1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Elodia [21]
3 years ago
5

In the similar triangles below, solve for the value of X.

Mathematics
2 answers:
Angelina_Jolie [31]3 years ago
3 0

9514 1404 393

Answer:

  x = 8

Step-by-step explanation:

Corresponding segments are proportional.

  (3x +1)/10 = (7x -1)/22

  11(3x +1) = 5(7x -1) . . . . . . multiply by 110

  33x + 11 = 35x -5 . . . . . . eliminate parentheses

  16 = 2x . . . . . . . . . . . add 5-33x to both sides

  8 = x . . . . . . . . . . divide by 2

Yuri [45]3 years ago
3 0

Answer:

<h2> <u>Solution</u><u> </u><u>:</u><u>-</u></h2>

\sf \bull \large \:  \dfrac{3x +  1}{10}  =  \dfrac{7x - 1}{22}

On cross multiplication

\large \tt \: 22(3x + 1) = 10(7x - 1)

\large \tt \: 66x + 22 = 70x - 10

\large \tt \: 70x - 66x = 22 - 10

\large \tt \: 4x = 12

\large \tt \: x = 3

You might be interested in
Write an equation of the line that passes through (18, 2) and is parallel to the line 3y−x=−12
miskamm [114]

keeping in mind that parallel lines have the same exact slope, hmmmm what's the slope of the line above anyway?

\bf 3y-x=-12\implies 3y=x-12\implies y=\cfrac{x-12}{3}\implies y = \cfrac{x}{3}-\cfrac{12}{3} \\\\\\ y = \stackrel{\stackrel{m}{\downarrow }}{\cfrac{1}{3}}x-4\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}

so we're really looking for the equation of a line whose slope is 1/3 and runs through (18,2)

\bf (\stackrel{x_1}{18}~,~\stackrel{y_1}{2})~\hspace{10em} \stackrel{slope}{m}\implies \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{2}=\stackrel{m}{\cfrac{1}{3}}(x-\stackrel{x_1}{18}) \\\\\\ y-2=\cfrac{1}{3}x-6\implies y=\cfrac{1}{3}x-4

3 0
3 years ago
A sequence is constructed according to the following rule: its first term is 7, and each next term is one more than the sum of t
Iteru [2.4K]

Answer:

5

Step-by-step explanation:

According to the described rule, we have

a_1=7\\ \\a_1^2=7^2=49\Rightarrow a_2=4+9+1=14\\ \\a_2^2=14^2=196\Rightarrow a_3=1+9+6+1=17\\ \\a_3^2=17^2=289\Rightarrow a_4=2+8+9+1=20\\ \\a_4^2=20^2=400\Rightarrow a_5=4+0+0+1=5\\ \\a_5^2=5^2=25\Rightarrow a_6=2+5+1=8\\ \\a_6^2=8^2=64\Rightarrow a_7=6+4+1=11\\ \\a_7^2=11^2=121\Rightarrow a_8=1+2+1+1=5\\ \\\text{and so on...}

We can see the pattern

a_5=a_8=a_{11}=a_{14}=...=5\\ \\a_6=a_9=a_{12}=a_{15}=...=8\\ \\a_7=a_{10}=a_{13}=a_{16}=...=11

In other words, for all k\ge 2

a_{3k-1}=5\\ \\a_{3k}=8\\ \\a_{3k+1}=11

Now,

a_{2018}=a_{3\cdot 673-1}=5

7 0
3 years ago
Can someone help me ?
V125BC [204]
10/3 x 5 + 10/3 x 1/4
5 0
3 years ago
Two fractions equivalent to 5/4
Eduardwww [97]

Answer:

10/8, 20/16

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
How do you do 137 ÷ 7 in a area model
aliya0001 [1]
Hey,

If you were to divide 137/7 it would be it would be 19 or if you wont a decimal it would be 19.5

I Hoped that Helped 
8 0
3 years ago
Read 2 more answers
Other questions:
  • Roberto will save 1/6 of his allowance each day.If he gets $2.00 a day, about how much money will he save each day?Round your an
    9·2 answers
  • Whats a open equation?
    9·1 answer
  • Solve for the indicated variable
    11·1 answer
  • Write the equation in standard form. Then factor the left side of the equation 2x2=28-X
    5·1 answer
  • Graph this equation: y-3=1/2(x+2).
    14·1 answer
  • How to write 0.924 in two other forms
    6·1 answer
  • Need help with 3 and 4
    14·2 answers
  • HELP WILL MARK YOU BRAINLIEST JUST GIVE THE ANSWER NO EXPLANATION!!! NO GUESSes!!!
    9·1 answer
  • 2h - 3.24 = -1.1 ya'll smart ya'll got dis :)
    8·2 answers
  • Can someone help me plz
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!