Can someone please help me with this it would be very much appreciated ​

E is the midpoint of DA, and F is the midpoint of DB. This means EF is a midsegment of the triangle. It is half as long as AB, and EF is also parallel to AB.

When we extend EF to form segment EC, it is now twice as long compared to EF. So that shows EC is the same length as AB, in other words, EC = AB. Also, EC is parallel to AB. This works due to points E, F, and C being on the same line.

Since EC || AB, we know that angle EBA = angle BEC. These are alternate interior angles.

From the reflective property, we can say EB = EB

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

Using these three facts

to prove that triangle EBA is congruent to triangle BEC. The next step is to use CPCTC (corresponding parts of congruent triangles are congruent) to lead to

angle BEA = angle EBC

we can use the alternate interior angle theorem converse to conclude that EA is parallel to BC.

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

In summary, we have proven:

By the definition of what it means to be a parallelogram, we have proven quadrilateral EABC is a parallelogram. In short, we've shown that the opposite sides are parallel.

Answer: P=55

Step-by-step explanation:

52=p-3

52+3= p+3

55=p (-3+3=0)

Answer:

Which of these factors is involved in earthquake formation?

plates getting larger

rocks breaking

stress that decreases

faults that remain stationary

Step-by-step explanation:

Answer:

The answer is below!

Step-by-step explanation:

I hope this helps!

Answer:

For the first one,"3x+2y=0". i got 5=0.

For the second one,"x-5y=17". I got 3x

Step-by-step explanation:

Answer:

Yes

8 ft

Step-by-step explanation:

The equation of the arch is

[tex]y=-0.0625x^2+1.25x+5.75[/tex]

Differentiating with respect to [tex]x[/tex] we get

[tex]\dfrac{dy}{dx}=-2\times 0.0625x+1.25=-0.125x+1.25[/tex]

Equating with zero

[tex]0=-0.125x+1.25\\\Rightarrow x=\dfrac{-1.25}{-0.125}\\\Rightarrow x=10[/tex]

Double derivative of the equation

[tex]\dfrac{d^2y}{dx^2}=-0.125<0[/tex]

So, the function is maximum at [tex]x=10[/tex]

[tex]y=-0.0625x^2+1.25x+5.75=-0.0625\times 10^2+1.25\times 10+5.75\\\Rightarrow y=12[/tex]

The function is maximum at [tex](10,12)[/tex]

So, the truck's center should be below the point [tex](10,12)[/tex] for maximum width to pass through.

Now truck is 11 feet tall so [tex]y=11[/tex]

[tex]11=-0.0625x^2+1.25x+5.75\\\Rightarrow -0.0625x^2+1.25x-5.25=0\\\Rightarrow x=\frac{-1.25\pm \sqrt{1.25^2-4\left(-0.0625\right)\left(-5.25\right)}}{2\left(-0.0625\right)}\\\Rightarrow x=6,14[/tex]

The maximum width of the truck can be [tex]14-6=8\ \text{ft}[/tex] if it is 11 feet tall.

So, the truck which has a width of 7 feet can fit under the arch.

Answer:

it's B

Step-by-step explanation:

lol how do you not know this

Answer:

B

Step-by-step explanation:

Answer:

12. Hope this helps!!!

Step-by-step explanation:

Answer: Option D

Step-by-step explanation: edge

Answer:

1

Step-by-step explanation:

12-6x=-8x+7+7x

-6x+8x-7x=7-12

-5x=-5

X=5/5

X=1

So the value of X is 1

Answer:

4

Step-by-step explanation:

ΔABC is congruent with ΔDEF.  That means the corresponding sides are congruent.

Look at the order of the letters.  EF are the last two letters of ΔDEF.  So this corresponds with the last two letters of ΔABC.  Therefore, EF ≅ BC.

EF ≅ BC

x² + 8x = 48

x² + 8x − 48 = 0

(x + 12) (x − 4) = 0

x = -12 or 4

Since x can't be negative, x = 4.

Answer:

61 boys

Step-by-step explanation:

x=girls

2x+5+x=89

3x+5=89

3x=84

x=28

28 x 2 = 56

56+5=61

The number of boys in the band will be 61.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that there are 89 students in the Oakwood Middle School band. The number of boys in the band is 5 more than twice the number of girls.

The equation can be formed as below,

2x+5+x=89

3x+5=89

3x=84

x=28

The number of boys will be,

B = 2x + 5

B = 28 x 2 + 5

B = 56+5=61

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Answer:

Step-by-step explanation:

F(3) = 3(3)+7 =16

Answer: £78

Step-by-step explanation

It decreased by 1/3 and after the reduction it was £26 so you have to get the other 2/3 so you multiply £26 by 3 to get the 3/3 that you need that will give you £78.

26 × 3 = £78

Answer:

The final sales tax price is $6.30.

