1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Damm [24]
1 year ago
7

Can someone please find x?

Mathematics
2 answers:
Juli2301 [7.4K]1 year ago
5 0

Answer:

x = 78°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

110° is an exterior angle of the triangle on the right , then

x + 32°= 110° ( subtract 32° from both sides )

x = 78°

bonufazy [111]1 year ago
4 0

measure of sum interior angle = (n-2)180 where n is the no. of sides

=(3-2)180

=180°

The first triangle :

110+45+y = 180

155+y = 180

y = 180-155

y = 25°

The whole triangle :

45+57+x = 180

102+x = 180

x = 180-102

x = 78°

You might be interested in
Solve 2 | 2x + 10|+ 4 > 10
Valentin [98]

Answer:

x>−72 or x<−132

Step-by-step explanation:

I believe that is the answer

8 0
3 years ago
Help quick please<br><br><br><br><br> ________
Kruka [31]
Hey

Area of first rectangle = 18 x 21 = 378 in^2

Area of second rectangle = 17 x 9 = 153 in^2

Total area = 378+153 = 531 in^2

Option 1


Hope this helps :)
5 0
2 years ago
Read 2 more answers
Apr 17, 1:42:09 AM
SVEN [57.7K]

Answer:

(-1, 5)

Step-by-step explanation:

3 [x + y = 4]

  3x + 3y = 12

-  3x + 7y = 32

-4y = -20

y = 5

x + 5 = 4

x = -1

3 0
2 years ago
A genetic experiment involving peas yielded one sample of offspring consisting of 420 green peas and 174 yellow peas. Use a 0.01
slavikrds [6]

Answer:

a) z=\frac{0.293 -0.23}{\sqrt{\frac{0.23(1-0.23)}{594}}}=3.649  

b) For this case we need to find a critical value that accumulates \alpha/2 of the area on each tail, we know that \alpha=0.01, so then \alpha/2 =0.005, using the normal standard table or excel we see that:

z_{crit}= \pm 2.58

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis at 1% of significance.

Step-by-step explanation:

Data given and notation

n=420+174=594 represent the random sample taken

X=174 represent the number of yellow peas

\hat p=\frac{174}{594}=0.293 estimated proportion of yellow peas

p_o=0.23 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion of yellow peas is 0.23:  

Null hypothesis:p=0.23  

Alternative hypothesis:p \neq 0.23  

When we conduct a proportion test we need to use the z statisitc, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.293 -0.23}{\sqrt{\frac{0.23(1-0.23)}{594}}}=3.649  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.05. The next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(z>3.649)=0.00026  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis.

b) Critical value

For this case we need to find a critical value that accumulates \alpha/2 of the area on each tail, we know that \alpha=0.01, so then \alpha/2 =0.005, using the normal standard table or excel we see that:

z_{crit}= \pm 2.58

Since the calculated value is higher than the critical value we have enough evidence to reject the null hypothesis at 1% of significance.

5 0
3 years ago
2| x-3| - 5 = 7 Helpp
klasskru [66]

Answer:

x = {9, -3}

Step-by-step explanation:

  • 2| x-3| - 5 = 7
  • 2| x-3|  = 12
  • | x-3| = 6
  • x - 3 = ± 6
  • ⇒ x= 3+ 6= 9
  • ⇒ x= 3 - 6= -3

Or it can be shown as:

  • x= {9, -3}

8 0
3 years ago
Read 2 more answers
Other questions:
  • Planes X and Y and points J, K, L, M, and N are shown. Vertical plane X intersects horizontal plane Y. Point L is on the left ha
    10·1 answer
  • What is 13.62 divided by -3.14?
    14·1 answer
  • Rachel rounded 16,473 to the nearest hundred then she rounded it to the nearest thousand what is the final number
    10·2 answers
  • Cora is creating a rectangular prism. The base of her prism is shown below. She plans to have a height of 8
    10·1 answer
  • If f(x)=2x-5 and g(x)=x^2-4x-8, find (f+g)(x).
    5·2 answers
  • Solve each equation by factoring.<br> 1) 7x² + 63x = -126
    13·1 answer
  • Round 471.42857 to the nearest cent
    9·1 answer
  • Which expression would be equivalent to: Which expression would be equivalent to: \frac{1+b}{2} - 3(a-1)
    13·1 answer
  • Mr. Myers wants to join a music club. The 1st choice music club charges a $5 sign-up fee and $1 each song.The superstar music cl
    10·1 answer
  • Can someone help me with this question? I’ll mark you brainliest if you answer!!!
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!