Answer:
Un= 1+(n-1)6
Step-by-step explanation:
a = 1
d= 7-1= 13-7= 6
and using the formula, Un= a+(n-1)d
X-4/3=10
Multiply 3 on both sides
x-4=30
Add 4 to both sides
Final Answer: x=34
Step-by-step explanation:
5. 6x-8=9x+4
6x - 9x = 4+8
-3x = 12
x = -4
check, 6(-4) - 8=9(-4) + 4
-24-8 = -36+4
-32 = -32
6. 5a - 10 = 9a - 6
5a-9a = -6+10
-4a = 4
a = -1
check, 5(-1) -10 = 9(-1) -6
-5-10 = -9-6
-15 = -15
7. 8m-24 = 9-3m
8m + 3m = 9+24
11m = 33
m = 3
check, 8(3)-24 = 9- 3(3)
24-24 = 9-9
0 = 0
8. 10- 3z = z + 30
10-30 = z +3z
-20=4z
-5 = z
check, 10 - 3(-5) = (-5)+30
10+15 = 25
25=25
9. 3k - 14 = 10 +5k
3k - 5k = 10+14
-2k = 24
k = -12
check, 3(-12)-14 = 10+5(-12)
-36-14 = 10-60
-50 = -50
10. 6c + 8 = 2c -16
6c - 2c = -16-8
4c = -24
c = -6
check, 6(-6)+8 = 2(-6) - 16
-36 + 8 = -12 - 16
-28 = -28
The measure of the angle PUT is 13 degrees and the measure of the angle PQR = 21 degrees
<h3>What is an angle?</h3>
When two lines or rays converge at the same point, the measurement between them is called a "Angle."
We have triangles shown in the picture.
In the first triangle SUT:
PU is bisecting the angle SUT:
The measure of angle PUT:
Angle PUT = Half of Angle SUT
= 26/2
= 13 degrees
In the triangle SQR:
Angle SQP = Angle PQR
Angle SQP = 21 degrees
Angle PQR = 21 degrees
Thus, the measure of the angle PUT is 13 degrees and the measure of the angle PQR = 21 degrees
Learn more about the angle here:
brainly.com/question/7116550
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