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il63 [147K]
3 years ago
11

If K(5,-2) is rotated 90°, what will be the coordinates of its image?

Mathematics
1 answer:
Karo-lina-s [1.5K]3 years ago
5 0
K’(-5,2) is the answer
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Find the measure of the exterior angle. *
MatroZZZ [7]

Step-by-step explanation:

✧ \underline{ \underline{ \large{ \tt{S \: O \: L \: U \: T \: I \: O \: N}}} }:

  • Set up an equation and solve for x :

⋆ \large{ \bf{(4x + 9) \degree = 2x \degree + (3x - 12) \degree}} [ Exterior angle is always equal to the sum of two non - adjacent interior angles ]

~Remove the unnecessary brackets

⟶ \large{ \bf{4x \degree + 9 \degree = 2x \degree + 3x \degree - 12 \degree}}

~Add the like terms : 2x ° & 3x°

⟶ \large{ \bf{4x \degree + 9 \degree = 5x \degree - 12 \degree}}

~Move 4x to right hand side and change it's sign

~Similarly move 12 to left hand side and change it's sign

⟶ \large{ \bf{9 \degree + 12 \degree = 5x  \degree - 4x \degree}}

⟶ \large{ \bf{21 \degree = x \degree}}

⟶ { \large{ \bf{x  = 21 \degree}}}

  • Now , Substituting the value of x in (4x+9)° [ Exterior angle ]

⤿ \large{ \bf{4 \times 21 \degree + 9 \degree}} =  \boxed{93 \degree}

☥ \boxed{ \boxed{ \large{ \tt{Our \: Final \: Answer :  \boxed{ \underline { \tt{93\degree}}}}}}}

Hope I helped ! ツ

Have a wonderful day / night ! ♡

❅ Let me know if you have any questions regarding my answer! ❅

☞ \underline{ \underline{ \mathfrak{Carry \: On \: Learning}}} !! ✎

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6 0
3 years ago
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Using the distributive property, Marta multiplied the binomial (2x + 3) by the trinomial (x2 + x – 2) and got the expression bel
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Answer:

2x3+2x2-4x+3x2+3x-6

2x3+5x2-x-6

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the independent variable is the length of the side of a cube and the dependent is the volume of a cube. Is this relationship a f
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The relation is y = x^3, for x > 0.
If you graph it, you'll see that it passes the vertical line test, so it is a function.
8 0
3 years ago
suppose you work at a job where your pay varies directly as the number of hours you work.Your pay for 7.5 hours is $45. Find you
Maksim231197 [3]
You will get paid $180 because there are 4, 7.5 hours in 30 hours so you multiply $45*4 and you get $180

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4 0
3 years ago
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<img src="https://tex.z-dn.net/?f=7%20%2B%205%20-%2012%20%5Cdiv%204" id="TexFormula1" title="7 + 5 - 12 \div 4" alt="7 + 5 - 12
anzhelika [568]
The answer would be 9
4 0
3 years ago
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