Find angle C, can someone help me with this please?
2 answers:
Answer:
m∠C = 98°
Step 1: Derive an Equation
To solve this problem, we will use what is called the Exterior Angle Theorem. This states that in a triangle, the measure of an <u>exterior angle</u> is equal to the sum of the measures of its 2 corresponding <u>remote interior angles</u>.
- <u>Exterior angle</u> - an angle formed by the extension of 1 side of the triangle
- <u>Remote interior angles</u> - the 2 angles that don't share a vertex with the exterior angle
In this case, the exterior angle is ∠T (the obtuse one) and the remote interior angles are ∠C and ∠Y. Therefore, <u>m∠T = m∠C + m∠Y</u>.
Substituting the given measures into the equation, we get:
Step 2: Solve the Equation
(Combine like terms)
(Subtract 2 from both sides to isolate
)
(Divide both sides by 4 to get rid of
's coefficient)
Step 3: Answer the Question
We now know what is. Therefore, m∠C =
.
To learn more about the Exterior Angle Theorem, check out the following questions:
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Answer:
E. 16 min 12 sec
Step-by-step explanation:
Let x represent total time taken to complete the exercise.
We have been given that Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session.
When the readout indicated 24 min 18 sec, she had completed 10% of her exercise session. This means that 90% time of exercise is equal to 24 minutes and 18 seconds.
18 seconds will be equal to 0.3 minutes.
Let us find total time of exercise as:
To find readout when Dara had completed 40% of her exercise session, we need to find 60% of total time.
Since our time in in minutes, so we will convert 0.2 minutes to seconds by multiplying by 60.
Therefore, the readout will indicate 16 minutes 12 seconds, when Dara had completed 40% of her exercise session.
Answer:
(b) 1.95
Step-by-step explanation:
One of the easiest ways to evaluate an arithmetic expression of almost any kind is to type it into an on-line calculator. Many times, typing it into a search box is equivalent.
<h3>Application</h3>See the attachment for the search box input (at top) and the result. This calculator has the benefit that it <em>always follows the Order of Operations</em> when evaluating an expression. (Not all calculators do.)
ln(7) ≈ 1.95
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<em>Additional comment</em>
If your math course is asking you to evaluate such expressions, you have probably been provided a calculator to use, or given the requirements for a calculator suitable for use in the course.
There are some very nice calculator apps for phone and tablet. Many phones and tablets already come with built-in calculator apps. For the purpose here, you need a "scientific" or "graphing" calculator. A 4-function calculator will not do.
As with any tool, it is always a good idea to read the manual for your calculator and work through any example problems.
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Years ago, handheld calculators were not available, and most desktop calculators were only capable of the basic four arithmetic functions. Finding a logarithm required use of a table of logarithms. Such tables were published in mathematical handbooks, and extracts of those often appeared as appendices in math textbooks used in school.
