Answer:
AC = 8 cm,
AD = 3 cm and ∠ACB = ∠CDA
From figure,
∠CDA = 90°
∴ ∠ACB = ∠CDA = 90°
In right angled ∆ADC,
AC2 = AD2 + CD2
⇒ (8)2 = (3)2 + (CD)2
CD2 = 64 – 9 = 55
⇒ CD = √55 cm
In ∆CDB and ADC.
∠BDC = ∠AD [each 90°]
∠DBC = ∠DCA [each equal to 90°-∠A]
∴ ∠CDB ∼ ∆ADC
Then,
Answer:
$72.21
Step-by-step explanation:
25% of 54.50 + 7.5% of 54.50 + the original price 54.50
The solution to the equation is x = 4
<h3>What are linear equations?</h3>
Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient
<h3>How to determine the solution to the system?</h3>
A system of linear equations is a collection of at least two linear equations.
In this case, the equation is given as
(x + 20)/2 = 3x
Multiply both sides of the equation by 2
x + 20 = 6x
Subtract x from both sides of the equation
5x = 20
Divide both sides of the equation by 5
x = 4
hence, the solution to the equation is x = 4
Read more about equations at:
brainly.com/question/2972832
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Answer:
3.61 miles
Step-by-step explanation:
Given that:
Length of track = 5/6 of a mile
Number times Mary was able to run around the track = 4 1/3 times
Total miles ran by Mary :
(Equivalent mile of the track * number of times Mary ran around the track)
5/6 of a mile * 4 1/3 times
5/6 * 13/3
= 65 / 18
= 3.611111 miles
Hence, total Number of miles ran by Mary is 3.61 miles
Answer:the first one opn and qps
Step-by-step explanation:
