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1 year ago

Barry and Kerrie are discussing their pets

1 answer:

7 0

Based on the statements provided, Barry will a have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.

<h3>What is logical reasoning ?</h3>

Logical reasoning in mathematics is the process of using rational and critical thinking abilities to arrive at a conclusion about a problem.

Since Barry have at least one dog breed, the possible breeds of dogs that Barry have can be determined as follows:

Statement 1: If I have a Labrador but not a Staffie, I also have a Collie

Statement 2: I either have both a Collie and a Staffie or neither.

Statement 3: If I have a Collie, then I also have a Labrador.

From Statement 1, If Barry will have a Labrador and Collie if he doesn't have a Staffie.
From Statement 2, Barry will have both a Collie and a Staffie or he wont have either.
From Statement 3, Barry must have a Labrador if I he has a Collie.

Therefore, Barry will have a Labrador, a Collie and a Staffie at home if he has at least one dog breed.

Learn more about logical reasoning at: brainly.com/question/25175983

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Answer is A and obtuse angle is wider than a right angle

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2 years ago

In the diagram above, angle 1 = 2x+20 and<br>angle 2 = 3x+10. Find the measure of angle 1.

anzhelika [568]

Answer:

angle 1 is equal to 40°

Step-by-step explanation:

angles 1 and 2 are congruent due to alternate interior angles of parallel lines. This means that 2x+20=3x+10, solving this leaves us with x=10. Since angle 1 = 2x +20 and x=10, solve to get 2(10)+20 =20+20 = 40

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2 years ago

20 POINTS !!!!!!!!!

mezya [45]

Answer:

x = x = 9 ± $\sqrt{13}$ or x ≈ 12.61 or x ≈ 5.39

Step-by-step explanation:

x² - 18x + 68 Solve by completing the square.

x² - 18x = - 68

Now complete the square and add that number to both sides of the equation.

1/2 (of the coefficient of the x term)² = (1/2 · -18)² = 81 .

x² - 18x + 81 = -68 + 81

(x - 9) (x - 9) = 13 Now find the square root of both sides

$\sqrt{(x - 9)(x - 9)}$ = $\sqrt{13}$ Solve

x - 9 = ± $\sqrt{13}$ Solve for x

x = 9 ± $\sqrt{13}$

x = 9 + $\sqrt{13}$ or x = 9 - $\sqrt{13}$

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2 years ago

Determine whether each set of numbers can be measure of the sides of a RIGHT triangle. Justify your answer.

Papessa [141]

Answer:

The side lengths cannot belong to a right triangle.

Step-by-step explanation:

This is a simple case of Pythagorean proof. If this triangle was a right triangle, 20^2 + 21^2 = 28^2. However, this is not the case. 20^2 + 21^2 = 841, which square root is 29.

If you forgot, the Pythagoren Theorem is: a^2 + b^2 = c^2.

Hope this helps!

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2 years ago

Which linear inequality represent the graph below?

Helga [31]

Answer: B

Step-by-step explanation:

the reason the answer is B is because you want to:

1st. count how many down or up on the the Y line. In this case its 2 down which is -2.

2nd. count the boxes over. It's 2 boxes over so that gives u your top number.

3rd and final step. you count up till you reach the top point. that 5 space and so 5 is your bottom number.

Here's a trick that I use. I draw a triangle. Once u plot the points you connect them with a line is the line is going left its a negative of its going right its a positive.

then while you count the blocks draw a line in the end it turns into a triangle.

Here's a example.

PS. the top number of the fraction and the last number always match. Thats another way you can tell if its a negative or a positive.

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2 years ago

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