Answer:
c
Step-by-step explanation:
Answer:
14.60
Step-by-step explanation:
Note that there are 100 centimeters in 1 meter. The plant is 13 meters tall, and grows 8 centimeter every month. It is asking you for 20 months worth (x = 20) of growth.
First, solve for the amount of centimeters total in 20 months:
8 centimeter per month x 20 months = 160 centimeters per 20 months.
Remember, there are 100 centimeters in every meter. Therefore:
160 centimeter/ 100 centimeters per meter = 1.60 meters.
Add the growth to the original height:
13.00 + 1.60 = 14.60
14.60 meters is your answer.
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∠O ≅ ∠U is third statement which is congruent .
What is congruent triangle?
- Two figures are said to be "congruent" if they can be placed perfectly over one another. Both of the bread slices are the same size and shape when stacked one on top of the other.
- Congruent refers to having precisely the same form and size.
- If all three sides of two triangles are the same, they are said to be congruent.
- If we have a side, an angle between the sides, and then a second side that is congruent, we know they are congruent. In other words, side, angle, side.
ΔONP and ΔUTV are congruent .
By using ASA Theorem ,
NP ≅ TV
∠P ≅ ∠V
∠O ≅ ∠U
Learn more about congruent
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Answer:
Step-by-step explanation:
p + n + d + q = 25
Put everything into quarters.
p and q are equally likely to be drawn
q + n + d + q = 25
There are 3 times as many nickels as quarters
n = 3q
q + 3q + d + q = 25
There is 25% more dimes than quarters.
d = 1.25 q
q + 3q + 1.25q + q = 25
6.25 q = 25
q = 25/6,25
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q = 4
p = 4
d = 1.25 * 4 = 5
n = 12
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