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2 years ago

Can someone help me on 7-8

Mathematics

1 answer:

Kryger [21]2 years ago

4 0

Answer:

∠M=51°

8.∠ABC=125°

Step-by-step explanation:

when we extend one line of a triangle ,the external angle is equal to the sum of two opposite internal angles.

151-2y=84+6y+3

151-2y=87+6y

151-87=6y+2y

64=8y

y=64/8=8

∠M=6y+3=6×8+3=48+3=51°

20x-15=90+5x

20x-5x=90+15

15x=105

x=105/15=7

∠ABC=20x-15=20×7-15=140-15=125°

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X(x+5)+6(x+5)=(x+5)(?)<br> help

Karo-lina-s [1.5K]

Answer:

x = -25/12 or x = -0.2

Step-by-step explanation:

x(x+5)+6(x+5)=(x+5)

Distribute

x^2 + 5x + 6x + 30 = x + 5

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x^2 + 11x + 30 = x + 5

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3 years ago

Set A of six numbers has a standard deviation of 3 and set B of four numbers has a standard deviation of 5. Both sets of numbers

Alenkinab [10]

Given:

$\sigma_A=3$

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$\sigma_B=5$

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$\overline{x}_A=\overline{x}_B$

To find:

The variance. of combined set.

Solution:

Formula for variance is

$\sigma^2=\dfrac{\sum (x_i-\overline{x})^2}{n}$ ...(i)

Using (i), we get

$\sigma_A^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{n_A}$

$(3)^2=\dfrac{\sum (x_i-\overline{x}_A)^2}{6}$

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Similarly,

$\sigma_B^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{n_B}$

$(5)^2=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$25=\dfrac{\sum (x_i-\overline{x}_B)^2}{4}$

$100=\sum (x_i-\overline{x}_B)^2$

Now, after combining both sets, we get

$\sigma^2=\dfrac{\sum (x_i-\overline{x}_A)^2+\sum (x_i-\overline{x}_B)^2}{n_A+n_B}$

$\sigma^2=\dfrac{54+100}{6+4}$

$\sigma^2=\dfrac{154}{10}$

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3 years ago

Pythagorean Theorem finding value in x

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Answer:

14.4 is the value of x in the nearest tenth

Step-by-step explanation:

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3 years ago

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Bezzdna [24]

Answer:

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3 years ago

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Chen is bringing fruit and veggies to serve at an afternoon meeting. He spends a total of $28.70 on 5 pints of cut veggies and 7

ololo11 [35]

Given:
total cost : 28.70
cost per pint of fruit : 2.85

Formula:
5v + 7f = 28.70
5v + 7(2.85) = 28.70
5v + 19.95 = 28.70
5v = 28.70 - 19.95
5v = 8.75
5v/5 = 8.75/5

v = 1.75 cost per pint of veggies.

to check:
v = 1.75 ; f = 2.85 ; total cost = 28.70

5v + 7f = 28.70
5(1.75) + 7(2.85) = 28.70
8.75 + 19.95 = 28.70
28.70 = 28.70

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3 years ago