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alexdok [17]
2 years ago
6

Please help me thank you I appreciate it

Mathematics
2 answers:
Westkost [7]2 years ago
7 0
90-42= 48

It’s a right angle.
Right angles are 90 degrees
LuckyWell [14K]2 years ago
4 0

Answer:

angle FDE+angle CDF=90° (given CDE=90°)

angle CDF=90-42

angle CDF=48°

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What is the distance between point W and X to nearest hundredth?​
quester [9]

Answer:  16.97

<u>Step-by-step explanation:</u>

To find the distance from W to X, you can use the distance formula ...or... draw a right triangle using W and X as the vertices and use Pythagorean Theorem to find the hypotenuse. I will solve using the latter.

The y-distance from W to X is 12.

The x-distance from W to X is 12.

hypotenuse² = 12² + 12²

                      = 144 + 144

                      = 288

hypotenuse = \sqrt{288}

                     = 16.97

4 0
3 years ago
Sarah is a computer engineer and manager and works for a software company. She receives a
daser333 [38]

Answer:

a) Number of projects in the first year = 90

b) Earnings in the twelfth year = $116500

Total money earned in 12 years = $969000

Step-by-step explanation:

Given that:

Number of projects done in fourth year = 129

Number of projects done in tenth year = 207

There is a fixed increase every year.

a) To find:

Number of projects done in the first year.

This problem is nothing but a case of arithmetic progression.

Let the first term i.e. number of projects done in first year = a

Given that:

a_4=129\\a_{10}=207

Formula for n^{th} term of an Arithmetic Progression is given as:

a_n=a+(n-1)d

Where d will represent the number of projects increased every year.

and n is the year number.

a_4=129=a+(4-1)d \\\Rightarrow 129=a+3d .....(1)\\a_{10}=207=a+(10-1)d \\\Rightarrow 207=a+9d .....(2)

Subtracting (2) from (1):

78 = 6d\\\Rightarrow d =13

By equation (1):

129 =a+3\times 13\\\Rightarrow a =129-39\\\Rightarrow a =90

<em>Number of projects in the first year = 90</em>

<em></em>

<em>b) </em>

Number of projects in the twelfth year =

a_{12} = a+11d\\\Rightarrow a_{12} = 90+11\times 13 =233

Each project pays $500

Earnings in the twelfth year = 233 \times 500 = $116500

Sum of an AP is given as:

S_n=\dfrac{n}{2}(2a+(n-1)d)\\\Rightarrow S_{12}=\dfrac{12}{2}(2\times 90+(12-1)\times 13)\\\Rightarrow S_{12}=6\times 323\\\Rightarrow S_{12}=1938

It gives us the total number of projects done in 12 years = 1938

Total money earned in 12 years = 500 \times 1938 = $969000

8 0
2 years ago
The number divided by -4 is increased by -63, the result is -45. What is the number? 
Pavlova-9 [17]
X / (-4) + ( -63) = -45 <=> x / ( -4) = 63 - 45 <=> x / (-4) = 18 <=> x = 18 * (-4) <=> x = -72.
3 0
3 years ago
Read 2 more answers
Find an exponential function of the form y = ab* that passes through the points (0,4)
IrinaK [193]

Answer:

2nd option

Step-by-step explanation:

given an exponential function in the form y = ab^{x}

to find a and b use the coordinate points it passes through

using (0, 4 ) , then

4 = ab^{0} [ b^{0} = 1 ] , that is

a = 4 , so

y = 4b^{x}

using (2, 100 )

100 = 4b² ( divide both sides by 4 )

25 = b² ( take the square root of both sides )

\sqrt{25} = b , that is

b = 5

then exponential function is

y = 4 . 5^{x}

6 0
2 years ago
Use the figure to find the measure of angle 1. *
QveST [7]

Answer:  angle 1 = 110 degrees

This is because angle 1 and the red 110 degree angle are corresponding angles.

They correspond to one another due to the fact they are both in the southwest corner of each 4-corner angle configuration (which is the result of crossing two lines)

Corresponding angles are congruent only when we have parallel lines like this.

6 0
3 years ago
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