Answer:
∠ABC = 50°
Step-by-step explanation:
Since this is a parallelogram, opposite angles are congruent.
Therefore, ∠D ≅ ∠B
∠D = 38° + 12°
∠B = 38° + 12°
∠B = 50°
∠ABC = 50°
Answer:
x < -2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify.</em>
5x + 12 < 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- [Subtraction Property of Equality] Subtract 12 on both sides: 5x < -10
- [Division Property of Equality] Divide 5 on both sides: x < -2
1. The number of sample size 1 jelly beans in a 2-liter jar is <u>645</u>.
2. The number of sample size 2 jelly beans in a 2-liter jar is <u>640</u>.
3. The number of sample size 3 jelly beans in a 2-liter jar is <u>637</u>.
<h3>What is a mathematical operation?</h3>
A mathematical operation is an expression involving the use of mathematical operands and operators to compute values.
Mathematical operations use variables, numbers, and operators (addition, subtraction, division, and multiplication).
<h3>Data and Calculations:</h3>
Total weight = 1,150g
Weight of the jar = 440g
The total weight of the jelly beans = 710g (1,150 - 440)
Sample Size 1: the number of jelly beans = 645 (710/22.0 x 20)
Sample Size 2: the number of jelly beans = 640 (710/22.2 x 20)
Sample Size 3: the number of jelly beans = 637 (710/22.3 x 20)
Thus, the number of jelly beans in a 2-liter jar depends on the sample size of the jelly beans.
Learn more about mathematical operations at brainly.com/question/20628271
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Subtract 13 from both sides:


Divide both sides by -5. Since this is a negative number, you have to invert the inequality sign:

Which means
Answer:

Step-by-step explanation:
If AB is diameter, the angle opposite to it, when a triangle is inscribed in that semi circle, will be 90 degrees.
<u>Given that:</u>
AB is the diameter.
According to what is given, we come to know that <ACB = x = 90°.
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Hope this helped!
<h3>~AH1807</h3>