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
Alja [10]
2 years ago
6

What is the measure of each angle?

Mathematics
1 answer:
Elza [17]2 years ago
3 0

Answer:

The measure of the angles are 46, 89, and 41 degrees.

Step-by-step explanation:

In order to find this, we need to add all 3 angles together and set equal to 180. Then we can find x.

x + 2x - 3 + x - 5 = 180

4x - 8 = 180

4x = 188

x = 46

Now we can find the value of each angle using the value of x.

Angle 1:

x = 46

Angle 2:

2x - 3

2(46) - 3

92 - 3

89

Angle 3:

x - 5

46 - 5

41

You might be interested in
The temperature changed from 7°F at 6 p.M to -5°F at midnight. What was the difference between the high and low temperatures? Wh
IgorC [24]

Answer:

12 °F

2°F per hour

Step-by-step explanation:

The difference can be found by substracting:

7°F-( -5 °F)

=12 °F

To find the average change in temperature per hour, divide by how many hours between 6 to midnight. Between 6 to midnight is 6 hours.

12°F / 6 hours

= 2°F/ hour

7 0
2 years ago
? A mug can hold 13.46 oz of coffee without overflowing. The radius of the mug is 3 cm. Given that 1 cm3 equals 0.034 oz, what i
Elan Coil [88]

Answer:

14 cm

Step-by-step explanation:

Given:

A mug can hold 13.46 oz of coffee.

The radius of the mug is 3 cm.

Given that 1 cm^{3} equals 0.034 oz.

Question asked:

What is the height of the mug to the nearest centimeter ?

Solution:

Given that 1 cm^{3} equals 0.034 oz.

By unitary method:

0.034 oz = 1 cm^{3}

1 oz = \frac{1}{0.034}

13.46 oz = \frac{1}{0.034}\times13.46 =395.88 \ cm^{3}

A mug can hold 13.46 oz of coffee means volume of cylinder is given which is 395.88 cm^{3}. Now we can find the height of the mug by using volume of cylinder formula:

volume of cylinder = \pi r^{2} h

                   395.88=\frac{22}{7} \times3\times3\times \ h\\395.88=\frac{198 \ h}{7}

By cross multiplication:

                 395.88\times 7 =198\ h\\2771.16= 198\ h

By dividing both side by 198

h = 13.99 cm

Therefore,  height of the mug to the nearest centimeter is 14 cm.

                   

6 0
3 years ago
Read 2 more answers
The amount of soft drink in a bottle is a Normal random variable. Suppose that in 7% of the bottles containing this soft drink t
WITCHER [35]

Answer:

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

7% of the bottles containing this soft drink there are less than 15.5 ounces

This means that when X = 15.5, Z has a pvalue of 0.07. So when X = 15.5, Z = -1.475.

Z = \frac{X - \mu}{\sigma}

-1.475 = \frac{15.5 - \mu}{\sigma}

15.5 - \mu = -1.475\sigma

\mu = 15.5 + 1.475\sigma

10% of them there are more than 16.3 ounces.

This means that when X = 16.3, Z has a pvalue of 1-0.1 = 0.9. So when X = 16.3, Z = 1.28.

Z = \frac{X - \mu}{\sigma}

1.28 = \frac{16.3 - \mu}{\sigma}

16.3 - \mu = 1.28\sigma

\mu = 16.3 – 1.28\sigma

From above

\mu = 15.5 + 1.475\sigma

So

15.5 + 1.475\sigma = 16.3 – 1.28\sigma

2.755\sigma = 0.8

\sigma = \frac{0.8}{2.755}

\sigma = 0.29

The mean is

\mu = 15.5 + 1.475\sigma = 15.5 + 1.475*0.29 = 15.93

The mean is 15.93 ounces and the standard deviation is 0.29 ounces.

6 0
2 years ago
Can someone help me please
anastassius [24]
C=2*3.14*7.6
C=47.728
Round.
47.7

Therefore, the circumference is 47.7 m.
8 0
2 years ago
Read 2 more answers
(◟ᅇ)◜Please Help Asap, Tysm!
d1i1m1o1n [39]

Answer:

Step-by-step explanation:

3 hope this helps :))

7 0
3 years ago
Read 2 more answers
Other questions:
  • A stack of one hundred eighty cards is placed next to a ruler, and the height of stack is measured to be 3 8 38 inches. how thic
    6·1 answer
  • Which value of x makes the numerical sentence true 25^1/2 x 5^-3=5x
    11·1 answer
  • We are learning polynomials in algebra one. Can anyone help explain trinomials like- n^3 - 5n^2 - 50n
    12·1 answer
  • Question 10
    9·1 answer
  • 1.4.4 practice modeling the rescue ship answers
    6·1 answer
  • 2x + y = -4<br> x + 4y = 12<br> Solve both for y
    14·1 answer
  • What is the approximate area of the shaded sector in the circle shown below?
    14·1 answer
  • A. The interquartile range is 55
    14·1 answer
  • Help me i really need help
    13·1 answer
  • Name the property shown and explain
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!