Answer:
- 12. x = 6, side = 83
- 13. x = 18, side = 29
- 14. x = 11, sides = 74, 74 and 37
- 15. x = 23, sides = 95, 95 and 108
Step-by-step explanation:
<em>11 is incomplete, can't solve</em>
12
<u>The triangle is equilateral, so all sides are equal, using one pair to find x:</u>
- 13x + 5 = 17x - 19
- 17x - 13x = 5 + 19
- 4x = 24
- x = 6
<u>Each side is:</u>
13.
<u>Sides are equal as triangle is equilateral</u>
- QR = 2x - 7
- RS = 5x - 61
- QS = x + 11
<u>Finding x by comparing two sides</u>
- 2x - 7 = 5x - 61
- 5x - 2x = 61 - 7
- 3x = 54
- x = 18
<u>Sides are equal</u>
14.
<u>Equal sides of isosceles triangle:</u>
- CD = DE
- 9x - 25 = 6x + 8
- 9x - 6x = 8 + 25
- 3x = 33
- x = 11
<u>Sides are</u>
- CD = DE = 9*11 - 25 = 99 - 25 = 74
- CE = 10*11 - 73 = 110 - 73 = 37
15.
<u>Equal sides of isosceles triangle WXY, WX = WY</u>
- WX = 4x + 3
- WY = 7x - 66
- XY = 5x - 7
- 4x + 3 = 7x - 66
- 7x - 4x = 3 + 66
- 3x = 69
- x = 23
<u>Sides are:</u>
- WX=WY = 4*23 + 3 = 95
- XY = 5*23 - 7 = 108
The first sentence in the chart belongs to the subjunctive mood, while the other sentences can be classified as part of the conditional mood.
<h3>What is a verb mood?</h3>
In language, the verb mood indicates the attitude of the speaker, and therefore, it provides clues about the way language is used. For example, the imperative mode indicates an order is being given.
<h3>What is the difference between the conditional and the subjunctive mood?</h3>
- Subjunctive: It is used for expressing wishes; due to this, it is common to find the use of words such as "wish".
- Conditional: It expresses a condition or a situation that will/can happen if another situation occurs. This can be identified due to the use of "if".
Based on this, the first sentences belongs to the subjunctive mood, while the other sentences are part of the conditional.
Learn more about the subjunctive in: brainly.com/question/22728240
#SPJ1
Answer:
390
Step-by-step explanation:
Answer: Our required probability is 0.1695.
Step-by-step explanation:
Since we have given that
Number of male applicants = 4200
Number of female applicants = 3800
So, total number of applicants = 4200+3800 = 8000
Probability of male entered and subsequently enrolled is given by
Probability of female entered and subsequently enrolled is given by
Number of male entered and subsequently enrolled is given by
Number of female entered and subsequently enrolled is given by
So, Probability that a student who applied for admission will be accepted by the university and subsequently will enroll is given by
Hence, our required probability is 0.1695.
The answer will be 15-4=11
