Suppose ∠A and ∠B are complementary angles, m∠A = (3x + 5)°, andm∠B = (2x – 15)°. Solve for x and then find m∠A and m∠B.
Answers
(3x + 5) + (2x - 15) = 90
(3x + 2x) + (5 - 15) = 90
5x - 10 = 90
+ 10 + 10
5x = 100
5 5
x = 20
m∠A = 3x + 5
m∠A = 3(20) + 5
m∠A = 60 + 5
m∠A = 65
m∠B = 2x - 15
m∠B = 2(20) - 15
m∠B = 40 - 15
m∠B = 25
m∠A =
m∠A =
m∠A =
m∠A =
m∠B =
m∠B =
m∠B =
m∠B =
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the answer is the second one
Answer:
The answer is b!!
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Answer:-1/4
Step-by-step explanation:
i dont know how to step by step
Answers
To solve for [variable] in the equation [equation], apply inverse operations to isolate [variable]. For inequalities, follow the same steps, but note the direction of the inequality sign to find valid values.
To solve for a variable in an equation, one must follow a systematic process. First, identify the equation's form, whether linear, quadratic, or another type. Then, apply appropriate operations to isolate the variable. For example, in linear equations, perform addition, subtraction, multiplication, or division to isolate the variable on one side of the equation. For quadratic equations, use factoring, completing the square, or the quadratic formula.
When dealing with inequalities, the same principles apply, but one must also consider the direction of the inequality sign (>, <, ≥, ≤). When multiplying or dividing by a negative number, the inequality sign must be reversed.
In both cases, it's crucial to perform the same operation on both sides of the equation or inequality to maintain balance and equivalence. Lastly, check the solution by substituting it back into the original equation or inequality to ensure its validity.
This systematic approach ensures that we can accurately solve for variables in equations and find the values that satisfy inequalities while maintaining mathematical integrity.
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Complete question below:
"How do you solve for [variable] in the equation [equation]?""What are the steps to find the values of [variable] that satisfy the inequality [inequality]?"
Answers
Answer:
14
Step-by-step explanation:
To calculate the greatest common factor (GCF) of 28 and 42, we need to factor each number (factors of 28 = 1, 2, 4, 7, 14, 28; factors of 42 = 1, 2, 3, 6, 7, 14, 21, 42) and choose the greatest factor that exactly divides both 28 and 42, i.e., 14.
Answers
Final answer:
To represent the remaining weight that can be added to the elevator, write and solve the inequality 800 - 95 ≥ x. The remaining weight is 705 pounds or less.
Explanation:
To represent the remaining weight that can be added to the elevator, we can use an inequality. Let's assume that the remaining weight is represented by 'x' pounds. The total weight the elevator can carry is 800 pounds. So, the inequality can be written as:
800 - 95 ≥ x
To solve the inequality, we subtract 95 from both sides:
x ≤ 800 - 95
x ≤ 705
Therefore, the remaining weight that can be added to the elevator is 705 pounds or less.
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Answers
Answer:
35 is 5 times as many as 7.
Step-by-step explanation:
5*7 = 7*5
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