If a triangle is equiangular, does it have to be equilateral?

1 answer:

8 0

Yes.

The sides of an equiangular triangle are all the same length (congruent), and so an equiangular triangle is really the same thing as an equilateral triangle.

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The line 5y-6x-10=0 is given . what are the x- andy- intercepts of the graph of this equation

OLEGan [10]

X=5 and Y = 8

Because 5 times 8 equals 40 and -6 times 5 equals -30 so 40-30 equals 10 and 10-10 equals 0

8 0

2 years ago

Add three data values to the following data set so the mean increases by 10 and the median does not change. {42, 37, 32, 29, 20}

aksik [14]

Sum of the numbers in the set: 42+37+32+29+20 =160

Current mean: 160/5 = 32

Median = the valvue of the middle = 32.

New mean: 32+10= 42.

Sum of numbers in the new set = 42*8 = 336

Difference: 336 - 160 = 176

I want to include 32, so that the new median stays in 32.

So the other two numbers must add 176 - 32 = 144

I will use a smaller number than 32 and the other greater (again in order to keep the same median.

I will choose 28 and 144 - 28 = 116.

So my three new numbers are 28, 32 and 116 and the new set is {116, 42, 37, 32, 32, 29,28, 20}

Checking:

Sum of the terms: 116+42+37+32+32+29+28+20 = 336

Mean = 336 / 8 = 42, which is 10 more than the original mean.

And the new median is (32+32)/2 = 32. The same of the original set.

8 0

3 years ago

The interior angles of a quadrilateral are 2x+15 2x-5 3x+75 3x-25 find x and the smallest interior angle largest interior angle

BartSMP [9]

Answer: $x=30^{\circ}$