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Marat540 [252]
2 years ago
5

State what additional information is required in order to know that the triangles are congruent for the reason given. If possibl

e, write the triangle congruence statement.
refer to attachment
I WILL GIVE BRAINLIEST!! PLS HELP

Mathematics
1 answer:
Inessa05 [86]2 years ago
5 0

Answer:

  • TX ≅ WX

Step-by-step explanation:

Required condition for SAS is two sides and the included angle must be congruent.

<u>We have:</u>

  • RX ≅ YX

<u>We observe:</u>

  • ∠RXT ≅ ∠YXW

<u>We need:</u>

  • TX ≅ WX

This will complete the information required for  SAS congruence statement.

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Find the side length of X
7nadin3 [17]

Answer:

7√3

Step-by-step explanation:

We can use pythagoreans theorem to solve this

Since, we know one side, and the hypotenuse, we can solve for the other side.  

Pythagoreans theorem: a²+b²=c²

Where a and b are two sides, and c is the hypotenuse (the side opposite of the right angle)

In this triangle, 7 is the side, and 14 is the hypotenuse.

I will plug in the values into pythagoreans theorem, and then simplify:

a^{2}+b^{2} =c^{2} \\\\7^{2} +x^{2} =14^{2} \\\\49+x^{2} =196\\\\x^{2} =147\\\\x=\sqrt{147} \\\\x=\sqrt{49*3 }\\\\ x=\sqrt{7^{2} *3 }\\\\x=7\sqrt{3}

So x = 7√3

6 0
3 years ago
Can you please help me find the area? Thank you. :)))
Phoenix [80]

The figure shown in the picture is a rectangular shape that is missing a triangular piece. To determine the area of the figure you have to determine the area of the rectangle and the area of the triangular piece, then you have to subtract the area of the triangle from the area of the rectangle.

The rectangular shape has a width of 12 inches and a length of 20 inches. The area of the rectangle is equal to the multiplication of the width (w) and the length (l), following the formula:

A=w\cdot l

For our rectangle w=12 in and l=20 in, the area is:

\begin{gathered} A_{\text{rectangle}}=12\cdot20 \\ A_{\text{rectangle}}=240in^2 \end{gathered}

The triangular piece has a height of 6in and its base has a length unknown. Before calculating the area of the triangle, you have to determine the length of the base, which I marked with an "x" in the sketch above.

The length of the rectangle is 20 inches, the triangular piece divides this length into three segments, two of which measure 8 inches and the third one is of unknown length.

You can determine the value of x as follows:

\begin{gathered} 20=8+8+x \\ 20=16+x \\ 20-16=x \\ 4=x \end{gathered}

x=4 in → this means that the base of the triangle is 4in long.

The area of the triangle is equal to half the product of the base by the height, following the formula:

A=\frac{b\cdot h}{2}

For our triangle, the base is b=4in and the height is h=6in, then the area is:

\begin{gathered} A_{\text{triangle}}=\frac{4\cdot6}{2} \\ A_{\text{triangle}}=\frac{24}{2} \\ A_{\text{triangle}}=12in^2 \end{gathered}

Finally, to determine the area of the shape you have to subtract the area of the triangle from the area of the rectangle:

\begin{gathered} A_{\text{total}}=A_{\text{rectangle}}-A_{\text{triangle}} \\ A_{\text{total}}=240-12 \\ A_{\text{total}}=228in^2 \end{gathered}

The area of the figure is 228in²

8 0
1 year ago
A certain recipe requires 415 cups of flour and 237 cups of sugar. a) If 49 of the recipe is to be made, how much sugar is neede
Bas_tet [7]
49*237

11613

That's a lot of sugar, diabetes here we come :)


7 0
3 years ago
How can you tell by looking at the coordinates of the two triangles that Δ A'B'C' is a 180° rotation of Δ ABC? A) The coordinate
MariettaO [177]

under a rotation about the origin of 180°

a point (x, y ) → (- x, - y )

hence D is correct, both the x and y coordinates of the points on ΔA'B'C' have opposite signs from the corresponding points on ΔABC


7 0
2 years ago
Read 2 more answers
What is the value of 3 in 305
goldfiish [28.3K]

Answer:

Hundred

Step-by-step explanation:

We are asked to find the value of 3 in 305

3- hundred

0- tens

5- units

Hence the value of 3 in 305 is hundred

7 0
3 years ago
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