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Mariulka [41]
3 years ago
6

Find the perimeter of the given triangle

Mathematics
1 answer:
trasher [3.6K]3 years ago
8 0

Here it is given that the triangles ABP and DCR are similars, therefore we use the ratio rule which states that

corresponding sides of similar triangles are in same proprtion .

\frac{AB}{DC} = \frac{BP}{CR}

that gives

7/10 = BP/11

7*11=10BP

BP=7.7

Again using the ratio rule

\frac{AB}{DC} = \frac{AP}{DR}

7/10 = AP/6

42 = 10AP

AP = 4.2

Perimeter= AB+BP+AP = 7+7.7+4.2 = 18.9

Correct option is A.

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Find the length of side x in the simplest radical form with a rational denominator.
krok68 [10]

Answer:

\sqrt{2}

Step-by-step explanation:

We can use either angle, but I'm going to use the one on the bottom. So, in order to find x, we need to use tangent. One side we know is the adjacent, and the side we don't know is the opposite, therefore we need tangent. Here's the equation:

tan(45)=\frac{x}{\sqrt{2}}

Obviously, we can't have a root in our denominator, so we need to get rid of it somehow. Here's how:

We multiply the denominator of the fraction by \sqrt{2}. \sqrt{2} multiplied by itself is simply 2. Try it! We also want to multiply the numerator by \sqrt{2}, but there isn't really a number we can use with that, so we'll just add it to the side. The equation you have now is:

tan(45)=\frac{x\sqrt{2} }{2}

Let's try to work this out now. Since the denominator is 2, we have to multiply both sides by it to find x.

\frac{x\sqrt{2} }{2*2} =x\sqrt{2}

tan(45)*2=2

We can plug 2 in for the x in the numerator now:

\frac{2\sqrt{2} }{2}

2 and 2 cancel out, so you get 1 in both the numerator and denominator. That's how we get our answer of x=\sqrt{2}

Also, because this is a 45-45-90 triangle, you don't really have to do all that work. If it's a 45-45-90 triangle, both legs should be the same length. :)

7 0
3 years ago
Please please help fast , thank you !
Tresset [83]

Answer:

2>x

y>-1

Step-by-step explanation:

assume y=0 when finding x and vice versa

4 0
3 years ago
Which expression is equivalent to the following 1/a^5?
Fofino [41]

Answer:

if this is a fraction, then negative 5 over a⁶

7 0
2 years ago
What is the equivalent fraction for 35/42
Lubov Fominskaja [6]

Answer:

An equivalent fraction is 5/6

Step-by-step explanation:

In order to find this, divide both parts of the fraction by 7.

35/7 = 5

42/7 = 6

Now we can put this back together as a fraction.

5/6

7 0
3 years ago
Read 2 more answers
Help please paper due tomorrow ​
Stells [14]

Answer:

g

Step-by-step explanation:


7 0
3 years ago
Read 2 more answers
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