Answer:
UV=29
Step-by-step explanation:
In right triangles AQB and AVB,
∠AQB = ∠AVB ...(i) {Right angles}
∠QBA = ∠VBA ...(ii) {Given that they are equal}
We know that sum of all three angles in a triangle is equal to 180 degree. So wee can write sum equation for each triangle
∠AQB+∠QBA+∠BAQ=180 ...(iii)
∠AVB+∠VBA+∠BAV=180 ...(iv)
using (iii) and (iv)
∠AQB+∠QBA+∠BAQ=∠AVB+∠VBA+∠BAV
∠AVB+∠VBA+∠BAQ=∠AVB+∠VBA+∠BAV (using (i) and (ii))
∠BAQ=∠BAV...(v)
Now consider triangles AQB and AVB;
∠BAQ=∠BAV {from (v)}
∠QBA = ∠VBA {from (ii)}
AB=AB {common side}
So using ASA, triangles AQB and AVB are congruent.
We know that corresponding sides of congruent triangles are equal.
Hence
AQ=AV
5x+9=7x+1
9-1=7x-5x
8=2x
divide both sides by 2
4=x
Now plug value of x=4 into UV=7x+1
UV=7*4+1=28+1=29
<u>Hence UV=29 is final answer.</u>
Well, as it says, your first statement needs to explain what interests you about the program.
If you feel you need multiple paragraphs, let the first be an introduction, around 4 or 5 sentences. Include, possibly what pushed you to apply for this program, what you're looking forward to, and a reason for them to hire you. You can add a thesis statement of sorts if that helps (a short statement, usually one sentence, that summarizes the main point or claim of a paper). The first paragraph can be short, it doesn't need to be too in-depth. You can talk more about that later in your statement.
The body paragraphs must include your goals and extracurricular interests (what courses would you like to take and why?).
As it states, you must list your GPA, what interests you about the Major and/or Minor/Workshop courses, and what you can contribute (you can build off of what you said in your first paragraph here).
It is very important to share additional details you think are important, such as accomplishments you are proud of, for example.
A conclusion would be nice, a short and sweet wrap-up of your overall statement (not too long).
Remember, the name of the game is to sound confident and prove to them that you are in fact a good fit for the program! Good luck! Stay focused ^^
The correct answer is NO LINEAR FACTORS (option A ).
Answer:
C.1/6
Step-by-step explanation:
Initially the box has four $1 and six $5 bills. The probability of selecting a $5 bill in the first trial would be given as;
(number of $5 bills) / (total number of bills)
= (6)/(4+6) = 3/5
If in the first attempt we actually pick a $5 bill, the number of $5 bills will reduce by one to 5. Now, the probability of picking a $5 bill in the second attempt will be given as;
(new number of $5 bills) / (new total number of bills)
= (5)/(4+5) = 5/9
The new number of $5 bills will now be; 6 - 2 = 4 since we have already picked 2 without replacing them.
Now, the probability of picking a $5 bill in the third attempt will be given as;
(new number of $5 bills) / (new total number of bills)
= (4)/(4+4) = 1/2
Since the three attempts are independent, the probability of picking all three $5 bills is;
3/5 * 5/9 * 1/2 = 1/6
