Answer:
Both angles are 51°
Step-by-step explanation:
By the Vertical Angles Theorem, both angles are congruent.
Step 1: Set up equation
68 - x = 3x
Step 2: Solve for <em>x</em>
68 = 4x
x = 17
Step 3: Find angles
68 - 17 = 51°
Answer:
144°, 144°, 36°, 36°.
Step-by-step explanation:
Take shorter angle = x
Then the bigger angle = 4x (4 times the other angle)
In a parallelogram, there are 4 angles. Also, in a parallelogram opposite angles are equal to each other.
So,
1 angle = x
2 angle = 4x
3 angle = x
4 angle = 4x
The sum of all 4 angles in a parallelogram = 360°. So,
4x + x + 4x + x = 360°
10x = 360°
x = 360/10
x° = 36°
4x = 36 × 4 = 144°
Angles in the parallelogram = 144°, 144°, 36°, 36°.
Hope it helps ⚜
Answer:
I think its the third one sorry if I got it wrong I tried my best
The expression that represent the profit is given by P(r) = r⁴ - 3r³ - r² - 4
<h3>What is an
equation? </h3>
An equation is an expression that shows the relationship between two or more numbers and variables. An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.
Profit is the difference between revenue and cost. Given that:
R(r) = 2r⁴ - 3r³ + 2r - 1 and C(r) = r⁴ - r² + 2r + 3
P(r) = R(r) - C(r)
P(r) = (2r⁴ - 3r³ + 2r - 1) - (r⁴ - r² + 2r + 3) = r⁴ - 3r³ - r² - 4
The expression that represent the profit is given by P(r) = r⁴ - 3r³ - r² - 4
Find out more on equation at: brainly.com/question/2972832
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