Answer:
Picture 1:
12x+1=109
12x=108
x=9
Picture 2:
2x-3=57
2x=60
x=30
Let me know if this helps!
To solve this problem, we need to recognize that Harry's age is given as "n". We can use this value and the given information to write expressions representing each person's age.
For Example, Jo is 2 years older than Harry and Harry's age is represented by the variable n. This means that n (Harry's age) plus 2 would equal Jo's age. This can be represented by the expression: n +2.
Next, we know that Kate is twice as old as Jo, and Jo's age is represented by the expression n+2. This means that 2 times Jo's age would be equal to Kate's age, or Kate's age = 2(n+2) or 2n +4.
Therefore, your answer is that Jo's age is n + 2 and Kate's age is 2n + 4.
Hope this helps!
Answer:Latin hostis
Step-by-step explanation:
gostĭ is “guest,” whereas that of Latin hostis is “enemy.” To explain the connection between “guest” and “enemy” it is usually supposed that both derived their meaning from “stranger,” a sense which is still attested in Latin. The notion “favorable stranger” developed to “guest”; that of “hostile stranger” to “enemy.”
The sum of interior angles of any polygon is:
s=180(n-2)
Since we are dealing with a triangle:
s=180(3-2)
s=180°
That is, the sum of angles of any triangle is 180°.
In this case we are given two angles with measures of 32° and 102° so
a+b+c=180
32+b+102=180 combine like terms on left
b+134=180 subtract 134 from both sides
b=46°
Answer:
y = x/2 - 7
Step-by-step explanation:
First, we need to find the slope of the given equation: x - 2y = 8
Subtract x from both sides
x - 2y = 8
- x - x
-2y = 8 - x
Divide both sides by -2
-2y/-2 = (8 - x)/-2
y = -4 + x/2
The slope of this equation is 1/2
So the equation of our parallel equation is y = x/2 + b
We have to find b, so plug in the given coordinates
-6 = 2/2 + b
-6 = 1 + b
Subtract 1 from both sides
-6 = 1 + b
- 1 - 1
b = -7
Plug it back into the original equation
y = x/2 - 7
