Answer:
n=2
Step-by-step explanation:
Simplify.
6−3(n−2)=8−n
6+(−3)(n)+(−3)(−2)=8+−n(Distribute)
6+−3n+6=8+−n
(−3n)+(6+6)=−n+8(Combine Like Terms)
−3n+12=−n+8
−3n+12=−n+8
Add n to both sides.
−3n+12+n=−n+8+n
−2n+12=8
Subtract 12 from both sides.
−2n+12−12=8−12
−2n=−4
Divide both sides by -2.
-2n/-2 = -4/-2
n=2
Answer:
135
Step-by-step explanation:
if mK is 90 then mD is 60 and mS is 30. since the new point is in the middle of the triangle divide 60 and 30 by 2. Now mD is 30 and Ms is 15 so 30+15=45 so 180-45=135
Answer:
1st blank: $51.00. 3rd blank: 1.1 5th blank: 24.2
2nd blank: $67.00. 4th blank: 91.30. 6th blank: -57.4
Step-by-step explanation:
Hi!
You can find the value of x by the fact that as triangle CBE and CKE are congruent. The reason you can see the triangles are congruent is because of the AAS congruence postulate, where if two angles are the same and a non included side are congruent, the triangles are similar. In this case, angle CKE and angle CBE, are congruent, and CEB and CEK are congruent as well. (They're marked out as congruent.) The line CE is congruent to the other CE in the other triangle, because they are the same line.
Since you know the triangles are congruent, according to CPCTC (corresponding parts in congruent triangles are congruent), and line CK is congruent to line CB, line CK is congruent to CB, and has the same measure.
Therefore, you can set the measures of CB (5x - 3) and CK (3x + 1) equal to another and solve for x.
5x - 3 = 3x + 1
5x -3 + 3 = 3x + 1 + 3
5x = 3x + 4
5x - 3x = 3x - 3x + 4
2x = 4
2x / 2 = 4/2
x = 2, or choice C.
Hope this helps!
The answer is 670.408, because 6x100=600, 7x10=70, 4x1/10 as a decimal is 0.4, 8x1/1,000 as a decimal is 0.008. Then, you add all of those
.