Answer:
x = $5.49 cost of the bananas
Step-by-step explanation:
x = cost of the bananas
$3.89 = cost of the peanut butter
$ 9.38 is the cost of both
Bananas + peanut butter = $9.38
x + $3.89 = $9.38
<u> - $ 3.89 = -$3.89 </u> Subtract $3.89 from both sides
x = $5.49
The possible values of the third angle are from 18° to 20°
Step-by-step explanation:
The sum of the measures of the angles in any triangle is 180°
The given is:
1. α and β are two angles of a triangle
2. 58° ≤ α ≤ 59°
3. 102° ≤ β ≤ 103°
Assume that the third angle is Ф
∵ α + β + Ф = 180°
- Subtract α + β from both sides
∴ Ф = 180 - (α + β) ⇒ (1)
∵ 58° ≤ α ≤ 59°
∵ 102° ≤ β ≤ 103°
- Add the two inequalities
∴ 160° ≤ α + β ≤ 162°
- By substituting α + B = 160 in equation 1
∴ Ф = 180 - 160
∴ Ф = 20°
- By substituting α + B = 162 in equation 1
∴ Ф = 180 - 162
∴ Ф = 18°
- Put Ф in the form of inequality
∴ 18° ≤ Ф ≤ 20°
The possible values of the third angle are from 18° to 20°
Learn more:
You can learn more about triangle in brainly.com/question/3617539
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Answer:
What is the car's rate in kilometers per minute?
How many kilometers will the car travel in 5 minutes?
Step-by-step explanation:
If we know:
And there are 60 minutes in an hour:
We can do:
From here, we figure out the distance from minutes:
Answer:
6.67in long and 4.67in wide
Step-by-step explanation:
Given the amp of the scale 1 inch = 3 mi?
If the measured length is 20miles
Let x be the dimension of the length on the map
1 inch = 3 mi?
x = 20miles
3x = 20
x = 20/3
x = 6.67in
For the width,
Width =14miles
Let y be the dimension of the width on the map
1 inch = 3 mi
y = 14miles
3y = 14
y = 14/3
y = 4.67in
Hence the Yellowstone Lake appears 6.67in long and 4.67in wide on the Map
