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
*the figure is shown in the attachment
Answer/Step-by-step explanation:
Since <XYZ and <YZX are said to be congruent, therefore, the side opposite to each of the angle are also equal. Therefore, ∆XYZ is an isosceles ∆.
Find the value of n by creating an equation to solve for n:
XY = (9n + 12) ft
XZ = (15n - 6) ft
XY = XZ (2 equal lengths of isosceles ∆)
9n + 12 = 15n - 6 (substitution)
Combine like terms
9n - 15n = - 12 - 6
-6n = -18
Divide both sides by -6
-6n/-6 = -18/-6
n = 3
Find the length of leg XY by substituting n = 3 into XY = (9n + 12) ft.
XY = (9(3) + 12) ft
XY = (27 + 12) ft
XY = 39 ft
Find the length of leg XZ by substituting n = 3 into XZ = (15n - 6) ft.
XZ = (15(3) - 6) ft
XZ = (45 - 6) ft
XZ = 39 ft
Answer:
1st box: 3
2nd box: 39
3rd box: 39
Have a great day, remember to wear a mask! :)
Related Questions
Chandler wants to start saving money for vacation. She currently has $300 in her bank account and plan to save $100 more each month until she reaches her goal of $1500. How long will chandler have to save until she can afford her vacation.
(write equation in y=mx+b)
Answers
X = (1500-300)/100 = 12 months
at a restaurant jars of tomato sauce are stored in boxes in the pantry . each box contains 8 jars of tomato sauce . A cook uses 2 jars from 1 of the boxes .
Which function shows the relationship between y , the total number of jars of tomato sauce remaining in the pantry , and x , the number of boxes in the pantry?
Answers
Answer: y=8x-2
Step-by-step explanation
Because 8 jars per box would be 8x (x for how many boxes) and subtract 2 so it would be y=8x-2
Answer:
Step-by-step explanation:
y=8x-2
The amount Troy charges to mow a lawn is proportional to the time it takes him to mow the lawn. Troy charges $30 to mow a lawn that took him 1.5 hours to mow.
Which equation models the amount in dollars, d, Troy charges when it takes him h hours to mow a lawn?
A) d = 20h
B) h = 20d
C) d = 45h
D) h = 45d
Answers
First, let's find the amount of money Troy charges per hour.
$30 / 1.5hrs = $20 / hr
d = $20h
A is the correct answer choice.
What kind of transformation is illustrated between the triangle XYZ and XYZ?
2
. translation
O rotation
O reflection
O translation
Answers
Find the value of each variable.
Answers
M1 = 22
M5 = 22
The measure of angle 1 and 5 are congruent
-4/7 + (-4/3) HELP ME
Answers
Answer:
-40/21
Step-by-step explanation:
(-4/7) + (-4/3) =
First you need to find a common denominator:
(-4/7)(3/3) + (-4/3)(7/7) =
(-12/21) + (-28/21) =
Then combine the two fractions:
(-40/21)
And because you cannot simplify further, you are finished.
A bee travels at 24 km/h. At that rate, how many miles can it travel in a day?
Answers
Since 24 kilometers is equal to 14.9129 (or 15 miles), I multiplied 24 by 24. 24 hours in a day x 24 kilometers. The results were 576 kilometers. I then converted 576 km into miles which gave me 357.91 and I found my answer. I hope this helps you !!!
a line with a slope of 1 passes through the point (18,15). What is its equation in slope-intercept form?
Answers
Answer:
y=x-3
Step-by-step explanation:
Equation of the line
The equation of the line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
We already have the value of m=1, but need to find b. To do this, we use the given point (18,15) and substitute the coordinates into the equation:
y=mx+b
15=(1)(18)+b
We have used the value m=1. Operating:
15=18+b
Solving:
b=-3
Thus, the equation of the line in slope-intercept form is:
y=x-3
The product of Greg's height and 5 is 90
Answers
Answer:
450
Step-by-step explanation:
is the answer
Geometry
Please help
Answers
explanation:
4+4= PM (8)
MQ = PM, so MQ= 8
PM + MQ = PQ
8 + 8 = 16, so PQ = 16
What is the index in the expression
2
2?
