Use the Pythagorean Theorem to determine the missing hypotenuse of a right triangle given the side lengths a= 7 in. and b = 9 in
. Round your answer to the nearest hundredth if necessary
2 answers:
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The factored form of 10xy - 15y is 5y(2x - 3)
<em><u>Solution:</u></em>
Given that, we have to write the given expression in factored form
<em><u>Given expression is:</u></em>
10xy - 15y
To find the factored form, let us first find the greatest common factor of 10 and 15
The factors of 10 are: 1, 2, 5, 10
The factors of 15 are: 1, 3, 5, 15
Then the greatest common factor is 5
Thus, factor out 5 from given expression
Now factor out the common term "y"
Thus the factored form is found
Answer:
CE = 17
Step-by-step explanation:
∵ m∠D = 90
∵ DK ⊥ CE
∴ m∠KDE = m∠KCD⇒Complement angles to angle CDK
In the two Δ KDE and KCD:
∵ m∠KDE = m∠KCD
∵ m∠DKE = m∠CKD
∵ DK is a common side
∴ Δ KDE is similar to ΔKCD
∴
∵ DE : CD = 5 : 3
∴
∴ KD = 5/3 KC
∵ KE = KC + 8
∵
∴
∴
∴
∴
∴ KC = (8 × 9) ÷ 16 = 4.5
∴ KE = 8 + 4.5 = 12.5
∴ CE = 12.5 + 4.5 = 17