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shusha [124]
3 years ago
10

Solve for x: |2x + 12| = 18

Mathematics
1 answer:
julsineya [31]3 years ago
8 0
It can be x = 3 and x = -15
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Suppose ABCD is a rhombus with AB = 12 inches. The midpoints of its sides are joined to form a quadrilateral. What type of quadr
MrRissso [65]

Answer:

A rectangle

Step-by-step explanation:

The given parameters are;

The quadrilateral ABCD is a rhombus;

The length of the sides of the rhombus = 12 inches

The lengths of the sides of a rhombus are equal

The opposite interior angles of the rhombus are equal

The length of each midpoint from the vertex = 12 in./2  = 6 in.

Therefore, we have;

The line joining the midpoints form a quadrilateral with the length of the opposite sides equal

The sum of the interior angles of the rhombus = 180°

From the diagram created with Microsoft Visio, we have;

4·a + 4·b + 360 = 4 × 180 = 360 + 360

4·a + 4·b = 360

a + b = 90°

We have;

The interior angles of the quadrilateral formed = x

a + b + x = 180° Sum of angles on a straight line

∴ x = 180° - (a + b) = 180° - 90° = 90°

x = 90°

Therefore, the interior angles of the quadrilateral formed = 90°

The quadrilateral formed having equal opposite sides, and all interior angle of 90° each is a rectangle

6 0
2 years ago
Ms. Williams wants to analyze the scores for the first unit test of her NC Math 1 class
marishachu [46]

Answer:

Mean:79

Median:81

Standard deviation:15

Interquartile range:22

6 0
3 years ago
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Deshaun took 2 5/8 hours to clean the bathroom. Then took 1/4 hours to clean the den . How much total time did deshaun take to c
natulia [17]

Answer:

2.875 hours 2 5/8 plus 1/4 equals 2.875

7 0
3 years ago
What is a rational number that isn't an integer?
katen-ka-za [31]
An integer is like -5,-4,-3,-2,-1,0,1,2,3,4...
all counting numbers plus 0 and negatives

so no fractions
so an an easmple of a rational number that is not an integer is any fraction a/b such that it doesn't sipmlify to an integer

examples
2/3
1/4
5/6
9/10
etc
6 0
3 years ago
If x = 9, what is the value<br> of 7x + 4?
Vika [28.1K]

Answer:

67

Step-by-step explanation:

7x9=63

63+4=67

5 0
2 years ago
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