Hi! I would really appreciate it if you can help me with this problem.
1 answer:
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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
Answer:
equation of the line is y=x+1
Step-by-step explanation:
the equation of a line has the form y = mx + b
while m is for the slope and b is for the y-intercept.
you can see from the graph that the line intercepts the y-axis at y=1 this is the b.
you can get the slope of the graph by taking two points from the graph lets say (1, 2) and (3, 4) then using this formula:
<h2>in our case it will be:
then just substitute the values for m and b.