IM 7.7.1 Practice: Relationships of Angles

Use the applet to draw a right angle.

How do you know it's a right angle?

What is its measure in degrees?

Use the applet to draw a straight angle.

How do you know it’s a straight angle?

What is its measure in degrees?

An equilateral triangle’s angles each have a measure of 60 degrees.

Can you put copies of an equilateral triangle together to form a straight angle? Explain or show your reasoning.

Can you put copies of an equilateral triangle together to form a right angle? Explain or show your reasoning.

Here is a square and some regular octagons.

In this pattern, all of the angles inside the octagons have the same measure. The shape in the center is a square. Find the measure of one of the angles inside one of the octagons.

The height of the water in a tank decreases by 3.5 cm each day. When the tank is full, the water is 10 m deep. The water tank needs to be refilled when the water height drops below 4 m.

Write a question that could be answered by solving the equation [math]10-0.035d=4[/math].

Is 100 a solution of [math]10-0.035d>4[/math]? Write a question that solving this problem could answer.

Use the distributive property to write an expression that is equivalent to each given expression.

[math]-3(2x-4)[/math]

[math]0.1(-90+50a)[/math]

[math]-7(-x-9)[/math]

[math]\frac{4}{5}(10y+\text{-}x+\text{-}15)[/math]

[size=150]Lin’s puppy is gaining weight at a rate of 0.125 pounds per day. Describe the weight gain in days per pound.[/size]