Answer:
x=11.7
Step-by-step explanation:
When every you have a straight line with a transversal, the line going through the straight line, the two angles will add up to 180.
180=10x+2+5x+3 ---> combine like terms
180=15x+5 ---> subtract 5 to the other side
175=15x ---> divide 15 to the other side
x=11.7
Answer:
Option d is correct.
Vertical angles are congruent;
SAS
Step-by-step explanation:
Given:
, 
In ΔNKJ and ΔMLK
and [Side] {Given}
Vertical angles states that the two lines intersect to make an X, angles on opposite sides of the X are called vertical angles.
i.e
and
are vertical angles.
Also, vertical angles are congruent.
[Angle] [Vertical angles are congruent]
SAS(Side-Angle-Side) postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
then, by SAS postulates;
Hence proved!
Therefore:
Statement Reason
1.
,
Given
2.
Vertical angles are congruent
3.
SAS
Answer:
8, 10, 12
Step-by-step explanation:
x+x+2+x+4=30
3x+6=30
3x=30-6
3x=24
x=8
N(s) = 36
n(F) = 18
P(E) = 18 / 36
= 1/2.
Answer:
15
Step-by-step explanation:
Plug the number into the equations