Answer:
ΔAMD ≅ ΔCMD by Side Side Side (SSS) congruency rule
Step-by-step explanation:
Given that ΔABC is an isosceles triangle, with 
≅ 
With BM as the median line from B to AC, we have;
∠ABM = ∠CBM
Also we have;
≅ - Reflexive property
Therefore, ΔABD ≅ ΔCBD Side Angle Side SAS condition of congruency
Therefore;
≅ 
Corresponding sides of congruent triangles are congruent CPCTC
≅ 
- AC is bisected by 
where = Median line
≅ - Reflexive property
Therefore, we have;
ΔAMD ≅ ΔCMD - Side Side Side (SSS) congruency rule
Answer:
N = (7/2)t +20
Step-by-step explanation:
In terms of years since 2010, the two given points are ...
(t, N) = (4, 34) and (6, 41)
Using the 2-point form of the equation for a line, we get ...
N = (n2 -n1)/(t2 -t1)(t -t1) +n1
N = (41 -34)/(6 -4)(t -6) +34 . . . . filling in the given points
N = 7/2(t -4) +34 . . . . simplifying a bit
N = (7/2)t +20 . . . your linear model
Answer:
8 + 2x = 30
Step-by-step explanation:
Given,
The initial number of push-ups he does in each day = 8,
And, the number of push-ups, he increases per day = 2,
Let x be the number of days after he will reach his target of 30 push-ups,
Since, the number of push-ups she will increase in x days = 2x,
Thus, the number of push-ups she will do after x days = 8 + 2x,
⇒ 8 + 2x = 30, which is the required equation.
