Answer:
43°
Step-by-step explanation:
(x + 53)° + (x + 74)° + 73° = 180°
(x + 53 + x + 74)° = 180° - 73°
(2x + 127)° = 107°
2x + 127 = 107
2x = 107 - 127
2x = - 20
x = - 20/2
x = - 10
Answer:
Step-by-step explanation:
p = power washer and g = generator
6p + 6g = 90 .....multiply by 4
4p + 8g = 100 ....multiply by -6
---------------------
24p + 24g = 360 (result of multiplying by 4)
-24p - 48g = -600 (result of multiplying by -6)
---------------------add
-24g = - 240
g = -240 / -24
g = 10 <=== the generator cost $ 10 per hr
6p + 6g = 90
6p + 6(10) = 90
6p + 60 = 90
6p = 90 - 60
6p = 30
p = 30/6
p = 5 <==== the power washer costs $ 5 per hr
check...
4p + 8g = 100
4(5) + 8(10) = 100
20 + 80 = 100
100 = 100 (correct)
Answer (x,y) (3, -2)
Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we
can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
Answer: Irrational number
If the decimal digits repeat forever, then the repeating decimal is considered rational.
For instance, 2/99 = 0.020202020202... where the "02" repeats forever
If we don't have such a pattern, then we cannot write the decimal as a fraction of two integers and the number is not rational. So it is irrational.
52x38=1976, 1976 is the answer