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andrezito [222]
4 years ago
6

The measures of all of the interior angles of a triangle are in the extended ratio 1 : 2 : 3. The value of the smallest angle is

Mathematics
1 answer:
jarptica [38.1K]4 years ago
7 0
The sum of the interior angles of a triangle is 180°.

Let's suppose that all 3 angles in the ratio are divisible by a value x.

So the three angles become 1x, 2x and 3x.

1x + 2x + 3x = 180°

6x = 180°

x = 30° [ By dividing both sides by 6 ]

Thus the three angles are: 1x = 30° ; 2x = 2*30 = 60° ; 3x = 3*x = 90°

Hence the smallest angle is 30°.
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7 0
3 years ago
What is the surface area of 2cm, 5cm, and 2cm
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6 0
3 years ago
Help I’ll give you 30 points
Gnesinka [82]

Answer:

a) 16.25 centimeters

b) 6.8 centimeters

Step-by-step explanation:

We can set up a proportion for both of these problems.

a) Look at the longest side of each triangle. We can set up a fraction: 7.2/18. We can also set up a fraction for XZ and PR:

6.5/x

x represents the length you're trying to find.

Since the triangles are similar, we have an equation:

7.2/18=6.5/x

Cross multiply

16.25

XZ is 16.25 centimeters long.

b)

We can do same thing:

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Cross multiply

6.8

QR is 6.8 centimeters long.

Hope this helps!

6 0
3 years ago
Read 2 more answers
Which of the following points could be added to the graph f(x)=-|x+3| to keep the graph a function?
sasho [114]

None of the points could be added to the graph f(x)=-|x+3| to keep the graph a function

<h3>How to determine the point?</h3>

The equation of the function is given as:

f(x) = - |x + 3|

The points are given as:

(0, 3) and (-3, -6)

When x = 0, we have:

f(0) = - |0 + 3|

f(0) = -3 --- different y value from (0, 3)

When x = -3, we have:

f(-3) = - |-3 + 3|

f(-3) = 0 --- different y value from (-3, -6)

This means that the x values point to different y values (this does not represent a function)

Hence, none of the points could be added to the graph f(x)=-|x+3| to keep the graph a function

Read more about functions and relations at:

brainly.com/question/2328150

#SPJ1

6 0
2 years ago
Use the diagram to answer the questions below.
PtichkaEL [24]
The answer is E hope this helps
5 0
3 years ago
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