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musickatia [10]
2 years ago
5

Two angles of a triangle are same size. The third angle is 12 degrees smaller than the first angle. Find the measure of the thir

d angle.
Mathematics
1 answer:
lawyer [7]2 years ago
3 0

Answer:

44°

Step-by-step explanation:

Given that :

Two angles are equal sized;

Let the angle = x

Third angle = 12 smaller than first, x - 12

The measure of the third angle ;

Sum of angles in a triangle = 180°

First + second + third angle = 180°

x + x + (x - 12) = 180

2x + x - 12 = 180

3x = 180 - 12

3x = 168°

x = 56°

The third angle :

(x - 12) = 56 - 12 = 44°

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Please help me with this.
tatyana61 [14]

By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:

  1. r (- 3) = 15
  2. r (- 1) = 11
  3. r (1) = - 7
  4. r (5) = 13

<h3>How to evaluate a piecewise function at given values</h3>

In this question we have a <em>piecewise</em> function formed by three expressions associated with three respective intervals. We need to evaluate the expression at a value of the <em>respective</em> interval:

<h3>r(- 3): </h3>

-3 ∈ (- ∞, -1]

r(- 3) = - 2 · (- 3) + 9

r (- 3) = 15

<h3>r(- 1):</h3>

-1 ∈ (- ∞, -1]

r(- 1) = - 2 · (- 1) + 9

r (- 1) = 11

<h3>r(1):</h3>

1 ∈ (-1, 5)

r(1) = 2 · 1² - 4 · 1 - 5

r (1) = - 7

<h3>r(5):</h3>

5 ∈ [5, + ∞)

r(5) = 4 · 5 - 7

r (5) = 13

By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:

  1. r (- 3) = 15
  2. r (- 1) = 11
  3. r (1) = - 7
  4. r (5) = 13

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

7 0
2 years ago
Beau's recipe for granola bars calls for 3 1/2 cups of oatmeal. He only has a 1/6 cup scoop. How many scoops of oatmeal will he
Drupady [299]

There will be \boxed{\bf 21} scoops of oatmeal to complete the recipe.

Further explanation:

Given that Beau’s recipe of granola bars contains 3\frac{1}{2} cups of oatmeal.

Beau’s has only \frac{1}{6} cup scoop.

Our aim is to find the number of scoops of oatmeal Beau’s needed to complete the recipe for granola bars.

Total cups of oatmeal are 3\frac{1}{2}.

First we have to convert the total cups of oat meal to proper fraction.

\begin{aligned}\text{Cups of oatmeal for the recipe}&=\dfrac{(3\cdot 2)+1}{2}\\&=\dfrac{6+1}{2}\\&=\dfrac{7}{2}\end{aligned}  

There is only \frac{1}{6} cup scoop.  

Since there are \frac{7}{2} cups of oatmeal and \frac{1}{6} cup scoop, therefore, number of scoops required to complete the meal are calculated as follows:

\begin{aligned}\text{Number of scoops required}&=\dfrac{\frac{7}{2}}{\frac{1}{6}}\\&=\dfrac{7}{2}\cdot 6\\&=7\cdot 3\\&=21\end{aligned}  

The total number of scoops is obtained in whole number; therefore, this is our final answer.

Therefore, \boxed{\bf 21} scoops of oatmeal are needed by Beau’s to complete the recipe of granola bars.

Learn more:

1. Learn more about simplified form brainly.com/question/1602237

2. Learn more about equations brainly.com/question/1473992

3. Learn more about fractions brainly.com/question/1648978

4. Learn more about composite function brainly.com/question/2723982

Answer details:

Grade: Middle school

Subject: Mathematics

Chapter: Fractions

Keywords: Beau’s, recipe, granola, bars, cups, oatmeal, scoop, 3 1/2 ,1/6 cup scoop, complete, cups of oatmeal, fractions, whole number.

7 0
3 years ago
Read 2 more answers
3 3/4 ÷ 4 1/2 = ????????????????
nata0808 [166]

Answer:

\frac{5}{6}

6 0
2 years ago
Read 2 more answers
Oliver has 3 times as many rocks in his collection as Katie. Then Oliver collected 75 more rocks and Katie collected 105 more ro
Evgesh-ka [11]

Answer:

The answer to your question is Katie had 15 rocks and Oliver 45 rocks.

Step-by-step explanation:

Conditions

Katie has x amount of rocks

Oliver has 3x amount of rocks

The final amount of rocks

                                    Oliver = 3x + 75

                                     Katie = x + 105

Now, they have the same amount of rocks, then we can equal both equations

                                   3x + 75 = x + 105

Solve for x

                                     3x - x = 105 - 75

                                           2x = 30

                                             x = 30/2

                                             x = 15

Conclusions

At first Katie had 15 rocks and Oliver had 3(15) = 45 rocks

5 0
3 years ago
Read 2 more answers
Right, obtuse, or acute???
Ad libitum [116K]

Answer:

acute..............

5 0
2 years ago
Read 2 more answers
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