Answers
Answer:
2
Step-by-step explanation:
Step-by-step explanation
Can someone please give me a free disney plus account
Answers
Answer:
Uh- I cant ;w;
Step-by-step explanation:
Answer:
yes I can if you still want one
Step-by-step explanation:
Use the distributive property to rewrite the following expression.
4(2x - 3)-3(x + 2)
Pls I only have 1 min to get this
Answers
Answer:
6x-12-3x+2
Step-by-step explanation:
8x-12-3x-6
5x-18 this is the answer
The altitude of a helicopter increase is 1000 feet every four minutes. What is the unit rate of change (feet per minute) of the altitude?
Answers
Answer:
250 feet per minute
Step-by-step explanation:
1000 divided by 4 is 250. You divide them by each other because if you multiply 250 feet by 4 minutes, you get 1000.
(brainliest?)
Five cards are numbered 1 through 5. The back of each card is identical. The cards are mixed up and placed faced down. A person randomly flips over three cards and determines the sum of the three exposed cards. What is the probability that the sum is odd?
Answers
8+($6)+6
Simplify and solve this expression:
Answers
Answer:
6+8=14
14 times 6 is 84
Mutiply 8 by 6 = 48
Add 48 and 6 =54
Answer =54
At a basketball game, a vender sold a combined total of 222 sodas and hot dogs. The number of sodas sold was 58 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.
Answers
Answer:
Probably 169
Step-by-step explanation:
I divided 222 by 2 and got 111 so i added 58 and got 169
111+58=169
If im incorrect please correct me so i can learn as well :D
1 less than the quotient of a number n and 6
Answers
Answer:
[tex]\frac{n}{6}[/tex] - 1
Step-by-step explanation:
whenever the word than is there (less than, greater than) you have to switch the order so it the words 1 was first or in the beginning of the sentence but since the words less than are there, 1 goes toward the end or after the quotient of a number n and 6.
The sum of the 8th & 4th of an Ap is 24 and sum of and sum of 6th & 10th term is 44 Find the Ap
Answers
Sum of 8th & 4th terms of an AP = 24
Sum of 6th & 10th terms = 44
Find:A.P.
Solution:We know that,
nth term of an AP = a + (n - 1)d
Hence,
⟹ a + (8 - 1)d + a + (4 - 1)d = 24
⟹ a + 7d + a + 3d = 24
⟹ 2a + 10d = 24 -- equation (1)
Similarly,
⟹ a + 5d + a + 9d = 44
⟹ 2a + 14d = 44 -- equation (2)
Subtract equation (1) from (2).
⟹ 2a + 14d - (2a + 10d) = 44 - 24
⟹ 2a + 14d - 2a - 10d = 20
⟹ 4d = 20
⟹ d = 20/4
⟹ d = 5
Substitute the value of d in equation (1).
⟹ 2a + 10(5) = 24
⟹ 2a = 24 - 50
⟹ 2a = 24 - 50
⟹ 2a = - 26
⟹ a = - 26/2
⟹ a = - 13
We know,
General form of an AP is a , a + d , a + 2d...
Hence,
⟹ required AP = - 13 , - 13 + 5 , - 13 + 2(5)...
⟹ required AP = - 13 , - 8 , - 3....
I hope it will help you.
Regards.
after walking 15 mins zacharys treadmill displayed 120 calories burned, at this rate how many calories can zach burn in 65 mins
Answers
Step-by-step explanation:
520 calories
15 mins = 120 calories
65 mins = 65/15 × 120
= 520 calories
Solve for h(x)=x(x+3)(x-2)
Answers
Answer:
Your answer is:
If you are solving to find x then your answer would have been: x = 0 , -3 , 2
If you are solving to find the x and y intercepts your answer is: ↓
x-intercept(s): (0,0) (-3,0) (2,0)
y-intercept(s): (0,0)
If you are solving to find roots your answer is: x = 0 , -3 , 2
If you want the graph look below ↓
Step-by-step explanation:
Hope this helped : )
Dylan and his friends are going into a bakery. How much would it cost to buy 1 cookie and 5 brownies if each cookie costs $0.50 and each brownie costs $2.25? How much would it cost to buy 11 cookies and 55 brownies if each cookie cost \$c$c and each brownie cost \$b?$b?
