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AnnyKZ [126]
2 years ago
8

What is the measure of the angle that is complementary to the given angle?

Mathematics
1 answer:
katrin2010 [14]2 years ago
8 0

Answer:

36°

Step-by-step explanation:

Complementary angles: The measure of two angles adds up to 90°.

90° - 54° = 36°

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Step-by-step explanation:

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ABC and CBD form a linear pair and have equal measures. Tell if ABC is acute, right, or obtuse
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To form a linear pair means that when added, they equal 180 degrees.
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Choose the correct simplification of the expression (2ab5)3. (1 point) Question 8 options: 1) 8ab15 2) 8a3b8 3) 5a3b15 4) 8a3b15
d1i1m1o1n [39]

Answer:

4). 8a^{3}b^{15}

Step-by-step explanation:

The Given expression is that,

(2ab^{5})^{3}

On simplifying,

(2ab^{5})^{3} = (2ab^{5} )(2ab^{5}) (2ab^{5})

= (2^{3} ) * (ab^{5})^{3}

= (2×2×2) × (ab^{5} × ab^{5} × ab^{5})

= 8a^{3}b^{15}

Thus, <u>option 4</u> i.e.  8a^{3}b^{15} is the correct simplification of the given expression.

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2 years ago
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Solve the equation and graph the solution(s), if possible. 9|4p + 2| + 8 = 35
Cerrena [4.2K]
Solving an equation means finding a value of a variable that make the equation true. This value is called the solution of the equation.<span> A mathematical equation is just like a balanced equation. Both sides of the equation should be equal at all times. </span><span>Whatever we do to one side, has to be done on the opposite side.</span>

9|4p + 2| + 8 = 35 

&#10;9|4p+2|=35-8&#10; &#10;                Subtract \ 8 \ from \ both \ sides
 
9|4p+2|=27&#10;&#10; &#10; 

|4p+2|= \dfrac{27}{9}    Divide \ both \ sides \ by \ 9

|4p+2|=3 

Break \ down \ the \ problem \ into \ these \ 2 \ equations 

&#10;4p+2=3&#10; &#10; 

-(4p+2)=3 

Solve \ the \ 1st \ equation: \ 4p+2=3 

4p=3-2   <span> Subtract \ 2 \ from \ both \ sides 
</span>
4p=1 

p= \dfrac{1}{4}   <span> Divide \ both \ sides \ by \ 4 
</span>
Solve \ the \ 2nd \ equation: \ -(4p+2)=3 

-4p−2=3   Simplify \ brackets 

-4p=3+2      <span> Add \ 2 \ to \ both \ sides 
</span>
-4p=5 

p= -\dfrac{5}{4} 

Collect \ all \ solutions 

p= -\dfrac{5}{4} , p= \dfrac{1}{4} 
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3 years ago
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