We know that the sum of the inner angles of any triangle is 180º
72º + (7x + 3)º + (3x + 5)º = 180º
72º + 7xº + 3º + 3xº + 5º = 180
7xº + 3xº = 180º - 72º - 3º - 5º
10xº = 100º


The sum of the external angle (9y + 1)º with inner angle (3x + 5) = 180 °, <span>Replace the measure of "x" found:
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(9y + 1)º + (3x + 5)º = 180º
9yº + 1º + 3xº + 5º = 180º
9yº + 1º + 3.(10)º + 5º = 180º
9yº + 1º + 30º + 5º = 180º
9yº = 180º - 1º - 30º - 5º
9yº = 144º


Answer:
<span>
The measures of "x" and "y" are respectively: 10º and 16º</span>
Answer:

Step-by-step explanation:

Probability of drawing a heart from one deck:

Therefore, probability of drawing a heart from each of 3 decks:

Answer:
4.4%
Step-by-step explanation:
solution:
principal (p) = $300
time(t) = 3 years
interest (I ) =$40
rate (r) = ?
we know that,
I = (PTR)/100*
OR, 40 = (300 *3 * R)/100
or, 40 = (900R)/100
or, 40 = 9R
or, 40/9 = R
or, R = 4.4%
Rate(r) =4.4%
Well, this can be interpreted as 1/10 ÷ 6/19
Whenever you are dividing fractions, you have to change the division sign to a multiplication sign and turn the fraction on the right upside down. By this, i mean;
1/10 × 19/6
That will be;
1x19/10x6
19/60. So your answer is 19/60. And it is already in it's simplest form because nothing else can divide the two numbers. Hope i helped. Have a nice day. If you have any more problems on this, let me know and i will be glad to help.
Answer:
g(7) = 4
Step-by-step explanation:
According to the graph, g(7) = 4