Is the triangle with the side lengths 5,12,13 right, obtuse, or acute? Why?

Mathematics

1 answer:

Art [367]3 years ago

5 0

Acute because it is not large enough to be an obtuse or not perfect to be a rught

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Plz help me out with this

nadya68 [22]

Given,

HK is the perpendicular bisector of GJ. So, GK = KJ.
GK = 2x + 10
KJ = 3x - 15

_______________

Find KJ .

_______________

First find the value of x

$\sf \: GK \: = KJ \\\sf 2x + 10 = 3x - 15 \\\sf 2x - 3x = - 15 - 10 \\ \sf - x = - 25 \\ \sf \: - > \boxed{\bf \: x = 25}$

Now, find the value of KJ.

$\sf3x - 15 \\ \sf= 3(25) - 15 \\ \sf=7 5 - 15 \\ = \boxed{\bf \: 60}$

-> The value of KJ is 60.

_______________

Hope it helps.

RainbowSalt2222

6 0

3 years ago

Read 2 more answers

Write the equation of a circle with center M(2,6) and a radius of 4

ycow [4]

Answer:

(x -2)^2 + (y-6)^2 = 16

Step-by-step explanation:

The equation of a circle is of the form

(x-h)^2 + (y-k)^2 = r^2

where (h,k) is the center and r is the radius

(x- 2)^2 + (y-6)^2 = 4^2

(x -2)^2 + (y-6)^2 = 16

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3 years ago

Sam kept track of the number of problems he was assigned for his math homework on the box plot.

yulyashka [42]

Answer:

Statement A is correct about Sam's box and whisker plot.

Step-by-step explanation:

We have been given a box plot and we are asked to find out true statement according to the box plot.

Since we know data represented by box plot is divided in four equal parts.

Upon looking at our box plot we can see that our data is symmetric. It's median is 15, which means half the math assignments have less than 15 problems and half of the math assignments have more than 15 problems.

Interquartile range represents 50% values of data and it is the difference between upper quartile and lower quartile. IQR is not affected by outliers.

$IQR=Q_3-Q_1$