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2 years ago

Which statements are necessary to prove the two triangles are congruent by SSS? (ASAP HELP PLS!!!)

Mathematics

1 answer:

Vera_Pavlovna [14]2 years ago

7 0

Answer:

Step-by-step explanation:

To prove that two triangles are congruent using the SSS Congruence criterion, we must establish that all three sides of one triangle are equal to all the corresponding sides of the other.

Thus,

Side AD in ∆ADB is congruent to side AD in ∆ADC.

Side BD in ∆ADB is congruent to side CD in ∆ADC.

Side AB in ∆ADB is congruent to side AC in ∆ADC.

Therefore, based on the SSS congruence criterion, it is concluded that both triangles are congruent.

The statements necessary to prove that they are congruent by SSS is:

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A phone company offers two monthly plans. Plan A costs $25 plus an additional $0.09 for each minute of calls. Plan B has no init

Lisa [10]

Using linear functions, it is found that the two plans cost the same for 5000 minutes of calling.

<h3>What is a linear function?</h3>

A linear function is modeled by:

$y = mx + b$

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

For Plan A, the cost is of $25 plus an additional $0.09 for each minute of calls, hence the y-intercept is $b = 25$ , the slope is of $a = 0.09$ , and the function is:

$A(x) = 0.09x + 25$

For Plan B, the cost is of $0.14 for each minute of calls, hence the y-intercept is $b = 0$ , the slope is of $a = 0.14$ , and the function is:

$B(x) = 0.14x$

The plans cost the same for x minutes of calling, considering that:

$B(x) = A(x)$

$0.14x = 0.09x + 25$

$0.05x = 250$

$x = \frac{250}{0.05}$

$x = 5000$

The two plans cost the same for 5000 minutes of calling.

To learn more about linear functions, you can take a look at brainly.com/question/24808124

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2 years ago

A publisher shipped 15 boxes of books to a bookstore each box contained 32 books how many books did the publisher ship to the bo

Alenkinab [10]

Answer:

Try This! 32 time 15 =480

Step-by-step explanation:

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2 years ago

Read 2 more answers

Anbody plesssse help me

algol13

11: B
12: C
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3 years ago

Read 2 more answers

the half-life of bismuth-210 is 5 days. if 25 grams of bismuth-210 are present initially, how much will remain after 10 days?

Jet001 [13]

10 days is twice the half-life. After 5 days, can expect $\dfrac{25}2$ grams to remain; after another 5 days, you'd be left with $\dfrac{25}4$ grams.

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2 years ago

Carlos buys a vintage automobile for $7300. He estimates that the value will increase by 3% every year. Estimate the value of th

lakkis [162]

Answer:

$9810.59

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Simple Interest Rate Formula: $\displaystyle A = P(1 + r)^t$

P is principle amount
r is rate
t is time (in years)

Step-by-step explanation:

Step 1: Define

Identify variables

P = 7300

r = 3% = 0.03

t = 10

Step 2: Solve for A

Substitute in variables [Simple Interest Rate Formula]: $\displaystyle A = 7300(1 + 0.03)^{10}$
(Parenthesis) Add: $\displaystyle A = 7300(1.03)^{10}$
Evaluate exponents: $\displaystyle A = 7300(1.34392)$
Multiply: $\displaystyle A = 9810.59$

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3 years ago