Answer:
The ratio of the number of dogs to the number of cats is 3:4.
Step-by-step explanation:
Simplify
12:16 = 3:4
Divide each number by 4.
Interior angle add up to 360, so you add
(a+10) + (3a+10) + (5a-10) + (3a-10) = 12a
12a =360
a= 30
30+10=40
3(30)+10=100
5(30)-10=140
3(30)-10=80
You can double check they're correct by doing 40+100+140+80, which equals 360.
Answer:
∠V = 32°
Step-by-step explanation:
VW = UV
⇒ Isosceles triangle. So, the angles opposite sides are equal.
∠W = ∠U
∴ ∠W = ∠U = 74°
<h3>Angle sum property</h3>
Sum of all angles of triangle = 180
74 + 74 + ∠V = 180
148 + ∠V = 180
∠V = 180 - 148
∠V = 32°
Answer:
D. The rate of change for function B is greater than the rate of change for function A
Step-by-step explanation:
Function a has a slope (aka rate of change) of 3/3
I know this because we start at (-3, 0) then finish at (0, 3)
We added 3 to both the x value and the y value.
3/3 = 1, so we have a rate of change of 1 for function A
Now that we know this, we can write the equation out into slope intercept form.
We can get y = x + 3
The equation for function B is y = 5x + 5
The slope for function B is greater, therefore the rate of change for function B is greater than the rate of change for function A
