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3 years ago

Find the distance between A(-2,3) and B(11,-15)

Mathematics

1 answer:

WITCHER [35]3 years ago

6 0

U need to draw the orthonormal system to indicate

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Which of the following is the correct classification of ∆mnp if m<m=35° and m<p=47°?

AnnZ [28]

Answer:

D. Obtuse.

Step-by-step explanation:

We are told that in $\Delta MNP$ $m\angle M=35^o$ and $m\angle P=47^o$ . We are asked to classify our given $\Delta MNP$ .

We can see that angle M and angle P are acute angles as their measure is less than 90 degrees.

Let us find the measure of angle P using angle sum property of triangles, which states that sum of interior angles of a triangle is 180 degrees.

So we can set an equation as:

$m\angle M+m\angle P+m\angle N=180^o$

Upon substituting our given values we will get,

$35^o+47^o+m\angle N=180^o$

$82^o+m\angle N=180^o$

$82^o-82^o+m\angle N=180^o-82^o$

$m\angle N=98^o$

As measure of angle N is 98 degrees, so angle N is an obtuse angle.

Since a triangle having an angle that measures more than 90 degrees is called an obtuse triangle, therefore, $\Delta MNP$ is an obtuse triangle and option D is the correct choice.

4 0

3 years ago

Read 2 more answers

Which statement is not true about the patter shown?

brilliants [131]

Answer:

Each fraction is greater than the previous fraction.

Step-by-step explanation:

Every statement is true except, the one that says "Each fracton is greater than the previous fraction." This statement is not true. I know it looks like it, but let's think about it. Each fraction is equivalent to 2/3, which means they are technically equal to each other. So that means that each fraction is not greater than the previous one. This means that the statement "Each fraction is equal to the previous fraction in the pattern multiplied by 2/2" is a true statement.

2/3 x 2/2 = 4/6

4/6 x 2/2 = 8/12

8/12 x 2/2 = 16/24

16/24 x 2/2 = 32/48

So that means that the next fraction in the pattern is indeed 32/48, making the last statement true.

3 0

3 years ago

Determine if the statement is always, sometimes or never true. There are 250 degrees in the sum of the interior angles of a poly

stiv31 [10]

I feel like the answer is sometimes

5 0

3 years ago

liz asked charlie to pick up her up a cup of frozen yogurt. she asked for I need to toppings from the six: chocolate chips, gran

Afina-wow [57]

Step-by-step explanation:

Total toppings = 6

Probability of chocolate chips = 1/6

Probability of raspberries = 1/6

And if both together then

Probability = 2/6 = 1/3

3 0

3 years ago

There are 6 sixth graders , 7 seventh graders , and 8 eight graders entered in a contest.

fgiga [73]

Answer:

See below ~

Step-by-step explanation:

P (6th grader)

No. of 6th graders / Total students
6 / 6 + 7 + 8
6/21
2/7

P (6th grader after)

No. of 6th graders - 1 / Total students - 1
6 - 1 / 21 - 1
5/20
1/4

Question 1 : P (Both 6th graders)

P = P (6th grader) × P (6th grader after)
P = 2/7 x 1/4 = 2/28 = 1/14

Question 2 : P' (Both 6th graders)

P' = 1 - P
P' = 1 - 1/14
P' = 13/14

4 0

2 years ago

Read 2 more answers