Answers
Answer:
a)$ 11.75
b) $ 129.25
Step-by-step explanation:
Dylan and his friends are going into a bakery.
Each cookie costs $0.50 and each brownie costs $2.25?
a) How much would it cost to buy 1 cookie and 5 brownies
1 × $0.50 + 5 × $2.25
= $0.50 + 11.25
= $ 11.75
b) How much would it cost to buy 11 cookies and 55 brownies
11 × $0.50 + 55 × $2.25
= $5.5 + $123.75
= $ 129.25
Line segment AB is shown on a coordinate grid: A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A line segment AB is shown with A as ordered pair 1, 3 and B as ordered pair 5, 3. The line segment is rotated 270 degrees counterclockwise about the origin to form A′B′. Which statement describes A′B′? (5 points) A′B′ is parallel to AB. A′B′ is half the length of AB. A′B′ and AB are equal in length. A′B′ is greater than twice the length of AB.
Answers
Answer:
A′B′ and AB are equal in length.
Step-by-step explanation:
Given that the location of the points are at A(1, 3) and B(5, 3).
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Rigid transformation are transformation that preserves the shape and size when performed. Types of rigid transformation are reflection, rotation, translation.
Hence if AB is rotated 270 degrees counterclockwise about the origin to form A′B′, both A′B′ and AB are equal in length because rotation is a rigid transformation.
If A(x,y) is rotated 270 degrees counterclockwise about the origin, it becomes A'(y,-x).
Hence if AB is rotated 270 degrees counterclockwise about the origin to form A'(3, -1), B'(3, -5)
[tex]AB=\sqrt{(5-1)^2+(3-3)^2} =4\\\\A'B'=\sqrt{(3-3)^2+(-5-(-1))^2}=4,[/tex]
12x+8y=240
How do I solve for y ?
Answers
A relation between a collection of inputs and outputs exists comprehended as a function.
If the equation be 12x + 8y = 240 then the value of y exists 30 - (12x/8).
What is meant by function?A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X. The sets X and Y are collectively referred to as the function's domain and codomain, respectively.
A relation between a collection of inputs and outputs exists comprehended as a function.
Let the equation be 12x + 8y = 240
8y = 240 - 12x
simplifying the above equation, we get
y = (240 - 12x) / 8
y = 30 - (12x/8)
Therefore, the value of y = 30 - (12x/8).
To learn more about function refer to:
https://brainly.com/question/11624077
#SPJ2
what is 8.8x10^5 in standard notation?
Answers
Answer:
880,000
Step-by-step explanation:
Move the decimal in 8.8 five places to the right.
PLEASE HELP WILL MARK BRAINLIEST FOR RIGHT ANSWER!!
Answers
Answer:
Population 2 pattern is that every year the population goes down by 2
Step-by-stepation:
help i need to pass:/
Answers
Answer:
biologists have a 14ft john boat with trolling motor for sale or trade for hipnopotomus
Answer:
false
Step-by-step explanation:
What is the quotient?
(-3)
(-3)2
Og
9
O 9
Answers
Answer:
The answer to your problem is negative 9
If a student is on the basketball team, then he has practice after school. If there is practice after school, then the student needs to find a ride home other than the bus. Jamal is on the basketball team.
A. Jamal does not have practice after school.
B. Jamal needs to find a ride home other than the bus.
C. Jamal can ride the bus home.
D. no conclusion
Answers
Answer:
B. Jamal needs to find a ride home other than the bus.
Step-by-step explanation:
This conclusion can be made from the prompt.
Hope this helps!
Is it 1 2 3 or 4? I need to know
Answers
Answer:
I think it is 1
I'm almost positive