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Thepotemich [5.8K]
2 years ago
6

On his math test Balaban wrote that a four sided polygon that has at least two right angles must be a rectangle or a square. Dan

a wrote that a four Sided polygon needs at least three right angles to be a rectangle or a square. Who is right
Mathematics
1 answer:
Zarrin [17]2 years ago
8 0

Dana is correct. The sum of the angles in a quadrilateral is 360°, so if 3 of the angles are 90°, the fourth must also be 90°, creating a rectangle or a square.

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Carlos drew a plan for his garden on a coordinate plane. Rose bushes are located at A(–5, 4), B(3, 4), and C(3, –5)
BartSMP [9]

Given:

A(-5,4)

B(3,4)

C(3,-5)

So point D is:

so point D is (-5,-5)

For AB is

Distance between two point is:

\begin{gathered} (x_1,y_1)and(x_2,y_2) \\ D=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \end{gathered}

so distance between A(-5,4) and B(3,4) is:

\begin{gathered} D=\sqrt[]{(3-(-5))^2+(4-4)^2} \\ =\sqrt[]{(8)^2+0^2} \\ =8 \end{gathered}

So AB is 8 unit apart.

For B(3,4) and C(3,-5).

\begin{gathered} D=\sqrt[]{(3-3)^2+(-5-4)^2} \\ =\sqrt[]{0^2+(-9)^2} \\ =9 \end{gathered}

So BC is 9 unit apart.

For fourth bush point is (-5,-5) it left of point C(3,-5) is:

\begin{gathered} D=\sqrt[]{(3-(-5))^2+(-5-(-5))^2} \\ =\sqrt[]{(8)^2+0^2} \\ =8 \end{gathered}

so fourth bush is 8 unit left of C.

For fourth bush(-5,-5) below to point A(-5,4)

\begin{gathered} D=\sqrt[]{(-5-(-5))^2+(4-(-5))^2} \\ =\sqrt[]{0^2+9^2} \\ =9 \end{gathered}

so fourth bush 9 units below of A.

8 0
1 year ago
Solve quadratic equation (x-3)^2+5=14
loris [4]
(X-3)^2+5=14
Step 1: simplify both sides of the equation
X^2-6x+14=14

Step 2: subtract 14 from both sides
X^2-6x+14-14=14-14
X^2-6x=0

For this equation: a=1, b=-6,c=0
1x^2+-6x+0=0

Step 3: Use quadratic formula with a=1, b=-6, c=0

The answer is x=6 or x=0

5 0
3 years ago
Select the graph of the solution. Click until the correct graph appears.
faust18 [17]

Answer:

C. is your answer

Step-by-step explanation:

4 0
2 years ago
Find the area of this figure (sides meet at right angles)
Marrrta [24]

Answer:

60 cm²

Step-by-step explanation:

Just divide the figure in parts and then find their areas separately. At last, find the area of the whole figure by adding the areas of the parts

6 0
2 years ago
Please help as soon as possible
Studentka2010 [4]
The lines are reciprocal because they cross to form an X. Also 4/5 is the reciprocal of 5/4
4 0
3 years ago
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