Answer:
x=5, y=1
Step-by-step explanation:
Isolate x for 5x-3y=22
5x-3y=22
Add 3y to both sides
5x-3y+3y=22+3y
Simplify
5x=22+3y
Divide both sides by 5
5x/5=22/5+3y/5
Simplify
x=22+3y/5
Substitute x=22+3y/5
10*22+3y/5-4y=46
Simplify 10*22+3y/5-4y
10*22+3y/5=2(3y+22)
=2(3y+22)-4y
Expand 2(3y+22)
=6y+44-4y
Simplify 6y+44-4y
=2y+44
Isolate y for 2y+44=46
2y+44=46
Subtract 44 from both sides:
2y+44-44=46-44
Simplify
2y=2
Divide both sides by 2;
2y/2=2/2
Simplify;
y=1
For x=22+3*1/5 substitute y=1
y=22+3*1/5
22+3*1=25
=25/5
Divide the numbers;25/5=5
=5
x=5
The solutions to the system of equations are;
x=5, y=1
Answer:
x = 4
Step-by-step explanation:
We assume that the given expessions represent the measures of the alternate interior angles, so are equal.
... (4x + 12)° = 7x°
... 12 = 3x . . . . . . . divide by degrees, subtract 4x
... 4 = x . . . . . . . . . divide by 3
_____
Then the angles are 7x° = 28° = (4x+12)°.
Answer:
It should be 1/2 sorry if i"m wrong
Answer:
yes it is
8/10 = 80%
3/4 = 75%
Step-by-step explanation:
Answer:
x = 5.13 yards to the nearest tenth
Step-by-step explanation:
The diagram is redrawn and labelled in the attached photo.
It is labelled as triangle ABC. Angle A is determined to be 25 degrees. This is because it is alternate to 25 degrees at the top.
To find x, we will apply trigonometric ratio
Tan # =opposite side / adjacent side
Where # = 25 degrees
Opposite side = x
Adjacent side = 11
Tan 25 = x/11
x = 11tan25
x = 11× 0.4663
x = 5.1293 yards
x = 5.13 yards to the nearest tenth.