Let's solve this problem step-by-step.
STEP-BY-STEP SOLUTION:
Let's first establish that the shape is a triangle meaning that the following formula is applicable as displayed below:
Angle sum of a triangle = 180°
As well as this, the shape is an equilateral triangle meaning that each angle of the triangle is equivalent in value. Also, the following formula is also applicable as displayed below:
Each angle of an equilateral triangle = the same value
Therefore:
Each angle of an equilateral triangle = angle sum of a triangle ÷ no. of angles in a triangle = 180° ÷ 3 = 60°
Based on this, the following is applicable:
2x - 4 = 60°
2x = 60 + 4
2x = 64
x = 64 / 2
x = 32°
ANSWER:
Therefore, the answer is:
The value of ( x ) is 32°
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30/100 +5/10 = 3/10 +5/10 = 8/10 = 4/5
Mrs. Morales will have 4/5 of a liter of juice.
_____
The total quantity was found by adding the quantities of individual kinds of juice. The addition was performed by expressing each fraction using the common denominator of 10, then reducing the final result.
Answer:
x = 3, y = 3
(3, 3)
Explanation:
Given the below equations;

Let's go ahead and solve this simultaneously using the substitution method. To do this, we have to substitute the x = y into the 1st equation and find y;

Since y = 3 and from the 2nd equation we have that x = y, so x is also equal to 3.
Answer:
2.9%
Step-by-step explanation:
The problem says the stations are 260 feet apart. Assuming that this is the horizontal distance between them, then the grade is:
7.5 / 260 × 100% = 2.9%
This is less than the maximum of 3.5%, so it meets the standards.