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3 years ago

The triangle below is isosceles. If ∠C≅∠B, then what is BC, in units?

Mathematics

1 answer:

ladessa [460]3 years ago

5 0

Answer:

Step-by-step explanation:

If angles C and B have equal degrees then the side AC is also equal to side AB in length and you can make their equations equal as well and solve for X.

2x+16=7x+6

get X's all on same side and the constants all on the other side,

-2x +2x+16=7x+6+-2x

The X's on the left cancel out.

16=5x+6

-6+16=5x+6+-6

add -6 to each side. On the right the 6 is now cancelled out.

10=5X

divide each side by 5 to cancel out the 5

10/5= 5X/5

2=X . ANSWER

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Marcelis takes a taxi to the airport. The taxi charges $2 per mile and an initial fee of

Marizza181 [45]

Answer:

13 miles

Step-by-step explanation:

27.50- 1.50(fee)=26.00 26/2(2$per mile)=13 miles

4 0

3 years ago

How do you solve 2/5 (c+8.5) =18

Orlov [11]

Solve for c by simplifying both sides of the equation, then isolating the variable.

C=36.5

4 0

3 years ago

Help me with these questions

Elena L [17]

Answer: a = 4, b = 163,422

Step-by-step explanation:

$P = P_{0} e^{kt}$ P is the new population, P₀ is the initial population, k is the growth rate, t is the time elapsed.

Part a) What do we know?

P = 7003

P₀ = unknown

k = .21 (converted 21% into a decimal)

t = 36 yrs (2006 - 1970)

$P = P_{0} e^{kt}$ need to solve for P₀

$7003 = P_{0} e^{(.21)(36)}$

$7003 = P_{0} e^{7.56}$

7003 = P₀ (1920)

$\frac{7003}{1920} = P_{0}$

3.6 = P₀

rounded to the nearest whole number = 4

Part b) What do we know?

P = unknown

P₀ = 7003

k = .21 (converted 21% into a decimal)

t = 15 yrs (2021 - 2006)

$P = P_{0} e^{kt}$ need to solve for P₀

$P = 7003 e^{(.21)(15)}$

$P = 7003 e^{3.15}$

P = 7003(23.33)

P = 163,422.46

rounded to the nearest whole number = 163,422

*************************************************************

Answer: 2, -1

Step-by-step explanation:

eˣ² = eˣ * e²

eˣ² = eˣ⁺²

x² = x + 2

x² - x - 2 = 0

(x - 2)(x + 1) = 0

x - 2 = 0 or x + 1 = 0

x = 2 or x = -1

Check both answer for validity:

eˣ² = eˣ⁺²

e⁴ = e⁴ or e¹ = e¹

TRUE TRUE

*****************************************

Answer: 0 = ln 1

Step-by-step explanation:

$e^{-10} = \frac{1}{e^{10}}$

$ln(e^{-10}) = ln(\frac{1}{e^{10}})$

-10 = ln 1 - 10 log rules say division is subtraction

0 = ln 1

5 0

3 years ago

Which input value produces the same output value for the two functions on the graph?

xeze [42]

X = 4 will give you the same output no matter what graph you are using.

8 0

4 years ago

Read 2 more answers

How do you solve the equation -7/8k=21

loris [4]

$- \frac{7}{8} k$ = 21

First, simplify $\frac{7}{8} k$ to $\frac{7k}{8}$ / Your problem should look like: $-\frac{7k}{8}$ = 21
Second, multiply both sides by 8. / Your problem should look like: -7k = 167
Third, divide both sides by -7. / Your problem should look like: k = $\frac{168}{-7}$
Fourth, simplify $\frac{168}{-7}$ to $\frac{168}{7}$ / Your problem should look like: k = $- \frac{168}{7}$
Fifth, simplify $\frac{168}{7}$ to 24. / Your problem should look like: k = -24

Answer: k = -24

4 0

3 years ago