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Roman55 [17]
2 years ago
6

Complementary and

Mathematics
2 answers:
ipn [44]2 years ago
7 0

Answer:

The measurement of x is <u>42⁰</u>.

Step-by-step explanation:

<u>SOLUTION</u> :

Here, we can see that the given figure is complementary angle.

As we know that two angles are said to be complementary angles if they add up to 90 degrees.

<u>Now, according to the question</u> :

\longmapsto{\sf{Sum \:  of \:  two  \: angles =  {90}^{ \circ}}}

\longmapsto{\sf{Angle_1 + Angle_2  =  {90}^{ \circ}}}

\longmapsto{\sf{{48}^{ \circ}  + {x}^{\circ}  =  {90}^{ \circ}}}

\longmapsto{\sf{{x}^{\circ}  =  {90}^{ \circ} -  {48}^{\circ} }}

\longmapsto{\sf{{x}^{\circ}  = {42}^{\circ} }}

\star{\underline{\boxed{\sf{\pink{{x}^{\circ}  = {42}^{\circ}}}}}}

Hence, the measurement of x is 42⁰.

\rule{300}{2.5}

chubhunter [2.5K]2 years ago
5 0

Answer:

\boxed{\boxed{\sf x=42\°}}

Step-by-step explanation:

Given the diagram, we can see that ∠PQR and ∠RQS are complementary angles.

*Two angles with measures that add up to 90° are known as Complementary angles.*

Therefore, m∠PQR+m∠RQS=90°

\sf \angle PQR+\angle RQS=90\°

\sf 48+x=90\°

Subtract 48 from both sides:

\sf 48+x-48=90-48

\sf x=42\°

<u>_______________________________</u>

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Which do the following equations represent? -4x-5y=-4 and 10x-8y=-1
kicyunya [14]
Parallel have same slope
Perpendicular have opposite reciprocal slopes. Ex. 2/3 is slope of one line so the perpendicular line would have slope of -3/2.

Find slopes of these lines.

-4x-5y=-4
-4x+4 =5y
Divide by 5

Y= -4x/5 +4/5

Second line: 10x-8y=-1

10x+1=8y
Divide by 8

10x/8 +1/8 =y

Y= 5x/4 +1/8

So if you look at slope of line 1= -4/5 and line 2 it’s 5/4 so these both are perpendicular.
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3 years ago
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MrMuchimi

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Step-by-step explanation:

Take out the greatest common factor of (4b - 6) which is 2 and 3.

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Step-by-step explanation:

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