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2 years ago

AABC and ADEF are similar. Find the missing side length.

Mathematics

1 answer:

Semmy [17]2 years ago

5 0

Answer:

Step-by-step explanation:

The triangle are similar which means the ratio between sides is the same.

In this case the sides on triangle DEF are 5 times the length of the sides on triangle ABC. So the ? is 20/5.

20/5 = 4

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Tao Bergolts bank granted him a single-payment loan of $4,400 at an interest rate of 12 percent. The term of the loan is 172 day

jolli1 [7]

Answer: $ 14736 (approx)

Step-by-step explanation:

Since, Maturity value is the amount payable to an investor at the end of a holding period of debt instrument.

And, It is defined as, $V= P(1+r)^n$

Where, P is the principal amount,

r is the interest rate

And, n is the time period.

Here, P= $4,400 r= 12 % and n = 172/365

Thus, Maturity value for this loan,

$V = 4400(1+12)^{172/365}$

⇒V= 4400 × 3.34908932078 = 14735.9930114 ≈ 14736

6 0

3 years ago

Please someone answer this please

gladu [14]

Option C:

$\frac{3 a^{2} b^{11}}{2 }$ is equivalent to the given expression.

Solution:

Given expression:

$$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}$

To find which expression is equivalent to the given expression.

$$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}$

Using exponent rule: $\frac{1}{a^m}=a^{-m}, \ \ \frac{1}{a^{-m}}=a^{m}$

$$=\frac{-18 a^{-2} b^{5}a^{4} b^{6}}{-12 }$

$$=\frac{-18 a^{-2} a^{4} b^{5} b^{6}}{-12 }$

Using exponent rule: ${a^m}\cdot{a^n}=a^{m+n}$

$$=\frac{-18 a^{(-2+4)} b^{(5+6)}}{-12 }$

$$=\frac{-18 a^{2} b^{11}}{-12 }$

Divide both numerator and denominator by the common factor –6.

$$=\frac{3 a^{2} b^{11}}{2 }$

$$\frac{-18 a^{-2} b^{5}}{-12 a^{-4} b^{-6}}=\frac{3 a^{2} b^{11}}{2 }$

Therefore, $\frac{3 a^{2} b^{11}}{2 }$ is equivalent to the given expression.

Hence Option C is the correct answer.

8 0

3 years ago

Ms.Henderson is using triangles in her graphic design project.The triangles are isosceles.One had a base of 4 inches and legs of

tester [92]

If the two triangles are similar you can use a proportion to solve for the length of the legs.
$\frac{2}{4}$ = $\frac{x}{9}$
Now, you would cross multiply to get
4x=18
Now, you simplify that using the division property of equality.
You end up with
x=4.5
Therefore, the legs of the triangle with a base of 9 inches will each be 4.5 units long.

4 0

3 years ago

-x+4y when x=-4/5 and y=1/3

kobusy [5.1K]

The answer is 2.1333 repeating

4 0

3 years ago

Review the function equation below.

Anton [14]

Y = mx + b
b is y intercept
Solution: y intercept is 3

7 0

3 years ago