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3 years ago

Given the following diagram, find the missing measure.

Mathematics

2 answers:

Alexxandr [17]3 years ago

7 0

The answer is 130 degrees and this is why:

The sum of the interior measures of all triangle is equal to 180 degrees. Since side PM is perpendicular to side MO, it forms a right angle, or 90 degree angle, so that gives you the measure of one of the interior angles. The problem also gives you the measure of another interior angle, P, as 40.

So you add the two angle measures to get 130 degrees. Subtract that number from 180 to get the measure of angle 2, which is 50. Because angle 2 and 1 are supplementary, their angles add up to 180. Subtract the measure of angle 2, 50, from 180 to get the measure of angle 1, which is 130.

Hope this helps!

Citrus2011 [14]3 years ago

4 0

Answer:

The answer is actually 130

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Michael wrote all the number s from 3 to (n+5). How many numbers did Michael write.

Vitek1552 [10]

Answer:

$n-1$

Step-by-step explanation:

The amount of integers between $a$ and $b$ inclusive is always $|a-b|-1$ .

This means the amount of integers Michael wrote is $|(3)-(n+5)|-1=|-2-n|-1=|n+2|-1$ . Because $n+5>=3$ , which gives $n>=-2$ , $n+2$ is always non-negative. So, we can kick out the absolute value sign to get $n+2-1=n-1$ .

So, he wrote $\boxed{n-1}$ integers and we're done!

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3 years ago

In the figure shown, triangle RST undergoes reflections across two line. R''S''T’’ is the final image of RST

soldi70 [24.7K]

<h3>Answer: D. y = -x</h3>

======================================================

Explanation:

Point T is at (-2,1)

When we reflect it over the line x = 0, aka the y axis, we use the rule $(x,y) \to (-x,y)$ so T(-2,1) becomes T ' (2, 1). The x coordinate flipped in sign, while the y coordinate stays the same.

Then the final transformation is reflecting over y = -x using the rule $(x,y) \to (-y, -x)$ . Therefore, the point (2,1) moves to (-1, -2) which is where T'' is located in the diagram.

You apply the same two transformations for the points R and S to get R'' and S'' respectively.

Note: A composition of two reflections, where the lines of reflection aren't parallel, form a rotation. In this case, we have a 90 degree counterclockwise rotation when going from triangle RST to triangle R''S''T''.

4 0

3 years ago

Keith is going on a job interview and has to decide what to wear. He needs to decide between a black suit and a blue suit.... bl

hram777 [196]

Step-by-step explanation:

2x2x2=8

He can wear 8 different outfits, I got this answer by using the sample space method which I prefer over the tree diagram since I believe it takes up less time.

hope I helped :)

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3 years ago

Question 3 -

mario62 [17]

No, because for example 2+2 is 4 but if you mean -2+2 that is 0

Hope this is helpful

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3 years ago

Is 600 mm greater than 5 m

sladkih [1.3K]

No, 600 mm is less that 5 m

1 meter = 1000 millimeters

That means that to find out how many millimeters are in 5 m, one way you could calculate it is by multiplying 5 by 1000

5 • 1000 = 5000, so 5 m = 5000. Since 600 < 5000, 600 mm < 5 m

6 0

3 years ago

Read 2 more answers