Because completementary angles add up to 180 degrees (angle 3 and angle 4)
and interior angles of a triangle will also add up to 180 degrees
if you compare these two facts, then angle 4 equals the 2 non adjacent interior angles
Answer:
0.80
Step-by-step explanation:
Khan academy
Answer:
a force of 1250lb is exerted
Step-by-step explanation:
since the force of the wind varies jointly as the area of the surface and the square of the velocity,
let f = force
a = area
velocity =v
from the above statement, we find out that
----1
that is 
-----2
where k is a coefficent of proportionality
since velocity of wind in mph,v =50
and force in lb = 20
and surface area =
from eqn 2
we have that
making k subject of the formula
we have that
that means that 
---3
however, when velocity = 125mph
surface area =
putting values in eqn 3 we have
hence a force of 1250lb is exerted
- Given ⇔ 1. ∠PRS and ∠VUW are supplementary
- Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180°
- Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180°
- Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU
- Algebra ⇔ 5. ∠VUW = ∠SRU
- Converse of Corresponding angle Postulate ⇔ Line TV || Line QS
<u>Step-by-step explanation:</u>
Here we have , ∠PRS and ∠VUW are supplementary . We need to complete the proof of TV || QS , with matching the reasons with statements .Let's do this :
- Given ⇔ 1. ∠PRS and ∠VUW are supplementary
- Angles forming a linear pair sum of 180° ⇔ 3. ∠PRS + ∠SRU = 180°
- Definition of Supplementary angle ⇔ 2. ∠PRS + ∠VUW = 180°
- Transitive property of equality ⇔ 4 . ∠PRS + ∠VUW = ∠PRS + ∠SRU
- Algebra ⇔ 5. ∠VUW = ∠SRU
- Converse of Corresponding angle Postulate ⇔ Line TV || Line QS
Above mentioned are , are the statements matched with expressions on right hand side (RHS) .
- The Corresponding Angles Postulate states that, when two parallel lines are cut by a transversal , the resulting corresponding angles are congruent .
- The converse states: If corresponding angles are congruent, then the lines cut by the transversal are parallel.
Answer:
x = 256/3
Step-by-step explanation:
3/8x - 16 = 16
Add 16 to both sides
3/8x = 32
Multiply 8 by both sides
3x = 256
Divide 3 by both sides
x = 256/3 or 85.3333333
