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oksano4ka [1.4K]
2 years ago
9

Ana angle measure 79.8 degrees less than the measure of it’s complementary angle what is the measure of each angle

Mathematics
1 answer:
RUDIKE [14]2 years ago
8 0

Answer:

x = 129.8 degrees,  y = 50.2 degrees,    x + y = 180

Step-by-step explanation:

Let's say you have 2 supplementary angles, x and y

So x + y = 180

if x is 79.8 degrees less than the measure of a supplementary angle, then x = y - 79.8

Putting this into our x + y = 180 equation, we get

(y - 79.8) + y = 180

2y - 79.8 = 180

2y = 180 + 79.8

2y = 259.8

y = 259.8/2 = 129.9 degrees.

so x = 129.9 - 79.6 = 50.3 degrees.

See if it worked. x = 129.9 degrees,  y = 50.3 degrees,    x + y = 180 so we found the correct two angles! :-)

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540 x 60 (how many minutes are in a hour) = 32400.

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For each of the following functions, determine if they are injective. Also determine if theyare surjective. Also determine if th
timurjin [86]

Answer:

Check below

Step-by-step explanation:

1. Definition for intervals

(a,b)=\left \{ x\in\Re : a

2. Functions

1) \Re \rightarrow \Re \\ f(x)=x

Let's perform graph tests.

That's an one to one, injective function. Look how any horizontal line touches that only once. Also, It's a surjective and a bijective one.

2)\Re\geq0\rightarrow\Re , f(x)=x+1\\

Injective, surjective and bijective.

Injective: a horizontal line crosses the graph in one point.

3)f:\Re\geq 0\rightarrow\Re, f(x) = cos(x)

The cosine function is not injective, bijective nor surjective.

4)f:\Re\rightarrow\Re \:f(x)=ex

Since e, is euler number it's a constant. It's also injective, surjective and bijective.

5)  Quite unclear format

6) \:f:\Re\rightarrow(0,\infty), f(x) =ex

Despite the Restriction for the CoDomain, the function remains injective, surjective and therefore bijective.

7) f:\Re\geq 0 \rightarrow  \Re\geq0, f(x) =x^{4}

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8).f:\{-1,2,-3\}}\rightarrow \{1,4,9\}, f(x) =x^{2}

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10) f:\Re\geq 0\rightarrow [-1,1], f(x)= cos(x)\\-1=cos(x) \therefore x=\pi,3\pi,5\pi,etc.

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11.f:R\geq 0[-1,1], f(x) = 0\\

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12.f: US Citizens→Z, f(x) = the SSN of x.

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7 0
3 years ago
Helpppp
Tom [10]
D because if it says -3 that means the opposite so go right because it is also horizontal and + means up so go up because it is vertical.
6 0
3 years ago
Suppose the weekly amount of money spent on maintenance and repairs by a company is NOT approximately normally distributed. Howe
UNO [17]

Answer:

Probability = 0.00621

Step-by-step explanation:

We are given;

Population mean; μ = 400

Population standard deviation; σ = 20

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the probability that the actual costs will exceed the budgeted amount will be the p-value.

Thus, let's first find the z-score after which we will find the p-value.

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z = (450 - 400)/20

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From online p-value from z-score calculator attached, using z = 2.5; one tailed hypothesis; significance level of 0.05, we have;

P-value = 0.00621

8 0
3 years ago
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