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Aleksandr-060686 [28]

3 years ago

12

the measure of the supplement angle is 24 more than three time the measure of the original angle. find the measures of the angle

s.

1 answer:

Gala2k [10]3 years ago

4 0

Step-by-step explanation:

Let x° be the original angle. Then the supplement angle is (180 - x)° and (180 - x) = 3x + 24.

180 - x = 3x + 24

4x = 156

x = 39

Hence the original angle is 39° and the supplementary angle is 141°.

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Simplify the expression, Please help!!

Serhud [2]

For the first one it would be C.

3 0

3 years ago

While sightseeing in Rome, Lance stopped to see the Colosseum. He learned that the height of the outer wall of the Colosseum mea

Tresset [83]

Answer:

157.44 feet

Step-by-step explanation:

Given that:

Lance is out for sightseeing in Rome.

Lance went to see the Colosseum.

Height of the outer wall of the Colosseum = 48 meters

Unit Conversion formula:

1 meter = 3.28 feet

To find:

Height of the outer wall of the Colosseum in feet.

Solution:

It is simple problem for the conversion of unit where we already know the value in one unit and the conversion formula as well.

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5 0

3 years ago

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blagie [28]

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Step-by-step explanation:

Slope formula:

$m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }$

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4 0

3 years ago

Read 2 more answers

Give an example of a function f : N → N that is surjective but not injective. You must explain why your example is surjective an

Helen [10]

Answer:

Consider f: N → N defined by f(0)=0 and f(n)=n-1 for all n>0.

Step-by-step explanation:

First we will prove that f is surjective. Let y∈N be any natural number. Define x as the number x=y+1. Then x∈N, and f(x)=x-1=(y+1)-1=y. We conclude that f is surjective.

However, f is not injective. Take x1=0 and x2=1. Then x1≠x2 but f(x1)=0 and f(x2)=x2-1=1-1=0. We have shown that there are two natural numbers x1,x2 such that x1≠x2 but f(x1)=f(x2), that is, f is not injective.

Note:

If 0∉N in your definition of natural numbers, the same reasoning works with the function f: N → N defined by f(1)=1 and f(n)=n-1 for all n>1. The only difference is that you consider x1=1, x2=2 for the injectivity.

7 0

3 years ago

16 multiply 7/8 in simplest

denpristay [2]

Answer: 14

= 16 x (7/8)
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5 0

3 years ago