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3 years ago

What is m∠D? Enter your answer in the box.

Mathematics

1 answer:

Alex73 [517]3 years ago

3 0

Answer:

D = 32

Step-by-step explanation:

A+ B + E = 180 since they form a triangle

14+ 45 + E = 180

E = 180 -14-45

E =121

E on either triangle is the same since they are vertical angles

C+D+E = 180 since they form a triangle

27+ D + 121 = 180

D = 180-121-27

D =32

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Lines 3x-2y+7=0 and 6x+ay-18=0 is perpendicular. What is the value of a?

BlackZzzverrR [31]

Answer:

$\boxed{\sf a = 9 }$

Step-by-step explanation:

Two lines are given to us which are perpendicular to each other and we need to find out the value of a . The given equations are ,

$\sf\longrightarrow 3x - 2y +7=0$

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Step 1 : Convert the equations in slope intercept form of the line .

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Step 2: Find the slope of the lines :-

Now we know that the product of slope of two perpendicular lines is -1. Therefore , from Slope Intercept Form of the line we can say that the slope of first line is ,

$\sf\longrightarrow Slope_1 = \dfrac{3}{2}$