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Mekhanik [1.2K]
4 years ago
11

Daniel claims that any two right triangles can be proven to be similar by the sas similarity theorem because both have right ang

les that are congruent. what is his mistake?
Mathematics
2 answers:
Hunter-Best [27]4 years ago
7 0
SAS similarity theorem: When two triangles have corresponding angles that are congruent and corresponding sides with identical ratios, the triangles are similar.
Two right angles are always congruent, but corresponding sides not always have identical ratios. For example, first right triangle has two legs of 3 and 4 lengths. Second triangle has two legs of 5 and 12 lengths. Then \frac{3}{5}  \neq  \frac{4}{12}. That is the mistake.

andrezito [222]4 years ago
5 0
<span>Daniel has not satisfied all the conditions of the theorem. The corresponding sides of each of the right triangles must also be in proportion for the triangles to be similar.</span>
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Answer:

24 degrees

Step-by-step explanation:

carry the one and you are done

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3 years ago
Kevin has a rectangular
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Answer:

20 feet long

Step-by-step explanation:

To solve this you need to use the Pythagorean theorum, a^2+b^2=c^2, where c is the length of rope needed and A and B are the side lengths. Think of it like a right triangle.

So, the equation is

12^2+16^2=c^2

Which is then

144+256=c^2

c^2=400

And the possible values of c are 20 and -20.

From here we know the answer cannot be -20 because you cannot have a negatively long length of rope, so the answer must be 20 feet.

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3 years ago
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The length of a rectangular jewelry box is 3 in. more than twice the width. the perimeter is 36 in. find the length and the widt
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Width: x
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4 0
4 years ago
Is domain of f(x,y) = 1 + (4 -y^2)^1/2 open, closed or neither<br><br> is it bounded or unbounded?
omeli [17]

Answer:

Closed and Bounded.

Step-by-step explanation:

Hi there!

1) Let's start by finding the values in which the function is defined. Remember that this can be rewritten:

f(x,y) = 1 + (4 -y^2)^{\frac{1}{2}} \:id\:est\:f(x,y)=1+\sqrt{(4 -y^2)}

Since every quadratic root are defined for values \geq 0  then, this help us to understand that we need calculate what interval this Domain is:

4-y^{2} \geq 0\\4-y^{2}-4\geq -4\\-y^{2}\geq-4 \\y^{2}\leq4\\-2\leq y\leq 2

D=[-2,2]

2) Graphically speaking, the domain is closed. For the values -2 and 2 are included, and bounded.

Bounded functions have all of their points contained by some circle origin centered. Check it out below.

6 0
4 years ago
If x = 9 units and h = 4 units, then what is the area of the triangle shown above?
Aleks04 [339]

Answer:

18

Step-by-step explanation:

The area of triangle is b*h/2

so it will be 36/2 which will be 18

Please mark as Brainliest

7 0
3 years ago
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