Answer:
[tex]n = 3[/tex]
[tex]XY = 39[/tex]
[tex]XZ = 39[/tex]
Step-by-step explanation:
Given
[tex]XY = 9n + 12[/tex]
[tex]XZ = 15n - 6[/tex]
[tex]<XYZ = <YZX[/tex]
Solving (a): n
To solve for n;
We make use of
[tex]XY = XZ[/tex]
Substitute values for XY and XZ
[tex]9n + 12 = 15n - 6[/tex]
[tex]9n - 15n = -12 - 6[/tex]
[tex]-6n = -18[/tex]
Divide through by -6
[tex]n = 3[/tex]
Solving (b) XY
[tex]XY = 9n + 12[/tex]
Substitute 3 for n
[tex]XY = 9 * 3 + 12[/tex]
[tex]XY = 27 + 12[/tex]
[tex]XY = 39[/tex]
Solving (c): XZ
[tex]XZ = XY[/tex]
[tex]XZ = 39[/tex]
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 isosceles triangle.
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:
https://brainly.com/question/19237987
On a certain planet, Continent X has an area of 6.23*10^6 square miles and Continent Y has an area of 63,600,000 square miles. How many times larger is Continent Y than Continent X?
Answer:
Step-by-step explanation:
Continent X =6.23*10^6
Continent Y= 63,600,000
rounded = 60,000,000
Scientific notation = 6*10^7
Now round continent X= 6.23 or 6
Continent X= 6*10^6
6*10^7/ 6*10^6 = 1*10^(7-6)
= 1*10^1
= 1*10
= 10
So your answer would be 10.
I hope that helps
Answer:
Step-by-step explanation:Continent X =6.23*10^6
Continent Y= 63,600,000
rounded = 60,000,000
Scientific notation = 6*10^7
Now round continent X= 6.23 or 6
Continent X= 6*10^6
6*10^7/ 6*10^6 = 1*10^(7-6)
= 1*10^1
= 1*10
= 10
So, your answer would be 10 I would have done it this way too not trying to copy(:
Katherine wants to prove that the measures of the interior angles of a triangle have a sum of 180' She draws a triangle and extends one of the sides through a vertex. She then draws a line through th
Vertex thai paralel to the opposite side as shown in the diagram below
Answer:
The statements that must be true are;
A. m∠1 = m∠5
B. m∠2 = m∠4
C. m∠3 + m∠4 + m∠5 = 180°
Step-by-step explanation:
The given parameters are;
The fact Katherine wants to prove = The sum of the measures of the interior angles of a triangle = 180°
The line Katherine drew passing through the vertex = Parallel to the opposite side of the triangle
Therefore we have;
1) m∠1 and m∠5 are corresponding angles and m∠1 = m∠5 for corresponding angles of parallel lines having the same transversal
2) m∠2 and m∠4 are alternate interior angles and m∠2 = m∠4 for alternate interior angles of parallel lines having the same transversal
3) m∠3 and m∠4 and m∠5 are angles on a straight line and angles on a straight line are supplementary
∴ m∠3 + m∠4 + m∠5 = 180°, by the definition of supplementary angles
Therefore, m∠3 + m∠2 + m∠1 = 180° (substitution property)
m∠3 + m∠2 + m∠1 = Sum of interior angles of a triangle = 180°.
Actual roots of f(x)=2x^2+2x-24
[tex]f(x) = 2 {x}^{2} + 2x - 24 [/tex]
[tex]f(x) = 2( {x}^{2} + x - 12) [/tex]
[tex]0 = 2( {x}^{2} + x - 12)[/tex]
Divided sides by 2
[tex] {x}^{2} + x - 12 = 0 [/tex]
[tex](x + 4)(x - 3) = 0[/tex]
_________________________________
[tex]x + 4 = 0[/tex]
[tex]x = - 4[/tex]
_________________________________
[tex]x - 3 = 0[/tex]
[tex]x = 3[/tex]
Thus the actual roots are -4 and 3.....
And we're done.
♥️♥️♥️♥️♥️
Answer:
x= 3, -4
Step-by-step explanation:
Set 2 x ² + 2 x − 24 equal to 0 .
2 x ² + 2 x − 24 = 0
Solve for x .
Factor the left side of the equation.
2 ( x² + x − 12 ) = 0
Factor
x ² + x − 12 using the AC method.
2 ( x − 3 ) ( x + 4 ) = 0
If any individual factor on the left side of the equation is equal to 0 , the entire expression will be equal to 0 .
x − 3 = 0
x + 4 = 0
Add 3 and subtract 4 to both sides of the equation.
x = 3
x = -4
WILL MARK YOU BRAINLIEST!!!!!!
