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2 years ago

5

If ΔCDE ~ ΔFGE, find the value of x.

1 answer:

lidiya [134]2 years ago

7 0

9514 1404 393

Answer:

x = 43.2

Step-by-step explanation:

Corresponding sides are proportional.

FE/CE = GE/DE

x/27 = 40/25

x = 27(40/25) . . . . multiply by 27

x = 43.2

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3 years ago

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What percent of the bill will you pay if you pay your bill plus a 9.5% tax?

Gelneren [198K]

Answer:

109.5% of the bill

Step-by-step explanation:

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3 years ago

What is the area of the trapezoid?<br><br> B1=12<br> B2=6<br> H=4

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The formula for the area of a trapezoid is 1/2 (b1 + b2) h
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3 years ago

lunch period a 26 out of 52 ate turkey sandwiches. lunch period b 21 out of 49 ate turkey sandwiches. which period had a greater

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2 years ago

Tonya and Leo each bought a cell phone at the same time. The trade-in values, in dollars, of the cell phones are modeled by the

Paha777 [63]

Answer:

The answer is Tonya's phone had the greater initial trade-in value.

Leo's phone decreases at an average rate slower than the trade in value of Tonya's phone.

Step-by-step explanation:

Given

Tonya

$f(x) = 490 * 0.88^x$

Leo

$x \to g(x)$

$0 \to 480$

$2 \to 360$

$4 \to 470$

Solving (a): The phone with greater initial value

The initial value is when x = 0. So, we have:

$f(x) = 490 * 0.88^x$

$f(0) = 490 * 0.88^0$

$f(0) = 490 * 1$

$f(0) = 490$

From Leo's table

$g(0) = 480$

By comparison;

$f(0) > g(0)$

i.e.

$490 > 480$

<em>So: Tonya's had the greater initial trade-in value</em>

Solving (b): The phone with lesser rate

An exponential function is:

$y = ab^x$

Where:

$b \to rate$

For Tonya

$b = 0.88$

For Leo, we have:

$(x_1,y_1) = (0,480)$

$(x_2,y_2) = (2,360)$

So, the equation becomes:

$y = ab^x$

$480 = ab^0$ and $360 = ab^2$

Solving $480 = ab^0$ , we have:

$480 = a * 1$

$480 = a$

$a= 480$

$360 = ab^2$ becomes

$360 = 480 * b^2$

Divide both sides by 480

$0.75 = b^2$

Take square roots

$0.87 = b$

$b=0.87$ -- Leo's rate

By comparison; Leo's rate is slower i.e. 0.87 < 0.88

6 0

2 years ago