Answer:
The two column proof is presented as follows;
Step
Statement Reason
1
≅
Given
∠CAB ≅ ∠DBA
2
≅
Reflexive property
3
ΔABC ≅ ΔBAD SAS rule of congruency
Step-by-step explanation:
Given that we have;
Segment
of ΔABC being congruent to (≅) segment
on ΔBAD and angle ∠CAB on ΔABC is congruent to angle ∠DBA on ΔBAD, and also that the two triangles share a common side, which is segment
, we have;
Segment
is congruent to itself by reflexive property, therefore;
Two sides and an included angle on ΔABC are congruent to the corresponding two sides and an included angle on ΔBAD, which by Side-Angle-Side, SAS, rule of congruency, ΔABC is congruent to ΔBAD
Answer:
<1=28, <2=62
Step-by-step explanation:
You know that the large triangle is 180 and there is a smaller triangle that is also 180. You are also provided an angle is 90 and another is 62.
90+62=152.
180-152=28. So, angle 1=28.
28+90=118.
180-118=62
Answer:
result bellow
Step-by-step explanation:
b= -4.
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Answer: 23
When using multiplication with brackets, you multiply the number by all the numbers within the bracket before adding them together.
Therefore when it is 8(7 + 23) it basically means: 8(7) + 8(23)
Answer:
y -5 = -7(x +5)
Step-by-step explanation:
The point-slope form of the equation for a line is usually used for this purpose. For point (h, k), the line with slope m through it is given by ...
y -k = m(x -h)
Filling in the given numbers, you get the equation ...
y -5 = -7(x +5)
_____
This can be rearranged to any of several other forms:
y = -7x -30 . . . . . slope-intercept form
7x + y = -30 . . . . standard form
x/(-30/7) + y/(-30) = 1 . . . . . intercept form