<h2>
Greetings!</h2>
Answer:
$50.08
Step-by-step explanation:
Let x be the cheaper hat, is the more expensive hat is 2 times this value, it can be shown by 2x. The addition of these two values = 75.12
x + 2x = 75.12
3x = 75.12
Divide both sides by three to find 1x:
x = 25.04
If the more expensive hat is 2x this, then:
2 * 25.04 = 50.08
So the more expensive hat is $50.08!
<h2>Hope this helps!</h2>
Answer:-1
Step-by-step explanation:
It’s all about the work you put in to get your answer you have to subtract
Let:
• y, be the cost of the plan
,
• x, be the minutes spend on call
This way, we'll have:
Plan A:

Plan B:

If the two plans cost the same, we'll have that:

Solving for x :

A) The two plans will cost the same for 140 minutes on call
The cost will be:

B) $36.80
Answer:
46. ΔQRP ≅ ΔUTV
47. y = 42
48. ∠KMN = 101°
Step-by-step explanation:
46. It is convenient to name the vertices in the order of the number of arc identifying the angle. Corresponding vertices need to be named in the same order in the congruence statement.
47. From the sum of angles of a triangle, you know that ...
x +62 +65 = 180
x = 180 -127 = 53
x - y = 11 since the corresponding sides are the same length
53 - y = 11 . . . . . .substitute the value of x
y = 53 - 11 . . . . . . add y-11
y = 42
48. The exterior angle has the same measure as the sum of the opposite interior angles:
81 +4x = 13x +36
45 = 9x . . . . . . . . . add -4x-36
5 = x . . . . . . . . . . . divide by 9
∠KMN = (13x +36)° = (13·5 +36)° = 101°