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2 years ago

Find the measure of each angle indicated. A) 21° C) 23 E) 25° B) 80° D) 20°

Mathematics

2 answers:

kvv77 [185]2 years ago

7 0

Answer:

I would say D, 20°

Step-by-step explanation:

angles on a straight line should be equal to 180°. so 180 -100 = 80° inside.

angles inside a triangle should also be 180. So, 80° + 80° =160°. to get the other angle subtract 160 from 180 to get 20°

Delvig [45]2 years ago

5 0

Answer:

D) 20⁰

Step-by-step explanation:

EDF = 180-100=80⁰

EFD= 80⁰+80⁰=160⁰

180⁰-160⁰=20⁰

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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

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

Explicit Formula

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

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

Recursive Formula

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

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

Explicit Formula:

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

Recursive Formula

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

Part D

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

Explicit formula

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

Recursive Formula

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

6 0

3 years ago

Find the measure of the indicated side

DIA [1.3K]

ANSWER:

10 units

EXPLAINATION:

The measure of the indicated side would be 10 units because the triangle shown here is a equilateral triangle this can be seen by the picture in which all the angles of the triangle are equal.

8 0

2 years ago

H(x) = -2x+5 g(x) = 2x² + x Find (h+g)(1)

Westkost [7]

Are you evaluating functions for this? If so, here you go:

Given the functions to simplify (h + g)(1), the answer you seek would be 6 I believe.

Hope this helps!

4 0

2 years ago

How do you solve |3x|=18

Oduvanchick [21]

We can get two different equations from this:

3x = 18

and

3x = -18

So:

x = 6, x = -6

x = {6, -6}

6 0

3 years ago

Read 2 more answers

Probability is a measure of how likely an event is to occur. Match the probabilities below with each statement. 0, 0.01, 0.3, 0.

Andrews [41]

Answer: a) 0 and 0.01 b) 0.99 and 1 c) 0.3 d) 0.6

Step-by-step explanation:

Probability is the likelihood that an event will occur. Probability values always lies between 0 and 1 0<P<1

A sure event occurs when the probability is 1 or values pretty close to 1 while probability of an impossible event is 0 or values close to 0. Looking at the given probability values, we can conclude that!

a) 0 and 0.01 = The event is impossible, it would never occur.

b) 0.99 and 1 - The event is certain, it would always occur.

c) 0.3 - The event is highly unlikely, but it will occur once in a while.

d) 0.6 - The event will occur more often than not.

8 0

3 years ago

Read 2 more answers