Answer:
3x+2=16
Step-by-step explanation:
Answer:
<1 and <6 = 98
<2 and <3 = 139
<4 and <5 = 123
Step-by-step explanation:
82 + 9x - 6 + 6x - 1 = 180
15x + 75 = 180
15x = 105
x = 7
<1:
x + 82 = 180
x = 98
<2:
6x - 1 = 6(7) - 1 = 41
x + 41 = 180
x = 139
<3 = <2 because of vertical angle thm so <3 = 139
<5:
9x - 6 = 9(7) - 6 = 57
x + 57 = 180
x = 123
<4 = 5 because of vertical angle thm
<6 = <1 because of vertical angle thm
We are given the following data: <span>x = 2t, y = t + 5, -2 ≤ t ≤ 3. The data is valid since there are three unknowns in this problem and that three equations would suffice to answer the problem.
We start with the given </span>-2 ≤ t ≤ 3 then substitute y = t +5 by using the limits of the range:
at t = -2 ; y = -2 + 5 = 3
at t = 3, y = 3+5 = 8
for the second equation
at t = -2 ; x = 2*-2 =-4
at t=3; x = 2*3 = 6
we group the points based on their original corresponding t's
(3,-4) and (8,6) we just have to connect these points along with the internal points in between. The relationship should be linear.
<h3>20 subtracted from three times a number is 6 more than the number. Then the number is 13</h3>
<em><u>Solution:</u></em>
<em><u>Given statement is:</u></em>
20 subtracted from three times a number is 6 more than the number
We can translate the sentence into algebraic expression
Let "a" be the unknown number
Then,
20 subtracted from three times "a" is 6 more than "a"
Which means,
3a - 20 = 6 + a
3a - a = 6 + 20
2a = 26
Divide both sides by 2
a = 13
Thus the number is 13
Answer:
The correct answer is m∠2 = 120°
Step-by-step explanation:
There is a triangle rule that states the outer angle of an angle in a triangle is equal to the sum of the remaining two angles in that triangle, which means that m∠2 = 52° + 68° = 120°. This can be proven correct because the sum of two of the angles in the triangle is 120°, which means the final angle is 60°. Since m∠2 is the outer angle of 60°, that means it will be 180° - 60° or 120°.
