Answer:
x = 32
Step-by-step explanation:
∠BCA = ∠DBA (90 - ∠DBC)
∠A = ∠A
ΔABD similar to ΔACB
AC/AB = AB/AD
x / 8 = 8 / 2
x = 32
Ben drinks 3 1/2 liters of tea every 40 minutes.
This means that he would drink 1 3/4 of tea every 20 minutes (divide both sides by 2).
Now, let's multiply each side by 3.
1.75 * 3 = 5.25 (aka 5 1/4)
20 * 3 = 60 minutes (an hour)
He drinks 5 1/4 liters of tea in one hour.
Answer:
Step-by-step explanation:
1/2 * ( 9 * 6 * 10)
1/2 * 540
270 
Answer:
N/A
Step-by-step explanation:
What is line AC, was there supposed to be a picture?
The equivalent expression of (1.4³/1.2⁴)⁻⁶ is gotten as; 1.2²/1.4³
<h3>How to use rule of exponents?</h3>
We are given the expression as;
(1.4³/1.2⁴)⁻⁶
Now, according to rule of exponents in multiplication, we know that;
x² × x³ = x² ⁺ ³ = x⁵
Thus, applying that rule of exponents above to our given problem and we have;
(1.4³/1.2⁴)⁻⁶ = (1.4³ ⁻ ⁶)/(1.2⁴ ⁻ ⁶)
⇒ 1.4⁻³/1.2⁻²
Also according to rule of exponents we know that;
x⁻¹ = 1/x
x⁻² = 1/x²
Thus;
1.4⁻³/1.2⁻² = (1/1.4³)/(1/1.2²)
⇒ 1.2²/1.4³
Thus, we can conclude about the question that the equivalent expression of (1.4³/1.2⁴)⁻⁶ is gotten as; 1.2²/1.4³
Read more about Rule of Exponents at; brainly.com/question/11761858
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