All categories

1 year ago

What is the value of angle X and angle Y in the triangle diagram below?

Mathematics

1 answer:

andre [41]1 year ago

3 0

Sum of two interior angles=exterior angle

$\\ \rm\Rrightarrow 45+65=y$

$\\ \rm\Rrightarrow y=110$

Linear pairs have sum 180

$\\ \rm\Rrightarrow x+y=180$

$\\ \rm\Rrightarrow x+110=180$

$\\ \rm\Rrightarrow x=70$

You might be interested in

What the answer plz help

ratelena [41]

20 = 40e^-0.1446t
e^-0.1446t = 0.5

t = ln 0.5 / -0.1446
t = 4.8 days

4 0

3 years ago

The makers of a soft drink want to identify the average age of its consumers. A sample of 25 consumers was taken. The average ag

Lelu [443]

Answer:

a.1.90 years

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the margin of error M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this question:

$n = 25, \sigma = 3.8$

$M = 2.575*\frac{3.8}{\sqrt{25}} = 1.90$

So the correct answer is:

a.1.90 years

8 0

2 years ago

How do you find 6x=-5y

eduard

6x=-5y
-5y=6x
so the answer is y=-6/5x

5 0

3 years ago

Mac's hotel had 128 rooms, and 25% of the room in the hotel had an ocean view

kari74 [83]

I hope this helps you

4 0

2 years ago

Please help ASAP<br> Please help ASAP<br> Please help ASAP<br> Please help ASAP

dedylja [7]

Substituting L = 7.29,

$t = 2.01 \sqrt{7.29} \approx \boxed {5.4}$

5 0

1 year ago