way of finding the area of the square frame

Option B. 2 × ((52.2×2.2) + (47.8×2.2)) = 440, is  a correct way of finding the area of the square frame

Option C. 52.2 × 4.4 × 2 + 47.8 × 4.4 × 2 = 880, is not a correct way of finding the area of the square frame

The error is the thickness is 2.2 not 4.4

Option D. 100×(52.2 - 47.8) = (52.2 + 47.8) × (52.2 - 47.8) = 52.2² - 47.8² = 440,  is  a correct way of finding the area of the square frame

Answer:

lesser x =3

greater x =4

Step-by-step explanation:

f(x) = (x - 3)(2x - 8)

Set the function equal to zero to find the zeros

0  = (x - 3)(2x - 8)

Using the zero product property

0 = (x - 3)   0=2x - 8

Solve each  equation

3 = x          8 =2x

3=x            8/2 =x

                      4=x

lesser x =3

greater x =4

Answer:

Just count the number of zeros:

Step-by-step explanation:

There are 4 zeros, so the answer is 5 x 10^4.

Answer:

5 * 10^4

Step-by-step explanation:

In scientific notation, the amount an exponent has indicates how many zeroes are there.

Since we see four zeroes in the number 50,000

The only equation that would fit is of course 5 * 10^4

The equation for the nth term of the arithmetic sequence is  -6n + 14 and the found 50 is -286.

An arithmetic sequence is a series of numbers that are ordered and share a common difference between each succeeding term. In the arithmetic sequence 3, 9, 15, 21, 27, for example, the common difference is 6.

Arithmetic is the branch of mathematics that studies numbers by performing various operations on them. A sequence is a numerically ordered list. The three dots indicate that the pattern should be continued. The difference is six.

a + d(n - 1)

a = 8 (first term)

d = -6 (common difference)

8 - 6(n - 1)

= 8 - 6n + 6

= -6n + 14

Find a 50:

-6(50) + 14

= -300 + 14

= -286

Therefore, the equation for the nth term of the arithmetic sequence is  -6n + 14.

To learn more about an arithmetic sequence, refer to the link:

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Answer:

- 18x - 45

Step-by-step explanation:

=  12 (-2x + 3) - 3x + 9 (x - 9)

=  -24x + 36 - 3x + 9 (x - 9)

=  -24x + 36 - 3x + 9x - 81

=  -24x + 8x + 36 - 81

=  - 18x - 45

Answer:

Step-by-step explanation:

First, distribute,

12(-2x+3)-3x+9(x-9)

-24x+36-3x+9x-81

Now combine like terms,

Therefore, the answer is -18x-45

Answer:

-5x-1

Step-by-step explanation:

5x+- 4(x + 5) +19 - 6x

Distribute

5x -4x -20 +19 -6x

Combine like terms

-5x-1

Answer:

Step-by-step explanation:

[tex]5x+- 4(x + 5) +19-6x\\5x +(-4x-20)+19-6x\\\\5x -4x-20+19-6x\\\\Add \:similar\:elements\\5x-4x-6x-20+19\\\\=-5x -1[/tex]

Answer:

$738

Step-by-step explanation:

Uber X costs $40

Max orders 9

$40.00·9=$360.00

Uber XL costs $63

Max orders 6

$63.00·6=$378

$360.00+$378.00=$738

Hope this is helpful :-)

Answer:

There are 9 dots. So 9.

Step-by-step explanation:

Just take my word for it.

Answer:

1.3%

Step-by-step explanation:

percent = part/total × 100%

percent = 25,952/1,994,317 × 100%

percent = 1.30129...%

Answer: 1.3%

Answer:

Bella's average velocity is approximately 0.61 m/s.

Step-by-step explanation:

To find velocity, we divide displacement (in this case, the same as the distance Bella traveled) by the time taken to travel this displacement.

Velocity = displacement/time

If we plug in the given values, we get:

Velocity = 2.5m/4.1s

Velocity = 0.6097561 m/s

Therefore, the correct answer is about 0.61 m/s.

Answer:

Yes.

Step-by-step explanation:

They are both divisible by 21.

Answer:

Yes

Step-by-step explanation:

They both equal one half

Answer:

( 3/2, 12) is the midpoint

Step-by-step explanation:

To find the x coordinate of the midpoint, add the x coordinates together and divide by 2

( -5+8)/2 = 3/2

To find the y coordinate of the midpoint, add the y coordinates together and divide by 2

( 5+19)/2 = 24/2 = 12

( 3/2, 12) is the midpoint

Answer:

So the width is 3.25

Step-by-step

If the perimeter of a rectangle is 300 and the length is two times the  

width, what are the length and the width?

*Please don't get upset if this is incorrect, I am in 9th grade and I have severe dyslexia and dyscalculia*

:)

Answer:

4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.

Step-by-step explanation:

Numbers:

Let's see which option is correct:

-1.1 is a rational number, 4.5 and -6 are integers, and 12 is a whole number.

-1.1 and -6 are rational numbers, 12 is an integer, and 4.5 is a whole number.

4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.

12 is a rational number, -1.1 and -6 are integers, and 4.5 is a whole number.

Answer:

[tex]\frac{6}{y}[/tex]

Answer:

6/y.

Step-by-step explanation:

If the number is y then the expression 6/y.