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aleksandr82 [10.1K]
3 years ago
10

Nathan cut a rectangular tile in half for his kitchen floor design. The tile was NOT a square. He made once cut along a diagonal

from one vertex to another vertex. Classify the TWO triangles resulting from the cut by their angles and their side angles.

Mathematics
2 answers:
zhenek [66]3 years ago
6 0
They will both be right, scalene triangles.
Harlamova29_29 [7]3 years ago
5 0

Answer with Explanation:

It is Given that Nathan cut a rectangular tile in half for his kitchen floor design.

As,the cut is made along a diagonal from one vertex to another vertex.

If you cut rectangle along through any of two diagonals,

you will get two triangles which are congruent.

→∵ Opposite sides are Congruent.

→Diagonal is common.

So,two triangles will be congruent by SAS.

Triangles categorized as

1. Scalene triangle

2. Right Triangle

The Two Triangles named in a single way as Scalene Right Triangle.

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You can work a total of no more than 35 hours each week at your two jobs. Housecleaning pays $7 per hour and your sales job pays
Alex787 [66]

Answer: 7x + 9y >_ (more or equal) 314

X + Y <_ ( less or equal) 35

Step-by-step explanation:

5 0
3 years ago
Find the values of x and y
PSYCHO15rus [73]

Hi there!

So you're looking at an equilateral triangle, which is a big word that basically means all three sides are equal and all three angles are 60°.


Knowing that, the mesure of one side is 7, so necessarily the side "x" is also equal to 7.

So the value of x is : 7


And since all angles are of 60°, necessarily the angle "y" has an angle of 60°.

So the value of y° is : 60°


There you go! I really hope this helped, if there's anything just let me know! :)

6 0
3 years ago
Read 2 more answers
Help with number 5 thx
Temka [501]

First, we find the area of the circle.

A = pi * r^2

A = pi * (1 cm)^2

A = pi cm^2

The area of the circle is pi cm^2.

The area of the triangle is also pi cm^2.

Now we use the area of a triangle.

A = (1/2)bh

(1/2)bh = A

(1/2)(3 cm)h = pi cm^2

(3 cm)h = 2pi cm^2

h = (2/3)pi cm

The exact height is \dfrac{2\pi}{3} ~cm

If you want an approximate height, then it is 2.09 cm.

3 0
3 years ago
Find the area of quadrilateral ABCD. A. 27.28 units² B. 33.08 units² C. 28.53 units² D. 26.47 units²
Ludmilka [50]

Answer:

<h3>\boxed{ \boxed{ \bold{ \purple{ \sf{28.53 \:  {units}^{2} }}}}}</h3>

Option C is the correct option.

Step-by-step explanation:

For ABD

\sf{ =  \frac{2.89 + 8.59 + 8.6}{2} }

\sf{ =  \frac{20.08}{2} }

\sf{ = 10.04}

∆ ABD = \sf{ =  \sqrt{10.04(10.04 - 2.89)(10.04 - 8.59)(10.04 - 8.6)} }

\sf{  = \sqrt{10.04 \times 7.15 \times 1.45 \times 1.44 }}

\sf{  =  \sqrt{149.8891} }

\sf{ = 12.2429}

For ∆ ACD ,

\sf{s =  \frac{8.6 + 4.3 + 7.58}{2} }

\sf{ =   \frac{20.48}{2} }

\sf{ = 10.24}

∆ ACD = \sf{ =  \sqrt{10.24(10.24 - 8.6)(10.24 - 4.3)(10.24 - 7.58} }

\sf{ \sqrt{10.24 \times 1.64 \times 5.94 \times 2.66} }

\sf{ =  \sqrt{265.3456} }

\sf{ = 16.2894}

Area of quadrilateral ABCD = \sf{12.2429 + 16.2894}

\sf{ = 28.5323}

\sf{ = 28.53} units ²

Hope I helped!

Best regards!

8 0
3 years ago
Write the equation of the line that passes through (-1, 11) and (3, -5)
Genrish500 [490]

Answer:

y= -4x+7

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.

Let's find the gradient of the line first.

gradient =  \frac{y1 - y2}{x1 - x2}

Using the above formula,

m =  \frac{11 - ( - 5)}{ - 1 - 3}  \\ m =  \frac{11 + 5}{ - 4}  \\ m =  \frac{16}{ - 4}  \\ m =  - 4

Susbt. m= -4 into the equation:

y= -4x +c

Subst. a coordinate to find c.

When x=3, y= -5,

-5= -4(3) +c

-5= -12 +c

c= 12 -5

c=7

Thus the equation of the line is y= -4x +7.

8 0
3 years ago
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