Answer:
DB = CA (Proved)
Step-by-step explanation:
Statement 1.
∠D = ∠C, M is the midpoint of DC and ∠1 = ∠2
Reason 1.
Given
Statement 2.
Between Δ DBM and Δ CAM,
(i) DM = CM,
(ii) ∠D = ∠C and
(iii) ∠DMB = ∠CMA
Reason 2.
(i) given
(ii) given and
(iii) ∠ DMB = ∠1 + ∠AMB and ∠CMA = ∠2 + ∠AMB
Since ∠1 = ∠2, so, ∠DMB = ∠CMA.
Statement 3.
Δ DBM ≅ Δ CAM
Reason 3.
By angle-side-angle rule.
Statement 4.
DB = CA
Reason 4.
Corresponding sides of two congruent triangles. (Answer)
Answer:
a.
b.
c.
d. -6t - 5
Step-by-step explanation:
When a number has the same variable as another, you can add or subtract them
So for the first one, you can do
(But don't forget the !)
So it is:
Continue this process for the rest of them
Answer:
The graph is positive and would have a y intercept of 1 and a slope of 2 which means choose a point on the graph and add 2 to the y and 1 to the x and you should be at the next point on the line.
Step-by-step explanation:
y=mx+b
f(x)=y
m = slope
b = y intercept
First you need to make it look like y=mx+b
y = 2x - 1 + 2
y = 2x + 1
Now we can say,
m = 2
b = 1
or,
Slope =
y intercept = 1
Slope (m) =
So the numerator is the value your are going to go up or down along the graph and the denominator is the value of how far you are going to go left or right along the graph. If the slope is positive then the graph is inclining. If the slope is negative, the graph is declining.
Step-by-step explanation:
Given
Slope (m) = 4
Point ( -1 , 5)
Now the equation of line is
y - y1 = m ( x - x1)
y - 5 = 4 ( x + 1)
y - 5 = 4x + 4
4x + 4 - y + 5= 0
4x - y + 9 = 0
which is the required equation
Answer:
35:
30 (tens) 5 (ones)
16:
10 (tens) 6 (ones)
Step-by-step explanation:
Add the tens:
30+10 =40
Add the ones:
5+6=11
Add the final answer for the tens and ones together:
40+11=51
I hope this helps! Lemme know in the comments if this made sense to you?