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sashaice [31]
3 years ago
5

In a right triangle, the sides that form the right angle are the legs; the longest side (opposite the right angle) is the hypote

nuse. Some textbooks say that when two right triangles have congruent pairs of legs, the right triangles are congruent by the reason LL. In our work, LL is just a special case of one of the postulates in this section. Which postulate is that
Mathematics
1 answer:
Igoryamba3 years ago
8 0

Answer:

SAS postulate

Step-by-step explanation:

Given

LL postulate

Required

What type of postulate is LL

LL means 2 legs are equal.

When 2 legs of the right triangle are equal, then it means that two sides of the right triangle

In the actual sense, this postulate is SAS postulate where 2 sides are also equal.

<em>Hence, the LL postulate is a special case of SAS</em>

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Tony is 21 years older than his sister Danielle. In 13 years he will be twice as old as Danielle. How old is each of them now?
Bess [88]

x-y=21 ⇒ x=y+21

x+13=2y

Substitute y+21 for x into the equation x+13=2y

So y+21+13=2y

Simplify 34=y

So Danielle is 34 years old. Plug y back in to the original equation

x-34=21

x=55

Tony is 55 years old


3 0
4 years ago
Find the altitude of the triangle.<br> 30 degrees<br> Hypotenuse of 14
Oxana [17]

Answer:

Approx. 12.124 units tall

Step-by-step explanation:

Since you need to find the height (which is adjacent to the given angle), you need to use cosine (adj. over hypotenuse).

cos(30) = x/14

Multiply both sides by 14:

14cos(30) = x

Hope this helps :)

7 0
3 years ago
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What is it called when the slope of a line is the same the entire length of the line ?
TEA [102]

Answer:

Slope

Step-by-step explanation:

The point of slope is that it is the same the entire length of the line.

4 0
4 years ago
What is the value of <img src="https://tex.z-dn.net/?f=%5Cfrac%7Bx2%7D%7By1%7D" id="TexFormula1" title="\frac{x2}{y1}" alt="\fra
matrenka [14]

Answer:

80

Step-by-step explanation:

Insert the values or x and y into the expression.

\frac{20^{2} }{5} = \frac{400}{5} = 80

7 0
3 years ago
Which of the following is equivalent to X2 - 8x - 7 = 0?
I am Lyosha [343]

Answer:

Part 1)   (the missing steps in the explanation)

Part 3) (8, 4); The vertex represents the maximum profit

Part 4) x = 3.58, 0.42

Part 5) x = 6, x = 44; The zeros represent the number of monthly memberships where no profit is made

Part 6) 2(x − 7)2 + 118; x = $7

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Part 9) 2(x − 1)^2 = 4

Part 10) 8(x − 4)^2 + 592

Step-by-step explanation:

3 0
4 years ago
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