Bill received $144 more than Pam.
Explanation:
To create the ratio, we can divide 360 by 5 which equals 72.
3x72= 216
360
The ratio that is proportionate to 3:5 is 216:360
So, 360 - 216 = 144
The factors of 16 is actually 1,2,4,8,16
Hope I helped you out! Enjoy! :)
Answer:
Step-by-step explanation:
The quadrilateral has 4 sides and only two of them are equal.
A) to find PR, we will consider the triangle, PRQ.
Using cosine rule
a^2 = b^2 + c^2 - 2abcos A
We are looking for PR
PR^2 = 8^2 + 7^2 - 2 ×8 × 7Cos70
PR^2 = 64 + 49 - 112 × 0.3420
PR^2 = 113 - 38.304 = 74.696
PR = √74.696 = 8.64
B) to find the perimeter of PQRS, we will consider the triangle, RSP. It is an isosceles triangle. Therefore, two sides and two base angles are equal. To determine the length of SP,
We will use the sine rule because only one side,PR is known
For sine rule,
a/sinA = b/sinB
SP/ sin 35 = 8.64/sin110
Cross multiplying
SPsin110 = 8.64sin35
SP = 8.64sin35/sin110
SP = (8.64 × 0.5736)/0.9397
SP = 5.27
SR = SP = 5.27
The perimeter of the quadrilateral PQRS is the sum of the sides. The perimeter = 8 + 7 + 5.27 + 5.27 = 25.54 cm
Answer:
-$173
Step-by-step explanation:
Answer:
6) Option B) distributive property is correct
Therefore 5+2(x-7)=5+2x-14 are equivalent by using distributive property
7) Option B) distributive property is correct
Therefore x+3(7-x)=x+21-3x are equivalent by using distributive property
Step-by-step explanation:
6) Given that the expressions 5+2(x-7) and 5+2x-14 are equivalent
To verify that the given expressions are equivalent by which property :
5+2(x-7)
=5+2(x)+2(-7) ( by using the distributive property a(x+y)=ax+ay )
=5+2x-14
Therefore 5+2(x-7)=5+2x-14 are equivalent by using distributive property
Therefore option B) distributive property is correct
7) Given that the expressions x+3(7-x) and x+21-3x are equivalent
To verify that the given expressions are equivalent by which property :
x+3(7-x)
=x+3(7)+3(-x) ( by using the distributive property a(x+y)=ax+ay )
=x+21-3x
Therefore x+3(7-x)=x+21-3x are equivalent by using distributive property
Therefore option B) distributive property is correct
