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Lera25 [3.4K]
3 years ago
15

Help me with this please.

Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
5 0

Answer:

JL = 78

Step-by-step explanation:

MN is a midsegment. Based on the midsegment theorem,

MN = ½(JL)

MN = 5x - 16

JL = 4x + 34

Plug in the value

5x - 16 = ½(4x + 34)

5x - 16 = ½*4x + ½*34

5x - 16 = 2x + 17

Collect like terms

5x - 2x = 16 + 17

3x = 33

Divide both sides by 3

x = 11

✔️JL = 4x + 34

Plug in the value of x

JL = 4(11) + 34

JL = 44 + 34

JL = 78

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Please answer both thank ​
WARRIOR [948]

Answer:

the second one for #4 and the third one for #5

Step-by-step explanation:

4. The sum of x and y is 24, so x+y = 24. The difference is 15, so x-y = 15, or

y-x=15 (they didn't specify which was which). Therefore, A, C, and D are correct, so x = 15-y is the answer (x = 15-y is the same as x+y = 15, which is false).

5.

Matt = 6 apple pies + 4 lemon pies and he got 80 dollars.

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tigry1 [53]

Answer:

9. the measure of DEF is 103°

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Refer to the accompanying​ TI-83/84 Plus calculator display of a​ 95% confidence interval. The sample display results from using
Darina [25.2K]

Answer:

[22.57 ± 2.776]

Step-by-step explanation:

Hello!

You have the 95% Confidence Z-interval (21.182;23.958), the mean X[bar]= 22.57 and the sample size n=25.

The formula for the Z interval is

[X[bar] ± Z_{1-\alpha /2} *( \frac{Sigma}{\sqrt{n} } )]

The value of Z comes from tha standard normal table:

Z_{1-\alpha /2} = Z_{0.975}= 1.96

The semiamplitude (d) or margin of error (E) of the interval is:

E or d= (Upperbond- Lowerbond)/2 = (23.958-21.182)/2 = 2.776

[X[bar] ± E]

[22.57 ± 2.776]

I hope it helps!

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