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GarryVolchara [31]
3 years ago
11

The question is on the picture

Mathematics
1 answer:
Ghella [55]3 years ago
7 0

Answer:6/10

Step-by-step explanation:

hope youdo well

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How do I prove that the figure is a rectangle ? <br> I really need help I don’t know what to do.
goldenfox [79]

Answer:

If all angles in a quadrilateral are right angles, then it’s a rectangle (reverse of the rectangle definition). (Actually, you only need to show that three angles are right angles — if they are, the fourth one is automatically a right angle as well.)

If the diagonals of a parallelogram are congruent, then it’s a rectangle (neither the reverse of the definition nor the converse of a property).

If a parallelogram contains a right angle, then it’s a rectangle (neither the reverse of the definition nor the converse of a property).

Tip: Do the following to visualize why this method works: Take an empty cereal box and push in the top flaps. If you then look into the empty box, the top of the box makes a rectangular shape, right? Now, start to crush the top of the box — you know, like you want to make it flat before putting it in the trash. As you start to crush the top of the box, you see a parallelogram shape. Now, after you’ve crushed it a bit, if you take this parallelogram and make one of the angles a right angle, the whole top has to become a rectangle again. You can’t make one of the angles a right angle without the other three also becoming right angles.

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
each morning a gardener uses 24 3/4 gallons of water from a barrel. each afternoon, she adds 15 1/4 gallons of water to the barr
Nimfa-mama [501]

Answer:

47\frac {1}{2}\ gallons

Step-by-step explanation:

Assuming that the tank is only for agricultural use, also no significant leakages then at the end of the day, the amount consumed will be equivalent to 24\frac {3}{4}-\ 15\frac {1}{4}=9\frac {1}{2}

For 5 days, the quantity reduces by 9.5*5=47.5 gallons

Therefore, the barrel would have changed by 47\frac {1}{2}\ gallons

6 0
3 years ago
Does anyone know how to do reverse percentages?
LenKa [72]
Move the decimal 2 places to the left.
5 0
3 years ago
Read 2 more answers
Casey bought sandwiches and bags of chips. Each sandwich cost three times asmuch as a bag of chips. She bought 5 sandwiches for
Lerok [7]

Answer:

Casey Bought 6 bags of chips

Step-by-step explanation:

If each sandwich costs 3 times the amount of a bag of chips and the sandwich is 6 dollars, the chips are 2 dollars. Casey bought 5 sandwiches and spent $30 dollars on sandwiches. Since the total was $42 dollars you have $12 dollars left to get your total of $42. 2x6 = 12 so therefore Casey bought 6 bags of chips.

5 0
3 years ago
Choose the table that represents g(x) = 3⋅f(x) when f(x) = x − 1.
Nastasia [14]

\bf f(x)=x-1\qquad \qquad g(x)=3\cdot f(x)\implies g(x)=\underline{3(x-1)} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{ccll} x&g(x)\\ \cline{1-2} 1&0\\2&3\\3&6 \end{array}\qquad \qquad (\stackrel{x_1}{1}~,~\stackrel{y_1}{0})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{6})

\bf slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-0}{3-1}\implies \cfrac{6}{2}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=3(x-1)\implies y=\underline{3(x-1)}

7 0
2 years ago
Read 2 more answers
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