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tatuchka [14]
2 years ago
7

Find angle C, can someone help me with this please?

Mathematics
2 answers:
stiks02 [169]2 years ago
6 0
Angle C= 98°

Explanation:

First, find angle T, which will be 180°-130° (Angle T=50°)

Now you can work out for x
You know that all the angles in a triangle add up to 180°, which means that 50+x+(3x+2)=180°
Change subjects in order to find the value of x first
x+3x=180-50-2
4x=128
x=32

Now that you found the value of x, substitute it into the value of angle C
Angle C= 3x+2
Angle C= 3(32)+2
Angle C=98°
sergij07 [2.7K]2 years ago
5 0

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:

3x+2+x=130

Step 2: Solve the Equation

3x+2+x=130

4x+2=130 (Combine like terms)

4x=128 (Subtract 2 from both sides to isolate x)

x=32 (Divide both sides by 4 to get rid of x's coefficient)

Step 3: Answer the Question

We now know what x is. Therefore, m∠C = 3*32+2=\bf 98 \textdegree.

To learn more about the Exterior Angle Theorem, check out the following questions:

  • brainly.com/question/17147409
  • brainly.com/question/6330929
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36 and 14

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Divide. Write in simplest form. 10 divided by 1 2/3 ?
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So we have 10/1 ÷ 5/3 or 10/1 × 3/5.

It's important to understand that dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division to multiplication and flip the second fraction.

Now multiplying across the numerators and across the denominators, we have 30/5. Notice however that 30/5 is not in lowest terms so we divide the numerator and the denominator by the greatest common factor of 30 and 5 which is 6 and we end up with 6.

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Tate fills a container with 9 1/2 cups of lemonade. Tate drinks 32 fl. oz. of lemonade. How many fluid ounces are left?
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Answer:

<u>44 fluid ounces</u> of lemonade are left.

Step-by-step explanation:

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Tate fills a container with 9 1/2 cups of lemonade.

Tate drinks 32 fl. oz. of lemonade.

Now, to find the quantity of fluid ounces left.

So, we convert the unit of cups into fluid ounces.

Tate fill the container of lemonade with = 9\frac{1}{2}\ cups.

As, 1 cup = 8 fluid ounces.

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Now, to get the fluid ounces left we subtract the quantity of lemonade Tate drink from the total quantity of lemonade filled in the container:

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=44\ fl.\ oz.

Therefore, 44 fluid ounces of lemonade are left.

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