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diamong [38]
3 years ago
13

Imagine drawing a figure with the following conditions: A quadrilateral with at least two right angles. Is the figure described

unique? Explain why or why not.
Mathematics
2 answers:
Mrac [35]3 years ago
6 0

Answer:

The figure is NOT unique.

 Imagine the following quadrilaterals:

 Rectangle

 Square

 We know that:

 Both quadrilaterals have at least two right angles.

 However, they are not unique because they depend on the lengths of their sides.

Step-by-step explanation:

To construct a quadrilateral uniquely, five measurements are required.  A quadrilateral can be constructed uniquely if the lengths of its four sides and a diagonal are given or  if the lengths of its three sides and two diagonals are given.

Just given two angles we cannot construct a unique quadrilateral.  There may be an infinite number of quadrilaterals having atleast two right angles

Examples:

All squares with varying sides

All trapezoids with two right angles

All rectangles with different dimensions

and so on.

Answer is

No.

Ahat [919]3 years ago
3 0

Answer: The figure described is not unique. Squares, rectangles, and trapezoids can all have two right angles. The description also allows for any size figure because it does not give any side lengths.

Step-by-step explanation: The Sample Answer

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Find the common ratio for the following sequence. 0.1, 0.01, 0.001, ... 0.01 0.1 0.001
Zinaida [17]

Answer:

\frac{1}{10}

Step-by-step explanation:

a_1 = 0.1\\a_2 = 0.01\\a_3 = 0.001

r = \frac{a_2}{a_1}

r = \frac{0.01}{0.1}

r=0.1

5 0
3 years ago
During a sale, every item in a store is 80% of its regular price. If the regular price of a T-shirt is $10, what is its sale pri
kipiarov [429]

Answer:

Step-by-step explanation:

If the regular price of a T-shirt is 10 USD and the store sells off its wares at 80% of its regular price, then the price at which the store would still the aforementioned T-shirt would be 80% of its 10 USD price.

80% of $10 =

0.8 * 10 = $8

This means that the price at which the T-shirt will go for, due to the ongoing sales will be $8.

Also, being asked to find the 10% and 20% of $10 is just as simple

10% of $10 =

0.1 * 10 = $1

20% of $10 =

0.2 * 10 = $2

Therefore, the 10% and 20% of $10 is $1 and $2 respectively.

3 0
3 years ago
If the perimeter of Triangle XYZ is 56 cm, what is the perimeter of Triangle ABC?
Troyanec [42]

Answer:

28 cm

Step-by-step explanation:

Triangle ABC is obtained by joining the mid points of the sides of triangle XYZ.

So, perimeter of triangle ABC will be equal to half of the perimeter of triangle XYZ.

P(\triangle ABC) = \frac{1}{2} \times P(\triangle XYZ)

P(\triangle ABC) = \frac{1}{2} \times 56

P(\triangle ABC) = 28\: cm

6 0
2 years ago
Wanda jumped rope 25 times every minute. What is the algebraic equation to express the function of the total number of times Wan
jasenka [17]
The answer is a m=25j
8 0
2 years ago
How would I solve number six?
Basile [38]

Answer:

Angle ABC is equal to 130.4°

Step-by-step explanation:

When an angle is bisected, it is divided into two equal parts, so if BD bisects ∠ABC, then the two angles that add up to it, ∠ABD and  ∠DBC, must be equivalent.

We know that ∠ABD equals 65.2, so that must mean that ∠DBC also equals 65.2.

Here is our equation:

∠ABC=∠ABD+∠DBC

After substituting, we will get

∠ABC=65.2+65.2=130.4

130.4° is the measure of ∠ABC.

6 0
3 years ago
Read 2 more answers
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