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3 years ago

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In this figure, mBDA=_ and mBCA=_. (fill in the blanks with degrees)

1 answer:

pickupchik [31]3 years ago

5 0

MBOA=360-250=110, so mBDA= half of mBOA=55
mBCA=180-mBOA=180-110=70

mBDA=55 and mBCA=70

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Following one side of a rural road, the house numbers increase by eighteen. The house number of the first house on the road is 8

ad-work [718]

Answer:

<u>Recursive:</u>

$a_n=a_{(n-1)}+18\\ \\ a_1=82$

<u>Explicit:</u>

$a_n=64+18n$

Explanation:

<u>1. Sequence:</u>

$a_1=82\\ \\ a_2=82+18=100\\ \\ a_3=100+18=118\\ \\ a_4=118+18=136\\ \\ ...$

<u>2. Recursive formula</u>

The recursive formula permits to calculate the value of the nth term in the sequence using the (n-1)th term in the sequence.

$a_n=a_{(n-1)}+18\\ \\ a_1=82$

<u>3. Explicit formula</u>

The explicit formula permits to calculate any value of a term in the sequence:

$a_n=a_1+(n-1)d\\ \\ a_n=82+(n-1)18\\ \\ a_n=82+18n-18\\ \\ a_n=64+18n$

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2 years ago

What is the value of x?<br> sin 55' = COS 3<br> Fnter your answer in the box

vivado [14]

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6 0

3 years ago

2x+3>x+5. Solving inequalities

pochemuha

The answer is x>2 I believe.

6 0

2 years ago

A’B’C’ is a dilation image if ABC which is the correct description of the dilation

Sav [38]

Answer:

The dilation is an enlargement

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its corresponding sides is equal and this ratio is called the scale factor

In this problem Triangles A'B'C' and ABC are similar by AA Similarity Postulate

Let

z------> the scale factor

so

$z=\frac{A'C'}{AC}$

substitute the values

$z=\frac{2+8}{2}$

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3 0

3 years ago

Read 2 more answers

For the graphed exponential equation, calculate the average rate of change from x = −3 to x = 0.

iragen [17]

Answer:

$-\frac{7}{3}$

Step-by-step explanation:

To solve this, we are using the average rate of change formula:

$m=\frac{f(b)-f(a)}{b-a}$

where

$m$ is the average rate of change

$a$ is the first point

$b$ is the second point

$f(a)$ is the function evaluated at the first point

$f(b)$ is the function evaluated at the second point

We want to know the average rate of change of the function $f(x)=0.5^x-6$ form x = -3 to x = 0, so our first point is -3 and our second point is 0. In other words, $a=-3$ and $b=0$ .

Replacing values

$m=\frac{f(b)-f(a)}{b-a}$

$m=\frac{0.5^0-6-(0.5^{-3}-6)}{0-(-3)}$

$m=\frac{1-6-(8-6)}{3}$

$m=\frac{-5-(2)}{3}$

$m=\frac{-5-2}{3}$

$m=\frac{-7}{3}$

$m=-\frac{7}{3}$

We can conclude that the average rate of change of the exponential equation form x = -3 to x = 0 is $-\frac{7}{3}$

4 0

2 years ago