Answer:
Initial Deposit = $40,900
Step-by-step explanation:
Working shown in picture.
The probability that lucy will do. The drawing is 0.125. What is the probability that she will not win
1 answer:
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<h2><u>Part 1: Define</u></h2><h3>Part 1i) Defining "adjacent angles"</h3>
In this case, adjacent angles are such pairs of angles that are alongside each other. Therefore, we can say that the sum of the two adjacent angles forms a bigger angle.
<h3>Part 1ii) Defining "vertical angles"</h3>In this case, vertical angles are such angles that are on opposite sides of the intersection between two lines. It is understood that vertically opposite angles are equivalent.
<h2><u>Part 2: Solve</u></h2><h3>Problem 8:</h3>Clearly, we can see that two angles (one angle known as ∠x and the other angle) are alongside each other. Therefore, we can tell the angles are adjacent angles.
As we can see a , we can tell that the sum of the measure of ∠x and the other angle is 90°. Therefore, we obtained;
- ⇒ ∠x + 35 = 90
- ⇒ ∠x = 90 - 35
- ⇒ ∠x = 65°
Therefore, the measure of ∠x is 65°.
<h3 /><h3>Problem 9:</h3>Clearly, we can see that two angles (one angle known as ∠x and the other angle) are on opposite sides. Therefore, we can tell that the angles are vertically opposite angles.
As stated in part 1ii, vertical angles are equivalent. Since ∠x and the other angles are vertically opposite angles, the measure of ∠x is 128°.
<h3 /><h3>Problem 10:</h3>Clearly, we can see that two angles (one angle known as ∠x and the other angle) are alongside each other. Therefore, we can tell the angles are adjacent angles.
Since the line shown, is a straight line, we can tell that the sum of 117 and x is 180. Therefore, we obtain the following equation;
- 117 + ∠x = 180°
<u>When isolating x, we get;</u>
- ⇒ 117 + ∠x - 117 = 180° - 117
- ⇒ ∠x = 180° - 117
- ⇒ ∠x = 63°
Therefore, the measure of ∠x is 63°
Learn more about this topic: brainly.com/question/14355129
To answer this question, we have to do the long division process for polynomials. We can do the operation as follows:
To do this division process, we have:
1. Divide the first term of the dividend by the first element of the divisor. They are:
2. Now, we have to multiply this result by the divisor, and the result will change its sign since we have to subtract that result from the dividend as follows:
And since we to subtract this result from the dividend, we end up with:
3. Then we have the following algebraic addition:
4. Again, we need to divide the first term of the dividend by the first term of the divisor as follows:
5. And we have to multiply 5 by the divisor, and the result will be subtracted from the dividend:
Since we have to subtract this from the dividend, we have:
6. And we have to add this algebraically to the dividend we got in the previous step:
And this is the remainder of the division, x + 5.
As we can see from the division process, we got as:
1. The quotient: -x + 5
2. The remainder: x + 5.
Since we have that the dividend = divisor * quotient + remainder.
Therefore, the result for this division is:
