Answer: m<KHL = 37 degrees.
m<GHK = 53 degrees
Step-by-step explanation:
<CHD and <KHL are vertical angles. They are equal in measure. m<CHD is 37 degrees, so m<KHL is also 37 degrees.
Notice <GHL is a 90 degree angle (because the lines that form it are perpendicular) and <GHL is made up of two angles: <GHK and <KHL.
m<GHK + m<KHL (37) = m< GHL (90 degrees)
Subtract 37 from both sides.
m<GHK = 53 degrees
Answer:
Either x = 3, y = 2
or
(3,2) is your answer.
Step-by-step explanation:
2x +y = 8 (1)
y = - x+ 5 (2)
Put equation (2) into equation (1). Use the y value in (2) to go into the y value in (1).
2x - x+5 = 8 Combine the x values
x + 5 = 8 Subtract 5 from both sides
x + 5-5 = 8-5
x=3
Now go back to (2). Put x in for the value of -x. Watch the sign.
y = -3+ 5
y = 2
So the answer is (3,2)
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
Step-by-step explanation:
4/5 + 2/3 = 2215 = 1 715 ≅ 1.4666667. Spelled result in words is twenty-two fifteenths (or one and seven fifteenths).
Answer:
The number of musicians in the school is 3 times the number of athletes
Step-by-step explanation:
