We know that m ║ n.
Let's first find the value 'x'.
When two lines are parallel, and a transversal is drawn, the angles on the same side of the transversal are equivalent.
This means that (5x + 16)° and (7x + 4)° are equivalent.
Equating them,
5x + 16 = 7x + 4
16 - 4 = 7x - 5x
12 = 2x
x = 12/2
x = 6°
Since we know the value of 'x', let's substitute them into the angles and find out the actual measurements.
5x + 16 = 5 × 6 + 16 = 30 + 16 = 46°.
7x + 4 = 7 × 6 + 4 = 42 + 4 = 46°.
Now let's find the value of 'y'.
If you observe carefully, (7x + 4)° and (y + 6)° form a linear pair.
This means that both those angles should add upto 180°.
Using that theory, the following equation can be framed:
(y + 6)°+ (7x + 4)° = 180°
Since we know the actual value of (7x + 4)°, let's substitute that value and move ahead.
(y + 6)° + 46° = 180°
y + 6 + 46° = 180
y + 52° = 180°
y = 180° - 52°
y = 128°
Therefore, the values of 'x' and 'y' are 46° and 128° respectively.
Hope it helps. :)
(x-3)^2 + (y-5)^2 = 74
Radius is about 8.602
Answer:
652997
Step-by-step explanation:
1.23*18=22.14
22.14*29,494=652997.16
round it down to get 652997
Answer:
Step-by-step explanation:
first do 72times2,32times2,92times2, then add them all
A ratio shows us the number of times a number contains another number. The ratio of the number of programs Abby handed out to the number programs Kim handed out is 5/6.
<h3>What is a Ratio?</h3>
A ratio shows us the number of times a number contains another number.
At the school play Abby handed out 250 programs and Kim handed out 300. Therefore, the ratio of the number of programs Abby handed out to the number programs Kim handed out is,
Ratio = (Number of programs Abby handed out)/(Number of programs Kim handed out)
Ratio = 250 / 300 = 5/6
Hence, the ratio of the number of programs Abby handed out to the number programs Kim handed out is 5/6.
Learn more about Ratios:
brainly.com/question/1504221
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