(2) answer that explanation
Answer:
a = 3
Step-by-step explanation:
When you add the given value for a with 7, the resulting answer must be less than 11.
In this case, if: a = 3
Plug in 3 for a in the equation:
7 + a < 11
7 + 3 < 11
10 < 11 (True).
A) a = 3 is your answer.
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Answer:
Option (3)
Step-by-step explanation:
Track is shaped as a rectangle with a semicircle on either side.
Therefore, length of the track = 2(Length of rectangle) + perimeter of a complete circle formed by joining the semicircles on each side.
= 2(96) + 2πr
= 
= 192 + 35π
= 192 + 109.9
= 301.9 m
Since, Jake plans to run four laps.
Therefore, distance covered by Jake = 4 × 301.9
= 1207.6 m
Option (3) will be the correct option.
Answer:
<76
Step-by-step explanation:
Remark
You can't do this problem unless CD and E are all on the same line. If they are, then you can use || line properties.
Properties
<ABG = x Given
<ABG = <BGF Alternate interior angles are equal.
<BGF = x Substitute
x + 2x - 9 = 180 Consecutive angles in a ||gram equal 180 degrees.
3x - 9 = 180 Add 9 to both sides
3x - 9 +9 = 180 +9
3x = 189 Divide by 3
x = 63
<DHG = 2x - 50 Given
<DHG = 2*63 - 50 Substitute for x
<DHG = 76
<IDC = 76
<DHG and <IDC are corresponding angles and are equal; it is a property of parallel lines.
The first step of simplifying the expression would be summing up the "i"s. They are separate ("+i" and "+5i") but you can still sum them up though they are apart. This is thanks to the commutative property of addition which allows summing the terms of an expression with several additions in whatever order it is prefered. Commutative means that the terms can be interchangeable.
