Answer:
the first answer or a
Step-by-step explanation:
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Answer:
Step-by-step explanation:
Answer:
The two numbers are
4
and
6
.
Explanation:
Let one number be represented as
x
and the other as
y
.
According to the problem:
x
=
2
3
y
and
x
+
y
=
10
From the second equation we get:
x
+
y
=
10
∴
y
=
10
−
x
(subtracting
x
from both sides)
Replacing the value of
y
in the first equation we get:
x
=
2
3
y
x
=
2
3
(
10
−
x
)
Multiplying both sides by
3
we get:
3
x
=
2
(
10
−
x
)
Opening the brackets and simplifying we get:
3
x
=
20
−
2
x
Add
2
x
to both sides.
5
x
=
20
Divide both sides by
5
.
x
=
4
Since from the second equation we have:
x
+
y
=
10
substituting
x
with
4
we get:
4
+
y
=
10
Subtract
4
from both sides.
y
=
6
Answer:
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Step-by-step explanation:
Answer:
8
Explanation:
cotx – 11 = -9
To solve algebraically, try to get cotx alone.
First, add 11 to both sides:
cotx – 11
+ 11 = -9
+ 11cotx = 2
Now divide by
on both sides, which is the same as multiplying the other side by 4:
cotx ÷
= 2 ÷
cotx = 8
Answer:
Step-by-step explanation:
Each angle of regular pentagon = 108
Given triangle is an isosceles triangle
In this triangle,
y + y + 108 = 180 {angle sum property}
2y + 108 = 180
2y = 180 - 108
2y = 72
y = 72/2
y = 36