Answer:

Step-by-step explanation:
Step one:
Given data
dimension of the rectangle
Width = 8y-1.5
Length = 1.5y+9
Required
The expression to represents the Perimeter
Step two:
the perimeter of a rectangle is expressed as

collect like terms

Answer: 1 club - Club 2
Step-by-step explanation:
You can find the monthly rates by deducting the cost at 12 months from the cost at 24 months and dividing it by 12.
Club 1 Club 2 Club 3
= (432 - 216) / 12 = (390 - 210) / 12 = (504 - 252) / 12
= $18 = $15 = $21
Multiply these rates by 6 months and any club total cost at 6 month that differs from your answer has a joining fee.
Club 1; Club 2; Club 3
= 18 * 6 = 15 * 6 = 21 * 6
= $108 = $90 = $126
<em>Same as total cost at </em><u><em> Joining fee of $30</em></u><em>; </em> <em>No joining fee as </em>
<em>6 months so no joining 120 - 90 = $30 this is the same </em>
<em>fee. as total cost at 6 </em>
<em> months.</em>
Answer:
See explanation
Step-by-step explanation:
In ΔABC, m∠B = m∠C.
BH is angle B bisector, then by definition of angle bisector
∠CBH ≅ ∠HBK
m∠CBH = m∠HBK = 1/2m∠B
CK is angle C bisector, then by definition of angle bisector
∠BCK ≅ ∠KCH
m∠BCK = m∠KCH = 1/2m∠C
Since m∠B = m∠C, then
m∠CBH = m∠HBK = 1/2m∠B = 1/2m∠C = m∠BCK = m∠KCH (*)
Consider triangles CBH and BCK. In these triangles,
- ∠CBH ≅ ∠BCK (from equality (*));
- ∠HCB ≅ ∠KBC, because m∠B = m∠C;
- BC ≅CB by reflexive property.
So, triangles CBH and BCK are congruent by ASA postulate.
Congruent triangles have congruent corresponding sides, hence
BH ≅ CK.
Answer:
x-73
Step-by-step explanation:
Let x=Jose's height. If it says "less than," then that is subtraction. Since Jose's height is not defined, there is no specific number that can be used to describe "73 less than twice Jose's height," so I use the variable x, and then subtract 73.