Statement Reason
1. Let points A, B, and C form a
triangle.
given
2. Let DE be a line passing
through B, parallel to AC,
with angles as labeled.
defining a parallel line and labeling angles
3.
4. m21 = m 24, and
m23 = m25.
gruent angles have equal measures.
5. m 24+ m2 2 + m 25 = 180° angle addition and definition of a straight angle
6. m2 1 + m2 2 + m23 = 180° substitution
What is the missing step in this proof?
A.
Statement: 24 - 25 and 21 - 23.
Reason: Alternate Interior Angles Theorem
B.
Statement
DE
is parallel to AC
Reason: AB is a transversal cutting DE and AC
C.
Statement: 2124 and 23 - 25
Reason: Alternate Interior Angles Theorem
D.
Statement 21 24 and 2325
Reason: 21 and 24 and 23 and 25 are pairs of supplementary angles.

9987

step-by-step explanation:

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629

the option best identifies the textual evidence that supports this conclusion is c.) when an argument is over, how many weighty reasons does a man recollect which his heat and violence made him utterly forget? in order to recognize textual evidence is to identify the topic sentence where the author states the main idea. textual evidence is what supports the topic sentence or main idea of a passage.

1) the property is   ixi = a ⇔x = a   o x = -a

4(x-5)+3= 15⇒4x-20+3 = 15⇒4x-17= 15⇒4x = 15+17⇒4x = 32⇒x =32/4= 8

4(x-5) +3= -15⇒4x-20 +3 = -15⇒4x-17= -15⇒4x =-15+17⇒4x = 2⇒x =2/4= 1/2

the values are x =8 and x = 0,5