Answer:
(b)The original price of the shoes is $60.
Explanation:
Part A
In this situation:
• 15% is the PERCENT
,
• $9 is the PART
,
• The original price is the WHOLE.
Part B
If 15% is taken off, the customer will save $9.
This means that 15% of the original price = $9.
Let the original price=p
The original price of the shoes is $60.
Answer:
954.56 in²
Step-by-step explanation:
A = 2×π·r² + 2·π·r·h
= 2×3.14×64 + 2×3.14×8·11
= 401.92 + 552.64
= 954.56 in²
Answer:
31
Step-by-step explanation:
The median of this data set is 42.
The 1st quadrant is the mean of 24 and 36: 30.
The 3rd quadrant is the mean of 57 and 65, or 61.
Thus, the IQR is the difference between 61 and 30: It is 31.
Let's go through the choices.
A. HL, hypotenuse-leg. Yes we have a right triangle with congruent hypotenuse and leg which gives us congruent triangles, CHECK
B. HA, hypotenuse actute. Yes we have a right triangle witha congruent hypotenuse and acute angle, so congruent triangles, CHECK.
C. LL. leg leg. We don't know HL=PE so we can't use this theorem here. NO.
D. SAS, side angle side. For this one we first have to prove angle HEL is congruent to angle PME which is easily done with the Triangle Angle theorem (two congruent angles means three congruent angles) and then we can use SAS because then we have congruent sides and a congruent included angle. This one's a judgement call, I'll say NO because of the two steps.
E. AAS. Angle Angle Side, yes we have two congruent angles and a side. CHECK
F. ASA. Again we need an additional step before we conclude two angles and an included side are congruent. So again a judgement call, we'll go with NO.