Step-by-step explanation:

We know that the item has a listed price of $70, and it also has a 9% sales tax rate. In order to calculate this amount we need to do some multiplying.

$70 is the full amount of money, or 100%, plus 9% is 109%. To calculate the sales tax, we need to multiply the listed price by the sales tax rate.

70 x 1.09 = 76.3

Now, we must subtract the listed price (or $70), by the sales tax price (or $76.30)

76.3 - 70 = $6.30

Therefore, the final price of the sales tax is $6.30.

Hope this helps! :)

Answer:

12 Rides

Step-by-step explanation:

After you pay $25 for admission you only have $15 left. If you multiply 1.25 × 12 you get 15.

Answer: A. 12

Step-by-step explanation:

40 - 24 = 15

15/1.25 = 12

Hope this helps :)

Answer:

105.8

Step-by-step explanation:

All you have to do is add them up :)

Answer:

95.80

Step-by-step explanation:

Btw this is very easy Hope this Helps tho (✿◡‿◡)

Answer:

x=4

Step-by-step explanation:

(2x+3)^2=121

2x+3=square root of 121

2x+3=11

2x=11-3

2x=8

x=4

(in a square all sides are equal therefore area =length ×width where length and width=2x+3)

Answer:

0.00110192837

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

I solved the problem step by step on paper and got it right

Answer:

less than or equal to 24

Step-by-step explanation:

this symbol ≤

Answer:

Y=6/5x+5

Step-by-step explanation:

Answer:

1:4.5 or 2:9 if you want it a whole number.

Step-by-step explanation:

81/18 = 4.5If your trying to get it to a whole number the answer would be 2:9 because 18/9 = 2 and 81/9 = 9 so 1:4.5 or 2:9.

Answer:

A and H are correct

Step-by-step explanation:

I took the quiz

The expression for the given statement is n³/16-2+8. Therefore, the options A and H are correct answer.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given statement is “two less than the quotient of a number cubed and sixteen, increased by eight”

"Two less than x" describes "x- 2"

"Quotient of x and y" describes  x/y

"x increased by y" describes x+y

n³/16 is the quotient and 2 is subtracted and 8 is increased which means 8 is added.

So, the expression is n³/16-2+8

= n³/16 +6

When n=4, we get

4³/16 +6

= 4+6

= 10

Therefore, the options A and H are correct answer.

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Answer:

It would be 90.284.

Step-by-step explanation:

Answer:

7x - 2y - 4 = 0

Step-by-step explanation:

from the perpendicular equation formula,

y/a + x/b = 1

x1 = 4

y1 = 12

a = -2

b= ?

Inserting the values into the above formula,

12/-2 + 4/b = 1

-6 + 4/b = 1

4/b = 7

b = 4/7

putting a and b into the original formula,

y/-2 + x/(4/7) = 1

-y/2 + 7x/4 = 1 (×4)

-2y + 7x = 4

7x - 2y - 4 = 0

Therefore, the equation of the line is;

7x - 2y - 4 = 0

Answer:

1. -32

2. -46

Step-by-step explanation:

1. When muliplying a number with a postive number and a negative number the answer will be a negative number

2. When you have a negative number and when  you have a postive number and you are subtracting your answer has to be a negative answer

Answer:

cvgbnm,m

Step-by-step explanation:

bxxcvn vn

Answer:

x squared+4x−12

Step-by-step explanation:

Answer:

[tex] {x}^{2} + 4x - 12[/tex]

Step-by-step explanation:

[tex](x + 6)(x - 2)[/tex]

[tex] = > x(x - 2) + 6(x - 2)[/tex]

[tex] = > {x}^{2} - 2x + 6x - 12[/tex]

[tex] = > {x}^{2} + 4x - 12[/tex]

Answer:

A

Step-by-step explanation:

because 1/2 = 4/8

and 5/8 is greater than 4/8  

The number line is the representation of numbers in real order.

5/8 = 0.625

1/2 = 0.50

5/8 is greater than 1/2.

Option A is the correct answer.

It is the representation of numbers in real order.

The difference between the consecutive numbers in a number line is always positive.

Example: Number line from -4 to 4.

-4__-3__-2__1__0__1__2__3__4

We have,

5/8 > 1/2

5/8 = 1/2

5/8 < 1/2

5/8 = 0.625

1/2 = 0.50

We see that,

0.625 > 0.50

So,

5/8 must be greater than 1/2

i.e

5/8 > 1/2

We can also find the relation between 5/8 and 1/2 in this way.

5/8 = 1/2

Cross multiply.

5 x 2 = 8

10 = 8

10 is greater than 8

So,

5/8 is greater than 1/2

5/8 > 1/2

Thus,

5/8 = 0.625

1/2 = 0.50

5/8 is greater than 1/2.

Option A is the correct answer.

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