Let's go through the choices one by one
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Choice A
If all sides are congruent, then this figure is a rhombus (by definition). If all angles are congruent, then we have a rectangle. Combine the properties of a rhombus with the properties of a rectangle and we have a square.
In terms of "algebra", you can think
rhombus+rectangle = square
Or you can draw out a venn diagram. One circle represents the set of all rhombuses; another circle represents the set of all rectangles. The overlapping region is the set of all squares. The overlapping region is inside both circles at the same time.
So we can rule out choice A. This guarantees we have a square when we want something that isn't a guarantee.
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Choice B
If we had a parallelogram with perpendicular diagonals, then we can prove that we have a rhombus (all four sides congruent). However, we don't know anything about the four angles of this parallelogram. Are they congruent? We don't know. So we can't prove this figure is a rectangle. The best we can say is that it's a rhombus. It may or may not be a rectangle. There isn't enough info about the rectangle & square part.
This is why choice B is the answer. We have some info, but not enough to be guaranteed everytime.
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Choice C
This is a repeat of choice A. Having "all right angles" is the same as saying "all angles congruent". This is because "right angle" is the same as saying "90 degrees". So we can rule out choice C for identical reasons as we did with choice A.
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Choice D
As mentioned before in choice A, if we know that a quadrilateral is a rectangle and a rhombus at the same time, then the figure is also a square. This is always true, so we are guaranteed to have a square. We can cross choice D off the list.
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Once again, the final answer is choice B
Answer:
11y + 1z
Step-by-step explanation:
Like terms are ones that have the same variable (or set of variables).
8y - 4z + 3y + 5z
= (8 +3)y +(-4 +5)z
= 11y +1z
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Usually written as 11y+z.
10
substitute 0 for x in the equation.
-9(0) - 2y= -20
0 - 2y = -20
-2y= -20 (divide by -2)
y = 10
Instance variables are often called "fields" to help distinguish them from other variables you might use.
<h3>What are Instance variables?</h3>
Instance variables are defined within a class but outside of any method, constructor, or block.
Some key points related to Instance variables are-
- When heap space is allocated to an object, a slot is created for every instance variable value.
- Whenever an object is created with keyword 'new,' instance variables are created, and they are destroyed whenever the object is destroyed.
- Instance variables store values that need to be referenced by multiple methods, constructors, or blocks, as well as vital components of an entity's state which must be available throughout the class.
- Before or after use, instance variables could be declared just at class level.
- Variables, for example, can be given access modifiers.
- Only those methods, constructors, and blocks in the class have access to the instance variables.
To know more about the Instance variables, here
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Answer:
Step-by-step explanation:
First one is 16.7%
Second one they washed 75% more cars that weekend,
