Answer:
m∠6 = 116°
Step-by-step explanation:
<u>first find x:</u>
7x - 17 = 2x + 78
subtract 2x from both sides: 5x - 17 = 78
add 17 to both sides: 5x = 95
divide by 5: x = 19
<u>plug x into 7x - 17</u>
7(19) - 17 = 116
∠6 and 7x - 17 are vertical angles and therefore congruent, so m∠6 also = 116°
Answer:
x = -1
y = 1
Step-by-step explanation:
<u><em>Since it gives you "y", plug in the number given into the equation:</em></u>
y = -6x - 5
1 = -6x - 5
<u><em>Then, add 5 to both sides:</em></u>
1 = -6x - 5
+5 + 5
________
6 = -6x
<em><u>Divide both sides by -6:</u></em>
6 = -6x
-1 = x
So now you have, x = -1 and y = 1
2x-2+x+5=90
3x+3=90
-3 -3
3x/3 =87/3
x=29
Let the number of adults be x, then number of male students is 1 + 7x and the number of female students is (1 + 7x)/2.
x + 1 + 7x + (1 + 7x)/2 = 82
2x + 2 + 14x + 1 + 7x = 164
23x = 164 - 2 - 1 = 161
x = 161/23 = 7
Therefore, number of male students is 1 + 7(7) = 1 + 49 = 50
and the number of female students is 50/2 = 25.
38.94 rounded to the nearest tenth. To know if we should round up or down, we look to the number in the hundredths place. If that number is 5 or greater, we round up. If the number is 4 or less, we round down
38.94
The number is 4, so we round down. 38.94 becomes 38.9
65.45 rounded to the nearest tenth. To know if we should round up or down, we look to the number in the hundredths place. If that number is 5 or greater, we round up. If the number is 4 or less, we round down.
65.43
The number is 3, so we round down. 65.43 becomes 65.4
38.9+65.4= 104.3
If you were to estimate 38.94+65.43, we round the number to numbers that we can easily calculate in our head. 38.94+65.43 becomes 40+65
40+65=105