The perimeter of parallelogram PQSR is 74cm. What is QS?
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
We know is a horizontal line, so, if it passes through 1,-5, it also passes through "whatever", -5, like 20, -5 or 1000000, -5, or -100000000, -5 and so on.
so, let's pick another point say -7, -5, check the picture below, and let's check about the equation that runs through it,
so, let's pick another point say -7, -5, check the picture below, and let's check about the equation that runs through it,
Answer:
x=8 and y=53
Step-by-step explanation:
Given function:
- y=5x+13
- y=x+45
Find x:
- the two equation, the x and are breaked apart..
- so find a number that they can both equal to together and has the same y.
- multiply by 8..
·
- combine the terms for x and 13
- since x is 8 then if we add 8 with 45 it should be 53...
y is:
- this means that y=53.
Therefore, x=8 and y=53..