Study the following statement:“Two intersecting lines cannot beperpendicular to the same line”. Check whether it is an equivalent version to
the Euclid’s fifth postulate.

Answers

Answer 1

Answer: Euclid's fifth postulate states that 'given any two lines and a transversal, if the angles on the same side of the transversal are less than 180 degrees they will meet on that side of the transversal'. The statement given here is that two intersecting lines cannot be perpendicular to the same line, i.e., parallel. This statement is stating that the co-interior angles of intersecting lines cannot be 90 degrees in measure, and it is almost equivalent to Euclid postulate 5.

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6 more than the quotient of a and 14 is greater than 30

Answers

Answer:

a > 336

Step-by-step explanation:

Step 1: Subtract 6 from both sides. a/14 + 6 - 6 > 30 - 6

Step 2: Simplify. a/14 > 24

Step 3: Multiply both sides by 24. 14a/14 > 24•14

Step 4: SImplify. a > 336

92% of what number is 115 ?

Answers

$\frac { 92 }{ 100 } \cdot n=115\n \n 92n=11,500\n \n n=\frac { 11,500 }{ 92 } \n \n \therefore \quad n=125$

The volume of a cube is 64 cubic inches. What is its total surface area in square inches? Show your work!

Answers

well the measurements are 4x4x4 so you do 4x 4 = 16 x 6 = 96
so your answer would be SA=96inches2

It took a car 5 days to travel 1459 miles. What was this car average speed in miles per hour ?

Answers

Answer:

12.1583333333 miles/hr.

Step-by-step explanation:

24 * 5 = 120 hrs

1459/120 = 12.1583333333

Answer:

12.158 miles/hour

Step-by-step explanation:

$(1459 miles)/(5 days) = 291.8 miles/day\n(291.8 miles)/(1 day) x (1 day)/(24 hours) = 12.158 miles/hour$

Simplify each expression 6x + 2x

Answers

Answer: 8x

Step-by-step explanation: add it normally but carry the x

the answer is
8x
as you add 6x and 2x to make 8x

Divide. Give the exact answer, written as a decimal:
9,350.1 divided by 27

Answers

9350.1 ÷ 27 = 346.3

346.3 should be the answer

Final answer:

To divide 9,350.1 by 27, use long division to obtain an approximate decimal quotient of 346.30037.

Explanation:

To divide 9,350.1 by 27, we can use long division:

Divide the first digit of the dividend (9) by the divisor (27): 9 ÷ 27 = 0.33333 (rounding to 5 decimal places).
Multiply the quotient obtained in the previous step (0.33333) by the divisor (27): 0.33333 × 27 = 8.99991 (rounding to 5 decimal places).
Subtract the product obtained in the previous step (8.99991) from the first digit of the dividend (9): 9 - 8.99991 = 0.00009 (rounding to 5 decimal places).
Bring down the next digit of the dividend (5).
Repeat steps 1-4 until there are no more digits in the dividend.

Therefore, 9,350.1 divided by 27 is approximately 346.30037 (rounded to 5 decimal places).