Answer:
A
Step-by-step explanation:
A is the correct answer because the equation matches option A.
(-2 1/2) + (-3 1/4)
The minus sign in -2 1/2 shows that the submarine descended and then descended again with the addition sign. Though the addition sign can mean that it ascended its incorrect.
With the equation in hand, we can prove that option A is correct.
If the submarine descended 2 1/2 miles then here must be a minus sign next to the 2 1/2. But if it ascended then there would've been an addition sign to show that it ascended. The other value - 3 1/4 also shows that it ascended with the help of the addition sign.
Ascends - values increase from smallest to highest.
Descends - values decrease from highest to smallest.
Answer:
Step-by-step explanation:
Given:
Let's distribute the parenthesis
Let's subtract 
from both sides
Let's add to both sides
Now, let's divide both sides by 
to get 
alone
Hope this is helpful
(opposite angles in a parallelogram)
(subtraction)
(angles in a triangle add to 180 degrees)
(adjacent angles in a parallelogram are supplementary)
(subtraction)
(angles in a triangle add to 180 degrees)
(angles on a straight line add to 180 degrees)
Answer:
m∠ABE = 27°
Step-by-step explanation:
* Lets look to the figure to solve the problem
- AC is a line
- Ray BF intersects the line AC at B
- Ray BF ⊥ line AC
∴ ∠ABF and ∠CBF are right angles
∴ m∠ABF = m∠CBF = 90°
- Rays BE and BD intersect the line AC at B
∵ m∠ABE = m∠DBE ⇒ have same symbol on the figure
∴ BE is the bisector of angle ABD
∵ m∠EBF = 117°
∵ m∠EBF = m∠ABE + m∠ABF
∵ m∠ABF = 90°
∴ 117° = m∠ABE + 90°
- Subtract 90 from both sides
∴ m∠ABE = 27°
