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pychu [463]
3 years ago
5

one angle of a triangle measures 120 degrees. the other two angles are congruent. write and solve an equation to find the measur

e of congruent angeles
Mathematics
1 answer:
Bogdan [553]3 years ago
3 0
The three angles of a triangle always add to 180, do the 2 congruent angles must measure 180-120=60. this number must be divided in two since the angles are congruent, so 60/2=30. [email protected], as needed. so the equation to find x, the size of the congruent angles, would be

x=(180-120)/2
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Which triangle makes this statement true?
balandron [24]
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6 0
3 years ago
A rectangular carpet has a perimeter of 244 inches. The length of the carpet is 90 inches more than the width. Determine the dim
RSB [31]

Answer:

The dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

Step-by-step explanation:

Perimeter of rectangle = 244 inches

Let Width of rectangle = w

Length of rectangle = w+90

We need to find the dimensions (length and width) of the carpet

The formula used will be: Perimeter=2(length+width)

Putting values and making equation:

244=2w+2(w+90)\\Solving:\\244=2w+2w+180\\244=4w+180\\Switching\:sides\\4w+180=244\\Subtracting\:180\:from\:both\:sides\\4w=244-180\\4w=64\\Dividing\:both\:sides\:by\:4\\\frac{4w}{4} =\frac{64}{4}\\w=16

So, we get w = 16

The width w = 16 inches

Now, finding length = w+ 90 = 16+90 = 106 inches

Therefore the dimensions of rectangle are:

Width = 16 inches

Length = 106 inches

4 0
3 years ago
John has a goal to ride his bike at least 200 miles this summer. John has ridden 12 miles thus far. There are 40 days left in th
Alex Ar [27]

Answer:

4.7 miles per day

Step-by-step explanation:

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7 0
3 years ago
Consider the system of equations
Free_Kalibri [48]

Answer:

(-3,-8)

Step-by-step explanation:

okay so what we can do here is elimination

we can do this first by multiplying the entire second equation by 2

so then it would become

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now we can add the two equations together which will eliminate y

so

-8x+4y=-8 plus

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2x=-6

we did that by combining like terms

next we can simplify that

x=-3

now we can plug that into the equation

-8(-3)+4y=-8

simplify

24+4y=-8

4y=-32

y=-8

our answer would be

(-3,-8)

7 0
3 years ago
Read 2 more answers
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castortr0y [4]

Answer:

120

Step-by-step explanation:

using the pythogorean thereom, we have 12^2+9^2=225

sqrt225=15

15*8=120

5 0
3 years ago
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