Answer:20 diagonals
Step-by-step explanation:a square (or any quadrilateral) has 4(4−3)/2 = 4×1/2 = 2 diagonals. an octagon has 8(8−3)/2 = 8×5/2 = 20 diagonals.
If the sum of the square of a number plus the triple of the same number equals eighteen, the required numbers are 3 and -6
Let the unknown number be x
The square of the number is expressed as x²
Triple of the unknown number will also be expressed as 3x
Taking the sum of both numbers and equating it to 18 will give;
Factorize the resulting equation:
Hence the required numbers are 3 and -6
Learn more here; brainly.com/question/13805464
The answer:
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x = (⅔)y ;
y = 3x/2.
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Given:
x + (⅓)y + x - (2/4)<span>y - x = (3/6)y ;
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Take the: x + x - x = 1x + 1x - 1x = 2x - 1x = 1x = x ;
and rewrite:
x + (⅓)y - (2/4)y = (3/6)y ;
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Note that: (2/4)y = (<span>½)y ;
and: (3/6)y = (</span><span>½)y ; so;
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Rewrite as:
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</span>x + (⅓)y - (½)y = (½)y ;
Add "(½)y" to EACH SIDE of the equation;
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x + (⅓)y - (½)y + (½)y = (½)y + (½)y ;
to get: x + (⅓)y = y ;
x = 1y - (⅓)y = (3/3) y - (1/3)y - [ (3-1)/3] y = (⅔)y ;
So: x = (<span>⅔)y ;
In terms of "y" ;
Given: </span>(⅔)y = x ; Multiply each side of the equation by "3" ;
3*[(⅔)y] = 3*x ;
to get: 2y = 3x ;
Now, divide EACH SIDE of the equation by "2" ; to isolate "y" on one side of the equation; and to solve for "y" (in terms of "x"):
2y / 2 = 3x / 2 ;
to get:
y = 3x/2 ;
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Answer:
it would be 12 multiple by 9 then add the 5 centimeters
Step-by-step explana
Answer:
Step-by-step explanation:
Given a transversal that intersects a set of parallel lines, various angles are formed.
When given this situation in geometry, these angles have different names and statements (primarily theorems) which justify their relationship.
There are 8 primary types of possible angles of parallel lines including:
- Alternate Interior
- Alternate Exterior
- Same-Side (Consecutive) Interior
- Same-Side (Consecutive) Exterior
- Corresponding Angles
- Vertical Angles
- Supplementary Angles
- Linear Pair
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According to what is given in the problem, we know that:
m∠3 = 135°.
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To solve for m∠7, we must identify the relationship that ∠3 and ∠7 have.
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Here is the solution in proof form:
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Statement | Reason
m∠3 = 135° | Given
m∠3 ≅ m∠5 | Vertical Angles
m∠5 ≅ m∠7 | Corresponding Angles Theorem
m∠3 ≅ m∠7 | Transitive Property of Equality
m∠7 = 135° | Definition of Congruent Angles