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Ne4ueva [31]
3 years ago
14

Solve for x in the diagram below.

Mathematics
2 answers:
-BARSIC- [3]3 years ago
6 0

Answer:

x = 34

Step-by-step explanation:

The 3 labeled angles create a straight line, so that means they will add up to 180°.

(x + 12) + 100 + x = 180

2x + 112 = 180

Subtract 112 from both sides.

2x = 68

Divide both sides by 2.

x = 34

enyata [817]3 years ago
3 0

Answer:

40

Step-by-step explanation:

2x+100=180

    -100 -100

2x       =80

/2          /2

x          =40

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!!!!!!!!!!!!!!!!!!!!
Andru [333]

Answer:

f^{-1}(x)=4x+20

Step-by-step explanation:

<u>Given</u>

<u />f(x)=\frac{x}{4}-5\\ \\y=\frac{x}{4}-5

<u>Swap x and y and solve for y</u>

<u />y=\frac{x}{4}-5\\ \\x=\frac{y}{4}-5\\ \\x+5=\frac{y}{4}\\ \\4(x+5)=y\\\\y=4x+20

<u>Final answer</u>

<u />f^{-1}(x)=4x+20

Keep in mind that we need to swap the variables because a function and its inverse are symmetrical about the line y=x. See the graph below.

3 0
3 years ago
ANOVA is a hypothesis testing technique used to compare the equality of means for two or more groups; for example, it can be use
Elza [17]

Answer:

The answer is below

Step-by-step explanation:

ANOVA can be used in a construction industry whereby the construction or project manager is saddled with the responsibility of picking the most appropriate method of construction or materials to be used during construction in the face of two or more alternative options.

For example in terms of method of construction, two or three methods of construction may be available to pick from to construct a building project.

However, due to the possibility of differences in construction cost, and project duration. The construction manager may need to use an ANOVA test to determine the project duration of each method and if it is later revealed through the test that all the methods of construction will lead to the project being delivered on time as the client scheduled.

Then, the construction manager may then result to pick the least expensive alternative of the construction methods.

6 0
3 years ago
Kimberly went to a new animated monster movie yesterday afternoon. When she went into
Greeley [361]
<h3>Answer:  -14 degrees Fahrenheit</h3>

Explanation:

Draw a vertical number line. At the center is 0. Anything above this marker represents positive temperatures. Anything below 0 is negative. So we'll have -8 below 0. Move 6 spaces down to go from -8 to -14. You can think of it as moving 6 floors down a building to go from basement level 8 to basement level 14.

3 0
3 years ago
You have 42 coins with a total value of $3.00. Some of the coins are dimes, and the rest are quarters.
nlexa [21]

Answer:

1. $3.00+42=$3.42

2. 4 Dimes , 2 Pennies

Step-by-step explanation:

2. 4 Dimes = 40 cents , 2 pennies = 2 cents

1. Add up 3.00+42 and that is how you could get the answer for number 1 .

6 0
3 years ago
I do not know how to do this! Please help me!
Andrew [12]

\qquad\qquad\huge\underline{\boxed{\sf Answer}}

Perimeter of given figure is equal to :

Perimeter of square - side length + quarter Circumference of the circle

that is :

\qquad \sf  \dashrightarrow \:(10 \times 4) - (5 + 5) +  \dfrac{2 \pi r}{4}

\qquad \sf  \dashrightarrow \:40- 10 +  \dfrac{3.14 \times 5}{2}

\qquad \sf  \dashrightarrow \:30+  \dfrac{15.7}{2}

\qquad \sf  \dashrightarrow \:30 + 7.85

\qquad \sf  \dashrightarrow \:37.85 \:  \: units

So, the required perimeter is 37.85 units

6 0
2 years ago
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