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2 answers:
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Answer: (4) d=112 (7) 2.75 or 2 3/4
explanation: pictured below
explanation: pictured below
The absolute value of a number is the positive version of that number. So, if
is positive, its absolute value is
itself. If
is negative, its absolute value is
, so that it will be positive again.
So, if the absolute value of a number is smaller than a certain quantity, i.e. it means that the positive version of
is less than
.
So, if is positive, the inequality becomes
. If
is negative, the inequality becomes
.
So, as a compound inequality, we have
So, in your case, we have
Add 8 to all sides in this inequality:
So, on a number line, you must higlight all numbers between 7.79 and 8.01, endpoints excluded.
Conceptually, this means that the bolt measurement should be exactly 8mm, but you can accept bolts that are 0.01 millimeters shorter of larger.
Answer:
The value of x is 9 ⇒ C
Step-by-step explanation:
In a circle, if two chords intersected at a point inside it there are four segments created, two in each cord, the products of the lengths of the line segments on each chord are equal.
<em>Let us use this rule to solve the question</em>
In circle H
∵ Jk and LM are chords intersected at point N inside the circle
∴ The created segments are JN, Nk, and LN, NM
→ By using the rule above
∴ JN × NK = LN × NM
∵ JN = x and NK = 2
∵ LN = 3 and NM = 6
→ Substitute these values in the equation above
∴ x × 2 = 3 × 6
∴ 2x = 18
→ Divide both sides by 2 to find x
∴
∴ x = 9
∴ The value of x is 9