Answer:
second option, IQR = 13-6 = 7 and Range = 17-6 = 11
Step-by-step explanation:
Answer:
1. 64
2. 72 square feet
3. 31.5 square feet
Step-by-step explanation:
For the first one use the equation A=bh.
Plug in your values: A=12.8*5.
Solve: A=64
For the second one multiply 8*3 which gives you 24. Next multiply that by 3 to give you 72 square feet.
For the third one multiply 9 by 3.5 to get 31.5 square feet.
Answer:
The answr is 102 degrees. Here's why
Step-by-step explanation:
The square means the angle is 90 degrees. Therefore, for the big triangle, we already know 2 of the degrees, 50 and 90. A triangle's degrees add up to 180. 50+90=140. 180-140=40. This means the top angle is 40. Now finding X is easy, because we already know the other 2 points in the triangle, which are 38 and 40. Add those up, you get 78. 180-78=102, your answer. The triangle is 102 degrees.
Answer: -1 < x < 8
x = 3
x ≠ 2
<u>Step-by-step explanation:</u>
Isolate x in the middle. Perform operations to all 3 sides.
-6 < 2x - 4 < 12
<u>+4 </u> <u> +4</u> <u>+4 </u>
-2 < 2x < 16
<u>÷2 </u> <u>÷2 </u> <u> ÷2 </u>
-1 < x < 8
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Isolate x. Solve each inequality separately. Remember to flip the sign when dividing by a negative.
4x ≤ 12 and -7x ≤ 21
<u>÷4 </u> <u>÷4 </u> <u> ÷-7 </u> <u>÷-7 </u>
x ≤ 3 and x ≥ 3
Since it is an "and" statement, x is the intersection of both inequalities.
When is x ≤ 3 and ≥ 3? <em>when x = 3</em>
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Isolate x. Solve each inequality separately.
15x > 30 or 18x < -36
<u>÷15 </u> <u> ÷15 </u> <u> ÷18 </u> <u>÷18 </u>
x > 2 or x < 2
Since it is an "or" statement, x is the union of both inequalities.
When we combine the inequalities, x is every value except 2.
x ≠ 2
opposite means the sign changes (from positive to negative or vice versa)
since a rational number includes both positives and negatives, then the opposite of a rational is also a rational.
For example: 
is a rational number. Its opposite is 
, which is also a rational number.
Hope this helped!
Answer: YES
