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Tomtit [17]
2 years ago
8

Given: ABCDis a parallelogram ∠GEC ≅ ∠HFA and AE ≅FC. Prove △GEC ≅ △HFA.

Mathematics
2 answers:
alexandr402 [8]2 years ago
7 0

See the proof in the image

OlgaM077 [116]2 years ago
4 0

<G E C=<H F A

A s

  • A E=F C
  • A F=E C

A lso

  • <CAH=<GCE

Hence

  • △GEC ≅ △HFA(ASA)
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Desiree works 28 hours per week. She has a monthly income of $120 from investments. Desiree also plays in a band one night a wee
Oksi-84 [34.3K]
So hmmm let's see
she has a monthly income of 120 from investments, now, there are 12 months in a year, so her yearly income from investments are 120*12 or
$1440

she plays on a band, and makes 200 a week, now, there are 52 weeks in a year, so her yearly income from band playing is 200 * 52, or
$10400

her total annual income is 49696, now, if we subtract the band and investment income, we'd be left over with only what comes from her job payrate
so 49696 - 1440 - 10400 is 37856

so, she makes from her job, $37856 annually

now, she only works 28 hours weekly, how much is that yearly?   well, 52 weeks in a year, she works 28*52 hours a year, let us divide 37856 by that

37856 ÷ ( 28 * 52)   well, it ends up as 26

so, her hourly payrate is $26 per hour

now, she wants to ask for a raise, to make 51880 annually

well, if we check the difference of 51880 and 49696, that'd leave us with the difference in pay, or the raise annual amount

51880 - 49696 = 2184

ok, so she wants $2184 annually more from her work
how much is that in the hours she works annually?  well 2184 ÷ ( 28 * 52)
7 0
3 years ago
Read 2 more answers
As professional sports teams become more and more profitable, the salaries paid to the players have also increased. In fact, man
lesya [120]

Answer: Median

Step-by-step explanation:

some sport superstars are paid extremely huge salaries, but this is not always the case for all spott stars. Since the mean is largerly influenced by the large salaries the data becomes unrelaible When estimating the center but reliable when it comes down to representing the center. With this reason is why the median would be considered.

7 0
3 years ago
What's the answer to this math picture please?
professor190 [17]

Answer:

m<BGC = 145°

Step-by-step explanation:

<AGC and <DGB are vertical angles. Vertical angles are congruent. Therefore:

m<AGC = m<DGB

3x + 20 = 8x - 5 (substitution)

Collect like terms

3x - 8x = -20 - 5

-5x = -25

Divide both sides by -5

x = 5

m<BGC = 180 - (m<AGC) (linear pair)

m<BGC = 180 - (3x + 20)

Plug in the value of x

m<BGC = 180 - (3(5) + 20) = 180 - 35

m<BGC = 145°

3 0
3 years ago
Alright another here we go, Please help!
yaroslaw [1]

Answer:

4x=y

Step-by-step explanation:

4x=y is your answer because if x is 5, like in the table, then 4(5) would equal 20, which is the y-value. It also works for every number in the table.

Hope this helps.

5 0
3 years ago
The volume of a rectangular prism is 72 in3. If the height is 6 inches and the width is 3 inches, what is the length?​
stellarik [79]

Answer:

4

Step-by-step explanation:

Volume= length*width*height

72=Length*3*6

72=Length*18

divide by 18 both sides to get Length=4 inches

8 0
3 years ago
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