All categories

3 years ago

Finding the angle measure

Mathematics

1 answer:

Mariana [72]3 years ago

7 0

We could look at the midsegment TR as not part of the triangle and solve for the angles that way.

All the angles in a triangle= 180 degrees

We know that it is an isosceles triangle from the congruence marks, so two angles will have the same measure.

57+57+x= 180

114+x=180

x=66 The missing angle, or <SRU= 66

Since TR splits the triangle in half, and we know that the angles are congruent by the congruence marks, divide 66 by 2.

66/2= 33

m<TRU= 33 degrees

I hope this helps!
~kaikers

You might be interested in

The probability that Barry Bonds hits a home run on any given at-bat is 0.16, and each at-bat is independent.

serious [3.7K]

Answer:

a) 0.0797 = 7.97% probability that the next home run will be on his fifth at-bat.

b) The expected number of at-bats until the next home run is 6.25.

Step-by-step explanation:

For each at bat, there are two possible outcomes. Either it is a home run, or it is not. The probability of an at bat resulting in a home run is independent of any other at-bat, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

The probability that Barry Bonds hits a home run on any given at-bat is 0.16

This means that $p = 0.16$

Part A: What is the probability that the next home run will be on his fifth at-bat?

0 on his next 4(P(X = 0) when n = 4)

Home run on his 5th at-bat, with 0.16 probability. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 0) = C_{4,0}.(0.16)^{0}.(0.84)^{4} = 0.49787136
$

0.49787136 *0.16 = 0.0797.

0.0797 = 7.97% probability that the next home run will be on his fifth at-bat.

Part B: What is the expected number of at-bats until the next home run?

The expected number of trials for n successes is given by:

$E = \frac{n}{p}$

In this question, $n = 1, p = 0.16$ . So

$E = \frac{1}{0.16} = 6.25$

The expected number of at-bats until the next home run is 6.25.

6 0

3 years ago

If r1 , r2 , and r3 represent rotations from Dn and f 1 , f 2 , and f 3 represent reflections from Dn , determine whether r1 r2

ziro4ka [17]

Answer:

It is reflection

Step-by-step explanation:

We know these three rules:

-a rotation followed by a rotation is a rotation

-a reflection followed by a reflection is also a rotation

-a rotation folowed by a reflection is a reflection

So we have: f3r3 is f (reflection)

f2 f is r (reflection)

r3 r is r

f2 r is f

r2 f is f

r1 f is f

So, r1r2f1r3f2f3r3 is reflection.

7 0

3 years ago

How can you tell if 2 figures are similar

S_A_V [24]

When two figures are similar the ratios of the lenghts of their corresponding sides are equal

8 0

4 years ago

Does the following represent a function? Explain why or why not y = -2x + 1

julsineya [31]

Yes because it passes the vertical line test.

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=Let%20%5C%3A%20%5C%3A%20f%28x%29%3D%20%5B%20%5Cdfrac%7B%20%5Csin%28x%29%20%7D%7Bx%7D%20%5D%20%

Nutka1998 [239]

Remark
When you take the limit of $\lim_{ 0} \frac{sin(x)}{x}$ the odd result you get is 1. Later on you will be able to use calculus to show this. For now just take limits of sin(x)/x and make sure you are feeding radians into your calculator.

Now the only question is what is this thing doing?
If a is a constant in $\lim_{0 \frac{sin(ax)}{x}$ then the result = a.

So that's basically all you need to know to solve your problem.

Series
Each term in the series will be
a*(sin(ax)/x) = a * [sin(ax)/x] * 1 = a * a = a^2

The series will look like this.
1 + 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 + 100 There is a way of summing this using n notation, but you could just as easily just add the results.

The formula for this series (if you want a sum) is n*(n+1)*(2n+1) / 6
n = 10
Sum = 10*(11)(21)/6
Sum = 385

Does adding it by hand bring up 385?

4 0

3 years ago