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3 years ago

The measure of an angle is 89 times the measure of its supplementary angle. What is the measure of each angle

Mathematics

1 answer:

Olegator [25]3 years ago

7 0

Answer:

2 and 178

Step-by-step explanation:

If we take an instance of a number 'x', according to the question we find that x+x*89=180(Because they are complementary)

We get, = 89x+x=180

=> 90x=180

=> x=180/90

=> x =2

So, we found that x=2 , hence the other angle is going to be 2*89=178

This is correct as 2+178=180(as they are supplementary to each other)

Hope this answer helps, Please mark me as brainliest, Thank you!

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Can i get some help on this question pls

krok68 [10]

Answer:

x = 18

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

If 2X +1= 27,032 is true then 2x+3= ?

maxonik [38]

2x+1=27032
2x=27031
x=13515.5

2x+3
=2(13515.5)+3
=27034

6 0

3 years ago

What is the z-score of a newborn who weighs 4,000 g?.

vagabundo [1.1K]

The z-score of the considered newborn having 4,000 g weight is $\dfrac{4000 - \mu}{\sigma}$

<h3>How to get the z scores?</h3>

If we've got a normal distribution, then we can convert it to standard normal distribution and its values will give us the z score.

If we have

$X \sim N(\mu, \sigma)$

(X is following normal distribution with mean $\mu$ and standard deviation $\sigma$ )

then it can be converted to standard normal distribution as

$Z = \dfrac{X - \mu}{\sigma}, \\\\Z \sim N(0,1)$

(Know the fact that in continuous distribution, probability of a single point is 0, so we can write

$P(Z \leq z) = P(Z < z) )$

Also, know that if we look for Z = z in z tables, the p value we get is

$P(Z \leq z) = \rm p \: value$

For the considered case, the statement in the problem is missing the mean weight of the newborn and standard deviation of the data set of weights of newborn.

Thus, for them, we can consider variables in place of their actual values.

Let we have:

X = weights of newborns for some considered system (in grams)
$\mu$ = mean weight of newborns (in grams)
$\sigma$ = standard deviation of the data set of weights of newborns

Then, the z-score for X = 4000 is

$z = \dfrac{x - \mu}{\sigma} = \dfrac{4000 - \mu}{\sigma}$

Thus, the z-score of the considered newborn having 4,000 g weight is $\dfrac{4000 - \mu}{\sigma}$

Learn more about z-scores here:

brainly.com/question/13299273

3 0

2 years ago

What is 4/9 - (-2/9)

Citrus2011 [14]

Hello!

$\frac{4}{9}-\frac{2}{9}$

First you had to used apply rule -(-b)=b

$\frac{4}{9}+\frac{2}{9}$

Since the denominators are equal to it should be combine by the fractions.

$\frac{4+2}{9}$

Then add 4+2=6

$\frac{6}{9}$

$\frac{4}{9}-\frac{-2}{9}$

Finally you had to cancel by the common factor of 3.

$=Answer--->\frac{2}{3}$

Hope this helps! And thank you for posting at here on Brainly. And have a great day! -Charlie :)

4 0

4 years ago

On a coordinate plane, the segment with endpoints (10, 40) and (70, 120) is

OlgaM077 [116]

Answer:

The length of the resulting segment is 500.

Step-by-step explanation:

Vectorially speaking, the dilation is defined by following operation:

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$ (1)

Where:

$O(x,y)$ - Center of dilation.

$P(x,y)$ - Original point.

$k$ - Scale factor.

$P'(x,y)$ - Dilated point.

First, we proceed to determine the coordinates of the dilated segment:

( $P(x,y) = (10, 40)$ , $Q(x,y) = (70, 120)$ , $O(x,y) = (0,0)$ , $k = 5$ )

$P'(x,y) = O(x,y) + k\cdot [P(x,y)-O(x,y)]$

$P(x,y) = (0,0) +5\cdot [(10,40)-(0,0)]$

$P'(x,y) = (50,200)$

$Q'(x,y) = O(x,y) + k\cdot [Q(x,y)-O(x,y)]$

$Q' (x,y) = (0,0) +5\cdot [(70,120)-(0,0)]$

$Q'(x,y) = (350, 600)$

Then, the length of the resulting segment is determined by following Pythagorean identity:

$l_{P'Q'} = \sqrt{(350-50)^{2}+(600-200)^{2}}$

$l_{P'Q'} = 500$

The length of the resulting segment is 500.

3 0

3 years ago