Answer:
total: 3x + 7
Step-by-step explanation:
Nancy = x
Bill = 2x + 7
together = 3x + 7
Answer:
c is 110 degrees
b is 70 degrees
a is 20 degrees
Step-by-step explanation:
for c, 180-70=110
for b, 180- angle c=180-110=70
for a, 180-90-angle b=180-90-70=20
Answer:
5 times 3 and 5 divide by 1/3 yield the same result - see below.
Step-by-step explanation:
When we divide by a fraction we invert it and then multiply so:
5 / 1/3
= 5 * 3/1
= 5 * 3.
Answer:
101
Step-by-step explanation:
The theorem to use this is the intercepted arc theorem, which tells us that if we take 2 points on the circumference of a circle and create an angle in the opposite side of the circumference, that angle is HALF that of the ARC intercepted.
If we look at 100 degree angle, we see the ARC intercepted is 99 degree and a degrees. According to theorem, we can say:
99 + a = 2(100)
99 + a = 200
a = 200 - 99
a = 101
Answer:
b
Step-by-step explanation:
The equation:
3
x
2
−
5
x
−
12
=
0
is in the form:
a
x
2
+
b
x
+
c
=
0
with
a
=
3
,
b
=
−
5
,
c
=
−
12
The roots are given by the quadratic formula:
x
=
−
b
±
√
b
2
−
4
a
c
2
a
x
=
5
±
√
(
−
5
)
2
−
4
(
3
)
(
−
12
)
2
(
3
)
x
=
5
±
√
25
+
144
6
x
=
5
±
√
169
6
x
=
5
±
13
6
That is:
x
=
5
+
13
6
=
18
6
=
3
or
x
=
5
−
13
6
=
−
8
6
=
−
4
3
