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Studentka2010 [4]
3 years ago
12

if the traingle.is translated using the rule (x,y) -> (x +3,y-5), by how many units and in what direction was the preimage tr

anslated
Mathematics
1 answer:
Lelu [443]3 years ago
3 0

Three to the right and five down

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Is a triangle with sides of length 6ft, 21 ft, 23 ft. A right triangle?
gayaneshka [121]

Answer:

No

Step-by-step explanation:

By using the Pythagoras theorem, it can be easily determined that whether the triangle is right triangle or not.

Thus, a^{2}+b^{2}=c^{2} where where a and b are the legs and c is the hypotenuse.

Let a=6ft, b=21ft and c=23ft, then

a^{2}+b^{2}=c^{2}

(6)^{2}+(21)^{2}=(23)^{2}

36+441=(23)^{2}

477=529

which is not possible, therefore the given triangle is not right triangle because it does not satisfy the Pythagoras theorem.


7 0
3 years ago
Find the measure of /_ MFZ
marshall27 [118]

Given:

MZ\cong PZ

m\angle MFZ=(x+9)^\circ

m\angle PFZ=(2x-1)^\circ

To find:

The measure of angle MFZ.

Solution:

In triangles MFZ and PFZ,

m\angle FMZ\cong \angle FPZ           (Right angle)

MZ\cong PZ           (Given)

FZ\cong FZ           (Common side)

\Delta MFZ\cong \Delta PFZ                  (HL congruent postulate)

\angle MFZ\cong \angle PFZ           (CPCTC)

m\angle MFZ=m\angle PFZ

x+9=2x-1

9+1=2x-x

10=x

The value of x is 10.

The measure of angle MFZ is:

m\angle MFZ=(x+9)^\circ

m\angle MFZ=(10+9)^\circ

m\angle MFZ=19^\circ

Therefore, the measure of angle MFZ is 19 degrees.

7 0
2 years ago
Choose all the options that are examples of volume:
Ulleksa [173]

Answer:

2. The amount of soup in a can

3. The amount of chips in a bag of chips

5. The amount of chocolate that makes up a chocolate bar.

Step-by-step explanation:

Volume is the amount that a substance or object occupies, or that is enclosed within a container, so 1 and 4 wouldn't make sense since 1 is a shadow that doesn't take up anything three dimensional, and same goes with 4.

8 0
3 years ago
In Canada, households spent an average of $80.63 CDN monthly for high-speed broadband access.24 Assume that the standard deviati
ELEN [110]

Answer:

Step-by-step explanation:

Assuming a normal distribution for the amount spent by Canadian households for high-speed broadband access, the formula for normal distribution is expressed as

z = (x - u)/s

Where

x = amount spent by the Canadian households.

u = mean amount spent monthly.

s = standard deviation

From the information given,

u = $80.63 CDN

s = $27.32 CDN

We want to find the probability that the average amount will exceed $85. It is expressed as

P(x greater than 85) = 1 - P(x lesser than or equal to 85)

For x = 85

z = (85 - 80)/27.32 = 0.18

Looking at the normal distribution table, the corresponding z score is 0.57142

P(x greater than 85) = 1 - 0.57142 = 0.43

3 0
3 years ago
Find the volume of the<br> rectangular prism.<br> 2 cm<br> 1<br> 8 cm<br> 5 cm
Leto [7]
Volume is length x width x height.
So, 2x8x5= 80 cubic centimeters
7 0
3 years ago
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