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2 years ago

1. What is the value of x? 19 31 38 62

Mathematics

2 answers:

erma4kov [3.2K]2 years ago

8 0

Answer: The value of 'x' is 31.

Step-by-step explanation: As shown in the modified attached figure, AC and BD are two intersecting chords, where ∠CBD = x° and ∠CAD = 31°.

We are to find the value of 'x'.

The measures of the angles on the circumference of a circle subtended by the same chord (arc) are equal.

In the attached figure, ∠CBD and ∠CAD are angles subtended at the circumference of the circle by the same arc CD.

Therefore, we must have

$\angle CBD=\angle CAD\\\\\Rightarrow x^\circ=31^\circ.$

Therefore, the value of 'x' is 31.

Thus, (B) is the correct option.

Lera25 [3.4K]2 years ago

7 0

I hope this helps you

31 and x looking same arc

x=31

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EXPLANATION

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Step 2: Substitute the given data into the formula in step 1

$\begin{gathered} \text{ Perimeter = 2 \lparen l + w\rparen} \\ \text{ Perimeter = 372 yards} \\ \text{ width = 87 yards} \\ \text{ 372 = 2\lparen l + 87\rparen} \\ \text{ Divide both sides by 2} \\ \text{ }\frac{372}{2}\text{ = }\frac{2}{2}(l\text{ + 87\rparen} \\ 186\text{ = l + 87} \\ \text{ subtract 87 from each sides of the equation} \\ \text{ 186 - 87 = l + 87 - 87} \\ \text{ 99 = l} \\ l\text{ = 99 yards} \end{gathered}$

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