Answer:
y = 88
Step-by-step explanation:
Don't worry about the other stuff, just worry about what's in the triangle that has Y.
53°, 39°, and y°
the sum should be equal to 180 so add 53 adn 39 and subtract it from 180.
180 - (53 + 39) = y
180 - 92 = y
88 = y
Hope this helped! Pls Brainliest my answer! It would help amd mean a lot! ;)
what is b^2 = 49 on khan academy
Answer:
b=7
Step-by-step explanation:
7 squared is 49, so b equals 7. I hope that was what you were looking for, and that it helps.
PLSSS HELPPP I WILL GIVE BRAINLIESTTTT!!!!!!!
Answer: Domain is [1,3], Range is [304,391]
Step-by-step explanation:
Domain is just the x values the table has from lowest to highest. Period is the x values so domain is [1,3]
Range is the y values from lowest to highest the lowest y is 304 and highest is 391, so you use those two numbers to get [304,391]
Am I right or wrong if I’m wrong please tell and with explanation
========================================================
Explanation:
Let's say there are 100 students total. You can start with any number you want, but I'm picking a large round number to work with.
3/5 of the total voted, so (3/5)*100 = 0.6*100 = 60 people voted
Of the 60 who voted, 3/4 of those went to the winning candidate.
3/4 of 60 = (3/4)*60 = 0.75*60 = 45
We have 45 people who voted for the winning candidate out of 100 total students, so,
45/100 = (9*5)/(20*5) = 9/20
Meaning that 9/20 of the student body voted for the winning candidate.
--------------------------------
You could also multiply the two given fractions to get the same answer
(3/5)*(3/4) = (3*3)/(5*4) = 9/20
When multiplying, you multiply the numerators together and the denominators together. Reduce the fraction if possible.
Use substitution to solve each system of equations. If the system does not have exactly one solution, state whether it has no solution or infinitely many solutions.
2x + 7y = 3
x = 1 - 4y
Answer:
No solution
Step-by-step explanation:
what is the distance between -7 and -1
Please answer ASAP!!!
Answer:
its -6
hopefully this will help you
Solve each system by elimination: -7x-6y=4 -3x+2y=20
Answer:
Step-by-step explanation:
-7x - 6y = 4
-9x + 6y = 60
-16x = 64
x = -4
-3(-4)+2y=20
12+2y=20
2y=8
y =4
(-4,4)
The height of a small rock falling from the top of a 124-ft-tall building with an initial downward velocity of -30 ft/sec is modeled by
the equation h(t) = -16% - 30t + 124, where t is the time in seconds. For which interval of time does the rock remain in the air?
O
t = 2
-2
0
t> 2
Answer:
For the time interval 0 to 2 the ball is in the air.
Select the options according to this.
Step-by-step explanation:
The equation should be [tex]h(t)=-16t^{2} -30t+124[/tex]
Let's find the x intercepts to answer this question.
To find x intercept where the h(t) is 0.
[tex]-16t^{2} -30t+124=0[/tex]
Solve the equation for t.
Use quadratic formula to solve the equation.
a=-16
b=-30
c=124
[tex]x=\frac{-b+/- \sqrt{b^{2}-4ac } }{2a}[/tex]
Plug in the values of a, b and c into the formula
[tex]x=\frac{30+/-\sqrt{(-30)^{2}-4(-16)(124) } }{2(-16)}[/tex]
Simplify it
[tex]x=\frac{30+/- \sqrt{900+7936} }{-32}[/tex]
[tex]x=\frac{30+/-\sqrt{8836} }{-32}[/tex]
[tex]x=\frac{30+/-94}{-32}[/tex]
Simplify it to get two values for x
[tex]x=\frac{30+94}{-32} =-3.875\\\\x=\frac{30-94}{-32} =2[/tex]
x can not be negative, here x represents time t.
So, it starts from 0 and remains in the air for 2 seconds.
Answer:
Yo itś C
Step-by-step explanation:
:-)
A baseball card collector has 225 plastic pages filled with a total of 3,375 cards.
Which rate represents the relationship between the cards and the number of pages?
15 cards per page
25 cards per page
15 pages per card
33 pages per card
Answer:
15 cards per page
Step-by-step explanation:
What is the area of the triangle?
Answer:
4
Step-by-step explanation:
The formula of the area of a triangle is 1/2 times base times height
1/2 .4.2 equals 4
a taxicab company charges $4.25 plus $.85 per mile. Mary Paid a fare of $12.50. Write and solve an equation to find the number of miles she traveled and describe the solution.
Pls help me!
ASAP!
PLEASE HELP Will give brainliest! Write the equation in y=mx+b form for the line on the graph. PLEASE
Answer:
y=-1.9x-1
Step-by-step explanation:
is 0.33 rational or irrational
Answer: rational
Step-by-step explanation:
0.33\overline{3} is a rational number because it is the result we get when we divide 1 by 3, or equivalently, because it is a solution to 1=3x.
