Answer:
D. 3/2
Step-by-step explanation:
The scale factor is 1/2 from OP / NQ = 1/2. Because of that, MQ is equal to half of MP and QP is equal to half of MP. Therefore, QP = MQ = 2. The slope of MO is rise over run which is 6 / 4 or 3 / 2.
The procedure to squaring a two digit number is by multiplying the first number by a integer greater than the number and putting 25 beside it.
Finding the Square of a Value is a simple method. Multiply the specified integer by itself to determine the square number. The square term is always represented as an integer multiplied by two. For example, the square of 5 is 25 multiplied by 5, giving 5×5 = 5² = 25.
What if we want to calculate the square root of a two-digit number . It might be a little challenging. Ordinary multiplication cannot be used to compute the square of two-digit values. This article will show us how to calculate the precise square of such integers.
Simply multiply a single-digit number by itself to find its square. Furthermore, by memorizing the tables from 1 to 10.
We taught about two triangles and how to find the point of any base of a triangle given the other two sides using Pythagoras' theorem.
A right triangle has three sides: the hypotenuse, perpendicular, and base. Pythagoras' theorem states that
Hypotenuse² = Perpendicular² + Base².
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*The width in your question - I assumed it is refers to the height of the triangle base.
Volume of a triangle prism = base area x height
The base is a triangle:
Volume of a triangle prism = (1/2 x base x height₁) x height₂
Plug in the values and solve for height₂:
50.4 = (1/2 x 9 x 3.5) x height
50.4 = 15.75 x height
height = 50.4 ÷ 15.75
height = 3.2 units
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Answer: Height = 3.2 units
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(x, y) = ( 
, 
)
given the 2 equations
5x - 3y - 10 = 0 → (1)
x + y - 7 = 0 → (2)
rearrange (2) to obtain y in terms of x
y = 7 - x → (3)
Substitute y = 7 - x into (1)
5x - 3(7 - x) - 10 = 0
5x - 21 + 3x - 10 = 0
8x - 31 = 0 ( add 31 to both sides )
8x = 31 ( divide both sides by 8 )
x =
Substitute this value into (3) for y
y = 7 - x = 
- =
Answer:
<h2>HJ = 17</h2>
Step-by-step explanation:
The equation:
2 + HI + 12 = 7 + 12
HI + 14 = 19 <em>subtract 14 from both sides</em>
HI = 5
HJ = HI + 12
Substitute the value of HI:
HJ = 5 + 12 = 17
