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Artemon [7]
4 years ago
14

Given triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°

. Complete the following statements. Since angle G is angle, the opposite side, JH, is . The order of the side lengths from longest to shortest is .

Mathematics
2 answers:
natta225 [31]4 years ago
5 0
The smallest–largest ordering of sides is the same as the smallest–largest ordering of angles.

Since angle G is the largest angle, the opposite side, JH, is longest.

The order of side lengths from longest to shortest is JH, HG, GJ.
Margarita [4]4 years ago
3 0

Answer:

Step-by-step explanation:

It is given that in  triangle GHJ, the measure of angle G equals 110°, the measure of angle J equals 40°, and the measure of angle H equals 30°.

Since, angle G is the largest angle that is of measure  110°,the side opposite to angle G is JH and is will be the longest side.

The angle J is the smaller than angle G but larger than angle H, thus the side opposite to it that is GH is larger than the third side.

The angle H has the measure of angle 30°, thus the side opposite to angle H is GJ and has the smallest length,

Therefore, The order of the side lengths from longest to shortest is:

HJ>GH>GJ.

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The perimeter of a rectangle is 510 cm. The ratio of the length to the width is 3:2. What are the dimensions of this rectangle?
Verizon [17]
The formula to find the perimeter of a rectangle is
p  = 2(l + w)
When we put in our givens to this formula:
510 = 2 \times (3x  + 2x)
Combine x values:
510 = 2 \times 5x
Simplify right side:
510 = 10x
Isolate x, by dividing both sides by 10:
51 = x
To find length:
l = 3x = 3 \times 51 = 153
For width:
w = 2x = 2 \times 51 = 102
To solidify our answers:
p = 2(l + w) = 2 \times (153 + 102) = 2 \times 255 = 510
So, our length is 153, our width is 102.
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Answer:

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Let,
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