Answer:
#5
x = 45
E
Step-by-step explanation:
Theorems you need:
- The measures of 2 adjacent angles that form a straight line with the outer sides add up to 180°.
- The sum of the interior angles of a triangle add up to 180° ((n-2)×180).
#5
Knowing those, you first want to find the triangle's 3 interior angles.
The angles <QSO & <QSR are adjacent (share a common ray) and form a straight line with the outer rays, therefore they add up to 180.
So m<QSO+m<QSR=180.
Rewrite the equation: m<QSR=180-m<QSO
Plug the known value in: m<QSR=180-(3x-17)
Distribution & Combining like terms: m<QSR=180-3x+17=197-3x
Now solve for the 3 interior angles to equal 180.
(197-3x)+(25)+(2x+3)=180
Combine like terms: 225-x=180
Isolate the x term (-225 to both sides): -x=180-225=-45
Isolate the x (×-1 to both sides):
x=45
Answer: Explanation:
You need to factor this quadratic by playing with multipliers for 6 (1x6, 2x3, 3x2, 6x1) and multipliers for 2 (1x2, 2x1):
(
2
x
+
1
)
(
3
x
+
2
)
=
0
Now we can solve each term for
0
:
2
x
+
1
=
0
2
x
+
1
−
1
=
0
−
1
2
x
=
−
1
2
x
2
=
−
1
2
x
=
−
1
2
and
3
x
+
2
=
0
3
x
+
2
−
2
=
0
−
2
3
x
=
−
2
3
x
3
=
−
2
3
x
=
−
2
3
Answer:
The probability is
Step-by-step explanation:
From the question we are told that
The population mean is
The population standard deviation is
The sample size is
Generally the standard deviation of sample mean is mathematically represented as
=>
=>
Generally the probability that the sample mean would be greater than 103.7 gallons is mathematically represented as
Generally
So
From the z table the probability of (Z > -2.203 ) is
So
Answer:25%
Step-by-step explanation:
just cross multiply thus cost will be 75,profit would be 25 if sales will be 100.