Answer:
6. x = 15
7. JL = 78
Step-by-step explanation:
6. 8x - 23 = ½(10x + 44) (midsegment theorem)
Multiply both sides by 2
2(8x - 23) = 10x + 44
16x - 46 = 10x + 44
Collect like terms
16x - 10x = 46 + 44
6x = 90
Divide both sides by 6
x = 90/6
x = 15
7. MN = 5x - 16
JL = 4x + 34
MN = ½(JL) (midsegment theorem)
5x - 16 = ½(4x + 34) (substitution)
2(5x - 16) = 4x + 34
10x - 32 = 4x + 34
Collect like terms
10x - 4x = 32 + 34
6x = 66
x = 66/6
x = 11
JL = 4x + 34
Plug in the value of x
JL = 4(11) + 34 = 44 + 34
JL = 78
The two events that created the most tension in the story include:
- Mrs. White suggests that her husband wishes for four hands for her.
- Mr. White paid Sergeant-Major Morris a trifle for the paw.
<h3>What is tension?</h3>
It should be noted that tension in literature simply means the sense of something ominous in the literary work. It's a feeling that something is about to happen.
The Monkey's Paw is a horror short story by author W. W. Jacobs. In the story, three wishes are granted to the owner of The Monkey's Paw, but the wishes come with a price for interfering with fate.
It should be noted that Mrs. White suggesting that her husband wish for four hands for her created tension in the story as the readers were eager to know what happened in the story. Also, it should be noted Mr. White paying Sergeant-Major Morris a trifle for the paw created tension.
Learn more about tension on:
brainly.com/question/918617
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Mika placed $4200 in a savings account which compounds interest continuously at a rate of 2.3%.
How much will she have in the account after 3 years?
1st year 4200 x 1.023 = 4296.60
2nd year 4296.60 x 1.023 = 4395.4218
3rd year 4395.4218 x 1.023 = 4496.5165
Round to the nearest dollar.
$4497
The value of k in <span>
1/2 k+6=4k-8</span>
is 4
The two possible answers are w = 3 and w = -1/5
These answers can be obtained through solving to the absolute value symbols.
<span>−2∣5w−7∣+9=−7 ---> subtract 9 from both sides
</span><span>−2∣5w−7∣= -16 ---> divide both sides by -2
</span>∣5w−7∣= 8
Now, because of the absolute value symbols, set the inside equal to 8 and -8 for the two answers.
5w - 7 = 8
5w = 15
w = 3
AND
5w - 7 = -8
5w = -1
w = -1/5
