Answer:
Step-by-step explanation:
we know that
If two figures are congruent, then its corresponding sides and its corresponding angles are congruent
In this problem
△MON≅△PQR
so
corresponding sides
MO≅PQ
MN≅PR
ON≅QR
corresponding angles
∠M≅∠P
∠O≅∠Q
∠N≅∠R
therefore
MN=PR
substitute the given values
solve for x
We can obtain the total parts separated by adding 7 and 3.
There r 10 parts sharing in 240g,
240 ÷ 10 = 24
So each part gets 24g
Now Jordan has 7 parts, therfore 24 x 7 is 168,
So Jordan has 168g
Answer:
7.73cm^2
Step-by-step explanation:
The equation for area of a circle is a= pie r^2. Now plug in pie as 3.14 and you radius which would be 3 because the image is showing the diameter as 6 and radius is half the diameter. The equation is now a=3.14 x3x3. The area of the circle would be 28.27cm^2.
Now we must find the area of the square. To do this multiple the diameter which is 6 times itself. 6x6=36. The area of the square is 36cm^2.
Now subtract the square area from the circle area. 36 - 28.27 = 7.73. The left over plywood would be 7.73cm^2.
I hope this helps! If you have anymore questions feel free to ask! :D
Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form using the method of completing the square.
Given
f(x) = 3x² - 24x + 10
We require the coefficient of the x² term to be 1 , thus factor out 3
3(x² - 8x) + 10
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
= 3(x² + 2(- 4)x + 16 - 16) + 10
= 3(x - 4)² + (3 × - 16) + 10
= 3(x - 4)² - 48 + 10
= 3(x - 4)² - 38, thus
f(x) = 3(x - 4)² - 38 ← in vertex form
Answer:
b
Step-by-step explanation:
