Answer:
AC = 38
Step-by-step explanation:
AB = BC
4 - 5x = 2x + 25
-7x = 21
x = -3
AC = 2(BC) = 2(2x + 25) = 4x + 50 = 4(-3) + 50 = -12 + 50 = 38
AC = 38
Answer:
5r + 2p + 6
Step-by-step explanation:
= 4r + 9 + r + 2p - 3
= 4r + r + 2p + 9 - 3
= 5r + 2p + 6
<h3>Answer:</h3>
c=√a²+b²
=√7²+8²
<h3> C ≈10.63015 or 10.6</h3>
Hope this helps! <3
Answer:
150
Step-by-step explanation:
30 + 30 + 45 + 45 = 150
Answer:
Step-by-step explanation:
To start calculating, we first need to make some proof.
Firstly, since AB = AC, we know that ΔABC is isosceles, which means that ∠ABC = ∠ACB.
Now, looking only to ΔBDE and ΔCDF, we can see that they are similar, because the two of its angles are congruent:
∠BED=∠CFD
∠DBE=∠DCF
To make it easier to visualize which are the corresponding vertexes, we can draw them like this:
And we need to remember that BC is 24, so:
BD+CD=24
Since the triangles are similar, their corresponding sides have constant ratio, which we can calculate from the corresponding sides DE and CF:

This ratio is the same for the other corresponding sides, so we can apply that for BD and CD:

Thus, the measure of CF is approximately 13, alternative D.