Answer: ∠B = 50°
∠BCD = 40°
<u>Step-by-step explanation:</u>
ACB is a right triangle where ∠A = 40° and ∠C = 90°.
Use the Triangle Sum Theorem for ΔABC to find ∠B:
∠A + ∠B + ∠C = 180°
40° + ∠B + 90° = 180°
∠B + 130° = 180°
∠B = 50°
BCD is a right triangle where ∠B = 50° and ∠D = 90°.
Use the Triangle Sum Theorem for ΔBCD to find ∠C:
∠B + ∠C + ∠D = 180°
50° + ∠C + 90° = 180°
∠C + 140° = 180°
∠C = 40°
Well assuming that this would be a typical triangle, and not a right angle one, knowing that the sum of all sides adds up to 180 degrees, simply add all of the expressions and one value and make it equal to 180, and then solve for x.
(6x-1) + (X+14) + 20 = 180
6x - 1 + X + 14 = 160
7x - 1 + 14 = 160
7x + 13 = 160
7x = 147
X = 21.
Now solve for the angles by plugging in X.
A = 6x - 1 = 6(21) - 1 = 125 degrees
C = X + 14 = (21) + 14 = 35 degrees.
I believe these are the solutions.
Answer:
1.05
Step-by-step explanation:
The answer choice which represents the solution to the inequality as given in the task content is; x>-2 or x≤ 1.
<h3>What is the solution of the give complex inequality?</h3>
On this note, it follows that the inequalities can be solved individually as follows;
-4 < 3x +2
-6 < 3x
x > -2
Also, 3x +2 ≤ 5
3x ≤ 3
x ≤ 1.
Ultimately, the correct answer choice is; Choice C; x>-2 or x≤ 1.
Read more on complex inequality;
brainly.com/question/24761100
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Answer:
x = 6
Step-by-step explanation:
Givens
There are 3 sides. All are equal to (4x - 3)
Their sum = 63
Formula
3(4x - 3) = 63
Solution
- 3(4x - 3) = 63 Divide by 3
- 12x - 9 = 63 Add 9 to both sides
- 12x = 63 + 9
- 12x = 72 Divide by 12
- x = 72/12
x = 6 Answer
