Help<br>look at the picture

Geometry question, need help!

Anna35 [415]

Answer:

x = 7.5

Step-by-step explanation:

We first labelled the diagram we get

DC = 8

AD = 10

CE = 6

BE = x

∴ AC =AD + DC = 18

∴ BC = BE + ED = x + 6

To Find :

BE = x =?

Solution:

Let DE || AC

In Δ ABC and Δ DEC

∠A ≅ ∠D …………..{corresponding angles ∵ DE || AB }

∠B ≅ ∠E ..............{corresponding angles ∵ DE || AB }

∠C ≅ ∠C ……….....{Reflexive Property}

Δ ABC ~ Δ DEC ….{Angle-Angle-Angle Similarity test}

If two triangles are similar then their sites are in proportion.

$\frac{AB}{DE} =\frac{BC}{EC} =\frac{AC}{CD}\ \textrm{corresponding sides of similar triangles are in proportion}\\$

On substituting the given values we get

∴ $\frac{8}{18} = \frac{6}{6+x} \\\\8(6+x) = 6\times 18\\\\\textrm{using distributive property we get}\\48+8x=108\\8x=108-48\\x=\frac{60}{8}\\ \\x=7.5\\\\\therefore x =7.5$

4 0

4 years ago

What is the solution to the equation below?

12345 [234]

Answer:

C x=6

Step-by-step explanation:

sqrt(x+3) = x-3

Square each side

(sqrt(x+3))^2 = (x-3)^2

x+3 = (x-3)^2

x+3 = (x-3)(x-3)

FOIL

x+3 = x^2 -3x-3x+9

Combine like terms

x+3 = x^2 -6x+9

Subtract x from each side

x-x+3 = x^2 -6x-x +9

3 = x^2 -7x +9

Subtract 3 from each side

3-3 = x^2 -7x +9-3

0 = x^2 -7x+6

Factor

0 = (x-6)(x-1)

Using the zero product property

x-6=0 x-1 =0

x=6 x=1

Since we squared we need to check for extraneous solutions

x=1

sqrt(1+3) = 1-3

sqrt(4) = -2

2=-2

False

Extraneous

x=6

sqrt(6+3) = 6-3

sqrt(9) = 3

3=3

True solutions

5 0

3 years ago

Read 2 more answers

Easy Multiple Choice Questions about expressions and linear equations / ASAP / Will mark brainliest / 25 Points

nata0808 [166]

Answer:

1.C

2.A

3.D

4.C

5.B

6.A

7.B

8.C

9.A

10. D

Step-by-step explanation:

For Problem 1, the work is as follows:

$2(3x-1)+x\\Distribute\\6x-2+x\\7x-2$

For Problem 2, the work is as follows:

$(3x^{2} +6x+4) - (-x^{2} +2x-1)\\Distribute -\\(3x^{2} +6x+4) + (x^{2} -2x+1)\\Combine\\4x^{2} +4x+5$

For Problem 3, the work is as follows:

$5b-(a+c)^{2} \\5(3) - (-1+-4)^{2} \\15 - (-5)^{2} \\15-25\\-10$

For Problem 4, the work is as follows:

$4x-8 = -12\\+8\\4x = -4\\-4/4 = -1\\x = -1$

For Problem 5, the work is as follows:

$\frac{1}{2} (12x-6) = 2x-15\\Distribute\\\\6x - 3 = 2x -15\\+3\\6x = 2x -12\\-2x\\4x = -12\\-12/4\\x = -3$

For Problem 6, the work is as follows:

$17 *0.06 = 1.02\\17+1.02 = 18.02$

For Problem 7, the work is as follows:

$x = (2,0)\\y = (0,-1)\\\frac{rise}{run} \\y = \frac{1}{2} x-1$

For Problem 8, the work is as follows:

$y_{2} -y_{1} \\x_{2} -x_{1} \\-1-1 = -2\\0-(-2) = 2\\Slope = -1$

For Problem 9, the work is as follows:

$3y - 2x +6 = 0\\-3y\\(-3y - -2x+6)/-3\\y = \frac{2}{3} x -2$

For Problem 10, the work is as follows:

$(y-3) = -2(x-1)\\Distribute\\(y-3) = -2x+2\\+3\\y = -2x +5$

Hope this Helps!

4 0

3 years ago

Dreya is saving money to purchase a $900 computer, and she saves $10 the first week. Each week after that, she saves $3 more tha

Margaret [11]

The final week is week 23 at $41

7 0

3 years ago

Solve the exponential equation<br> 9^2x = 27

krek1111 [17]

27 = 9^(3/2)
.
so x = 4/3

4 0

4 years ago

Read 2 more answers

Helplook at the picture ​

Helplook at the picture