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Pachacha [2.7K]
3 years ago
5

What is the measure of XYZ​

Mathematics
2 answers:
lorasvet [3.4K]3 years ago
6 0

Answer:

B

Step-by-step explanation:

The arc XZ is twice the measure of the inscribed angle XYZ , that is

arc XZ = 2 × 60° = 120°

The complete circumference = 360° , thus

arc XYZ = 360° - arc XZ = 360° - 120° = 240° → B

nekit [7.7K]3 years ago
3 0

Answer:

B. 240°

Step-by-step explanation:

By inscribed angle theorem:

m\widehat({ZX) } = 2\times \angle XYZ\\m\widehat{(ZX) } = 2\times 60\degree \\\purple {\bold {m\widehat{(ZX) } = 120\degree}} \\\because m\widehat{(XYZ)} = 360\degree - m\widehat{(ZX)} \\\therefore m\widehat{(XYZ)} = 360\degree - 120\degree \\\huge \orange {\boxed {\therefore m\widehat{(XYZ)} = 240\degree}} \\

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ali drove 268 miles using12 gallons of gas at this rate how many miles would he drive using 9 gallons of gas
Semenov [28]

Divide total miles driven by the total amount of gas used to find the number of miles per gallon.

Then multiply that by the number of gallons you want to find out:


268 miles / 12 gallons = 22.333 miles per gallon.

22.333 miles per gallon x 9 gallons = 201 total miles.

7 0
3 years ago
Eric is a real estate agent. He makes a 5% commission on each house he sells. Last month, Eric sold three houses. The sale price
hjlf

Answer:

<u>Eric earned last month US$ 9,786.25</u>

Step-by-step explanation:

Commission of Eric on each house sold = 5% = 0.05

House 1 $55,000

55,000 * 0.05 = $ 2,750

House 2 $105,525

105,525 * 0.05 =  $ 5,276.25

House 3 $35,200

35,200 * 0.05 = $ 1,760

Eric earned last month =  $ 2,750 +  $ 5,276.25 + $ 1,760

<u>Eric earned last month US$ 9,786.25</u>

4 0
3 years ago
25 points
VMariaS [17]

Answer:

5 and 7

Step-by-step explanation:

because the problem said least two girls meaning substract

6 0
2 years ago
Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest speed measured was 75.6 Mbp
olga55 [171]

Answer:

a) 59.98

b) 2.99

c) 2.99

d) Significantly High

Step-by-step explanation:

Part a)

Highest speed measured = x = 75.6 Mbps

Average/Mean speed = \overline{x} = 15.62 Mbps

Standard Deviation = s = 20.03 Mbps

We need to find the difference between carrier's highest data speed and the mean of all 50 data​ speeds i.e. x - \overline{x}

x - \overline{x} = 75.6 - 15.62 = 59.98 Mbps

Thus, the difference between​ carrier's highest data speed and the mean of all 50 data​ speeds is 59.98 Mbps

Part b)

In order to find how many standard deviations away is the difference found in previous part, we divide the difference by the value of standard deviation i.e.

\frac{59.98}{20.03}=2.99

This means, the difference is 2.99 standard deviations or in other words we can say, the Carrier's highest data speed is 2.99 standard deviations above the mean data speed.

Part c)

A z score tells us that how many standard deviations away is a value from the mean. We calculated the same in the previous part. Performing the same calculation in one step:

The formula for the z score is:

z=\frac{x-\overline{x}}{s}

Using the given values, we get:

z=\frac{75.6-15.62}{20.03}=2.99

Thus, the Carriers highest data is equivalent to a z score of 2.99

Part d)

The range of z scores which are neither significantly low nor significantly​ high is -2 to + 2. The z scores outside this range will be significant.

Since, the z score for carrier's highest data speed is 2.99 which is well outside the given range, i.e. greater than 2, we can conclude that the  carrier's highest data speed​ is significantly higher.

3 0
3 years ago
Find the domain and range of the relation<br> (-8,2),(6,-7),(-8,11),(10,5)
VARVARA [1.3K]

Answer:

domain:2,-7,11,5

range:-8,6,-8,10

to explain more the domain would be your independent variable (y) and the range would be your dependent variable (x)

hope I helped

5 0
3 years ago
Read 2 more answers
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