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scoundrel [369]
3 years ago
12

Find the value of sec θ for the angle shown

Mathematics
1 answer:
amm18123 years ago
4 0
\bf (\stackrel{\stackrel{x}{adjacent}}{7}~~,~~\stackrel{\stackrel{y}{opposite}}{6})\impliedby \textit{let's find the \underline{hypotenuse}}
\\\\\\
\textit{using the pythagorean theorem}\\\\
c^2=a^2+b^2\implies c=\sqrt{a^2+b^2}\qquad 
\begin{cases}
c=hypotenuse\\
a=adjacent\\
b=opposite\\
\end{cases}
\\\\\\
c=\sqrt{7^2+6^2}\implies c=\sqrt{85}\\\\
-------------------------------\\\\
sec(\theta)=\cfrac{hypotenuse}{adjacent}\qquad \qquad sec(\theta)=\cfrac{\sqrt{85}}{7}
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Answer:

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Step-by-step explanation:

Width= 10

Length= 10*4= 40

10+10+40+40= 100 cm

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Mkey [24]

Answer:You can divide 54.50 by just 20% with it being 272.5

Step-by-step explanation: You can use it be fraction by dividing it by 20 then you have 2.725 which is the answer.

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Are the lines parallel, perpendicular, or neither?<br> y = 7x +3<br> y = 1/7x - 5
Oduvanchick [21]

Answer:

Neither (Answer)

Step-by-step explanation:

Comparing both the equations with slope-intercept form (y = mx + c), where 'm' is the (slope/gradient) and and 'c' is the (y-intercept).

  • If slopes are equal then the lines are parallel
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  • Otherwise, lines are intersecting (Neither)

Note: If the slopes are equal as well as the y-intercepts then they are same lines (overlapping) i.e lines are scaler multiple of each other.

Slope of line 1 = m1 = 7

slope of line 2 = m2 = 1/7

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2 years ago
Given m&lt;12 =121 and m&lt;6 =75 find the measure of the missing angles
zavuch27 [327]

Answer:

a. m∠1 = 75°

b. m∠2 = 46°

c. m∠3 = 59°

d. m∠4 = 59°

e. m∠5 = 46°

f. m∠7 = 121°

g. m∠8 = 59°

h. m∠9 = 62°

i. m∠10 = 118°

j. m∠11 = 59°

k. m∠13 = 118°

i. m∠14 = 62°5

Example 5

m∠1 =78°

m∠2 = 102°

m∠3 = 59°

m∠4 = 102°

m∠5 =  38

m∠6 = 142°

m∠7 = 38°

m∠8 = 142°

m∠9 = 78°

m∠11 = 78°

m∠12 =  102°

m∠13 = 38°

m∠14 =  142°

Step-by-step explanation:

a. m∠1 ≅ m∠6 (Alternate angle theorem)

m∠1 = m∠6 = 75° (Definition of congruency)

m∠1 = 75°

b. m∠12 = m∠5 + m∠6 (Angle addition postulate/Corresponding angles)

m∠5 = 121° - 75° = 46°

m∠5 = 46°

m∠2 ≅ m∠5 (Alternate angle theorem)

m∠2 = m∠5 = 46° (Definition of congruency)

m∠2 = 46°

c. m∠3 = 180 - (m∠1 + m∠2) (Angle subtraction and sum of angles on a straight line)

m∠3 = 180 - (75 + 46) = 59°

m∠3 = 59°

d. m∠4 = 180 - (m∠1 + m∠5)

m∠4 = 180 - (75 + 46) = 59°

m∠4 = 59°

e. m∠12 = m∠5 + m∠6 (Angle addition postulate/Corresponding angles)

m∠5 = 121° - 75° = 46°

m∠5 = 46°

f. m∠7 = m∠12 = 121° (Alternate angle theorem)

m∠7 = 121°

g. m∠8 = 180 - m∠7 = 180 - 121 = 59°

m∠8 = 59°

h. m∠9 + m∠5 + m∠8 = 180 (The sum of the interior angles of a triangle)

m∠9 = 180 - (59 + 59) = 62°

m∠9 = 62°

i. m∠10 = 180 - m∠9 = 180 - 62 = 118°

m∠10 = 118°

j. m∠11 = m∠8 = 59°

m∠11 = 59°

k. m∠13 = m∠10 = 118°

m∠13 = 118°

i. m∠14 = m∠9 = 62°

m∠14 = 62°

Example 5

m∠5 = m∠7 = 38

m∠5 =  38°

m∠6 = 180 - 38 = 142°

m∠6 = 142°

m∠8 = m∠6 = 142°

m∠8 = 142°

m∠12 = m∠10 = 102°

m∠12 =  102°

m∠11 = 180 - m∠12 = 180 - 102 = 78°

m∠11 = 78°

m∠9 = m∠11 = 78°

m∠9 = 78°

m∠1 = m∠9 = 78°

m∠1 =78°

m∠3 = 78°

m∠2 = m∠4 = m∠10 = 102°

m∠13 = 360 - (m∠3 + m∠6 + m∠12) = 360 - (78 + 142 + 102) = 38°

m∠13 = 38°

m∠15 = 38°

m∠14 = m∠16 = 180 - m∠15 = 180 - 38° = 142°

m∠14 =  142°

m∠16 = 142°

8 0
3 years ago
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