Answer:
Option 4
Step-by-step explanation:
=> The length of DE = EF will prove that DEF is an isosceles triangle (having two sides equal)
=> Their slopes being the opposite reciprocals will prove that they are perpendicular to eachother and DEF is a right angled triangle.
Answer:
If two parallel lines
and
are cut by a transversal, then the alternate interior angles are congruent.
Below is the prove of this.
Step-by-step explanation:
As we know that Alternate interior angles are two angles that are on the interior of
and
, but on opposite sides of the transversal.
In other words, If two parallel lines
and
are cut by a transversal, then the alternate interior angles are congruent.
Lets prove this.
Given: p ║ q
Prove: ∠1 ≅ ∠2
Statement Reasons
1. p ║ q 1. Given
2. ∠1 ≅ ∠3 2. Corresponding Angles Postulate
3. ∠3 ≅ ∠2 3. Vertical Angles Congruence Theorem
4. ∠1 ≅ ∠2 4. Transitive Property of Congruence
The cost per gallon is 13.3 Repeated.
Answer:
110 test
Step-by-step explanation:
Let
x ----> the number of packet of 10 test
y ----> the total cost
we know that
The number of packet of 10 test purchase multiplied by $11 plus the enrollment fee of $30 must be equal to $151
so
The linear equation that represent this scenario is

we have

substitute

Solve for x
subtract 30 both sides


Divide by 11 both sides

The number of packets purchase was 11
To find out the number of test, multiply the number of packets by 10

3p^2 - 2p - 5
3p^2 -5p+3p-5 (5 times 3 equals 15)
p(3p-5) +1(3p-5)
Answer:
(3p - 5)(p + 1)