X, X+2, X+4 ARE THE 3 POSITIVE CONSECUTIVE INTEGERS.
X(X+2)=8+38(X+4)
X^2+2X=8+38X+152
X^2+2X-38X-8-152=0
X^2-36X-160=0
(X-40)(X+4)=0
X-40=0
X=40 ANSWER FOR THE FIRST INTEGER.
40+2=42 FOR THE SECOND INTEGER.
Answer:
A. (2 x 20) + 5
B. $45
Step-by-step explanation:
I dont know how to explain A. but,
2 x 20= 40
40 + 5 = 45
Answer:
C. 102 meters.
Step-by-step explanation:
Since we know that dilation changes the all sides of any figure with the same factor.
We have been given two parallelograms and lengths of their corresponding sides. We can see that side length 3.5 m corresponds to side length 21 m. Let us find factor of dilation from our given side lengths.
The factor of dilation is 6, which means that sides of larger parallelogram are 6 times the sides of smaller parallelogram.
We have been given that perimeter of smaller parallelogram is 17 meters, therefore, the perimeter of our larger parallelogram will be 6 times the perimeter of smaller parallelogram.
Therefore, the perimeter of larger parallelogram will be 102 meters and option C is the correct choice.
BO is double that of DO. In other words, BO is two times longer than DO. The answer is choice B
For example, if DO were 3 units long, then BO would be 6 units long (2*3 = 6). This works because the triangles DCO and BAO are similar triangles. The corresponding sides are in the same ratio or proportion to one another. The larger triangle (BAO) has sides that are twice as long as the smaller triangle's (DCO) corresponding sides.
Side note: we can prove the triangles to be similar using the AA (angle angle) similarity theorem. The first pair of angles are the vertical angles DOC and BOA which are congruent to each other.The second pair is CDB and ABD which are congruent by the alternate interior angle theorem. Check out the attached image for a visual.
Answer:
ΔV = 24*π inches
Step-by-step explanation:
Amy Tube volume = V₁ the 6 inches sides will shape the circumference of area A₁ = π*r²
A₁ = π*(3)² and
V₁ = π*r²*h₁
V₁ = π*(3)²*8
V₁ = 72*π
In the case of Belinda, r will be 4 inches and h₂ = 6 and V₂
V₂ = A₂*h₂
V₂ = π*(4)²*6
V₂ = 96* π
Then differences of the volumes is
V₂ - V₁ = ΔV = 96*π - 72*π
ΔV = 24*π inches