Answer:
D 16
Step-by-step explanation:
These angles are same side angles interior angles. Same side interior angles for parallel lines add to 180 degrees.
x+55 + x+93 = 180
Combine like terms
2x +148 = 180
Subtract 148 from each side
2x+148-148 = 180-148
2x=32
Divide each side by 2
2x/2 =32/2
x = 16
Answer:
0.60
Step-by-step explanation:
In the category of pets
22 students had a cat = P(C)
17 students had a dog = P(D)
9 students had both a dog and a cat = P(C and D)
The formula to find the Probability of two events =
P(C or D) = P(C) + P(D) - P(C and D)
P(cat or dog) = P(cat) + P( dog) - P(cat and dog)
P(cat or dog) = 22/50 + 17/50 - 9/50
P(cat or dog) = 0.44 + 0.34 - 0.18
P(cat or dog) = 0.60
The probability the student will have a dog or a cat is 0.60
Answer:
D) log₁₀20x⁵-1 and E) log₁₀(2x⁵)
Step-by-step explanation:
5log₁₀x+log₁₀20-log₁₀10
5log₁₀x+log₁₀20-1
log₁₀x⁵+log₁₀20-1
log₁₀20x⁵-1 (Option D)
5log₁₀x+log₁₀20-log₁₀10
log₁₀20x⁵-log₁₀10
log₁₀(20x⁵/10)
log₁₀(2x⁵) (Option E)
The interior angel to ∠7 is the angel ∠4
because ∠7 + ∠4 = 180°
The correct choice is number 1
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12x4=48 seashells Laura has in her collection