the sum of two consecutive even intergers is 106. what are the intergers?

There are markings given in the diagram.

(Angle) ∠A and ∠D are =

(Side) AC and DB are =

(Side) In a trapezium, the opposite sides are equivalent, meaning AB and DC are =

So you got side, angle, and another side.

You can form the SAS (Side-Angle-Side) similarity theorem.

You can also use the reasons above to make a Statement-Proof table

Answer:

1

Step-by-step explanation:

when multiplying fractions it doesn’t matter if they have the same denominator (bottom) just multiply straight across

(6/12)x(6/3)

36/36

1

Answer:

64w^4 - 48w^2 + 9

Step-by-step explanation:

(I rearranged the terms so I could solve it easier)

Expanding the square:

(-8w^2 + 3)^2

(-8w^2 + 3)(-8w^2 + 3)

Combining like terms:

64w^4 - 24w^2 - 24w^2 + 9

64w^4 - 48w^2 + 9

Final answer: 64w^4 - 48w^2 + 9

Answer:

0

Step-by-step explanation:

that what goggle told me

Answer: (2, 0)

When y hits zero, that's where you can find the zero thing

answer is 104

Step-by-step explanation:

let the no. of girls =x

then no. of boys=x+52

A.T.Q

x+52/x=3/1

x=26

hence girls =26

and boys =78

total students =26+78=104

Answer:the ratio of boys to girls now is 21:17 now you just at 21 and 17 which is 38 then that’s the answer.

Step-by-step explanation:

Answer:

0

=

(

x

2

−

4

x

)

−

5

=

(

x

2

−

4

x

+

4

)

−

4

−

5

=

(

x

−

2

)

2

−

9

so

(

x

−

2

)

2

=

9

or

x

−

2

=

±

√

9

or

x

=

2

±

3

so

x

=

−

1

or

x

=

5

Step-by-step explanation:

Answer:

Ah man........

Step-by-step explanation:

Are you crazy??

Answer:

the y-intercept is 7

Step-by-step explanation:

y=mx+b

m=slope

b= y-intercept

He saved 30 dollars through babysitting. My math is:

84 / 14 = 6

6 x 5 = 30

I hope this helps!

Answer:

C) $14.2

Step-by-step explanation:

$3 is flat value. minimum price. $0.8 per mile for 14 miles is 0.8x14 which equals to 11.2. Add $3 and get $14.2.

C) 14.20

.8×14=11.2

11.2+3=14.2

===============================================

Explanation:

Highlight the path that starts with A and then leads to D

Multiply the values highlighted to get 0.5*0.6 = 0.3

Effectively we've computed the following

P(A and D) = P(A)*P(D given A)

P(A and D) = 0.5*0.6

P(A and D) = 0.3

The notation "D given A" indicates we know event A has happened. We cannot simply say P(D) because there is another event D that happens on the lower branch B; so instead we say P(D given A). You can replace the word "given" with a vertical bar to write P(D | A), though in my opinion the vertical bar could be easily mistaken for the uppercase letter i, a lowercase letter L, or the numeric digit "one". I find its easier to describe what is going on rather than use the vertical bar notation.

Answer: x = 108

Step-by-step explanation: In this problem, we're given a diagram and

we're asked to find the value of x that would make m ll n.

We can see that the angles that are marked in the diagram

are same-side interior angles since they lie on the same side

of the transversal and they lie on the interior of lines m and n.

Therefore, in order for line m to be parallel to line n,

these angles must be supplementary.

In other words, they must add to 180 degrees.

So we can setup the equation x + 72 = 180.

Subtracting 72 from both sides gives us x = 108.

So the value of x that would make line m ll n is 108.

Answer:

(0, -2) and (1, 1) both work in this system of equations.

Step-by-step explanation:

Happy to help! The best way to find if it is a solution is to look for those points on the graph. When we graph the point, it needs to fall in an area where both lines or shaded or on a solid line.  

Look carefully and see if you can find points like these!

(0, -2) falls on a solid line.  

(1, 1) falls in the double shaded area.

Therefore, (0, -2) and (1, 1) both work in this system of equations.

Good luck!

Answer:

1,1 and 2,2

Step-by-step explanation:

i just took the test

Answer:

1.75+0.75x=4

Step-by-step explanation:

$1.75 is the set price, and you add $0.75 for every topping.

Answer:

51

Step-by-step explanation:

A = Surface area of the Earth = [tex]1.5\times 10^8\ \text{km}^2[/tex]

Total number of people on Earth = 7.594 billion as of 2018 = [tex]7.594\times 10^9[/tex]

We need to find the number of people living in each square km of land area.

So, we need to divide the number of people by the land area of the Earth.

[tex]1.5\times 10^8\ \text{km}^2=7.594\times 10^9\ \text{people}[/tex]

[tex]\Rightarrow 1\ \text{km}^2=\dfrac{7.594\times 10^9}{1.5\times 10^8}[/tex]

[tex]\Rightarrow 1\ \text{km}^2=50.63\approx 51\ \text{people}[/tex]

So, 51 people will inhabit each square km of land area.

