Let us denote the smaller even integer by

.
Then, the next even integer must be

.
To verify, set

as any even number, say

.
Then, the next even integer must be 2 more than this number, i.e.

.
The sum of these two consecutive even integers can be expressed as:

We are told that this sum divided by four is 189.5, i.e.

Multiplying both sides by 4 will reverse the division:

Subtracting 2 from each side will reverse the addition:

Dividing both sides by 2 will reverse the multiplication:

Therefore, the two consecutive integers must be
378 and
380.
Check this:
Answer:
True
Step-by-step explanation:
This equation correctly represents the total cost of the food that the friends ended up paying for the popcorn and sodas. In this expression, the cost of each individual soda is represented by the variable x which is multiplied by 4 since each one of the four friend's purchased their own soda. After making this multiplication process that product is added to the initial $12 that they all spent together on the popcorn.
Answer:
y = 7
NO = 5
Step-by-step explanation:
Let the side of the parallelogram LM and NO given be 2y - 9 and y - 2
Since LMNO is a parallelogram, hence;
LM = NO
2y - 9 = y - 2
2y - y = -2 + 9
y = 7
Since NO = y - 2
NO = 7 - 2
NO = 5
Answer:
d.
Step-by-step explanation:
Let's examine each statement:
Option A: m<CUD = m<VUM (CORRECT)
Rationale: vertical angles are congruent to each other.
Option B: m<AUV + m<DUA = 180 (CORRECT)
Rationale: angles on a straight line
Option C: m<MUC - m<MUD = m<CUD (CORRECT)
Rationale:
m<MUC = m<MUD + m<CUD
Subtract m<MUD from each side
m<MUC - m<MUD = m<CUD
Option D is FALSE
Rationale:
m<PUD + m <VUP = 180° (angles on a straight line)
m<PUM + m<CUA ≠ 180°
Therefore,
m<PUD + m<VUP = m<PUM + m<CUA IS FALSE.
Answer:
$120 dollars.
Step-by-step explanation: