Proofs

True. An angle is defined as the space or figure formed by two rays (or lines) that meet at a common endpoint, known as the vertex. The amount of rotation needed to bring one ray into alignment with the other measures the angle.

Sure! Consider the addition problem: 27 + 46 + 35. To solve, first add 27 and 46, which equals 73. Then, you can regroup by adding the tens from 73 and 35, resulting in 70 + 5 = 75. Therefore, the total is 75.

The number 1 is often seen as a fundamental unit in mathematics, but in the context of the universe, it does not encompass the complexity of existence. Fundamental building blocks, such as particles in physics, are more accurately represented by concepts like quantum states or numbers like zero, which plays a critical role in defining existence and absence. Additionally, the interplay of various dimensions, forces, and particles highlights that the foundations of the universe are based on relationships and interactions, rather than a singular numeric value like 1.

Both z-tests and t-tests are statistical methods used to determine if there are significant differences between sample means. The main similarity is that they both assess hypotheses about population means based on sample data. However, the key difference lies in their applications: a z-test is used when the population variance is known and the sample size is large (typically n > 30), while a t-test is used when the population variance is unknown and/or the sample size is small (n ≤ 30). Additionally, t-tests account for more variability due to smaller sample sizes by using the t-distribution, which has thicker tails than the normal distribution used in z-tests.

Collection of data is one of the most important aspects of research. This can be done through surveys, observation, questionnaires and so much more.

Assuming you work with two variables (like x and y) only: if the graph is a vertical line, e.g. x = 5, then it is not a function. Otherwise it is.

An equilateral triangle has 3 equal angles and 3 equal sides. The angles add up to 1800 and there are 3 equal angles so each is 600
an equilateral triangle

It is an object with zero dimensions: only a position.

If two lines have angles theta1 and theta2 relative to some third arbitrary line, then the angle between those two lines is theta1 minus theta2. The normal of a line at a point is a line that is 90 degrees from the line going through that point, so the angle between a line and its normal is 90 degrees. As a result, the angle between the two normals of those lines is (theta1 plus 90) minus (theta2 plus 90), which is the same as theta1 minus theta2 because the two plus 90's cancel each other.

Consider the isosceles trapezium ABCD (going clockwise from top left) with AB parallel to CD. And let the diagonals intersect at O

Since it is isosceles, AD = BC

and <ADC = <BCD (the angles at the base BC).

Now consider triangles ADC and BCD.

AD = BC

The side BC is common

and the included angles are equal.

So the two triangles are congruent.

and therefore <ACD = <BDC

Then, in triangle ODC,

<OCD (=<ACD = <BDC) = <ODC

ie ODC is an isosceles triangle.

The triangle formed at the other base can be proven similarly, or by the fact that, because AB CD and the diagonals act as transversals, you have equal alternate angles.

I'm not sure what you are asking.

There are infinite limits, which are when the ends of a function go on to infinity and don't approach an asymptote. They have no maximum/minimum and can reach every point on the number line.

There also are indefinite integrals, which is the area between a curve and a line (say the x-axis), without a bounded region. These end in +C because the constant that may have been lost in the derivation process is unknown. If you have a point on the curve, you can find what C is, but in the neantime, an indefinite integral simply put is the area under a curve.

No. It is just the person preference.

6

6+(3*62) = 114

Yes, it is.

To prove a number ab is rational, you have to find two integers t and n such that t/n = ab.

Since we know that a, and b are rational, they can be expressed as follows:

a = p1/q1
b = p2/q2

then ab = p1p2/q1q2

Since p1, p2, q1, and q2 are all integers, p1p2 is an integer, and q1q2 is an integer. This gives us the t, and n we are looking for. t = p1p2 and n = q1q2, and ab = t/n, so ab is rational.

a journalist is made. he/she is built. In order to have the skills fit to become an outstanding journalist and writer, one has to practice, train, and persevere to be the best. according to some, being a journalist takes time to build, but for me, it only depends in one's desire to be a successful writer, and there are no barriers that can stop him from persevering, if his mind is courageous and ready enough to take the challenges to become the greatest journalist.

in this theorem we will neglect the given resistance and in next step mean as second step we will solve

Precious metals in bulk form are known as bullion, and are traded on commodity markets. Bullion metals may be cast into ingots, or minted into coins. The defining attribute of bullion is that it is valued by its mass and purity rather than by a face value as money. Many nations mint bullion coins, of which the most famous is probably the gold South African Krugerrand. Although nominally issued as legal tender, these coins' face value as currency is far below that of their value as bullion. For instance, the United States mints a gold bullion coin (the Gold Eagle) at a face value of $50 containing 1 troy ounce (31.1035 g) of gold

You use modulo 16 arithmetic.

The conclusion was when the interest was paid out.

Study to understand and then study to remember for exams. It also helps to enjoy the subjects.