Answer:

A buyer would have to pay $533.45 for an article whose marked prices $567.50.

Step-by-step explanation:

Marked price = $567.50

Discount=6%

Price after discount = 567.50 - 6% of 567.50

                                  [tex]=\:567.50\:-\frac{6}{100}\:\times \:567.50[/tex]

                                   [tex]=567.5-34.05[/tex]

                                    [tex]=533.45[/tex] $

Therefore, a buyer would have to pay $533.45 for an article whose marked prices $567.50.

Answer:

[tex]\frac{5}{6}[/tex]

Step-by-step explanation:

Answer:

-5/6

Step-by-step explanation:

Answer:

38 units (rounded off to the nearest unit)

Step-by-step explanation:

The perimeter of the given figure will be 38 units.

Its the sum of length of the sides used to made the given figure.

We are given that Measures of three linear sides as 5, 10, 10, 5 units.

Radius of the circular part = 5 units

Since Perimeter of a polygon = Measure of the circumference of the polygon

The Perimeter of the figure = measure of the three straight lines + measure of the circumference of the quarter circle

Thus Measure of linear sides = 5 + 10 + 10 + 5 = 30 units

Circumference of the quarter circle =  2πr

=  2π(5)

= 7.85 units

Perimeter of the figure = 30 + 7.85

                                     = 37.85

                                     ≈ 38 units

Therefore, the perimeter will be 38 units.

Learn more about perimeter here:

https://brainly.com/question/10466285

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Answer:

24 Balloons for Felicity

25 balloons for Grumpy

Step-by-step explanation:

Graph y = 2/5x

Graph y = 5/12x

Graph x = 60

Find intersects

(60,24)

(60,25)

Answer:

The quotient of: [tex]\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}[/tex] is: [tex]\mathbf{3.3\times 10^{-4}}[/tex]

Step-by-step explanation:

We need to find quotient of: [tex]\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}[/tex]

We know that [tex]10^0=1[/tex]

Now solving:

[tex]\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}\\=\frac{2.64\cdot 10^{-3}}{8.0}\\=\frac{0.00264}{8}\\=0.00033[/tex]

Writing it in scientific notation

[tex]0.00033\\=3.3\times10^{-4}[/tex]

So, the quotient of: [tex]\frac{2.64\cdot 10^{-3}}{8.0\cdot 10^0}[/tex] is: [tex]\mathbf{3.3\times 10^{-4}}[/tex]

Step-by-step explanation:

15.75 very easy.......

Answer:

6+4x-3z

Step-by-step explanation:

-2+6x+z-2x+8-4z

6+6x+z-2x-4z

6+4x+z-4z

6+4x-3z

The rounding number of 10676 nearest 100 is 10,700.

What is Rounding number?

To making a number simpler but keeping its value close to what it was, is called Rounding.

Given that;

The number is 10,676

Now, To round the number nearest to the 100 , we check the tens digit ,if the digit is equal to 5 or more then round up, and if the number is less than 5 then its round down.

Here, In the number 10,676 the digit in the tens place is 7 which is more than 5, so we can round up.

Hence, The rounding number = 10,700

Thus, The rounding number of 10676 nearest 100 is 10,700.

Learn more about the rounding number visit:

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Answer: 2/3 x +6

Step-by-step explanation:

slope is 2/3 and y intercept is 6

5x - 3y = 2. -3y = -5x + 2. y = (5/3)x - 2/3. x y.

5x-3y=2

-3y=-5x+2

y=(5/3)x-2/3

Answer:

-2,3

Step-by-step explanation:

the x being -2 would be the x answer while 3 would be the y so it eould go like this

2(3) + -2=4

6+-2=4

Step-by-step explanation:

let the equation be y - y1 = 3/4(x - x1)

sub (4, 1/3):

y - 1/3 = 3/4(x - 4)

therefore answer is option 2.

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I constantly post math tips! Thanks!

Answer:

[tex]y-\frac{1}{3} =\frac{3}{4} (x-4)[/tex]

Step-by-step explanation:

To see which equations have the slope of 3/4, we just need to focus on the right half of the equations to see what the multiplier of x is.

Equations 1 and 3 can be eliminated because they have a slope of [tex]\frac{1}{3}[/tex] and 4 respectively.

Now we can decide between 2 and 4 by plugging in the point [tex](4,\frac{1}{3})[/tex] to see which works properly.

Simplify equation 2

[tex]y-\frac{1}{3} =\frac{3}{4} (x-4)\\\\y-\frac{1}{3} =\frac{3}{4}x-3\\\\y=\frac{3}{4}x-\frac{8}{3}[/tex]

Plug in the point

[tex]\frac{1}{3} =\frac{3}{4}(4)-\frac{8}{3} \\ \\\frac{1}{3} =3-\frac{8}{3} \\\\\frac{1}{3} =\frac{9}{3} -\frac{8}{3} \\\\\frac{1}{3} = \frac{1}{3}[/tex]

This checks out, so equation 2 is your answer.