Order 2/3, 2/9, 5/6, 11/18 from least to greatest.
Answer:
2/9, 2/3, 8/11, 5/6.
Anyone know how to do this??
Answer:
y = (-1/6)x - 1
Step-by-step explanation:
y = 6x - 2
find the reciprocal of 6 which is -1/6 then find the y-intercept (b)
y = (-1/6)x + b
-2 = (-1/6)(6) + b
-2 = -1 + b
+1 +1
-1 = b
Answer:
should be nigitive
Step-by-step explanation:
Y=mx+b
M- represents the slope and its constant
B- represents the y-intersect
does it pass through
Select the correct answer from each drop-down menu.
This image may be the result of the .
If m∠RQS is 75°, then m∠TPU is °. Select the correct answer from each drop-down menu.
Answer:
- construction of a line parallel to line AB through point P
∠TPU is 75°
Step-by-step explanation:
For Plato users
The image may be the result of the construction of a line parallel to line AB through point P
∠RQS is equal to ∠TPU;therefore, ∠TPU is also 75°
Answer:
below
Step-by-step explanation:
Got it right
Find the value of x in the equation below
13=x-18
Please help
Answer: x = 31
Step-by-step explanation: 13+18=31, so 31-18=13.
Answer:
x = 31
Step-by-step explanation:
-Get x alone
13 = x - 18
-add 18 to each side
x=31
Samantha wants to buy a bicycle for $129.99. If the sales tax is 6%, what is the total amount she will pay for the bicycle?
Answer:
About $137.79
Step-by-step explanation:
Hope this helps!
One-third of a number is 7. Find the number.
Answer:
21
Step-by-step explanation:
21/3 = 7
What is the correct symbol to compare the expressions?
Pls Answer
Answer:
b
Step-by-step explanation:\
when you have a nuber inside a I -7 I and a I -8 you forget about any sign and just take the number so 8 is greater then 7
Answer:
>
Step-by-step explanation:
|-8| = 8
|-7| = 7
8>7
Some equations have the form y=kxy=kx, where kk is a number.
Which equation CANNOT be written in the form y=kxy=kx?
Answer:
[tex]x = 4y[/tex]
Step-by-step explanation:
Given
[tex]y = kx[/tex]
See attachment for options.
Required
Determine which of the options answers the question
Analyzing the option one after the other:
[tex]\frac{x}{y} = 4[/tex]
Multiply through by y
[tex]y * \frac{x}{y} = 4 * y[/tex]
[tex]x = 4y[/tex]
Divide through by 4
[tex]\frac{x}{4} = \frac{4y}{4}[/tex]
[tex]\frac{x}{4} = y[/tex]
This can be rewritten as
[tex]y = \frac{x}{4}[/tex]
[tex]y = \frac{1}{4} x[/tex]
By comparison with [tex]y = kx[/tex]
we have:
[tex]y = y[/tex]
[tex]x = x[/tex]
[tex]k = \frac{1}{4}[/tex]
Hence: this answers the question.
haven't done expressions in a while so pls help :)
Answer:
3
Step-by-step explanation:
Subsitute -4 for m and 2 for p as given
( 4(2) - (-4) ) / 4
Double negatives make a positive.
( 4(2) + 4 ) / 4
Multiply inside parenthesis first
( 8 + 4 ) / 4
Add
12 / 4
3
Answer:3
Step-by-step explanation:
Subsitute -4 for m and 2 for p as given
( 4(2) - (-4) ) / 4
Double negatives make a positive.
( 4(2) + 4 ) / 4
Multiply inside parenthesis first
( 8 + 4 ) / 4
Add
12 / 4
3
(6.4 x 104) + (2.1 x 104
Answer:
884
Step-by-step explanation:
Answer:
884
Step-by-step explanation:
solve for 6.4x104 and add to 2.1x104
-5x+9=-3x+1 i dont understand it someone please help
Answer:
x=4
Step-by-step explanation: take (possative)3x and add it to -5x. -2x+9=1. subtract 9 from 1. -2x=-8. devide bolth sides by -2. a negative devided by a negative makes a possative soit equallls x=4
PLEASE PLEASE HELP!!!
Answer:
A. ??
Step-by-step explanation:
have a nice day and hope it helps
Jacob split the cost of snacks, which was $12.24, with two friends. Before they ate, another friend joined them and paid Jacob for his fourth of the cost.
How much does Jacob need to refund each of the other two friends so that everyone pays the same amount?
Answer:
3.06
Step-by-step explanation:
12.24/4
Answer:
4.08
Step-by-step explanation:
