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Vika [28.1K]
3 years ago
11

You discovered that if a pair of angles is a linear pair , then the angles are supplementary. Is the converse true? If so, expla

in why. If not, sketch a counterexample and explain why not.
Mathematics
1 answer:
Natasha2012 [34]3 years ago
4 0

Answer:

The converse is true

Step-by-step explanation:

The converse of a statement is obtained by interchanging the conclusion for the hypothesis

The given statement is presented as follows;

If a pair of angles is linear, then the angles are supplementary

Therefore, the converse statement is;

If a pair of angles are supplementary, then the angles are a linear pair

A linear pair of angles angles are the adjacent angles formed by the intersection of two lines

Supplementary angles are two angles that sum up to 180° such that the angles sum is that of the angles forming a straight line

Therefore, the converse statement, 'If a pair of angles are supplementary, then the angles are a linear pair', is true

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Eli is following this recipe to bake bread rolls. He uses 600ml of water. How much of the others ingredients does he use? 600g f
RoseWind [281]

Answer:

720 grams of flour.

10.8 grams of salt.

14.4 grams of yeast

36 ml of oil.

Step-by-step explanation:

The recipe is:

600g flour

9g salt

12g yeast

30ml oil

500ml water

Now we use 600ml of water.

We can take the quotient between the amount of water we use and the amount of water in the recipe, this is:

600ml/500ml = 1.2

Then the ratio between the quantities we need to use and the quantities un the recipe should be always 1.2

Or the quantities that Eli needs to use will be 1.2 times the ones shown in the recipe.

Then she needs to use:

1.2*600g flour = 720 grams of flour.

1.2*9g salt = 10.8 grams of salt.

1.2*12g yeast = 14.4 grams of yeast

1.2*30ml oil = 36 ml of oil.

7 0
3 years ago
Teresa is a software salesperson. Her base salary is $1700 and she makes $ 70 more for every copy of Math is Fun she sells. Her
juin [17]

Answer:

31 copies

Step-by-step explanation:

70c+1700=3870

70c=2170

c=31

5 0
2 years ago
Mike has an adjusted gross income of $85,643. He claims two exemptions and can deduct $896 for state income tax, $2,145 for char
damaskus [11]
The gross income is $85,463
Here are the deduction before tax is applied:
<span>$896 - income
</span>$2,145 - charitable donations
<span>$3,473 - medical expenses
2 x </span><span>$3,650 - exemptions

Adding all the deductions:
</span>$896 + $2,145 + $3,473 + 2 x $3,650 = $13,814

Subtracting this from the gross income:
$85,463 - $13,814 = $66,129
3 0
4 years ago
Read 2 more answers
Sketch the figure: Two different isosceles triangles with perimeter 4a + b
Nikitich [7]

The two triangles with the given perimeter is attached .

Perimeter is the sum of all sides.

For the first triangle , sies are  2a,2a and b.

So the perimeter is

Perimeter = 2a+2a+b&#10;\\&#10;Perimeter = 4a+b

For the second triangle, sides are a,a, and 2a+b. Therefore perimeter is

Perimeter = a+ a + 2a+b&#10;\\&#10;Perimeter = 4a+b

So for both triangles, perimeter is

4a+b

3 0
3 years ago
What is the product of<br> 9/20 - 1/4
wlad13 [49]

Answer:

\frac{1}{5}

Step-by-step explanation:

\frac{9}{20} - \frac{1}{4}

Make sure they have a common denominator. To do so, you must find a number the both have in come. Here, the number they have in common is 20.

What times 4 equals 20? 5. Whatever you do to the denominator you must do to the numerator.

\frac{5}{5} × \frac{1}{4} = \frac{5}{20}

Now you have \frac{9}{20} - \frac{5}{20} = \frac{4}{20}

Then you can simplify \frac{4}{20} to \frac{1}{5} by dividing it by \frac{4}{4}

8 0
3 years ago
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