Three less than “x” is equal to 13
2 answers:
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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:
The length of the field on the drawing is 55 cm.
Step-by-step explanation:
Given:
Mark made a scale drawing of a soccer field.
Using a scale of .5 cm=1 m.
The actual length of the field is 110 m.
Now, to find the length of the field on drawing.
Let the length of the field on drawing be
As given 0.5 cm is equivalent to 1 m.
Thus, is equivalent to 110 m.
Now, to get the length of the field on drawing by using cross multiplication method:
<em>By cross multiplying we get:</em>
⇒
⇒
Therefore, the length of the field on the drawing is 55 cm.
Answer:
Correct graph
Incorrect graph
Slopes are not the same