Answer:
Step-by-step explanation:
Given: △ABC, D∈AC
, m∠BDC=m∠ABC
, AD=7, DC=9.
Solution: Let BC=x, From the given figure and the given information, it can be seen that △ABC is similar to ΔBDC by AA rule, thus using the proportionality theorem, we get
⇒
⇒
⇒
⇒BC=12
Now, calculate the similarity scale,
k=
=
Therefore, 
⇒
⇒
Hey there! :)
We're trying to find the slope of the line on the graph (not given, but that's okay). We're given the points (-2, 2) and (4, 0).
Using the slope equation, we simply just have to plug our points in and boom - there's your slope!
Slope equation : m = y₂ - y₁ / x₂ - x₁
Now, using our given points, we can very simply plug everything in! :)
Now, in case you didn't know which number aligns with which variable, I'll go ahead and help you out with this.
x₁ = -2 , x₂ = 4 , y₁ = 2 , y₂ = 0
Now, let's plug and chug!
m = (0 - 2) / (4 - (-2))
Simplify.
m = -2 / 4 + 2
Simplify.
m = -2 / 6
Simplify.
m = -1/3
So, our slope is -1/3.
~Hope I helped!~
Answer:
y = 3x-5
Step-by-step explanation:
Answer:
Surface area of square pyramid = 380 m²
Step-by-step explanation:
Given:
Side of square base =10 m
Height of Square pyramid = 14 m
Find:
Surface area of square pyramid
Computation:
Surface area of square pyramid = Surface area of Base + 4[Surface area of triangle]
Surface area of square pyramid = [side x side] + 4[(1/2)(b)(h)]
Surface area of square pyramid = [10 x 10] + 4[(1/2)(10)(14)]
Surface area of square pyramid = 100 + 4[70]
Surface area of square pyramid = 100 + 280
Surface area of square pyramid = 380 m²
