Answer:
144º
Step-by-step explanation:
(n-2)180 = total º inside, then subtract all the angles u know u have from that number
<span>Given :
(x + 3)y = 14
Substituting the coordinate pairs and see if they satisfy :
</span><span>C. (11, 1) works.
</span><span>Because :
putting x = 11,
we get,
(11 + 3)y = 14
14y = 14
y = 1
</span>
Answer:
21) 27
22) 2 (the third one has a few people in it)
Step-by-step explanation:
9 dozen= 12 to a dozen
108
=27
Answer:
∠3 and ∠5
Step-by-step explanation:
Let <em>n</em> be the unknown number. We can write it as
<em>n</em> = 10<em>a</em> + <em>b</em>
with <em>a</em> and <em>b</em> integers between 1 and 9 (either with positive or negative sign).
Reversing the digits gives another number
<em>m</em> = 10<em>b</em> + <em>a</em>
The first number is increased by 54 when the digits are reversed, which means
<em>m</em> = <em>n</em> + 54 → 10<em>b</em> + <em>a</em> = 10<em>a</em> + <em>b</em> + 54 → 9<em>b</em> - 9<em>a</em> = 54 → <em>b</em> - <em>a</em> = 6
The digit in the tens place of <em>n</em> is 3 times the digit in the ones place, so
<em>a</em> = 3<em>b</em>
Substitute this into the previous equation and solve for <em>b</em> :
<em>b</em> - <em>a</em> = <em>b</em> - 3<em>b</em> = -2<em>b</em> = 6 → <em>b</em> = -3
Solve for <em>a</em> :
<em>a</em> = 3<em>b</em> = 3(-3) = -9
Then the original number is <em>n</em> = 10<em>a</em> + <em>b</em> = 10(-9) + (-3) = -93
