If l, m, and n are parallel, solve for x. Type in numerical values only, do not type in x=
Answers
Answer:
x = 11
Step-by-step explanation:
According to proportionality theorem, the transversal is divided proportionally as it cuts across parallel lines l, m, and n.
Therefore:
[tex] \frac{12.8}{x + 5} = \frac{x - 3}{10} [/tex]
Cross multiply
[tex] (12.8)(10) = (x + 5)(x - 3) [/tex]
[tex] 128 = x^2 - 3x + 5x - 15 [/tex]
[tex] 128 = x^2 + 2x - 15 [/tex]
[tex] 0 = x^2 + 2x - 15 - 128 [/tex]
[tex] 0 = x^2 + 2x - 143 [/tex]
Factorise:
[tex] 0 = x^2 - 11x + 13x - 143 [/tex]
[tex] 0 = x(x - 11) +13(x - 11) [/tex]
[tex] 0 = (x - 11)(x + 13) [/tex]
x = 11 or x = -13
We'd take the positive value.
Therefore, the value of x is 11.
Related Questions
How do I find the missing sides in this triangle?
Answers
Answer:
This is a 30-60-90 triangle so you would do this formula:
Short side (opposite the 30 degree angle) = x.
Hypotenuse (opposite the 90 degree angle) = 2x.
Long side (opposite the 60 degree angle) = x√3.
Step-by-step explanation:
Which graph has figures that can undergo a similarity transformation to justify that they are similar? On a coordinate plane, a small square and a rectangle are shown. On a coordinate plane, 2 rectangles are shown. The smaller rectangle is 1 unit smaller than the larger rectangle on all sides. On a coordinate plane, 2 rectangles are shown. The smaller rectangle is 1 unit smaller on the left and top sides than the larger rectangle. On a coordinate plane, 2 rectangles are shown. The smaller rectangle is 3 units smaller on the left side and 1 unit smaller on the top than the larger rectangle.
Answers
Answer:
I think it is the second graph.
Step-by-step explanation:
Answer:
its the second graph.
Step-by-step explanation:
What slope is perpendicular to:
m = 5/8
Answers
The slope that is perpendicular to m = 5/8 is given by; m' = -8/5
When dealing with slope - intercept form of equation of a line, the general equation is;y = mx + c
where;
m is the slope
c is the y-intercept
Now, for a line to be perpendicular to a line above that has it's slope as m, the slope of this new line will be the negative inverse of the first slope. This is; m' = -1/mApplying that to our question, it means the slope that is perpendicular to m = 5/8 is; m' = -1/(5/8) = -8/5Read more at; https://brainly.com/question/21441448
8.08 x 10^6 x 7.5 x 10-2
Answers
Answer:
=
5
2
Step-by-step explanation:
Given the function below, find f(7) f(x)=-x^2+9x
Answers
Answer:
14
f(x) = 7
-7^2 + 9(7)= -49 + 63 = 14
help pleaseseee
what’s the answer
Answers
Answer:
nice
Step-by-step explanation:
Answer:
115
Step-by-step explanation:
I think 115 because The angles are 50, 65, 65. So just subtract 65 from 180 to get your answer. Or just add 50 and 65 to get your answer.
Was this helpful??
Can someone please help me with this question on my homework?
Answers
Answer:
The answer to the question provided is 24.
(I dont know how to explain it)
please fill in the blanks i need this
Answers
Answer:
110
242
Step-by-step explanation:
To get the amount for Number of ships 5. you do 5*22.
Same for the the #11. you do 11*22.
Also, Pick me as the smartest please.16 Which expression is represented by the model shown below?
Answers
Ten less than seven times a number is twenty three.
Answers
Answer:
I believe the number is 4.7
Which of the following statements is incorrect?
WILL GIVE BRAINLIEST ANSWER IF ITS CORRECT! HURRY HURRY :D
Answers
A closed circle on the number line indicates the bondary point is included in the solution set. Ture False
Answers
Answer:
A closed circle on the number line indicates that the boundary point is included in the solution set
Step-by-step explanation:
I think that can help :) wanna chat add me as frind
which one is 25%? please help me
Answers
So first of all you count all the blocks, so it will be 16 blocks (4x4) sideways and horizontal.
A = 16/4 marked blocks = 25%
B = 16/8 marked blocks = 50%
C = 16/6 marked blocks = ?
D = 16/10 marked blocks = 62,5%
So answer would be A
A person can pay $9 for a membership to the history museum and then go to the museum for just $1 per visit. For a member of the history museum, what is the total cost of 23 visits?
Answers
Answer:
$32Step-by-step explanation:
Step one:
Given that membership is $9 and the cost per visit is $1
let the number of visits be x
and the total cost be y
the total cost for the situation is modeled as
y=mx+c-----equation of a line
Step two:
given that x=23, we can solve for the totals cost as
by substituting we have
y=1*23+9
y=23+9
y=32
The total cost for 23 visits is $32
.01xn=3.792
please help me
Answers
N=379.2/x
I hope that helps
Compare using >, <, or =.
a. 2 tenths + 11 hundredths O 0.13
Answers
Answer:
2 Tenths > 11 Hundredths
2 Tenths Is Greater Than 11 Hundredths
2 Tenths + 11 Hundredths = 0.31
Use a property of exponents to simplify. 3Use as the base.
