All categories

3 years ago

HELP ME!!! Solve for X. Show all work to receive credit!

Mathematics

1 answer:

frez [133]3 years ago

3 0

Answer:

$x=9.5\ units$

Step-by-step explanation:

<u><em>The complete question is</em></u>

Segment BC is parallel to segment DE. Find the value of x

we know that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In his problem

Triangle ABC is similar to Triangle ADE by AA Similarity Theorem

$\frac{AB}{AD}=\frac{AC}{AE}$

substitute the given values

$\frac{x+3+x-2}{x-2}=\frac{5+3}{3}$

solve for x

$\frac{2x+1}{x-2}=\frac{8}{3}$

$6x+3=8x-16\\8x-6x=3+16\\2x=19\\x=9.5$

You might be interested in

What is the value of f(x) when x =0

kobusy [5.1K]

Answer:

-1, 2 and 4

Step-by-step explanation:

6 0

3 years ago

Solve the Method of variation of Parameters. y" - 3y' + 2y = 4e^3t

kirill [66]

Answer:

CF+PI= $c_1e^{2x}+c_2e^{x}$ + $2e^{3t}$

Step-by-step explanation:

we have given y"-3y'=2y= $4e^{3t}$

this differential equation solution have two part that CF and PI

CALCULATION OF CF :

$m^2-3m+2=0$

$m^2-2m-m+2=0$

$(m-1)(m-2)=0$

m=1 and m=2

so CF= $c_1e^{2x}+c_2e^{x}$

CALCULATION OF PI :

PI = $\frac{4e^{3t}}{(m-1)(m-2)}$

at m= 3 in PI

$PI=\frac{4e^{3t}}{2}=2e^{3t}$

so the complete solution is

CF+PI= $c_1e^{2x}+c_2e^{x}$ + $2e^{3t}$

7 0

3 years ago

Square of 1186.30/1000-1

HACTEHA [7]

1186.30/999=1.187
1.187*1.187=1.409

5 0

4 years ago

Bill weights 120 pounds and is gaining 10 pounds each month. Phil weights 150 pounds and is gaining 4 pounds each month. How man

Leviafan [203]

The answer should be 3 months

4 0

3 years ago

Read 2 more answers

A certain recipe calls for 2/3 cup of flour. A chef is making an amount that is 3/7 of the recipe. How much flour should the che

IceJOKER [234]

Multiply: 2/3*3/7=6/21 or 2/7
Answer: ==> 2/7<==

8 0

3 years ago

Read 2 more answers