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2 years ago

Solve for x. PLEASE HELP ASAP

Mathematics

1 answer:

Paha777 [63]2 years ago

7 0

Answer:

x = 6

Step-by-step explanation:

the tangent- tangent angle UVW is half the difference of the intercepted arcs, that is

∠ UVW = $\frac{1}{2}$ (UW - WU ) , then

5x + 17 = $\frac{1}{2}$ (37x + 5 - (23x - 5) ) ← multiply both sides by 2

10x + 34 = 37x + 5 - 23x + 5

10x + 34 = 14x + 10 ( subtract 14x from both sides )

- 4x + 34 = 10 ( subtract 34 from both sides )

- 4x = - 24 ( divide both sides by - 4 )

x = 6

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3 years ago

Find the distance between the two points S (-5,-2) and T (-3,4).

icang [17]

Answer:

$d =2 \sqrt{10}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra II

Distance Formula: $d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

S (-5, -2)

T (-3, 4)

Step 2: Find distance d

Substitute: $d = \sqrt{(-3+5)^2+(4+2)^2}$
Add: $d = \sqrt{(2)^2+(6)^2}$
Evaluate: $d = \sqrt{4+36}$
Add: $d = \sqrt{40}$
Simplify: $d =2 \sqrt{10}$

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