Answer:
24
Step-by-step explanation:
if A is a point between B and C, then'
BA + AC = BC
GIven
AB = 26 and BC = 50
BA = 26
Substitute
26 + AC = 50
AC = 50 - 26
AC = 24
Hence thelength of AC is 24
Answer:
maria spent her money so hers decreased
Step-by-step explanation:
A negative plus a negative equals a negative.
A negative plus a positive depends on which number is bigger for the sign.
A negative times a negative equals a positive.
A negative times a positive equals a negative.
A negative divided by a negative equals a positive.
A negative divided by a positive equals a negative.
A negative minus a negative depends on which number is bigger for the sign.
A negative minus a positive equals a negative.
You can solve this exercise as below (View the figure attached):
1.Divide the figure in four equals parts. Now we have 4 rectangles with the same dimensions.
2.Choose the rectangle that has the angle given in the problem, which we will call "α" (α=59°).
3. We must remember that the sum of the internal angles of a triangle is 180°. We have α=59° and the right angle, so we can find the other one, which we will call "β1":
β1=180°-90°-59° β1=31°
4. As we can see in the figure, "α" is alternate interior with α1 (α=α1=59°) and β1 is alternate interior with m∠11 (β1=m∠11=31°).
5. The others rectangles have the same dimensions of the rectangle we chose, so they have the same angles too.
We can notice in the figure that m∠7+m∠8+m∠9+m∠10= 360°
The answer is:
m∠1=59°
m∠2=31°
m∠3=59°
m∠4=31°
m∠5=31°
m∠6=59°
m∠7=118°
m∠8=62°
m∠9=62°
m∠10=118°
m∠11=31°