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3 years ago

9

Two parallel lines, cut by transversal, are shown. One of the acute angles formed measures 80. Find the measures of all the othe

r angles

1 answer:

musickatia [10]3 years ago

4 0

The one across it is 100 and on both sides

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From the diagram below, if the sides AD = 3 and DC = 27, and BD = X + 3, find x.

Colt1911 [192]

Given:

• AD = 3

,

• DC = 27

,

• BD = x + 3

Let's solve for x.

To solve for x, apply the altitude formula:

$\frac{AD}{BD}=\frac{BD}{DC}$

Where BD is the altitude.

Cross multiply:

$BD^2=AD*DC$

Plug in the values and solve for x:

$\begin{gathered} (x+3)^2=3*27 \\ \\ (x+3)^2=81 \end{gathered}$

Take the square root of both sides:

$\begin{gathered} \sqrt{(x+3)^2}=\sqrt{81} \\ \\ x+3=9 \\ \\ \text{ Subtract 3 from both sides:} \\ x+3-3=9-3 \\ \\ x=6 \end{gathered}$

Therefore, the value of x is 6 .

ANSWER:

d. 6

4 0

1 year ago

( − 35 − 42 − 63 ) ∶ ( + 7 )

olga nikolaevna [1]

(-35-42-63)/7= (-140)/7=-20

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3 years ago