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AfilCa [17]
3 years ago
12

Michael is constructing a circle circumscribed about a triangle. He has partially completed the construction, as shown below. Wh

at should be his next step in the construction?
Triangle DEF is shown with two sets of intersecting arc markings on either side of side EF.

Connect the arc markings to complete the perpendicular bisector
Find the perpendicular bisectors for side DF and DE
Connect three arc markings together to form the triangle
Use the intersection of arcs to determine the center of the circle

Is the answer A or something else??
Mathematics
1 answer:
OlgaM077 [116]3 years ago
8 0

Answer:

Connect the arc markings to complete the perpendicular bisector .

I took the test and got it right.

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Fond the value of x.
GalinKa [24]

Answer:

75

Step-by-step explanation:

The sum of internal angles in a triangle is equal to 180

58 + 47 + x = 180

105 + x = 180 subtract 105 from both sides

x = 75

5 0
3 years ago
Read 2 more answers
How many 1/ 4-inch cubes does it take to fill a box with width 2 1/ 4 inches, length 2 1/ 2 inches, and height 1 3/ 4 inches?
lys-0071 [83]

Answer:

630.

Step-by-step explanation:

<u>Given the following data;</u>

Dimensions for cube = ¼ inches

Volume \; of \; cube = \frac {1}{4} * \frac {1}{4} * \frac {1}{4}

Volume = 1/64 cubic inches.

For rectangular box;

Length = 2½ = 5/2 inches.

Width = 2¼ = 9/4 inches.

Height = 1¾ = 7/4 inches.

Volume \; of \; cube = \frac {5}{2} * \frac {9}{4} * \frac {7}{4}  

Volume = 315/32 inches

Therefore, to find the amount of cubes;

Number \; of \; cubes = \frac {Volume \; of \; box}{Volume \; of \; cube}

Substituting into the equation, we have;

Number \; of \; cubes = \frac {\frac {315}{32}} {\frac {1}{64}}

Number \; of \; cubes = \frac {315}{32} * 64

Number \; of \; cubes = 315 * 2

Number of cubes = 630

6 0
3 years ago
Read 2 more answers
A researcher compares the effectiveness of two different instructional methods for teaching electronics. A sample of 138 student
yan [13]

Answer:

The 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

Step-by-step explanation:

The (1 - <em>α</em>)% confidence interval for the difference between population means is:

CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}

The information provided is as follows:

n_{1}= 138\\n_{2}=156\\\bar x_{1}=61\\\bar x_{2}=64.6\\\sigma_{1}=18.53\\\sigma_{2}=13.43

The critical value of <em>z</em> for 98% confidence level is,

z_{\alpha/2}=z_{0.02/2}=2.326

Compute the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 as follows:

CI=(\bar x_{1}-\bar x_{2})\pm z_{\alpha/2}\times \sqrt{\frac{\sigma^{2}_{1}}{n_{1}}+\frac{\sigma^{2}_{2}}{n_{2}}}

     =(61-64.6)\pm 2.326\times\sqrt{\frac{(18.53)^{2}}{138}+\frac{(13.43)^{2}}{156}}\\\\=-3.6\pm 4.4404\\\\=(-8.0404, 0.8404)\\\\\approx (-8.04, 0.84)

Thus, the 98% confidence interval for the true difference between testing averages for students using Method 1 and students using Method 2 is (-8.04, 0.84).

5 0
3 years ago
Division 54 /7.5 plz answer this​
harkovskaia [24]

Answer:

turn the decimal into a whole number by multiplying by 10, 100 (what you do to one number you must do to the other)

multiply both by 10 it then becomes

540/75 = 7.2

it's easier to divide whole numbers and is the same answer as 54/7.5

6 0
3 years ago
Absolute value of 13
natima [27]

Answer:

13.

Step-by-step explanation: the absolute value is the distance away from 0 a number is. 13 is 13 numbers away from 0. the absolute value of negative 5 would simply be 5 since it is still 5 units away from zero, even though it is a negative number.

6 0
3 years ago
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