Answer:
The answer to your question is the big dog weighs 120 pounds
Step-by-step explanation:
Data
big dog = b
medium dog = m
small dog = s
Equations
b = 5s
m = 12 + s
s = 2/3 m
Process
1.- Substitute m in the last equation
s = 2/3(12 + s)
s = 24/3 + 2/3s
s - 2/3s = 8
1/3 s = 8
s = 8(3)
s = 24 pounds
2.- Substitute s in the first equation
b = 5(24)
b = 120 pounds
Answer:
Length of side of rhombus is 
Step-by-step explanation:
Given Rhombus ADEF is inscribed into a triangle ABC so that they share angle A and the vertex E lies on the side BC. We have to find the length of side of rhombus.
It is also given that AB=a and AC=b
Let side of rhombus is x.
In ΔCEF and ΔCBA
∠CEF=∠CBA (∵Corresponding angles)
∠CFE=∠CAB (∵Corresponding angles)
By AA similarity rule, ΔCEF~ΔCBA
∴ their sides are in proportion
⇒ 
⇒ 
⇒ 
⇒
Hence, length of side of rhombus is
Answer:r=2.54
Step-by-step explanation: In the formula for the circumference of a circle=2πr
To find the radius of a circle that has circumference, then we have;
C=2πr C=16
16=2×3.142×r
16=6.38r
Therefore, after finding the radius our answer now is;
r=2.54
Answer:
p(x) + p(-x) = 6 is
Step-by-step explanation:
In this question, we are tasked with calculating what p(x) + p(-x) will be
From the question, we know that p(x) = x + 3
Then p(-x) will be p(-x) = -x + 3
Thus p(x) + p(-x) = x + 3 -x + 3
p(x) + p(-x) = 3 + 3 = 6
