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3 years ago

Solve for x x= ?? Hlp pls

Mathematics

2 answers:

zloy xaker [14]3 years ago

7 0

Answer:

x = 2.2

Step-by-step explanation:

From the figure, we see that

Δ ABC

is similar to

Δ ADE

So we can say that the corresponding sides are proportional (ratio is equal).

From the similarity statement, we can say:

AB corresponds to AD

BC corresponds to DE

AB = 10

AD = 10 + 1 = 11

BC = 2

DE = x

Now, we can write ratios and solve:

$\frac{AB}{BC}=\frac{AD}{DE}\\\frac{10}{2}=\frac{11}{x}\\10x=2*11\\10x=22\\x=\frac{22}{10}\\x=2.2$

The value of x is 2.2

Helga [31]3 years ago

6 0

Answer:

x = 2.2

Step-by-step explanation:

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valentinak56 [21]

Firstly, we will draw diagram of the scenario

Dana reflects point A(2,5) across line small script letter lℓ to get image point Upper A primeA′(6,1)

It means that AA' is perpendicular bisects of line(l)

so, let's assume it intersects at point M

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now, we will find slope of line on AA'

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maxonik [38]

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Find Four Numbers that form a geometric progression such that the second term is less than the first by 35, and the third term i

Olegator [25]

Answer:

-35/3, -140/3, - 560/3, -2240/3
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Step-by-step explanation:

The terms are:

a₁, a₂, a₃, a₄

Given:

a₁ = a₂ + 35
a₃ = a₄ + 560

Use the nth term formula:

a₂ = a₁r
a₃ = a₁r²
a₄ = a₁r³

Substitute:

a₁ = a₁r + 35 ⇒ a₁(1 - r) = 35
a₁r² = a₁r³ + 560 ⇒ a₁(1 - r)r² = 560

Divide the second equation by the first:

r² = 560/35
r² = 16
r = √16
r = ± 4

Use the first equation to find the first term:

a₁( 1 ± 4) = 35
1. a₁ = 35/-3 = -35/3
2. a₁ = 35/5 = 7

We have two sequences:

r = 4

-35/3, -140/3, - 560/3, -2240/3

r = -4

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