Plz help I’m struggling

Mathematics

1 answer:

dimaraw [331]4 years ago

7 0

Answer:

COA is 63 degrees

HOG is 76 degrees

AOH is 39 degrees

FOE is 39 degrees

Step-by-step explanation:

Hope this helps. Remember the one half of the side has to equal 180 degrees. Vertical angles are the same measure.

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The following is an arithmetic sequence that has 10 numbers LaTeX: 1,\ a_2, \ a_3, \ a_4, \ \cdots,\ a_{10}.1 , a 2 , a 3 , a 4

Naddika [18.5K]

Answer:

$a_2=3$

Step-by-step explanation:

The arithmetic sequence is given as: $1,\ a_2, \ a_3, \ a_4, \ \cdots,\ a_{10}$

We are told that the 10 numbers add up to 100.

$S_n=\frac{n}{2}(a_1+l)\\ $Where: \\n=number of terms\\l=last term\\a_1$=first term$

$S_{10}=100\\100=\dfrac{10}{2}(1+l)\\100=5(1+l)\\$Divide both sides by 5$\\20=1+l\\$Last term, $l=20-1=19$

We know that the nth term of an arithmetic sequence

$l=a_1+(n-1)d\\19=1+(10-1)d\\19=1+9d\\9d=19-1\\9d=18\\d=2$

Therefore, the second number

$a_2=a_1+2\\=1+2\\a_2=3$

3 0

4 years ago

Aiden is trying to save money and has $1800 to set aside in some type of savings account. He checked his bank one day, and found

kipiarov [429]

I = Prt

Interest on CD = 0.0425 x $1,800 = $76.5
Interest on savings = 0.0275 x $1,800 = $49.5

Difference of interest on CD and Interest on savings = $76.5 - $49.5 = $27

Therefre, he will earn $27 more if he invest in a CD rather than in a savings.

8 0

3 years ago

Factorise: 54x2 + 42x3 – 30x4

DerKrebs [107]

Answer:

Answer: x²(5 + 42x - 30x²)

Step-by-step explanation:

${ \tt{ {5x}^{2} + {42x}^{3} - {30x}^{4} }}$