Answer:
y° = 110°
z° = 26°
Step-by-step explanation:
Looking at the above geometry, we have two parallel lines , m and m
We have been asked to solve for y° and z°
Step 1
We solve for y°
On line n , we have can see that 70° and y° are CONSECUTIVE INTERIOR ANGLES
It is important to note that THE SUM OF TWO CONSECUTIVE INTERIOR ANGLES = 180°
Hence,
70° + y° = 180°
y° = 180° - 70°
y° = 110°
Step 2
Solve for z°
Looking at the geometric diagram we can see that
y° and (6z - 46) ° are ALTERNATE INTERIOR ANGLES
This means
y° = (6z - 46) °
In step 1 , we have already solved for y°
y° = 110°
Hence,
110° = (6z - 46) °
110° = 6z° - 46°
collect like terms
110° + 46° = 6z°
156° = 6z°
Divide both sides by 6
156°/6 = z°
z° = 26°
Therefore, the value y = 110° and the value of z = 26°
Ur graph.....u have a line that has a y int of -2....it has a slope of 3....it has a solid line...so there is no equal sign...it is shaded above the line, so it is greater then.....y > = 3x - 2
u have another line that has a y int of 2....it has a slope of -1/2....it has a solid line...so there is an equal sign in the problem...it is shaded below the line...so it is less then....
y < = -1/2x + 2
1/2x + y < = 2...multiply by 2
x + 2y < = 4
so ur answer is : y > = 3x - 2 and x + 2y < = 4...the 2nd one
Hello,
y=1/9 x-2
==>x=1/9 y -2
==>9x=y-18
==>y=9x+18
f^(-1)(x)=9x+18
Answer:
A
Step-by-step explanation:
A linear function describes a straight line with constant gradient. Hence A is the answer as it has a constant gradient of -1 .
B is wrong as the graph has an undefined gradient.
C is wrong as it has an increasing gradient.
D is wrong as it does not have a constant gradient too.
The first step to solving this is converting these mixed numbers into improper fractions. You would do that by multiplying the denominator by the whole number and adding the numerator to that number; this number replaces the numerator. It would look something like this:
1 8/10 --> 18/10
2 2/5 --> 12/5
Now, to subtract the second fraction from the first one, the denominators of both fractions must be the same. We can make them the same by multiplying the second fraction by 2:
12/5 * 2/2 = 24/10
Now we can set up the equation as:
18/10 - 24/10 = -6/10 --> -3/5
The answer is negative 3/5.
I hope this helps.
