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2 years ago

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

Mathematics

1 answer:

ladessa [460]2 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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3 years ago

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2 years ago

Ap calc multiple choice question; attached below please explain how, please!

anygoal [31]

Answer:

C. $\frac{f(b)-f(1)}{b-1}=20$

General Formulas and Concepts:

Calculus

Mean Value Theorem (MVT) - If f is continuous on interval [a, b], then there is a c∈[a, b] such that $f'(c)=\frac{f(b)-f(a)}{b-a}$

MVT is also Average Value

Step-by-step explanation:

Step 1: Define

$f(x)=e^{2x}$

f'(c) = 20

Interval [1, b]

Step 2: Check/Identify

Function [1, b] is continuous.

Derivative [1, b] is continuous.

∴ There exists a c∈[1, b] such that $f'(c)=\frac{f(b)-f(a)}{b-a}$

Step 3: Mean Value Theorem

Substitute: $20=\frac{ f(b)-f(1)}{b-1}$
Rewrite: $\frac{ f(b)-f(1)}{b-1}=20$

And we have our final answer!

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2 years ago