Answer:
x=123
Step-by-step explanation:
x is across from the angle that measures 123 degrees. Therefore, they are vertical angles, and are congruent.
x=123
Additionally, 57 and x are on a straight line. This means they are supplementary and add to 180 degrees
57*x=180
Subtract 57 from both sides to get x by itself.
x=123
11 by 16
Explanation:
Set up two equations
2
x
+
2
y
=
54
x
×
y
=
176
Solving the first equation for x
2
x
+
2
y
−
2
y
=
54
−
2
y
this gives
2
x
=
54
−
2
y
Divide both sides by 2
(
2
x
2
)
=
54
−
2
y
2
This gives.
x
=
27
−
y
putting this value into the second equation gives.
(
27
−
y
)
×
y
=
176
multiplying across the parenthesis gives
27
y
−
y
2
=
176
subtracting 176 from both sides gives
is
27
y
−
y
2
−
176
=
0
multiplying by negative one gives
−
27
y
+
y
2
+
176
=
0
factoring this into y gives
(
y
−
11
)
×
(
y
−
16
)
=
0
Solving for both y's gives
y
=
11
,
y
=
16
The number of 10 chips stacks that Dave can make if two stacks are not considered distinct is 110.
The solution
To get the symmetric stacks, one has to subtract the symmetric stacks to know the ones that are asymmetric.
The symmetric are flipped. Given that they are double counted what we have to do is to divide through by 2.
6/2 = 3
10/2 = 5
4/2 = 2
1/2(10C6) - (5C3) + (5C3)
0.5(210-10+10)
= 110
Answer:
If I read your problem write: 126
Step-by-step explanation:
if I interpret this as
- (-3)* 2 * (5) * 2 * (7) * 3 divided by 5 * 2
we can get 126
because:
- (-3)* 2 * (5) * 2 * (7) * 3 divided by 5 * 2
= 6 * 5 * 2 *7 * 3 / (5*2)
= 60*7 * 3/ (5*2)
= 420 * 3 / 10
= 1260/10
= 126
Answer:
Step-by-step explanation:
hello :
f(x) = (x+3)(x+6)(x+8)
