Answer:
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Step-by-step explanation:
m∠W = (4x)°
m∠Y = (3x)°
m∠Z = (3x)°
i.e.,
We Know That,
The sum of a Triangle is 180°
So,
m∠W + m∠Y + m∠Z
i.e.,
(4x)° + (3x)° + (3x)° = 180°
10x° = 180°
x = 180/10
x = 18°
Now,
m∠W = (4x)° = 4 × 18 = 72°
m∠Y = (3x)° = 3 × 18 = 54°
m∠Z = (3x)° = 3 × 18 = 54°
Thus, x = 18°
<h3>
<u>FOR</u><u> </u><u>VERIFICATION ONLY</u><u>:</u></h3>
(4x)° + (3x)° + (3x)° = 180°
4 × 18 + 3 × 18 + 3 × 18 = 180
72° + 54° + 54° = 180°
180° = 180°
Hence, L.H.S = R.H.S
<u>-TheUnknown</u><u>S</u><u>cientist</u>
Answer:
x < 19
Step-by-step explanation:
Given that,
An inequality 2x - 5 < 33.
LHS of the inequality is 2x - 5
RHS of the inequality is 33
LHS < RHS
i.e.
2x - 5 < 33
Add 5 to both sides of the inequality
2x - 5 +5 < 33+5
2x < 38
Divide both sides by 2.
x < 19
So, the value of x is less than 19.
Answer:
-2
-2
y=-2
Step-by-step explanation:
edge 22
Given data:
The given equation of line is y=x/4+5.
The given y-intercept is (0,c)=(0,-3).
The standard equation of line is,
y=mx+c
Compare the given equation with the above expression.
m=1/4
The expression for the slope which is perpendicular to the given line.

The equation of the line which is perpendicular to the given line is,

Thus, the line which is perpendicular to the given line is y=-4x-3.