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3 years ago

19. What is the sum of the measures of the exterior angles in a nonagon? Explain.

1 answer:

4 0

Answer: 360°.

Explanation.

The sum of the measures of the exterior angles of any simple polygon is 360°. That is true for triangles, rectangles, pentagons, hexagons, a so on, any polygon including, of course, the nonagon.

You can verify this if you draw the nonagon with its 9 exterior angles. You can realize that you may translate every angle to one common vertex and that the sum of all angles is equal to a complete turn around the vertex. Of course, you know that a complete turn is an agle of 360°.

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Step-by-step explanation:

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3 years ago

In the diagram abc=adb=90, ad=p and dc=q. Use similar triangles to show that x2=pz<br> plzz anyoneee

kramer

Answer:

By comparing the ratios of sides in similar triangles ΔABC and ΔADB,we can say that $x^{2} =pz$

Step-by-step explanation:

Given that ∠ABC=∠ADC, AD=p and DC=q.

Let us take compare Δ ABC and Δ ADB in the attached file , ∠A is common in both triangles

and given ∠ABC=∠ADB=90°

Hence using AA postulate, ΔABC ≈ ΔADB.

Now we will equate respective side ratios in both triangles.

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Cross multiply

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4 years ago

A line through the origin has a slope of 1 / 3. Carlos thinks the slope of a perpendicular line at the origin will be 3.

OLEGan [10]

Answer:

Carlos is incorrect.

Step-by-step explanation:

We have been given that a line through the origin has a slope of $\frac{1}{3}$ . Carlos thinks the slope of a perpendicular line at the origin will be 3.

We know that the slope of a perpendicular line to a given line is always negative reciprocal of the slope of the given line.

The slope of the perpendicular line at the origin will be negative reciprocal of $\frac{1}{3}$ .

Let us find negative reciprocal of $\frac{1}{3}$ as:

$-\frac{1}{\frac{1}{3}}=-\frac{1\cdot 3}{1}=-3$

Since the slope of a perpendicular line at the origin is $-3$ , therefore, Carlos is incorrect.

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3 years ago