answer.
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
timofeeve [1]
2 years ago
13

The construction of copying ∠"QPR" is started below. The next step is to set the width of the compass to the length of ("AB" ).

How does this step ensure that the new angle will be congruent to the original angle?

Mathematics
1 answer:
Roman55 [17]2 years ago
4 0

Answer:

Constant radius, AB = TU

Step-by-step explanation:

Construction: Copying of <QPR, so that;

         <QPR = <TSU

The compass is placed in such a way that its two pointed legs are place at points A and B respectively to copy distance AB.

Now, place the compass at T and describe an arc to locate point U. Draw a straight line through S and U.

Therefore,

             <QPR = <TSU

The step ensures that the angles are congruent by constant radius, AB = TU.

You might be interested in
In the figure, angle ZYX is measured in degrees. The area of the shaded sector can be determined using the formula StartFraction
tensa zangetsu [6.8K]

<u>The given options are:</u>

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

(B)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the circumference of the circle will yield the area of the sector.

(C)the central angle measure of the sector multiplied by the area of the circle will yield the area of the sector.

(D)the central angle measure of the sector multiplied by the circumference of the circle will yield the area of the sector.

Answer:

(A)the central angle measure of the sector divided by the total angle measure of a circle multiplied by the area of the circle will yield the area of the sector.

Step-by-step explanation:

The area of the shaded sector can be determined using the formula:

\frac{m\angle ZYX}{360^\circ} \cdot \pi r^2

m\angle XYZ=$Central angle of XYZ\\\pi r^2$=Area of a Circle

360^\circ =$Total Angle

Therefore, the formula is:

\dfrac{m\angle ZYX}{360^\circ} \cdot \pi r^2\\\text{Area of XYZ}=\dfrac{\text{Cental Angle of XYZ}}{\text{Total Angle}} X \text{Area of the Circle}

Therefore, the formula is best explained by Option A.

7 0
2 years ago
Select the locations on the number line to plot the points 10/2 and −9/2 .
tresset_1 [31]

Answer:

5 and -4.5

Step-by-step explanation:

10/2=5

and -9/2=-4.5

-5  -4.5 -4 -3 -2 -1 0 1  2 3 4 5

4 0
2 years ago
Read 2 more answers
A survey of 2690 musicians showed that 368 of them are left-handed. Find a point estimate for p, the population proportion of mu
makkiz [27]

Answer: 0.137.

Step-by-step explanation:

Let p be the population proportion of musicians that are left-handed.

Given: Sample size : n= 2690   [subset of population]

Number of musicians that are left-handed: x= 368

Then the sample proportion: \hat{p}=\dfrac{368}{2690}\approx0.137

Since sample proportion is the best point estimate of the population proportion.

Hence, a point estimate for p, the population proportion of musicians that are left-handed is 0.137.

7 0
2 years ago
What is the domain of the given function? {(3, –2), (6, 1), (–1, 4), (5, 9), (–4, 0)}
Veronika [31]
The domain is all the x values that makes the graph work so its -4,-1,3,5,6
3 0
2 years ago
Read 2 more answers
The Fortune 500 is comprised of Fortune magazine's annual list of the finite population of the top 500 companies in the U.S. ran
Serjik [45]

Answer:

The standard error of the proportion is 0.0367.

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the standard error is s = \sqrt{\frac{p(1-p)}{n}}

In this question:

p = 0.16, n = 100

So

s = \sqrt{\frac{0.16*0.84}{100}} = 0.0367

The standard error of the proportion is 0.0367.

4 0
2 years ago
Other questions:
  • If the number of concerts held in a city is correlated to the number of local radio channels, what third variable might most lik
    8·1 answer
  • mrs.beluga is driving on a snow covered road with a drag factor of 0.2. she brakes suddenly for a deer. The tires leave a yaw ma
    11·1 answer
  • Select the two figures that are similar to the 9 by 6 figure that’s is shown.
    9·2 answers
  • Steve buys 2 lb of grapefruit and 3 lb of oranges for $7.20. Kennedy buys 4 lb of grapefruit and 2 lb of oranges for $8.80. Let
    6·1 answer
  • Which triangle’s unknown side length measures Start Root 53 End Root units?
    7·2 answers
  • Slope is used for which of the following situations? Slope is used to determine if lines are parallel. Slope is used to determin
    8·1 answer
  • A=170 rounded to the nearest 10<br> b=93.2 rounded to 1 DP<br> Find the minimum (to 2 DP) of a÷b
    15·1 answer
  • Match the following guess solutions ypyp for the method of undetermined coefficients with the second-order nonhomogeneous linear
    13·1 answer
  • Which calculation results in the best estimate of 148% of 203? (200) (140 percent) = (200) (100 percent + 40 percent) = (200) (1
    15·2 answers
  • A hair stylist knows that 87% of her customers get a haircut and 40% get their hair colored on a regular basis. Of the customers
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!