CDEF is a kite and m∠FCE=16 . Find m∠2 74 90 16 32

Two thirds of a number decreased by six is two. what is the number?

Kisachek [45]

Answer: The number is: " 12 ".

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Let "x" represent "the unknown number" (for which we wish to solve.

The expression:

$\frac{2}{3}$ x − 6 = 2 ; Solve for "x" ;
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Method 1)

Add "6" to EACH SIDE of the equation;
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→ $\frac{2}{3}$ x − 6 + 6 = 2 + 6 ;

to get:

→ $\frac{2}{3}$ x = 8 ;
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Multiply each side of the equation by " $\frac{3}{2}$ " ; to isolate "x" on one side of the equation ; and to solve for "x" ;
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→ $\frac{3}{2}$ * $\frac{2}{3}$ x = 8 * $\frac{3}{2}$ ;

→ x = 8 * $\frac{3}{2}$ ;

= $\frac{8}{1}$ * $\frac{3}{2}$ ;

= $\frac{8*3}{1*2}$ ;

= $\frac{24}{2}$ ;

= 12 .
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x = 12 .
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Method 2)
______________________________________________
$\frac{2}{3}$ x − 6 = 2 ; Solve for "x" ;

Add "6" to EACH SIDE of the equation;
_______________________________________________
→ $\frac{2}{3}$ x − 6 + 6 = 2 + 6 ;

to get:
→ $\frac{2}{3}$ x = 8 ;
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Multiply each side of the equation by "3" ; to get rid of the "fraction" ;
 → 3 * $\frac{2}{3}$ x = 8 * 3 ;
→ $\frac{3}{1}$ * $\frac{2}{3}$ x = 8 * 3 ;
→ $\frac{3*2}{1*3}$ x = 8 * 3
→ $\frac{6}{3}$ x = 24 ;

→ 2x = 24 ;

→ Divide each side of the equation by "2" ; to isolate "x" on one side of the equation; & to solve for "x" :

2x / 2 = 24 / 2 ;

x = 12 .
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Method 3).
__________________________________________________
$\frac{2}{3}$ x − 6 = 2 ; Solve for "x" ;
_______________________________________________
Add "6" to EACH SIDE of the equation;
_______________________________________________
→ $\frac{2}{3}$ x − 6 + 6 = 2 + 6 ;

to get:

→ $\frac{2}{3}$ x = 8 ;
______________________________________________
Now, divide each side of the equation by " $\frac{2}{3}$ " ;
to isolate "x" on one side of the equation; & to solve for "x" ;
___________________________________________________
{ $\frac{2}{3}$ x } / { $\frac{2}{3}$ } = 8 / { $\frac{2}{3}$ } ;

to get: x = 8 / { $\frac{2}{3}$ } ;

= 8 * ( $\frac{3}{2}$ ;

= $\frac{8}{1}$ * $\frac{3}{2}$ ;

= $\frac{8*3}{1*2}$ ;

= $\frac{24}{2}$ ;

= 12 ;
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x = 12 .
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NOTE: Variant: (in "Methods 2 & 3") :
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At the point where:
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= 8 * ( $\frac{3}{2}$ ) ;

= $\frac{8}{1}$ * $\frac{3}{2}$ ;
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We can cancel out the "2" to a "1" ; and we can cancel out the "8" to a "4" ;
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{since: "8÷2 = 4" ; and since: "2÷2 =1" } ;
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and we can rewrite the expression:
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$\frac{8}{1}$ * $\frac{3}{2}$ ;
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as: $\frac{4}{1}$ * $\frac{3}{1}$ ;
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which equals:
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→ $\frac{4*3}{1*1}$ ;

= $\frac{12}{1}$ ;

= 12 .
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x = 12 .
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Answer: The number is: " 12 ".
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8 0

4 years ago

Find 4% of 1275- I couldn’t seem to figure this one out for some reason I dunno

Inessa05 [86]

Answer:

51

Step-by-step explanation:

4% as a decimal is 0.04, so you can just do 0.04 * 1275 = 51.

5 0

3 years ago

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PLZ ANWSER ITS MORE GEOMETRY

denis23 [38]

Answer:

Below.

Step-by-step explanation:

1. congruent

2. supplementary

3. equal.

8 0

3 years ago

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Which of the following is a result of the construction of a median of a triangle?

andreyandreev [35.5K]

Answer:

FALSE: An angle of the triangle is bisected.

TRUE : A perpendicular segment is created from a vertex to the opposite side.

TRUE: A side of the triangle is bisected.

TRUE: The center of the triangle is found.

Step-by-step explanation:

Median: Median of a triangle is a line segment which joins the vertex of a triangle to the mid point of its opposite side.

1) A median is also a angle bisector of the vertex through which it passes but ONLY in ISOSCELES and EQUILATERAL TRIANGLE.

2)A perpendicular segment is created from a vertex to the opposite side. This is true for all the types of triangle.

3)A side of the triangle is bisected. Yes, the side of the triangle on which the median falls, is bisected.

Median divides the side of the triangle in to two equal sides.

4)The point where all the three median of the triangle intersect inside the triangle.That point is called the centro-id of the triangle.

Hence, the centroid of the triangle is found.

8 0

4 years ago

A jug holds 5 gallons of water.How many jugs can Mark fill with 23 gallons of water? Explain

d1i1m1o1n [39]

He can hold 4 gallons because 5 goes into 23, 4 times with a remainder of 3.

3 0

3 years ago

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