Answer:
Step-by-step explanation:
- x + 3 = - 1 ⇒ x = 4
Answer:
No, the student's work is not correct.
Step-by-step explanation:
Given : Student expanded an expression, as shown.



To find : Is the student's work correct?
Solution :
The expansion of student is not correct.
Follow the below steps to get correct solution and student mistake,
Step 1 - Write the expression,

Step 2 - Apply distributive property, 

Step 3 - Solve,

The student was mistaken in step 2 in solving the sign.
Answer: b) two sides and the included angle are congruent
<u>Step-by-step explanation:</u>
RS = QS SIDES are congruent
∠PSR ≡ ∠PSQ ANGLES are congruent
PS = PS SIDES are congruent
ΔPSR ≡ ΔPSQ by the Side-Angle-Side (SAS) Congruency Theorem
Since we know the triangles are congruent, we can state that their parts are congruent:
Congruent-Parts of-Congruent-Triangles are-Congruent (CPCTC)
It would be great if you added some more details, but for common denominators you try to find the least common number that the 2 or more of the numbers you got have!
For example:
1/2 and 2/3 if you multiply 2 by 3 and 3 by 2, they both are 6, so you would multiply 1/2 both by 3 to make it into 3/6 and 2/3 by 2 to make it into 4/6!
Answer:
5/12 barrel/hour
Step-by-step explanation:
Type this as a fraction:
(1/6) barrel
--------------------
(2/5) hours
Division by 2/5 is equivalent to multiplication by 5/2:
1 5
--- barrel * -------------- = 5/12 barrel/hour
6 2 hours
Alternatively, this problem could be done using decimal fractions:
0.1667 barrel
-------------------- = 0.416666 barrel/hour = 5/12 barrel/hour
0.4 hours