Answer:
x <= 9
Step-by-step explanation:
x -15 <= -6
+15. +15
x <=9
The coefficients here are 4, 32, and -24. The GCF of these values is 4.
As for the variables, the values are x^7, x^5, and x^4. The GCF is x^4
To factor this expression take out 4x^4 from each of the terms.
Coefficients should be divided by four and exponents should be subtracted by 4 since they have the same base (x).
The answer here is A.
Answer:
Reflection
Step-by-step explanation:
A rotation would be to rotate a figure around the origin
A reflection would be to reflect the figure around one of the axes.
A translation would be to move a figure a certain amount of units.
Since A and A' are 2 units away from the y-axis, and C, B, B', and C' are all one unit away from the y-axis, this could not be a translation because the position of A'B'C' is not the same position of ABC.
It could not be a rotation around the origin or any point because it would result the figure in either Quadrant 2 or 3, and in the one occasion it would be in Quadrant 1, the figure cannot be in that position.
This reveals only one option, that which is a reflection. A reflection about the x-axis would not make sense, since it would result in Quadrant 3, so a reflection around the y-axis would make the most sense.
The data we have above also accounts for a reflection, since all points are a certain distant away from the y-axis.
Answers:
- x = 4
- angle CAB = 26 degrees
- angle ABC = 24 degrees
Depending on your teacher, you may or may not have to input the word "degrees" or the degree symbol.
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Explanation:
We use the remote interior angle theorem.
This says to add two interior angles, and the sum is equal to the exterior angle that is not adjacent to any of the interior ones. Hence the "remote".
(angle CAB) + (angle ABC) = exterior angle
(6x+2) + (9x-12) = 50
15x-10 = 50
15x = 50+10
15x = 60
x = 60/15
x = 4 is the first answer
We can then find the interior angles
angle CAB = 6x+2 = 6(4)+2 = 24+2 = 26 degrees is the second answer
angle ABC = 9x-12 = 9(4)-12 = 36-12 = 24 degrees is the third answer
Then notice how 26+24 = 50 to help confirm the answers.
Answer:
92 cups
Step-by-step explanation:
<u>Total volume of lemonade:</u>
<u>Volume of a cup:</u>
<u>Cups needed:</u>
- 23/4 ÷ 1/16 = 23/4 × 16 = 23 × 4 = 92 cups