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SVEN [57.7K]
3 years ago
7

Graph a triangle on the coordinate plane. Choose 1 transformation (reflection, rotation,

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer:

The answer in the procedure

Step-by-step explanation:

we have the right triangle ABC

The pre-image coordinates are

A(0,0),B(0,3),C(4,0)

The transformation to use is the translation

The rule of the translation is

(x,y)-----> (x+10,y)

That means----> The translation is 10 units to the right

The image coordinates are

Applying the rule of the translation

A'(0+10,0)=A'(10,0)

B'(0+10,3)=B'(10,3)

C'(4+10,0)=C'(14,0)  

using a graphing tool

see the attached figure

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2. In the triangle below, NE and KL are perpendicular bisectors. Knowing that the sum of interior angles in
Stells [14]

Answer:

a = 60°

Step-by-step explanation:

From the picture attached,

In the given triangle,

NE and ML are the perpendicular bisectors of two sides of the triangle.

Therefore, m∠MEK = m∠MLK = 90°

Since, sum of interior angles of polygon KLME = 360°

m∠MEK + m∠MLK + m∠EML + m∠EKL = 360°

90° + 90° + 120° + a = 360°

a = 360° - 300°

a = 60°

5 0
3 years ago
Suppose that 1 kg of Sodium-24 is reduced to 0.0156 kg in 90 hours. What is the half-life, in hours, of Sodium-24?​
N76 [4]

Answer:

14.99 hours

Step-by-step explanation:

The formula for half-life is given as,

R/R' = 2ᵃ/ᵇ...................... Equation 1

Where R= Original mass of sodium-24, R' = mass of Sodium-24 after disintegration, a = Total time taken for sodium-24 to disintegrate, b = half-life of sodiun-24.

Given: R = 1 kg, R' = 0.0156 kg, a = 90 hours

Substitute into equation 1 and solve for b

1/(0.0156) = 2⁹⁰/ᵇ

Taking the log of both side

log[1/(0.0156)] = log(2⁹⁰/ᵇ)

log[1/(0.0156)] = 90/b(log2)

90/b = log[1/(0.0156)]/log2

90/b = 6.0023

b = 90/6.0023

b =  14.99 hours

b = 14.99 hours.

Hence the half-life of Sodium-24 is 14.99 hours

7 0
3 years ago
Use the drawing tool(s) to form the correct answers on the provided graph.
DENIUS [597]

Answer:

I think x = 1 but I’m not sure I’m sorry

Step-by-step explanation:

3 0
3 years ago
Is -12/6 a rational number?
stiv31 [10]
A rational number is any number that can be turned into a fraction....it can be negative or positive.

Therefore, -12/6 is a rational number
3 0
3 years ago
A column of water 10 feet tall exerts a pressure of......... pounds per square foot at the base. A - 124.8 B - 624. C - 62.4 D -
-Dominant- [34]

Answer:

B. 624

Step-by-step explanation:

P = ρgh

P = (62.4 lb/ft³) (10 ft)

P = 624 lb/ft²

8 0
3 years ago
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