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3 years ago

Name the corresponding sides and the corresponding angles

Mathematics

2 answers:

Natali5045456 [20]3 years ago

4 0

Follow the order of the vertices in the statement of congruence.
Vertex A corresponds to vertex C.
Vertex B corresponds to vertex D.
Vertex C corresponds to vertex E.

Corresponding sides:
AB, CD
BC, DE
AC, CE

Corresponding angles:
<A, <DCE
<B, <D
<BCA, <E

Artemon [7]3 years ago

3 0

Side are AB, CD and BC, DE and AC , CE.

Angles are ABC , CDE and BAC, DCE and BCA, DEC

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Write the following quotient in the form a+bi.<br> -7i/2-7i

Helga [31]

Answer:

$\large\boxed{\dfrac{49}{53}-\dfrac{14}{53}i}$

Step-by-step explanation:

$\text{Use}\\\\i=\sqrt{-1}\to i^2=-1\\\\(a-b)(a+b)=a^2-b^2\to(a-bi)(a+bi)=a^2+b^2\\\\\text{distributive property}\ a(b+c)=ab+ac\\---------------------\\\\\dfrac{-7i}{2-7i}=\dfrac{-7i}{2-7i}\cdot\dfrac{2+7i}{2+7i}=\dfrac{-7i(2+7i)}{2^2+7^2}=\dfrac{(-7i)(2)+(-7i)(7i)}{4+49}\\\\=\dfrac{-14i-49i^2}{53}=\dfrac{-14i-49(-1)}{53}=\dfrac{-14i+49}{53}\\\\=\dfrac{49}{53}-\dfrac{14}{53}i$

8 0

3 years ago

Read 2 more answers

If<br> 3x+y = 7, what is the value of x/y?<br> SOMEONE HELP I NEED IT QUICK!! plsss

andrey2020 [161]

Answer:

x=2 y=1

Step-by-step explanation:

3 times 2 =6

plus 1 = 7

8 0

2 years ago

BASKETBALL After Game 1, Felicia had scored 14 points. After Game 5, she had scored a total of 82 points for the season. After G

Stella [2.4K]

Let $p$ represents the number of points scored in $n$ number of games.

So, the graph, the number of games, n is on the horizontal axis and the points scored, p, is on the vertical axis.

After Game 1, the point scored is 14,

so, the first point, $P_1$ , on the graph is

$P_1=(1,14)$

After Game 5, the point scored is 82,

so, the second point, $P_2$ , on the graph is

$P_2=(5,82).$

After Game 10, the point scored is 129,

so, the second point, $P_2$ , on the graph is

$P_2=(10,129)$

First, represent all the three points, $P_1, P_2$ and $P_3$ , on the graph, then connect $P_1- P_2$ and $P_2 - P_3$ as shown in the figure.

4 0

3 years ago

Can someone please help me asap!!! I’ll mark brainlist !!

Leni [432]

Answer: 2.4

Step-by-step explanation:

4/5 x 3 = 2 and 3/5

2 and 3/5 converted into decimal is 2.4

You're welcome!

4 0

3 years ago

The equation y=123.1(1.065)* models the number of college students (in thousands) who studied abroad each year from 1998 through

xenn [34]

The estimate of the number of students studying abroad in 2003 is 169 and the estimate of the number of students studying abroad in 2018 is 433

<h3>a. Estimate the number of students studying abroad in 2003.</h3>

The function is given as:

y = 123(1.065)^x

Where x represents years from 1998 to 2013

2003 is 5 years from 1998.

This means that

x = 5

Substitute the known values in the above equation

y = 123(1.065)^5

Evaluate the exponent

y = 123 * 1.37008666342

Evaluate the product

y = 168.520659601

Approximate

y = 169

Hence, the estimate of the number of students studying abroad in 2003 is 169

<h3>b. Assuming this equation continues to be valid in the future, use this equation to predict the number of students studying abroad in 2018.</h3>

2018 is 20 years from 1998.

This means that

x = 20

Substitute the known values in the above equation

y = 123(1.065)^20

Evaluate the exponent

y = 123 * 3.52364506352

Evaluate the product

y = 433.408342813

Approximate

y = 433

Hence, the estimate of the number of students studying abroad in 2018 is 433

Read more about exponential functions at:

brainly.com/question/11464095

#SPJ1

4 0

1 year ago