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Anit [1.1K]
2 years ago
7

∠ABD is formed by a tangent and a secant intersecting outside of a circle. If minor arc AC = 78° and minor arc CD = 124°, what i

s the measure of ∠ABD? A) 23° B) 39° C) 40° Eliminate D) 46°+-

Mathematics
2 answers:
lana [24]2 years ago
4 0
Minor arc AD is 360° -124° -78° = 158°. Then angle ABD is
  (158° -78°)/2 = 40°

The appropriate selection is
  C) 40°

salantis [7]2 years ago
4 0

Answer:

40°

Step-by-step explanation:

First, find minor arc AD.

minor arc AD = 360 - 78 - 124 = 158

then,

∠ABD =

1

2

(minor arc AD - minor arc AC)

∠ABD =

1

2

(158 - 78)

∠ABD =

1

2

80

∠ABD = 40°

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–3y9 number of terms
qwelly [4]

Answer and Step-by-step explanation:

-3y^{9}

This value above is ONE term. Even though it is made up of more values and stuff, it is all one term BECAUSE they are all connect, so the -3 is with the y by multiplication, and the 9 is with -3y as an exponent of y.

<em><u>#teamtrees #PAW (Plant And Water)</u></em>

5 0
3 years ago
The manufacturer of an airport baggage scanning machine claims it can handle an average of 530 bags per hour. (a-1) At α = .05 i
fenix001 [56]

Answer:

Null hypothesis:\mu \geq 250        

Alternative hypothesis:\mu < 250  

p_v =P(t_{15}    

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not significantly lower than 530 at 5% of significance.      

Step-by-step explanation:

1) Data given and notation        

\bar X=510 represent the mean for the sample    

s=50 represent the standard deviation for the sample  

n=16 sample size        

\mu_o =530 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.      

t would represent the statistic (variable of interest)        

p_v represent the p value for the test (variable of interest)    

2) State the null and alternative hypotheses.        

We need to conduct a hypothesis in order to determine if the claim thet the handle on average is 530 bags per hour:      

Null hypothesis:\mu \geq 530        

Alternative hypothesis:\mu < 530        

We don't know the population deviation and the sample size is lees than 30, so for this case is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:        

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

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".    

3) Calculate the statistic        

We can replace in formula (1) the info given like this:        

t=\frac{510-530}{\frac{50}{\sqrt{16}}}=-1.60        

4) Calculate the critical value

We need to begin calculating the degrees of freedom

df=n-1=16-1=15

The critical value for this case would be :

P(t_{15}

The value of a that satisfy this on the normal standard distribution is a=-1.75 and would be the critical value on this case zc=-1.75

5) Calculate the P-value        

Since is a one-side upper test the p value would be:        

p_v =P(t_{15}    

6) Conclusion        

If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we FAIL to reject the null hypothesis, and the the actual mean is not significantly lower than 530 at 5% of significance.      

8 0
2 years ago
What number is 40% of 720
Zarrin [17]
You would have to set you problem up like
   x         40
____=_____
 720     100

you would multiply 40 by 720 then you would divide 28,800 by 100 your answer will be 288.
3 0
2 years ago
2. Write the inequality and show all work to solve the
seraphim [82]
Yes you are doing it correctly.
$12.00 + $3.00x <= $24.00
$12.00 + $3.00x - $12.00 <= $24.00 - $12.00
$3.00x <= $12.00
$3.00x/$3.00 <= $12.00/$3.00
x <= 4

The number line representation will be an arrow with a shaded round head pointing to the left from tne number 4.
6 0
2 years ago
Solve for x:<br> please help me
solniwko [45]

Answer:

x = 10

Step-by-step explanation:

We know that is a right angle which is 90 degrees.

we know one angle is 30 degrees.

So take 90- 30 = 60

now we solve for 6x

6*10 = 60 and 60+30=90

x = 10

3 0
2 years ago
Read 2 more answers
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