Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet. Angles X Y Z and Y Z X are congruent. Consider isosceles ΔXYZ. What is the value of n? What is the measure of leg XY? ft What is the measure of leg XZ? ft

Answers

Answer 1

Answer:

The value of n is 3, the measure of leg XY is 39 ft, and the measure of XZ is 39 ft and this can be determined by using the properties of an isoscelestriangle.

Given :

Triangle X Y Z is shown. The length of side X Y is (9 n + 12) feet and the length of side X Z is (15 n minus 6) feet.
Angles X Y Z and Y Z X are congruent.
Consider isosceles ΔXYZ.

Given that the angle XYZ and angle YZX are congruent to each other and triangle XYZ is an isosceles triangle.

From the above statement, it can be concluded that the side length of XY and the side length of XZ is also congruent to each other, that is:

XY = XZ

9n + 12 = 15n - 6

Simplify the above expression in order to determine the value of 'n'.

18 = 6n

n = 3 ft

The measure of leg XY is given by:

XY = 9(3) + 12 = 39 ft

The measure of leg XZ is given by:

XZ = 15(3) - 6 = 39 ft

For more information, refer to the link given below:

brainly.com/question/19237987

Answer 2

Answer:

Answer:

$n = 3$

$XY = 39$

$XZ = 39$

Step-by-step explanation:

Given

$XY = 9n + 12$

$XZ = 15n - 6$

$<XYZ = <YZX$

Solving (a): n

To solve for n;

We make use of

$XY = XZ$

Substitute values for XY and XZ

$9n + 12 = 15n - 6$

$9n - 15n = -12 - 6$

$-6n = -18$

Divide through by -6

$n = 3$

Solving (b) XY

$XY = 9n + 12$

Substitute 3 for n

$XY = 9 * 3 + 12$

$XY = 27 + 12$

$XY = 39$

Solving (c): XZ

$XZ = XY$

$XZ = 39$

Related Questions

Which expressions result in a positive number? Choose all answers that are correct. A. B. –5 – (–5.1) C. 14 • (–3) D. 3 + (–7)
What is –3 2/3 · (–2 1/4 )?
Find the (a) mean, (b) median, (c) mode, and (d) midrange for the data and then (e) answer the given question. Listed below are the weights in pounds of 1111 players randomly selected from the roster of a championship sports team. Are the results likely to be representative of all players in that sport's league? 186 229 240 257 187 221 309 293 257 274 221
Determine the intercepts of the line x intercept ...... y intercept ?
The equation x2 + y2 − 2x + 2y − 1 = 0 is the general form of the equation of a circle. What is the standard form of the equation?

In circle v, r=14ft. what is the area of circle v? A)14πft2
B)28πft2
C)49πft2
D)196πft2

Answers

Answer:

$\text{Area of circle v is }196\pi ft^2$

Step-by-step explanation:

Given the circle v of radius 14 ft.

we have to find the area of circle.

Area of circle can be calculated by the formula

$Area=\pi r^2$

Radius=14 ft

$Area=\pi (14)^2=196\pi ft^2$

Hence, $\text{area of circle v is }196\pi ft^2$

Option D) is correct.

I'm pretty sure that the answer is D

Express the ratio 45 seconds to 30 minutes as a fraction in simplest form.

Answers

Answer: The required ratio in simplest form is 1 : 40.

Step-by-step explanation: We are given to express the ratio 45 seconds to 30 minutes as a fraction in simplest form.

We know that

1 minute = 60 seconds.

So, 30 minutes = (30 × 60) = 1800 seconds.

Therefore, the ratio is given by

$45~\textup{seconds}:30~\textup{minutes}\n\n=\frac{45~\textup{seconds}}{30~\textup{minutes}}\n\n\n=\frac{45~\textup{seconds}}{1800~\textup{seconds}}\n\n\n=(1)/(40)\n\n=1:40.$

Thus, the required ratio in simplest form is 1 : 40.

$1min=60s\to30min=30\cdot60s=1800s\n\n45s:30min=45s:1800s=45:1800=(45)/(1800)=(45:45)/(1800:45)=(1)/(40)$

how many different 10 letter words (real or imaginary) can be formed from the following letters?

K,Y,T,G,W,C,Y,D,A,A

Answers

The # of ten letters words that can be formed = 10! = 907,200 2!2! factorial 10! means > 10 . 9 .8 .7 .6 .5 .4 .3 .2 .1 hench there are 907,200 ways

Determine if the conditional statement is true or false given the following:p is false.
q is true
Is q p true or false?

Answers

The q p will be false if p is false and q is true after applying the conditional statement operation.

What is the converse of a statement?

A conditional statement with the antecedent and effect reversed is known as a converse statement.

It is given that:

The two conditional statements are p and q:

p is false

q is true

"p q" represents symbolically "If p then q," where p stands for the hypothesis and q for the conclusion.

If p is false and q is true then q p will be false.

Thus, the q p will be false if p is false and q is true after applying the conditional statement operation.

Learn more about the converse of a statement here:

brainly.com/question/18152035

#SPJ2

$If\ p\ is\ false\ and\ q\ is\ true\ then\ q*p\ must\ be\ false.$

The number of elements in the sample space of an event is equal to the total number of possible outcomes. A.True
B. False

Answers

Answer with explanation:

Meaning of Sample Space: Total number of Elements in an event when an experiment is done under same condition, several times and produce the same outcome every time.

For, example: Toss an Unbiased Coin, 100 or 1000 times, it will produce the same outcome every time which are Head and Tail.

Total Possible Outcome: Suppose In a Bag, there are 5 Red , 5 Green , and 6 Orange Color Balls.We want to draw a ball.So,Every time you draw a ball from the bag, it will be either, Red, green or Yellow.So, total Possible outcome of balls in the bag, will be =5 Red +5 Green +6 Orange=16 Balls.

≡True Statement:⇒The number of elements in the sample space of an event is equal to the total number of possible outcomes.

Please help guys thank you