Answer:
4 × ( 9 + 2z)
Step-by-step explanation:
36 + 8z = 4 × (9) + 4 × (2z) ; so here 4 is a common factor
= 4 × ( 9 + 2z)
we can also write it like this
36 + 8z = 2 × ( 18 + 4z)
Answer:
Kay made 8 phone calls
Stephanie made 13 phone calls
Explanation:
Assume the number of phone calls that Stephanie made is x.
We are given that:
Kay made 5 phone calls less than Stephanie.
This means that:
Kay made x-5 phone calls
We know that the total number of phones is 21.
This means that:
21 = x + x - 5
Now we solve for x as follows:
21 = x + x - 5
21 = 2x - 5
2x = 26
x = 26/2
x = 13
This means that:
Stephanie made x = 13 phone calls
Kay made x - 5 = 13 - 5 = 8 phone calls
Hope this helps :)
Answer:
x =
25
/(1 − sin(y
)) and y ≠
π/2 +2πn
Step-by-step explanation:
Let's solve and simplify for x,
(x − 25
)/ x = sin(y)
Let's multiply both sides by x
((x − 25
)/x) *x= sin(y)*x
Then,
x − 25 = sin(y) * x
Let's add 25 to both sides
x − 25 + 25 = sin(y) * x + 25
If simplify again,
x = sin(y) * x + 25
Then we need subtract sin y x from both sides
x − sin(y) * x = sin (y)* x + 25 − sin (y)* x
It will equal:
x − sin (y)* x = 25
Factor x−sin(y) x: x(1−sin(y) ), then we get:
x (1 − sin(y)) = 25
Finally we need divide both sides by 1 − sin(y) ; y ≠π
/2
+ 2πn
And it will give us this equation:
x =
25
/(1 − sin(y
)) and y ≠
π/2 +2πn
Answer:
66 degree
Step-by-step explanation:
given:
angle FAB = 48 degree
angle ECB = 18 degree
in triangle HBC , angle H is also 48 degree degree since the line is parallel the connection between angle H and angle A is alternate interior angle and alternate interior angle are always equal.
so angle H = 48 degree
in triangle HBC
angle H + angle C = angle ABC (sum of two interior opposite angles are equal to the exterior angle formed)
48 + 18 = angle ABC
66 = angle ABC
Answer:
see below
Step-by-step explanation:
5/10 divide ?/?= 1/2
5/10 divide by 5/5 = 1/2
2. 12/15 divide ?/? = 4/5
12/15 divide by 3/3 = 4/5
3. 10/12divide ?/? = 5/6
10/12 divide by 2/2 = 5/6
4. 14/18 divide ?/? = 7/9
14/18 divide by 2/2 = 7/9
