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3 years ago

6

Are the following figures similar?

1 answer:

Mrac [35]3 years ago

6 0

Answer:

No; the corresponding angles are not congruent

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If i got an A on my exam and i have a C on my interim what will my grade be now?

zubka84 [21]

Answer:

B

filled up a slot even though i answered first in the comments lol

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3 years ago

The frequency table shows the scores from rolling a dice.

Tatiana [17]

The answer is 3 (or 3.08)

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4 years ago

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Х- а<br>x-b<br>If f(x) = b.x-a÷b-a + a.x-b÷a - b<br>Prove that: f (a) + f(b) = f (a + b)

GenaCL600 [577]

Given:

Consider the given function:

$f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot(x-b)}{a-b}$

To prove:

$f(a)+f(b)=f(a+b)$

Solution:

We have,

$f(x)=\dfrac{b\cdot(x-a)}{b-a}+\dfrac{a\cdot (x-b)}{a-b}$

Substituting $x=a$ , we get

$f(a)=\dfrac{b\cdot(a-a)}{b-a}+\dfrac{a\cdot (a-b)}{a-b}$

$f(a)=\dfrac{b\cdot 0}{b-a}+\dfrac{a}{1}$

$f(a)=0+a$

$f(a)=a$

Substituting $x=b$ , we get

$f(b)=\dfrac{b\cdot(b-a)}{b-a}+\dfrac{a\cdot (b-b)}{a-b}$

$f(b)=\dfrac{b}{1}+\dfrac{a\cdot 0}{a-b}$

$f(b)=b+0$

$f(b)=b$

Substituting $x=a+b$ , we get

$f(a+b)=\dfrac{b\cdot(a+b-a)}{b-a}+\dfrac{a\cdot (a+b-b)}{a-b}$

$f(a+b)=\dfrac{b\cdot (b)}{b-a}+\dfrac{a\cdot (a)}{-(b-a)}$

$f(a+b)=\dfrac{b^2}{b-a}-\dfrac{a^2}{b-a}$

$f(a+b)=\dfrac{b^2-a^2}{b-a}$

Using the algebraic formula, we get

$f(a+b)=\dfrac{(b-a)(b+a)}{b-a}$ $[\because b^2-a^2=(b-a)(b+a)]$

$f(a+b)=b+a$

$f(a+b)=a+b$ [Commutative property of addition]

Now,

$LHS=f(a)+f(b)$

$LHS=a+b$

$LHS=f(a+b)$

$LHS=RHS$

Hence proved.

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3 years ago

Which shows how the distributive property can be used to evaluate 7 times 8 and four-fifths?

ICE Princess25 [194]

Answer:

2 + 2 = fish

Step-by-step explanation:

8 0

3 years ago

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The circumference of a circle is 15π centimeters. What is the area of the circle in terms of π ?

AlekseyPX

Answer:

Option C or 56.25×πcm^2

Step-by-step explanation:

The formula to find the circumference of a circle is P=2×π×r.

The formula to find the area of a circle is A=π×r^2.

Step 1: Find the radius by expanding your circumference answer to get the entire formula. In this case 15π=2×π×7.5 Look familiar? You have found the radius!

Step 2: Put the radius in the formula to find the area. Since this answer is not looking for a specific number that's all you have to do. In this case, A=π×7.5^2. Or A=π×56.25.

Step 3: You have the answer. Hope this helps

7 0

3 years ago

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