Answer:
The dashes on the side lengths mean that they are equal in length
⇒ PQ = RP
The triangles share one side PS
The figure also states that m∠QPS = m∠RPS
Therefore, the triangles are SAS congruent since they have two pairs of congruent sides and a congruent included angle.
Answer:
→ 4. 
→ 3. 
→ 1.
→ 2.
Step-by-step explanation:
You need to:
Factor out 2 from
, then you get the equivalent expression:
this matches with OPTION 4
Factor out 2 from
, then you get the equivalent expression:
this matches with OPTION 3
Make the subtraction for
, then you get the equivalent expression:
this matches with OPTION 1
Factor out 2 from
, then you get the equivalent expression:
this matches with OPTION 2
Answer:
Well, the only prime factor of 35 would be 5 × 7.
Step-by-step explanation:
For addition, all of the number 35's divisors would be:
1, 5, 7, 35.
Which means, 5 and 7 are the only numbers that 35 can be divided to besides 1 and itself.
Hope this helps!
Answer:
Type I error: Concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.
Step-by-step explanation:
We are given the following in the question:
Hypothesis:
Mean mileage for the Carter Motor Company's new sedan
We can design the null hypothesis and alternate hypothesis as:

Type I error:
- It is the false positive error.
- It is the error of rejection a true hypothesis.
Type II error:
- It is the false negative error.
- It is the non rejection of a false null hypothesis.
Thus, type I error for the given hypothesis is concluding that mean mileage is less than 32 miles per hour when actually it is greater than or equal to 32 miles per gallon.
Type II error would be concluding that mean mileage is greater than or equal to 32 miles per gallon when actually it is less than 32 miles per gallon.