Order the side lengths HI, IK, HJ, IJ, and KJ from least to greatest.

Mathematics

1 answer:

puteri [66]3 years ago

3 0

Answer:

KJ, IK, HI, HJ, IJ

Explanation:

The shortest side of a triangle is always opposite the smallest angle, and the longest side is always opposite the largest angle

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The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents t

Gekata [30.6K]

Answer:

A. 7 in.

Step-by-step explanation:

We have been given that the perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle.

We know that perimeter of rectangle is 2 times the sum of width and length of rectangle.

$\text{Perimeter}=2(l+w)$

$\text{16 in}=2(l+w)$

$\frac{\text{16 in}}{2}=\frac{2(l+w)}{2}$

$\text{8 in}=l+w$

To be a rectangle length cannot be 8 as length and width of the rectangle is 8 inches.

Therefore, 7 inches the possible value for the length of the rectangle.

5 0

3 years ago

∠A∠A and ∠B∠B are vertical angles with m∠A=xm∠A=x and m∠B=5x−80m∠B=5x−80 . What is m∠Am∠A ?

iris [78.8K]

The Vertical Angles Theorem states that if two angles are vertical angles, then they are congruent .Given <A and <B are vertical angles so they are equal.

<A=<B.

Measure of <A=x and <B=5x-80

Or 5x-80=x

Adding 80 both sides

5x-80+80=x+80

5x=x+80

Subtracting x both sides

5x-x=x-x+80

4x=80

Dividing both sides by 4

x=20

Measure of <A= x= 20 degrees.