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.

d

step-by-step explanation:

given

y + 3 = - 4(x - 2) ← distribute the parenthesis

y + 3 = - 4x + 8 ( subtract 3 from both sides )

y = - 4x + 5 → d

isocolese triangle

we know that the line connect a and b is the hyptonuse

so first find the hypotonuse length using the distance formula, call the length c

since it is an isocolese triangle, the lengths of the legs are the same

using pythagorean theorem,

in this case, a=b since isocolese triangle so we get

or

we can find c so we can find the distances

we know that if we draw 2 circles, each has center at a and b, and find where they intersect, we can the 2 possible locations for c

if a has center at (xa,ya) and b has center at (xb,yb), then we can solve where

and

intersect to find where they intersect

i'm not going to put an example because i have to go to class. i hope this explanation is enough

3 4 7 12 19

+1 +3 +5 +6

i would guess 26 because this isnt a sequential pattern or its to short to know