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kobusy [5.1K]
3 years ago
6

Given the diagram, a supplement to

Mathematics
1 answer:
Likurg_2 [28]3 years ago
5 0

Given:

The figure of a quadrilateral ABCD.

To find:

The supplement of angle ABC.

Solution:

We know that, two angles are called supplementary angles if their sum is 180 degrees.

\angle ABC+\angle BAC=110^\circ+40^\circ

\angle ABC+\angle BAC=150^\circ\neq 180^\circ

So, \angle BAC is not a supplement of \angle ABC.

\angle ABC+\angle ADC=110^\circ+90^\circ

\angle ABC+\angle ADC=200^\circ

So, \angle ADC is not a supplement of \angle ABC.

\angle ABC+\angle DAB=110^\circ+(40+30)^\circ

\angle ABC+\angle DAB=110^\circ+70^\circ

\angle ABC+\angle DAB=180^\circ

So, \angle DAB is a supplement of \angle ABC.

In the same way \angle ABC+\angle BDC\neq 180^\circ.

So, \angle BDC is not a supplement of \angle ABC.

Therefore, the correct option is C.

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A set of 9 numbers has a mean of 20. What additional number must be included in this set to create a new set with a mean that is
PIT_PIT [208]

<em>Greetings from Brasil...</em>

The average for a set of 9 elements will be

(A + B + C + D + E + F + G + H + I) ÷ 9 = 20

Let's make (A + B + C + D + E + F + G + H + I) like S

<em>(I chose S to remember a sum)</em>

Let us think.....

S ÷ 9 = 20

S = 20 × 9

S = 180

So,  (A + B + C + D + E + F + G + H + I) = 180

According to the statement, we will include a number (element J) in the sum to obtain a mean of (20 - 4), that is:

<h3>(A + B + C + D + E + F + G + H + I + J) ÷ 10 = (20 - 4)</h3>

as seen above, (A + B + C + D + E + F + G + H + I) = 180, then

(180 + J) ÷ 10 = 16

(180 + J) = 160

J = 160 - 180

<h2>J = - 20</h2><h2 />

So, including the number - 20 <em>(minus 20)</em> in the original mean we will obtain a new mean whose result will be 16

3 0
3 years ago
PLEASE HELP RIGHT AWAY
Ad libitum [116K]

Answer:

I'm pretty sure It's 2172.20 (I may be wrong It's been a while since I did this)

Step-by-step explanation:

7 0
3 years ago
An automobile manufacturer has given its car a 46.7 miles/gallon (MPG) rating. An independent testing firm has been contracted t
erastova [34]

Answer:

z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23    

The p value would be given by:

p_v =2*P(z  

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

Step-by-step explanation:

Information given

\bar X=46.5 represent the mean

\sigma=1.1 represent the population standard deviation

n=150 sample size  

\mu_o =46.7 represent the value to verify

\alpha=0.05 represent the significance level for the hypothesis test.  

z would represent the statistic

p_v represent the p value

Hypothesis to test

We want to test if the true mean for this case is 46.7, the system of hypothesis would be:  

Null hypothesis:\mu = 46.7  

Alternative hypothesis:\mu \neq 46.7  

Since we know the population deviation the statistic is given by:

z=\frac{\bar X-\mu_o}{\frac{\sigma}{\sqrt{n}}}  (1)  

Replacing we got:

z=\frac{46.5-46.7}{\frac{1.1}{\sqrt{150}}}=-2.23    

The p value would be given by:

p_v =2*P(z  

For this case since th p value is lower than the significance level of0.05 we have enough evidence to reject the null hypothesis and we can conclude that the true mean for this case is significantly different from 46.7 MPG

7 0
3 years ago
Can someone help me find the answer?
raketka [301]

Answer:

AC=9 cm

ABC is not a right angled triangle

Step-by-step explanation:

AB=8cm

BC=5cm

22=AB+BC+AC

AC=22-8-5

AC=9

since AC is the longest,

using Pythagoras theorem

AC^2=BC^2+AB^2

9^2=8^2+5^2

81=64+25

81=89

therefore, it is not a right angled triangle

8 0
3 years ago
Read 2 more answers
WHAT IS 1+1 <br><br><br> If u get it right tell me;) good luck
ella [17]

Answer:

4

Step-by-step explanation:

;)

4 0
3 years ago
Read 2 more answers
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