Answer:
1. Prime numbers are easier to count. (Not a statement)
2.Irrational numbers can be written as fractions. (Statement)
3. Natural numbers can be negative. (Statement)
4. Addition is the simplest mathematical operation. (Not a Statement)
5. Equilateral triangles are quicker to construct than scalene triangles. (Not a statement)
6. The set of real numbers is infinite. (Statement)
i hope it will help you!
Step-by-step explanation:
Break down every term into prime factors. ...
Look for factors that appear in every single term to determine the GCF. ...
Factor the GCF out from every term in front of parentheses, and leave the remnants inside the parentheses. ...
Multiply out to simplify each term.
a. The value of x is 7
b. The measure of ∠1 is 99°
<h3>Calculating angles </h3>
From the question, we are to solve for x
From the given diagram, we can write that
m∠NMQ + m∠MQN + m∠QNM = 180° (<em>Sum of angles in a triangle</em>)
From the given information,
m∠NMQ = 5x +19
m∠MQN = 8x -11
m∠QNM = 11x + 4
Then,
5x + 19 + 8x -11 + 11x + 4 = 180
Collect like terms
5x + 8x + 11x = 180 - 19 + 11 - 4
24x = 168
∴ x = 168/24
x = 7
Hence, the value of x is 7
b.
Measure of ∠1 + m∠QNM = 180° (<em>Sum of angles on a straight line</em>)
∴ Measure of ∠1 = 180° - m∠QNM
But m∠QNM = 11x + 4
∴ m∠QNM = 11(7) + 4
m∠QNM = 77 + 4
m∠QNM = 81°
Then,
Measure of ∠1 = 180° - 81°
Measure of ∠1 = 99°
Hence, the measure of ∠1 is 99°
Learn more on Calculating angles here: brainly.com/question/25716982
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The common denominator for 18/24 is 24
