Answer:
The girl is 19 y/o, the mom is 38 y/o and the dad is 43 y/o.
Step-by-step explanation:
26+13+31= 70 NO
40+20+45= 105 NOT QUITE
19+38+43= 100 YES
Answer:
The length of the side PC is 34 cm.
Step-by-step explanation:
We are given that BP is the perpendicular bisector of AC. QC is the perpendicular bisector of BD. AB = BC = CD.
Suppose BP = 16 cm and AD = 90 cm.
As, it is given that AD = 90 cm and the three sides AB = BC = CD.
From the figure it is clear that AD = AB + BC + CD
So, AB =
= 30 cm
BC =
= 30 cm
CD =
= 30 cm
Since the triangle, BPC is a right-angled triangle as
PBC = 90°, so we can use Pythagoras theorem in this triangle to find the length of the side PC.
Now, the Pythagoras theorem states that;


= 1156
PC = 34 cm
Hence, the length of the side PC is 34 cm.
Answer:
The slope is 
Step-by-step explanation:
Hi there!
We are given the points (0, 4) and (6, 13)
We want to find the slope of the line containing these two points
Slope (m) is the steepness of the line. When calculating from two points, you use the equation
, where
and
are points
Although we have what we need to find the slope, let's label the values of the points to avoid confusion and mistakes.

Substitute these values into the equation
m=
m=
Subtract
m=
Simplify
m=
The slope of the line is 3/2
Hope this helps!
See more on calculating slopes from 2 points here: brainly.com/question/26738734
- Midpoint formula is
.
<h3>19.</h3>
So starting with this one, we will be solving for the coordinates of the unknown endpoint separately. Starting with the x-coordinate, since we know that the midpoint x-coordinate is 5 and the x-coordinate of N is 2, our equation is set up as such:
From here we can solve for the x-coordinate of Q.
Firstly, multiply both sides by 2: 
Next, subtract both sides by 2 and your x-coordinate is 
With finding the y-coordinate, it's a similar process as with the x-coordinate except that we are using the y-coordinates of the midpoint and endpoint N.

<u>Putting it together, the missing endpoint is (8,4).</u>
<em>(The process is pretty much the same with the other problems, so I'll go through them real quickly.)</em>
<h3>20.</h3>


<u>The missing endpoint is (7,2).</u>
<h3>21.</h3>


<u>The missing endpoint is (-5,1).</u>