The ratio of the same side angles of two parallel lines is 1:14. Find all angles.

1 answer:

5 0

The angles that lie at the same side of parallel lines are known to be always supplement of each other. This means that when we add them together, the value is 180°. If we let x be the common factor for the measures of the angle, the equation that we could use to determine the answer is,

x + 14x = 180°

The value of x from the equation is 12. Hence, the angles are,

x = 12
14(12) = 168

Answer: 12° and 168°

You might be interested in

Divide. −4 1/3÷−2 3/5 123 145 215 235

Over [174]

Answer:

1.66666666667

Step-by-step explanation:

6 0

2 years ago

Someone help me with this please

storchak [24]

Answer:

x = 114

Step-by-step explanation:

180 - 105 = 75

39 + 75 = x

x = 114

8 0

2 years ago

The area of a rectangle is 40 meters. One of the sides is 10 meters. What are the measurements, in meters, of the

masya89 [10]

Answer:

Step-by-step explanation:

3 0

2 years ago

How can I find the exact distance between the points(√7,-√2)and (4√7,5√2)

chubhunter [2.5K]

$\bf \textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ \sqrt{7}}}\quad ,&{{ -\sqrt{2}}})\quad 
% (c,d)
&({{4\sqrt{7}}}\quad ,&{{ 5\sqrt{2}}})
\end{array}~~~
% distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}
\\\\\\
$

$\bf d=\sqrt{[4\sqrt{7}-\sqrt{7}]^2~+~[5\sqrt{2}-(-\sqrt{2})]^2}
\\\\\\
d=\sqrt{(4\sqrt{7}-\sqrt{7})^2~+~(5\sqrt{2}+\sqrt{2})^2}\implies d=\sqrt{(3\sqrt{7})^2~+~(6\sqrt{2})^2}
\\\\\\
d=\sqrt{3^2\cdot 7~~+~~6^2\cdot 2}\implies d=\sqrt{63+72}\implies d=\sqrt{135}
\\\\\\
\begin{cases}
135=5\cdot 3\cdot 3\cdot 3\\
\qquad 5\cdot 3^2\cdot 3\\
\qquad 15\cdot 3^2
\end{cases}\implies d=\sqrt{15\cdot 3^2}\implies d=3\sqrt{15}$

8 0

3 years ago

Please help me with this question image attached

Mumz [18]

Answer: (D) 9

Step-by-step explanation:

This is an isosceles triangle. Since the legs are congruent, then the base angles are congruent.

9x + 3 = 84

- 3 -3

9x = 81

÷9 ÷9

x = 9

8 0

3 years ago