Answer:
50 degrees
Step-by-step explanation:
In triangles, the sum of all angles = 180 degrees. So, we can create an equation to solve for x:
- Angle 1 + Angle 2 + Angle 3 = 180 degrees
- (x+15) + (x+28) + 67 = 180
- 2x + 110 = 180
- 2x = 70
- x = 35
We found x, but we're not done. Now, we substitute to find each missing angle:
- Q = x + 28 = (35) + 28 = 63 degrees
- P = x + 15 = (35) + 15 = 50 degrees
Thus, our final answer is: Angle P = 50 degrees.
Answer (x,y) (3, -2)
Explanation:
using the
substitution method
y
=
x
−
5
→
(
1
)
y
=
−
2
x
+
4
→
(
2
)
since both equations are expressed in terms of x we
can equate them
⇒
x
−
5
=
−
2
x
+
4
add 2x to both sides
2
x
+
x
−
5
=
−
2
x
+
2
x
+
4
⇒
3
x
−
5
=
4
add 5 from both sides
3
x
+
5
−
5
=
4
+
5
⇒
3
x
=
9
divide both sides by 3
3
x
3
=
9
3
⇒
x
=
3
substitute this value in
(
1
)
y
=
3
−
5
=
−
2
As a check
substitute these values into
(
2
)
right
=
−
6
+
4
=
−
2
=
left
⇒
point of intersection
=
(
3
,
−
2
)
Rate of change means derivative or slope. So you’d go down 3 and right one. I have no clue what you want me to do with y = x
Wouldn’t y =x be a straight line from the origin with a slope of 1?
Given:
A parallelogram with base c, height h and other side a.
yds
yds
yds
To find:
The area of the parallelogram.
Solution:
The area of a parallelogram is:
In the given parallelogram, the base is yds and the height is yds. So, the area of the parallelogram is:
Therefore, the area of the parallelogram is 5200 square yds . hence the correct option is A.
