Can someone explain segment addition/subtraction in terms of congruence in geometry? Can they also provide an example? Thanks.

1 answer:

5 0

Segment subtraction (three total segments): If a segment is subtracted from two congruent segments, then the differences are congruent. Angle subtraction (three total angles): If an angle is subtracted from two congruent angles, then the differences are congruent.

branlist please

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The area of a field shaped like a right triangle is 750yd^2.One leg of the field is fenced with wood costing $5/yd. the remainde

Elenna [48]

Assume that
a and b = the two legs of the right triangle.
c = the hypotenuse.

The area of the right triangle is 750 yd², therefore
(1/2)*a*b = 750
ab = 1500 (1)

The perimeter is 150yd, therefore
a + b + c = 150 (2)

Let the side fenced with wood be a, at $5/yd. Sides b and c are fenced with steel at $10/y. The total cost is $1200, therefore
5a + 10b + 10c = 1200
or
a + 2b + 2c = 240 (3)

From (2), obtain
c = 150 - a - b (4)

Substitute (4) into (3)
a + 2b + 2(150 - a - b) = 240
-a + 300 = 240
a = 60

From (1), obtain
60b = 1500
b = 25

From (4), obtain
c = 150 - 60 - 25 = 65

Answer:
A. The length of the leg fenced with wood is 60 yd.
B. The length of the leg fenced with steel is 25 yd.

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4 years ago

Convert each rate using dimensional analysis. Round to the nearest tenth, if necessary. 45 mi/h = ___ ft/s a. 66 c. 26.4 b. 15.6

vovikov84 [41]

I get A for this one.....66

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4 years ago

Read 2 more answers

3x = 4y – 10 Solve for x. Solve for y.

Arlecino [84]

Solve for x
3x=4y-10
x=(4y-10)/3
solver for y
3x=4y-10
rewrite as 4y-10=3x
4y-10+10=3x+10
4y=3x+10
y=(3x+10)/4

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