3. ∠1+∠2=180° and ∠2+∠3=180°
4. they are supplementary
5. ∠1+∠2=180°=∠2+∠3
6. ∠1+∠2=180°=∠2+∠3
∠2 are same in both side so ∠1=180°-∠2 =∠3=180°-∠2
7.
Given:
50 earring boxes with a measure of 1 inch each side
volume of boxes = a³ = 1³ = 1 in³
total volume of boxes = 1 in³ * 50 boxes = 50 in³
volume of a rectangular prism = length * width * height
50 in³ = length * width * height
Let us assume that the height is 1 in.
length and width can be factored:
50 x 1
25 x 2
10 x 5
<span>I can only make 3 rectangular prisms</span>
The wave length of the sound with parameters frequency of 125 Hz and a speed 5000 m/s is 40 meters
<h3>Given Data</h3>
velocity = 5000 m/s
frequency = 125 Hz
wavelength = ??
We know that the relationship between speed, frequency and wavelength is given as
v = fλ ----------------------------1
substitute our given parameters
5000 = 125 * λ
Divide both sides by 125
λ = 5000/125
λ = 40 m
Hence the wave length of the sound is 40 meters
Learn more about sound here:
brainly.com/question/24544245
The ratio of AB to AC and the ratio of AD to DC is 1 : 2 each respectively. They are equivalent ratios.
<h3>Ratios and proportions</h3><h3 />
A ratio means a comparison of two different quantities while proportion is an equality of two ratios.
- AB = 5 in
- AC = 10 in
- AD = 4 in
- DC = 8 in
Ratio of AB to AC = 5 in : 10 in
= 5 / 10
= 1 / 2
= 1 : 2
Ratio of AD to DC = 4 in : 8 in
= 4 / 8
= 1 / 2
= 1 : 2
Therefore, the ratio of AB to AC and the ratio of AD to DC is 1 : 2 each respectively. They are equivalent ratios.
Learn more about ratios and proportions:
brainly.com/question/12024093
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