What is the value of x. In circle a bae = dae

2 answers:

3 0

Check the link this will show the picture for this question. it does not contain the answer it contains the full question. hope that helps.

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Vlada [557]3 years ago

3 0

Answer:

x = 17 is the answer.

Step-by-step explanation:

In the given question ΔABE and ΔADE have been given where ∠BAE ≅ ∠EAD (central angles formed by chords BE and ED) and AB = AE = AD (Radii of the circle)

We have to find the value of x.

Since ∠BAE ≅ ∠EAD and AB = AE = AD are completing the property (SAS) of the congruence of two triangles Δ BAE ≅ ΔEAD

Therefore BE/ED = AB/AD

(3x-24)/(x + 10) = r/r = 1/1

(3x - 24) = (x + 10)

3x - x = 24 + 10

2x = 34

x = 34/2 = 17

Answer is x = 17

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General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Midpoint Formula: $\displaystyle (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Step-by-step explanation:

Step 1: Define

Point (2, 9)

Point (8, 1)

Step 2: Identify

(2, 9) → x₁ = 2, y₁ = 9

(8, 1) → x₂ = 8, y₂ = 1

Step 3: Find Midpoint

Simply plug in your coordinates into the midpoint formula to find midpoint

Substitute in points [Midpoint Formula]: $\displaystyle (\frac{2+8}{2},\frac{9+1}{2})$
[Fractions] Add: $\displaystyle (\frac{10}{2},\frac{10}{2})$
[Fractions] Divide: $\displaystyle (5,5)$