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lisabon 2012 [21]
3 years ago
5

If Robbie wants to save money to buy a car, he must get a part time job.

Mathematics
1 answer:
Alla [95]3 years ago
8 0
He will eventually make enough money to buy his car

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the length of the longer leg of a right triangle is 3 ft more than three times the length of the shorter leg. the length of the
Ulleksa [173]

with the pythagorean theorem

\begin{gathered} (4+3x)^2=x^2+(3+3x)^2 \\ 16+24x+9x^2=x^2+9+18x+9x^2 \\ 16+24x+9x^2=10x^2+18x+9 \\ 16+24x+9x^2-9=10x^2+18x+9-9 \\ 9x^2+24x+7=10x^2+18x \\ 9x^2+24x+7-18x=10x^2+18x-18x \\ 9x^2+6x+7=10x^2 \\ 9x^2+6x+7-10x^2=10x^2-10x^2 \\ -x^2+6x+7=0 \end{gathered}

using the formula of the quadratic equation

\begin{gathered} x_{1,\: 2}=\frac{-b\pm\sqrt{b^2-4ac}}{2a} \\ x1=\frac{-6+\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=-1 \\ x2=\frac{-6-\sqrt{6^2-4\left(-1\right)\cdot\:7}}{2\left(-1\right)}=7 \end{gathered}

the length cannot be negative, therefore x=7

length of the shorter leg is: 7ft

length of the longer leg is: 3+3(7)= 24ft

length of the hypotenuse is: 4+3(7)= 25ft

5 0
1 year ago
Need answer to the question in the picture above
densk [106]

Answer:

solution given :

Since opposite side and side of a congruent triangle are equal.

Now

the statement which is true is:

<HDG=~ <HFE

8 0
3 years ago
The sum of 2/3 and twice a number is equal to 5/6 subtracted from three times a number​
strojnjashka [21]

Answer:

3÷2

Step-by-step explanation:

First let the required no. be 'x'.

By question,

(2÷3)+2x=3x-(5÷6)

or,(2+6x)÷3=(18x-5)÷6

or,2+6x=(18x-5)÷2

or,4+12x=18-5

or,x=9÷6

Therefore, x=3÷2

3 0
3 years ago
What is the name of the segment inside a triangle
Len [333]

Answer:

altitude is the answer

6 0
3 years ago
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The temperature of a city at sunset was -1 overnight,the temperature decreased by 11 what was the lowest temperature overnight i
docker41 [41]

Answer:

-12

Step-by-step explanation:

-1 - 11 = -12

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3 years ago
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