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bogdanovich [222]
3 years ago
13

If a quadrilateral has four congruent angles, it is a rectangle F or T?

Mathematics
2 answers:
Drupady [299]3 years ago
7 0
False Dont quote me though 
tiny-mole [99]3 years ago
6 0
All quadrilaterals have 360 degrees in all 4 angles added up. If all 4 angles are congruent, they must all be 90 degrees, making it a rectangle. So the answer is true.
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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions
Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}

The quadratic equation can now be solve using factorization method:

\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\  \\ Width=x=5\text{ }ft \end{gathered}

7 0
1 year ago
Alex jogs 5,000 meters twice a day. How many kilometers does Alex jog each day?
murzikaleks [220]

1 kilometer = 1000 meters

5000 meters / 1000 = 5 kilometers


5 kilometers x 2 times per day = 10 kilometers per day.


answer: D) 10 kilometers

3 0
2 years ago
When filled, a particular round balloon has a diameter of 14 inches (in.).
icang [17]

Answer:

1436.76 in.^3

Step-by-step explanation:

This question means to find the volume of a sphere with a diameter of 14 inches. The formula for the volume of a sphere is 4/3πr^3, so we need to find the radius, which is half the diameter. Half of the diameter is 7 inches, so now we can plug in our values to find the volume is about 1436.76 cubic inches.

4 0
3 years ago
The answer is C, but I don't understand why- can anyone tell me?
finlep [7]

Answer:

It's C because we are adding a number on the x but here we skip 5 so it's 6, and on y we add 4 up but since we skipped 5 we add 8 and we get 24. 6, 24. You may say "but SpiritBear, 17 plus eight is 25" and that is true, but if you notice the lowest dot actually starts on 5, not 4 making C right.

Hope this helped and wasn't too confusing

7 0
2 years ago
Chelsea had $71.18 she bought a new pair of glasses for $59.95 can she buy a case that costs $12.95​
Veseljchak [2.6K]

No, because she only has $11.23 left.

4 0
3 years ago
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