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Sav [38]
3 years ago
12

My rectangular soccer field site has a length equal to one and a half times it’s width. Find the area of its length x.

Mathematics
1 answer:
Greeley [361]3 years ago
3 0

Answer:

Let width = x

Let length = 1.5x

Area = (length)(width)

Area = 1.5x2

Step-by-step explanation:

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Write this number in scientific notation 0.000000358​
Fittoniya [83]

Step-by-step explanation:

0.000000358 written as scientific notation is

3.58 \times  {10}^{ - 7}

8 0
3 years ago
Fill in the missing statement and reason in the proof of the Alternate Exterior Angles Theorem.
ludmilkaskok [199]

Answer:

∠EGB and ∠AGF are congruent;

Transitive Property of Equality

Step-by-step explanation:

The vertical angles theorem is about the angles that are opposite to each other. These angles are formed when two lines cross each other

Vertical angles are congruent i.e their measures are equal

Look at the attached graph

Given:

AB // CD

E , G , H , F are col-linear

The line which contains points E , G , H , F is a transversal for the parallel lines AB and CD

∵ AB and EF intersected at point G

∴ m∠EGB = m∠AGF ⇒ by the vertical angles theorem

When lines AB and EF intersected at G they formed opposite angles like angles EGB and AGF, then angles EGB and AGF are congruent (  vertical angle theorem)

∵ AB // CD and EF is a transversal

∴ m∠AGF = m∠CHF (corresponding angles theorem)

Transitive Property of Equality:  if one angle is equal to two other angles, then the two other angles are equal

 Therefore, If a = b and b = c, then a = c

∵ m∠EGB = m∠AGF

∵ m∠AGF = m∠CHF

∴ m∠EGB = m∠CHF (transitive property theorem)

 ∠EGB and ∠AGF are congruent; Transitive Property of Equality

4 0
3 years ago
Read 2 more answers
Find the mean and median of the number
Yakvenalex [24]

Answer:

Mean Is 3 , Median Is 3

Step-by-step explanation:

The mean is the usual average, so I'll add and then divide:

0 + 1 + 2 + 3 + 4 + 5 + 6 = 21 divide by 7 you'll get 3

The median is the middle value, so first you'll have to rewrite the list in numerical order: There are seven numbers in the list, so the middle one will be the answer which is 3

0 , 1 , 2 , 3 , 4 , 5 , 6

5 0
3 years ago
Find the values of a b and c for which the quadratic equation ax^2+bx+c=0 has the solutions -3 and 1
zavuch27 [327]
It may be easier to start from

.. a(x +3)(x -1) = 0
.. a(x^2 +2x -3) = 0

The quadratic
.. ax^2 +bx +c = 0 will have solutions -3 and 1 for ...

.. a ≠ 0
.. b = 2a
.. c = -3a
7 0
3 years ago
Given the linear equation 2x+y=6, perform the necessary operations to put the equation into the proper general form. Include the
forsale [732]

The general form of the given equation is 2x+y-6 = 0.

<u>Step-by-step explanation</u>:

  • The given linear equation is 2x+y=6.
  • The general form of the equation is AX+BY+C=0.

where,

  • A is the co-efficient of x.
  • B is the co-efficient of y.
  • C is the constant term.

<u>From the given equation 2x+y=6, it can be determined that</u> :

The co-efficient of x is 2. It is in the form AX = 2x. Thus, no change is needed.

The co-efficient of y is 2. It is in the form BY = 1y. Thus, no change is needed.

The constant term 6 should be replaced to the left side of the equation, since the right side of the equation must be 0 always.

While moving the constant term form one side of the equation to other side, the sign changes from +ve to -ve.

Therefore, the general form is given as 2x+y-6 = 0.

7 0
3 years ago
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