Describe how to find 5-(-8) on a number line. If you found the difference using counters, would you get the same result? Explain
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Answer:
1. ∠A and ∠B are right angles. Given
2. m∠A = m∠ B All right angles are congruent.
3. ∠BEC≅ ∠AED Vertical angles are congruent
4. ΔCBE ~ ΔDAE AA
Step-by-step explanation:
A proof always begins with the givens.
1. ∠A and ∠B are right angles. -------------->Given
2. m∠A = m∠ B are equal since-----------> All right angles are congruent.
3. ∠BEC≅ ∠AED are also equal since---->Vertical angles are congruent
4. ΔCBE ~ ΔDAE since two angles are equal----------> AA
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Answer: About 80 yards
Step-by-step explanation:
From A to B =20 yards (same for E and D) right there you already have 40 yards. Every 2 units 10 yards. F to A is the same length of half of A (10 yards). If you add them all together the perimeter is about 80 yards.
Answer: 85
Step-by-step explanation:
Writing an Equation
Find the length of each side and add them up to get the total perimeter.
We know that there are 6 sides, AB, BC, CD, DE, EF, and FA
We also know that AB = ED and BC = CD = EF = FA
So the total perimeter would be AB + BC + CD + DE + EF + FA = 2AB + 4BC
Finding length of AB
This line goes from (-2,2) to (2,2) so we can find the length by subtracting the x coordinates since the y coordinates are the same
AB = 2 - (-2) = 4
Finding length of BC
Using the Pythagorean Theorem, we can find the length of BC
This line goes from (2,2) to (3,0)
The vertical distance (a) is |0-2| = 2
The horizontal distance (b) is |3-2| = 1
So
Total length
Using the equation 2AB + 4BC to find the perimeter we get
=
=
=
Since is approximately 9, we'll substitute in 9 (assuming we don't have a calculator)
≃ 8 + 9
= 17 units
Converting units
Each unit is 5 yards, so use this ratio get the perimeter in yards
17 units * 5 = 85 yards
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1.5x < 36-27
1.5x < 9
x < 6
Number 'x' has to be lower than 6.
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so this will be the answer 8(4)/12(4)=2/3
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Answer:
4 sets.
Step-by-step explanation:
We are asked to find the greatest number of sets you can make using 28 pens and 80 pencils.
To solve our given problem, we will find greatest common factor of 28 and 80.
Factors of 28: 1, 2, 4, 7, 14, 28.
Factors of 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.
We can see that the greatest common factor of 28 and 80 is 4, therefore, you can make at-most 4 sets each having same number of pens and pencils.