Answer:
x
=
12 and y
=
1
Explanation:
Given equations are:
(1) ------ 1
3
x
−
y
=
3
(2)------
2
x
+
y
=
25
Multiply (1) by 3 to eliminate the fractional part,
(1) ------- x
−
3
y
=
9 ⇒
x
=
9
+
3
y
-------- let this be equation (3)
Now substitute this value of
x
from (3) in equation (2),
(2) --------- 2
(
9
+
3
y
)
+
y
=
25 ⇒
18
+
6
y
+
y
=
25 ⇒
7
y
=
25
−
18 ⇒
y
=
7
7
Therefore,
y
=
1
Substituting this value of
y
in equation (3),
x
=
9
+
3
×
1
x
=
9
+
3
Therefore,
x
=
12
So we have the values of
x and y as,
x
=
12
and
y
=
1
╦────────────────────────────╦
│Hope this helped _____________________│
│~Derelis ____________________________ │
╨___________________________________╨
Answer:
x = 60°
Step-by-step explanation:
Use special triangles.
Starting with an equilateral triangle (all angles at 60°) with the side length of 2. Drop an altitude from one of the vertices to cut in half and make a right - triangle.
The hypotenuse length is 2. The base length, because it was cut in half, is 1. The height can be found with the Pythagorean theorem, which is √3.
The ratio for tangent is opposite over adjacent.
Since √3 = √3 / 1, the angle must be the one as marked in the picture.
Remember this triangle came from an equilateral triangle, so that angle is 60°. It was not cut in half, unlike the top angle which is 30°.
I think it would be the first one
I took the same test and I put the answer D. 1487 and I got it wrong. The correct answer was
A.3
Answer: $3.60
Step-by-step explanation: