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sladkih [1.3K]
4 years ago
15

Which statement is true? A 10° angle is congruent to a 10° angle. Congruent angles always add up to 90°. A congruent angle is al

ways 90°. none of the above
Mathematics
1 answer:
Ainat [17]4 years ago
7 0
The first statement is correct. Congruent angles have the same angles.
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Answer:

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3 years ago
a rectangle is 8cm longer then it is wide, and it’s area is 153cm^2. Find the dimensions of the rectangle.
Stolb23 [73]

Answer:

Width of 9cm and length of 17cm.

Step-by-step explanation:

To calculate an area of a rectangle, use the formula A=l*w. We know the length is 8cm longer than the width. So l = 8 + w. So the area is A= (8+w)*w.

We also know the area is 153. Substitute this value for A and solve.

153 = (8+w)(w)\\153 = 8w+w^2\\w^2+8w-153 = 0

To solve the quadratic, use the quadratic formula:

\frac{-b+/-\sqrt{b^2-4ac} }{2a}

Here a=1, b=8 and c=-153.

w=\frac{-b+/-\sqrt{b^2-4ac} }{2a} \\w=\frac{-8+/-\sqrt{8^2-4(1)(-153)} }{2(1)} \\w=\frac{-8+/-\sqrt{64+612} }{2} \\w=\frac{-8+/-\sqrt{676} }{2} \\w=\frac{-8+/-26 }{2} \\w=\frac{-8+26 }{2}=\frac{18}{2}=9 \\and\\w=\frac{-8-26 }{2} =\frac{-34}{2}=-17

Since w=9 or w=-17, substitute this value for w in l= 8+w to find l.

l = 8+9 = 17

or

l=8+-17 = -9

Since length cannot be positive, it must be l=17 and w=9.

8 0
3 years ago
Anyone know the answer?
Vladimir79 [104]
Hi there your answer would be d
8 0
4 years ago
Read 2 more answers
Using the triangle below, find the ratio please need help answering for a quiz
Murrr4er [49]
<h3>sin22° = 5/4</h3><h3>tan22° = 3/√55</h3>

As we know that , sinA = opposite/hypotenuse & tanA = opposite/adjacent

So here we can find sin22° , because they already given the sides opposite & hypotenuse . And we can't find tann22° because they given the value of opposite but not given the value of adjacent side of the angle 22°

Now finding the adjacent side using

Pythagoras theorem :-

• Hypotenuse² = Base² + Height²

=> 40² = Base² + 15²

=> 1600 - 225 = Base²

=> Base² = 1375

=> Base = √1375

=> Base = 5√55

Now ,

  • tan22° = Opposite/Adjacent = 15/5√55 = 3/√55
  • sin22° = Opposite/hypotenuse = 15/40 = 5/4

8 0
3 years ago
London Bridge has a span of 1000 ft.
Ierofanga [76]

Step-by-step explanation:

enjoy brooooooooooooo

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3 years ago
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