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Katen [24]
2 years ago
11

Find angle M and angle J of the isosceles trapezoid

Mathematics
1 answer:
fgiga [73]2 years ago
3 0
Angle J would be 118 degrees and angle M would be 62 degrees. this is because it’s an isosceles trapezoid and corresponding angles are the same.
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20 is less than the difference of 5 and twice x.
kotegsom [21]

Answer:

x=2

Step-by-step explanation:

20<5*2x

20=5*2x

20/5=5/5*2x

4=2x

x=2

4 0
2 years ago
Choose the replacement for x and y that makes this equation a true statement: 4x − 5y = −69
lesya [120]

there are various possible answers ( up till infinity)

i'll give you five possible ones:

1) x = -16 and y = 1

2) x = -11 and y = 5

3) x = -1 and y = 13

4) x = 4 and y = 17

5)  x = 104 and y = 97....


8 0
3 years ago
tyler sells candy and popcorn. Altogether he sold 15 items. He sells candy for $2 and pop corn $4 and eanred $36. How much candy
9966 [12]

Answer:

candy= 11 popcorn=4

Step-by-step explanation:

11x2=22

4x4=16

16+22=36

8 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
In the quotation in lines 61-64, George Will
nexus9112 [7]

The correct answer is option e) the extent to which a cloned person might differ from the original person.

In the quotation in lines 61-64, George Will primarily draws attention to the extent to which a cloned person might differ from the original person.

What is human(person) cloning?

Human cloning is the process of creating a genetically identical replica of a human (or clone).

The phrase is most commonly used to refer to artificial human cloning, or the replication of human cells and tissue. It does not relate to identical twins being conceived and delivered naturally.

The prospect of human cloning has sparked debate. Because of these ethical considerations, numerous countries have passed laws prohibiting human cloning.

Therapeutic cloning and reproductive cloning are the two most widely discussed kinds of human cloning. Therapeutic cloning would include cloning human cells for use in medicine and transplantation.

Context of lines 61-64

Satan is disoriented in a completely black pool of fire. Beelzebub, Satan's second-in-command, stands next to him. Satan addresses him and laments their current situation.

Satan advises them to flee the flaming lake and seek refuge on a distant beach. Beelzebub requests that Satan assemble his soldiers. Satan dons his armor and summons his armies to join him on land.

He addresses his troops and vows to continue his battle against God. The demons use their superhuman abilities to build Pandemonium, a huge temple for meetings.

EXPLANATION

The poet depicts the classic landscape of Hell in these verses. After their rebellion against God, Satan and his minions were hurled down from Heaven to Hell.

For nine days, they lay comatose in Hell's burning lake. When they regain consciousness, Satan notices that the location in which they are imprisoned is a horrifying, circular, and burning dungeon like a large furnace.

This analogy vividly conjures up the image of Hell's lake. Satan notes that there is fire but no light in Hell; it is complete darkness, complete darkness, without any residue, mixture, or prospect of light.

It will always be the blackness of darkness. The poet here employs the universal symbolism of light and dark to represent good and evil.

Satan, as Lucifer, was the brightest of all the angels before his fall; as he grows progressively more evil after his fall, he eventually loses all of his brightness.

Satan comes to the conclusion that the fires will never go out and the pain will never cease. In essence, the poet's description of Hell in these verses is a horrifying, scorching, and murky realm of sorrow and pain.

Learn more about human cloning

brainly.com/question/4736686

#SPJ4

4 0
1 year ago
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