D.
Step-by-step explanation:
In this case, you can apply the SSS theorem where all three corresponding sides are equal in length.
In the given triangles, side SX≅UX
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Congruent triangles : brainly.com/question/12824576
Keywords: perpendicular, bisector, congruent
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Answer:
4, -26/3
Step-by-step explanation:
The length of the diagonal of the container is the square root of length squared plus width squared plus height squared. This is then
, solving, we get x = 4, or x = -26/3
Answer:
The Area of Shaded region is 98 square inch
Step-by-step explanation:
In this given figure
length = 8 in = 3 + x
breadth = 4 + y
In a Rectangle
a shape with four straight sides and four angles of 90 degrees (right angles). Two of the sides are longer than the other two
Now, let the smaller side be x and bigger side be y
Here, we get the equation
x + 3 = 8
x + 3 - 3 = 8 - 3
x = 5
Here, we get the value of x is 5
Now, By Pythagoras Theorem
x² + y² = 13²
(5)² + y² = 169 (x = 5)
25 + y² = 169
y² + 25 - 25 = 169 - 25
y² = 144
√y² = √144
y = 12
So, breadth = 4 + 12 = 16 inch
Now, For the area of rectangle
A = l × b
A = 8 × 16 in
A = 128 square inch
In a given triangle,
b = y = 12 in
h = x = 5 in
Now, For the area of Triangle
<em>A = ½ × b × </em><em>h</em>
A = ½ × 12 × 5 in
A = 6 × 5 in
A = 30 Square inch
So, For the shaded area,
= Area of Rectangle - Area of triangle
= 128 - 30
= 98 square inch
Thus, The Area of Shaded region is 98 square inch
<u>-</u><u>TheUnknownScientist</u>
Answer:
Cost of the binder = $5
Cost of the highlighter = $2.5
Cost of the folder = $2
Step-by-step explanation:
Let
Cost of the binder = x
Cost of the highlighter = 1/2x
Cost of the folder = x - 3
Total cost = $9.50
Total cost = Cost of the binder + Cost of the highlighter + Cost of the folder
9.50 = (x) + (1/2x) + (x-3)
9.50 = x + 1/2x + x - 3
9.50 + 3 = x + 1/2x + x
12.50 = 2x + 1/2x
12.50 = 2 1/2x
12.50 = 5/2x
x = 12.50 ÷ 5/2
= 12.50 × 2/5
= 25/5
x = $5
Cost of the binder = x = $5
Cost of the highlighter = 1/2x = 1/2*6 = $2.5
Cost of the folder = x - 3
= 5 - 3 = $2