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dangina [55]
3 years ago
10

Need help with Geometry proof please!!!

Mathematics
1 answer:
scoray [572]3 years ago
8 0

Step-by-step explanation:

QR is parallel to TU | Given

S is the midpoint of QT | Given

QS = ST | Definition of midpoint

<QSR = <TSU | definition of vertical angles

<QRS = <STU | Definition of Alternate Interior Angles

QSR = TSU | ASA

Pretty sure that's right :D

Also, wherever it says "=", I mean congruency symbol

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The width of a rectangle is (x+1) and the length is (x-6). What is the length and width of the rectangle if the area is 30 squar
jolli1 [7]

Answer:

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) =  10 feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

<em>Given that the width of the rectangle  = (x+1) feet</em>

<em>Given that the length of the rectangle = ( x-6) feet</em>

<em>The area of the rectangle = 30 square feet</em>

<u><em>Step(ii):-</em></u>

We know that the area of the rectangle

                = length ×width

    30   = ( x+1)(x-6)

    30   = x² - 6x + x -6

⇒ x² - 5 x - 6 = 30

⇒ x² - 5 x - 6 - 30 =0

⇒ x² - 5 x - 36 =0

 x² - 9 x +4x - 36 =0

   x (x-9) +4 ( x-9) =0

   ( x+4 ) ( x-9) =0

     ( x+4 ) =0 and  ( x-9) =0

     x =-4 and x =9

<u><em>Step(iii):-</em></u>

we have to choose x =9

     The length of the rectangle (l) =  x-6 = 9-6 =3

      The width of the rectangle (W) =  x+1 =  9 +1 = 10

<u><em>Final answer:-</em></u>

The length of the rectangle (l) = 3 feet

The width of the rectangle (W) =  10 feet

5 0
3 years ago
Peter spent $450 on groceries in 3 months.What is the amount he spent every month on groceries, if he spent the same amount ever
WITCHER [35]
The amount he spends per week is 450/3=$150.
6 0
4 years ago
I dont understand how to do this inequality 4x +6 &lt;-6
Mama L [17]
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Second, simplify -6 - 6 to -12. / Your problem should look like: 3x < -12
Third, divide both sides by 4. / Your problem should look like: x < -\frac{12}{4}
Fourth, simplify \frac{12}{4} to 3. / Your problem should look like: x < -3

Answer: x < -3
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5 0
4 years ago
One of two or more Expressions that are multiplied together to get a product
slamgirl [31]

Answer:

  factor

Step-by-step explanation:

We assume this is a vocabulary question and you want the word that has the definition you have supplied.

Such an expression is called a <em>factor</em>.

6 0
3 years ago
Which measurement is greater:640 ft or 0.5 mi
hammer [34]

Answer:

0.5 mi (2640 feet)

Step-by-step explanation:

7 0
3 years ago
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