Answer:
y=10x+99
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the point-slope formula y−y1=m(x−x1) to find the line perpendicular to x+10y=60.
Answer:
The area of ∆DEF = 4.5in²
Step-by-step explanation:
From the above diagram,
∆BAC ~∆DEF
It is important to note that if two triangles are similar, the ratio of their areas is equal or equivalent to the ratio of the areas of their sides
This means for the above question, that
We have the bigger triangle = ∆BAC has a side of 4 in and Area = 8 in²
The small triangle has a side of 3in
Finding the scale factor k = ratio of the sides of both Triangles
k = 4/3
k² = (4/3)²
k² = 16/9
Hence,
Area of ∆BAC/ Area of ∆DEF = 16/9
8in²/Area of ∆DEF = 16/9
We cross Multiply
8 in² × 9 = Area of ∆DEF × 16
Divide both sides by 16
Area of ∆DEF = 72/16
= 4.5in²
Therefore, the Area of ∆DEF rounded to the nearest tenth = 4.5in²
Answer:
0.694444444
Step-by-step explanation:
just divide the top from the bottom-
Answer:
9
Step-by-step explanation:
Given that the sample size is 45 blocks
Let number of red blocks in the bag to be x
Then the probability of chosing a red block will be x/45
Given that the probability of choosing a red block is 1/5 then you can form the expression;
x/45 = 1/5 ---------------find the value of x by performing cross multiplication
5x=45*1
5x/5=45/5
x=9
Answer
Julia put 9 red blocks in the bag.
