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3 years ago

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In the accompanying diagram, CD EF, AB is a transversal, m DGH = 2x , and m FHB = 5x - 51. Find the measure, in degress, of BHE?

?

1 answer:

Ainat [17]3 years ago

4 0

Answer:17

Step-by-step explanation:

2x=5x−51

−3x=−51

x=

3

51

x=17

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9,277,414 the 7 in the thousand place is______ the value of the 7 in the ten thousand place

mario62 [17]

the 7,000 is 9,000 less than the 7 in the ten thousand place

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3 years ago

2 1/6 - (-8/3) + (-4 7/9) =

Vladimir [108]

Answer:

1/18

Step-by-step explanation:

First make it so they all have the same denominator.

So...

2 3/18 - (- 48/18) + (- 4 14/18)

Then we remove parenthesis...

2 3/18 +48/18 - 4 4/18

1/18

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brainliest?

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2 years ago

State whether each sequence is arithmetic and justify your answer. If the sequence is arithmetic, write a recursive and an expli

nasty-shy [4]

Answer:

Part A

$f(n)=52-12(n-1)$

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$ Geometric Sequence

Part C

1/4,3/4,5/4,7/4,9/4

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)\\f(n)=\left\{\begin{matrix}1/4if \: \:n=1 & \\ f(n+1)+2/4& if\: n\geq 2 \end{matrix}\right$

Part D:

$h(n)=1.1+0.4(n-1)\\h(n)=\left\{\begin{matrix}1.1 & if\:n=1 \\ h(n+1)+0.4 & if\:n\geq 2\end{matrix}\right$

Step-by-step explanation:

By definition, an Arithmetic Sequence holds the same difference between each following number.

Part A

$(52,40, 28, 16)\\52-40=12\\40-28=12\\28-16=12\\d=12$

<u>Explicit Formula</u>

To write an explicit formula is to write it as function.

$f(n)=52-12(n-1)$

<u>Recursive Formula</u>

To write it as recursive formula, is to write it as recurrence given to some restrictions:

$f(n)=\left\{\begin{matrix}52\: \:if \: \:n=1 & \\f(n+1)+12& if\: n\geq 2 \end{matrix}\right.$

Part B

$(2,4,8,16,32)\: \:$

Geometric Sequence, since 2*2=4 8*2=16 and 16*2=32 and 8+2=10 8+16=24

Part C

$(\frac{1}{4},\frac{3}{4},\frac{5}{4},\frac{7}{4},\frac{9}{4})\\\$

Arithmetic Sequence, difference

$d=\frac{2}{4}$

<u>Explicit Formula:</u>

$g(n)=\frac{1}{4}+\frac{2}{4}(n-1)$

<u>Recursive Formula</u>

$g(n)=\left\{\begin{matrix}\frac{1}{4} &if\:n=1 \\ g(n+1)+\frac{2}{4} &if\: n\geq 2\end{matrix}\right.$

Part D

(1.1,1.5,1.9,2.3,2.7) Arithmetic Sequence, difference d=0.4

<u>Explicit formula</u>

$h(n)=1.1+0.4(n-1)\\$

<u>Recursive Formula</u>

$h(n)=\left\{\begin{matrix}1.1 &if\:n=1 \\ h(n+1)+0.4 &if\: n\geq 2\end{matrix}\right.$

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3 years ago

ASAP WILL AWARD BRAINLIEST.<br><br> Please find the area of all the shapes.

Mandarinka [93]

Answer:

This a trapezium shape.

8+13/2×4=42 in2

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3 years ago

Carly bought a new house for $125,000. The value of the house appreciates approximately 3.5% each year. What will be the value o

Hatshy [7]

So using a calculator this question is really easy 125,000x 1.35 ^10 =.
<span>2513319</span>

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3 years ago