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Usimov [2.4K]
3 years ago
6

What is the inverse of the following statement?

Mathematics
1 answer:
shusha [124]3 years ago
3 0
Hi,
Let assume 
p="the triangle have 3 acute angles"q="the triangle is a acute triangle"
the statement is p==>q
converse is q==>p
inverse is ~p==>~q
contrapositive is ~q==>~p
Answer is  A
<span>"If a triangle does not have three acute angles, then it is not an acute triangle."</span>
<span />
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In each problem, angle C is a right angle. Solve each triangle rounding answers to the nearest
ryzh [129]

Answer:

B = 61°

A = 29°

a = 10

Step-by-step explanation:

We are given;

c = 16, b = 14​

Since we are told that C is a right angle, it means that C = 90°

Thus using sine rule, we have;

c/sin C = b/sin B

16/sin 90 = 14/sin B

16/1 = 14/sin B

sin B = 14/16

sin B = 0.875

B = sin^(-1) 0.875

B ≈ 61°

Now, since C is a right angle, it means that c will be the hypotenuse of the triangle.

Thus, from pythagoras theorem, If the other side of the triangle is a, then;

a² + b² = c²

a² + 14² = 16²

a² = 16² - 14²

a² = 256 - 156

a² = 100

a = √100

a = 10

Since we know B and C, we can find A because sum of angles in a triangle is 180°.

Thus;

A = 180 - (B + C)

A = 180 - (61 + 90)

A = 29°

4 0
3 years ago
Each square below represents one whole.
geniusboy [140]

Answer:

???69

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which graph represents a function? A coordinate plane shows 4 points with the following coordinates: (negative 3, 3), (negative
Jet001 [13]

The ordered pair that represents a function is:

⇒ (-3, 3), (-2, -2), (1, 1), (2, -2)

<u>What are Coordinates?</u>

A pair of numbers that describe the exact position of a point on a cartesian plane by using horizontal and vertical lines are called the coordinates.

The given points are;

(-3, 3), (-3, -3), (-1, 1), (1, 4)

(-3, 3), (-2, -2), (1, 1), (2, -2)

(-3, 3), (-3, -3), (1, -4), (1, 1)

(-4, 4), (-4, 1), (-2, 1), (2, 1)

Now, For an ordered pair to be a function, either of the following must be true:

Each x-value has exactly one corresponding y-value.

More than one x-values have the same corresponding y-values.

And, If any of the following conditions is true, then the ordered pair is not a function,

One x-value has multiple corresponding y-values.

More than one x-values have multiple corresponding y-values.

From the given options, only ordered pair  (-3, 3), (-2, -2), (1, 1), (2, -2) satisfies the condition to be a function.

Because none of its x-values have multiple corresponding y-values.

And, Other ordered pairs are either one-to-many or many-to-many.

So, The ordered pair that represents a function is:

⇒  (-3, 3), (-2, -2), (1, 1), (2, -2)

To learn more about ordered pairs visit:

brainly.com/question/19267542

#SPJ1

4 0
1 year ago
Question 9 of 10
denis-greek [22]
The answer should be A and D
4 0
3 years ago
What is the relationship between the ratios? 16/72 and 8/32 Drag and drop to complete the statement. The ratios are . proportion
Yuki888 [10]
These ratios are not proportional.

Explanation:

If the ratio 8:32 were simplified, it would equal 1:4 because they can both be divided by 8. But since 16 x 4 does not equal 72, they cannot be divided by 4 to make a simplified ratio such as the first example.

Hope I helped, and good luck!
5 0
3 years ago
Read 2 more answers
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