Answer:
x = 14
Step-by-step explanation:
7x - 27 = 3x + 29
Subtract 3x from both sides;
4x - 27 = 29
Add 27 to both sides;
4x = 56
Divide both sides by 4;
x = 14
Answer:
Miguel has a greater unit rate than Donna because 53 mph is greater than 48 mph
Step-by-step explanation:
Answer: A pair of inverse operations is defined as two operations that will be performed on a number or
variable, that always results in the original number or variable. Another way to think of this is
that the two inverse operations “undo” each other. For example, addition and subtraction are
inverse operations since we can say
x x 2 2 . If we start with x, then add 2 and subtract 2,
we are left with the original starting variable x.
There are several inverse operations you should be familiar with: addition and subtraction,
multiplication and division, squares and square roots (for positive numbers), as well as cubes and
cube roots. The following examples summarize how to undo these operations using their
inverses
Step-by-step explanation:
Triangle ABC is similar to triangle CEF.
<u>Explanation:</u>
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Diagram is inserted for the reference.
ABCD is a rectangle.
ABC is a right angled triangle because all the angles of the rectangle are 90◦ - (a)
CEF is a right angled triangle because FE is perpendicular to DC – (b)
In triangles ABC and CEF,
1. Angle ABC = Angle CEF = 90◦ (Both are right angles from a and b)
2. Angle BCA = Angle EFC (Alternate angles on parallel lines are equal on intersection)
Hence using Similarity property of AA (Angle, Angle), Triangle ABC and CEF are similar.
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Answer: x = 8
Step-by-step explanation:
8(3-2x) + 4(3x - 2) = -16
expanding the equation , we have
24 - 16x +12x - 8 = -16
16 - 4x = -16
collecting the like terms
4x = 32
x = 32/4
x = 8
