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Igoryamba
2 years ago
14

Need help finding the measure of the arc or angle indicated

Mathematics
1 answer:
evablogger [386]2 years ago
6 0

Answer:

70 degrees

Step-by-step explanation:

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If a number minus 3 is at most 12, or 1 more than 2 times the number is at least 25, then the number must be less than or equal
dezoksy [38]

Answer:

The statement is true.

Step-by-step explanation:

Let us assume that x is the required number.

Now, given that the number minus 3 is at most 12.

Hence, x - 3 ≤ 12

⇒ x ≤ 15 ......... (1)

And also given that 1 more than 2 times the number is at least 25.

Hence, 2x + 1 ≥ 25

⇒ 2x ≥ 24

⇒ x ≥ 12 .......... (2)

Therefore, from equations (1) and (2) we get the number must be greater than or equal to 12 or less than or equal to 15.

So, the statement is true. (Answer)

3 0
3 years ago
Why do whole numbers with an exponent get bigger while fractions with an exponent get smaller.
ohaa [14]

Raising a whole number to a power means: 

             Take (a number of things) a number of times, and then possibly
             take that big number of things a number of times again.

Raising a fraction to an exponent means: 

             Take a piece of (a piece of one thing), and then possibly
              take just a piece of that smaller piece.


8 0
3 years ago
Is there enough information to prove that the triangles are congruent?
olasank [31]

Answer:

Yes, there is enough information to prove that the triangles are congruent.

SAS POSTULATE

Step-by-step explanation:

In\:\triangle ABC \: and \triangle XYZ\\

AB\cong XY..... (given) \\

\angle ABC \cong\angle XYZ\\(each \: 90\degree) \\

BC\cong YZ..... (given) \\

\therefore \triangle ABC \cong \triangle XYZ\\(SAS\: postulate)

7 0
3 years ago
Read 2 more answers
Industrial chemicals are stored in 55-gallon drums. The radius of the drum is 12 inches, and the height is 32 inches. what is th
Drupady [299]

Answer:

The surface area of the drum is 3317.5218 square inches.

Step-by-step explanation:

Drum's have a cylindrical form, therefore in order to calculate its surface area we need to apply the correct formula, as shown below:

area = 2*\pi*r^2 + 2*\pi*r*h

Where the first term of the sum is the area of the lid and bottom of the drum and the second term is the area of the walls of the drum, r is the radius and h is the height. Applying the data from the problem, we have:

area = 2*\pi*12^2 +2*\pi*12*32\\\\area = 3317.5218 \text{ square inches}

The surface area of the drum is 3317.5218 square inches.

4 0
3 years ago
Find a counterexample to show the conjecture is false
EleoNora [17]

Answer:

Step-by-step explanation:

If two angles are supplement of each other then one of the angles must be acute

8 0
3 years ago
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