Answers
Answer:
3^4 because when u divide exponents w same base just subtract the exponents
Step-by-step explanation:
What is the slope? I know the y intercept is 4 but I’m having trouble with M
Please help ASAP :,)
Answers
Answer:
2
Step-by-step explanation:
From pt to pt is goes up 2 and 1 to the right
2/1=2
A restaurant bill is $25, and a 20 percent tip should be given to the waiter. Which expression can be used to find the total amount that will be paid?
25 dollars times 0.02
25 dollars times 0.20
25 dollars times 1.20
25 dollars times 2.00
Answers
Answer:
B.) 25 dollars times 0.20
Step-by-step explanation:
0.20 = 20%.
Answer: Cost= 25 +0.2*25
Step-by-step explanation:
1/4 as a percent. Why can't I figure this out I have no idea. Please help me out here. Thank you
Answers
Answer: 25%
Step-by-step explanation:
1/4 as a percentage is 25%
Answer:
25%
Step-by-step explanation:
an easy way to figure this out is by remembering that 4 quarters make a dollar each quarter is 25 cents so 1/4=25%
hope this helps :3
if it did pls mark brainliest
Mr. Baugh is a car salesman. He is paid a salary of $1800 per month plus $600 for each car that he sells. Find the slope and the y-intercept then write a linear equation that describes the relationship between the number of cars sold x and the monthly salary y. If Mr. Baugh sells 5 cars, how much money will he make for the month?
Answers
Answer:
he will make $4800 for that month
Step-by-step explanation:
ILL MARK U BRAINLIEST!!
Answers
Answer:
Wassup wat u need
Step-by-step explanation:
Answer:
You look hot show me more
Step-by-step explanation:
The graph below shows the relationship between the number of hours and the
number of miles jogged.
Y
16
15
14
13
12
11
10
9
Miles
8
3
2
2
3
5
6
Hours
Based on the information in the graph, what is the unit rate in miles per hour?
Answers
Answer:
2.5
Step-by-step explanation:
How do I find the missing sides on this special triangle?
Answers
Answer:
x = 6
y = [tex]3\sqrt{2}[/tex]
Step-by-step explanation:
Thats a 45 45 90 triangle, one of my favorite and you'll come to miss it later because of how easy it is.
See the file provided for the trick
Because [tex]3\sqrt{2}[/tex] falls where a 1 is in the diagram that means y is also [tex]3\sqrt{2}[/tex] because you multiply [tex]3\sqrt{2}[/tex] by 1, and to get x you'll multiply the value we're given, [tex]3\sqrt{2}[/tex], by the value in the spot in the given diagram, [tex]\sqrt{2}[/tex].
[tex]3\sqrt{2}[/tex] ×[tex]\sqrt{2}[/tex]
Note; a radical multiplied by itself is the value in the radical
Therefore,
[tex]3\sqrt{2}[/tex] ×[tex]\sqrt{2}[/tex] = 3(2) = 6
Thus x = 6
The explanation for this;
[tex]\sqrt{2}[/tex] * [tex]\sqrt{2}[/tex] = [tex]\sqrt{2}^2[/tex]
And if you square a square root you have its square root times its square root squared, which if it was [tex]\sqrt{4}^2[/tex] it'd ultimately be [tex](2)^2[/tex] which is 2x2 which equals 4
Hope this helps
Round your answer to the nearest tenth of a degree.
Answers
Answer:
136.5
multiply 21 X 13 then divide by 2
Can someone help show work pls?
Answers
Answer:
569
Step-by-step explanation:
hope it will help you
(14-7×7)16
(14-49)16
(-35)16
-560
Simplify the following expression (87x + 63y) - (6x + 32y)
Answers
Answer: 81x + 31y
Step-by-step explanation:
Estimate the quotient using compatible numbers.
3,512 ÷ 9
30
400
300
40
Answers
Answer:
400. just use simple devision and it'll tell you.
?
(4 - 7) to the 2nd power -6 x 7 + 20
Answers
In triangle DEF, segment DJ is a perpendicular bisector of side EF. If EJ is 3y-8 and JF is 7y-40, what is the length of JF?
Answers
Answer: The length of JF = 16 units.
Step-by-step explanation:
Given: In triangle DEF, segment DJ is a perpendicular bisector of side EF.
i.e. DJ is perpendicular to EF and DJ divides EF into two equal parts EJ and JF. [The perpendicular bisector is a line that is perpendicular to a line segment and splits it into two congruent segments.]
If EJ is 3y-8 and JF is 7y-40.
Then, [tex]3y-8=7y-40[/tex]
[tex]\Rightarrow\ 7y-3y=40-8\\\\\Rightarrow\ 4y=32\\\\\Rightarrow\ y=8 \text{ [Divide both sides by 4]}[/tex]
JF= 7(8)-40 =56-40= 16 units
Hence, the length of JF = 16 units.
Answer:
plz giv brainlist
Step-by-step explanation:
