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Mashutka [201]
3 years ago
9

On a piece of paper, use a protractor to construct a triangle with angle measures of 40° and 60?. What is the measure of the thi

rd angle?
Mathematics
1 answer:
Mars2501 [29]3 years ago
7 0

Answer:

80°

Step-by-step explanation:

The sum of the angles of any triangle must add up to 180°.  If you form a triangle with an angle of 40° and another angle of 60°, the sum of those two angles is 40 + 60 = 100, so the measure of the third angle: 180 - 100 = 80°.

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please help! functions and relations. f(x)= square root of x-4. find the inverse of f(x) and it’s domain.
likoan [24]

ANSWER:

\:D.\text{ }f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge-4

STEP-BY-STEP EXPLANATION:

We have the following equation:

f(x)=\sqrt{x}-4

The inverse is the following (we calculate it by replacing f(x) by x and x by f(x)):

\begin{gathered} x=\sqrt{f^{-1}(x)}-4 \\  \\ \sqrt{f^{-1}(x)}=x+4 \\  \\ f^{-1}(x)=(x+4)^2 \end{gathered}

The domain would be the range of the original equation, and it would be the range of values that f(x) could take, which was from -4 to positive infinity, that is, f(x) ≥ -4.

Therefore, the domain is x ≥ -4.

So the correct answer is D.

\:f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge -4

4 0
8 months ago
Three less than two times a number is 55. What is the number ?
Aloiza [94]
29
2x29=58-3 =55
3-2x (x=29) =55
29x2=58-3
5 0
3 years ago
Read 2 more answers
The measure of an inscribed circle of an angle is the measure of the intercepted arc
Andre45 [30]

Answer:

(the statement does not appear to be true)

Step-by-step explanation:

I don't think the statement is true, but you CAN compute the intercepted arc from the angle.

Note that BFDG is a convex quadrilateral, so its angles sum to 360. Since we know the inscribed circle touches the angle tangentially, angles BFD and BGD are both right angles, with a measure of 90 degrees.

Therefore, adding the angles together, we have:

alpha + 90 + 90 + <FDG = 360

Therefore, <FDG, the inscribed angle, is 180-alpha (ie, supplementary to alpha)

4 0
3 years ago
Which term best describes a figure formed by three segments connecting
elixir [45]

Answer:

The term that best describes a figure formed by three segments connecting three non-collinear points is:

Triangle.

Step-by-step explanation:

Step-by-step explanation:

We know that with the help of just one point we can't form any figure.

With the help of two points a line segment can be formed.

And with the help of three points if the three points are collinear a triangle can be formed.

Hence, the term that best describes a figure formed by three segments connecting three non-collinear points is:

Triangle.

8 0
2 years ago
Thomas has $30 to spend at the amusement park. Rides cost $2 each and admission at the gate is $6. What is the maximum number of
Rudiy27

Answer:

B.2r+6=30

Explanation:

It costs $6 dollars just to get in. Subtract 6 from 30. 30-6=24

Divide 24 by 2. 24 divided by 2 equals 12.

7 0
3 years ago
Read 2 more answers
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