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Maslowich
3 years ago
11

Question 2 (Mandatory) (1 point)

Mathematics
1 answer:
ludmilkaskok [199]3 years ago
6 0

Answer:

a) Using distance formula to show the two segments are congruent.

Step-by-step explanation:

You might be interested in
Whats the answer____________________
-BARSIC- [3]
(4x + 2)(4x - 2) = 16x^2 - 8x + 8x - 4

Combine like terms 16x^2 - 4

Explanation

Just multiply the each term in the first parentheses by the other terms in the second parentheses.


7 0
3 years ago
the height of a triangle is 2 centimetres more than the base. if the height is increased by 2 centimetres while the base remains
tia_tia [17]

Answer:

Base = 11 cm

Height = 13 cm

Step-by-step explanation:

It is given that the height of a triangle is 2 centimetres more than the base.

Let x cm be the base of triangle. So height of the triangle is x+2 cm.

It is given that if the height is increased by 2 centimetres while the base remains the same, the new area becomes 82.5 centimetres square.

New height = (x+2)+2 = x+4 cm

Area of a triangle is

A=\dfrac{1}{2}\times base\times height

82.5=\dfrac{1}{2}\times x\times (x+4)

165=x^2+4x

x^2+4x-165=0

Splitting the middle term, we get

x^2+15x-11x-165=0

x(x+15)-11(x+15)=0

(x+15)(x-11)=0

Using zero product property, we get

x=-15,11

Base of a triangle can not be negative, therefore x=11.

Base = 11 cm

Height = 11+2 = 13 cm

Therefore, the base of original triangle is 11 cm and height is 13 cm.

4 0
4 years ago
You are traveling by car to New York City. The map you will use for your journey is below.
love history [14]

Answer

pop

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Following are measurements of soil concentrations (in mg/kg) of chromium (Cr) and nickel (Ni) at 20 sites in the area of Clevela
WINSTONCH [101]

Answer:

a) see attached

b) see attached

Step-by-step explanation:

There is existence of outlier in the Ni data and there is none is Cr data.

########################################

# You can try this out in R programming

cr = c(34, 1, 511, 2, 574, 496, 322, 424, 269, 140, 244, 252, 76, 108, 24,

38, 18, 34, 30, 191)

Ni = c(23, 22, 55, 39, 283, 34, 159, 37, 61, 34, 163, 140, 32,

23, 54, 837, 64, 354, 376, 471)

par(mfrow=c(1,2))

hist(cr, col='green')

hist(Ni, col='brown')

par(mfrow=c(1,2))

boxplot(cr, main = 'Boxplot of Cr')

boxplot(Ni, main = 'Boxplot of Ni')

boxplot(cr, Ni)

7 0
3 years ago
Please help me with this question.
Hunter-Best [27]

Answer:

b. Shift left 3 units

Step-by-step explanation:

You're given

y = √(x + 3)

y = √(x - (-3))

y = √(x - <em>amount_shifted</em>)

amount shifted = -3

so shifted 3 units and the negative means it's shifted to the left

8 0
4 years ago
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