Answer:
x is 55 and the perimeter is 120
Step-by-step explanation:
55+55 is 110 and 5+5 is 10 so that all adds up to 120
Answer: choice B
Angle A = 63 degrees
side a = 13.4
side b = 6.8
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Given Info:
Angle C = 90 degrees
Angle B = 27 degrees
side c = 15
What is needed to be found:
Angle A, side a, side b
Finding side a
cos(angle) = adjacent/hypotenuse
cos(B) = BC/AB
cos(B) = a/15
cos(27) = a/15
15*cos(27) = a
13.3650978628256 = a
a = 13.3650978628256
a = 13.4
Finding side b
Using the pythagorean theorem
a^2 + b^2 = c^2
(13.3650978628256)^2 + b^2 = 15^2
178.625840882906 + b^2 = 225
178.625840882906 + b^2 - 178.625840882906 = 225 - 178.625840882906
b^2 = 46.374159117094
sqrt(b^2) = sqrt(46.374159117094)
b = 6.809857496093
b = 6.8
Finding angle A
sin(angle) = opposite/hypotenuse
sin(A) = BC/AB
sin(A) = a/c
sin(A) = 13.3650978628256/15
sin(A) = 0.89100652418838
arcsin(sin(A)) = arcsin(0.89100652418838)
A = 63.0000000000016
A = 63
C < 10 would be "The bag contained fewer than 10 carrots"
c > 10 would be "Catherine biked farther than 10 miles"
c < 20 would be "The chair is shorter than 20 in"
c > 20 would be "Carlos scored over 20 points"
Let me know if you have any questions, and I hope this helped!
575 / 14
Use easy multiples of 14 that do not exceed 575. Use 10.
(1) 14*10 = 140 575 -140 = 435
(2) 14*10 = 140 435 - 140 = 295
(3) 14*10 = 140 295 -140 = 155
(4) 14*10 = 140 155 - 140 = 15
Now you cannot use another 10*14. Then just divide 15 by 14 which gives 1 and have remainder 1
(5) 15/14 = 1
15 - 14 = 1 = Remainder
Then, the sum of the partial quotients is 10+10+10+10+1 = 41; and you have remainder 1, therefore 575 = 41*14 + 1
And the result of the division is 575/14 = 41 plus remainder 1
Is there any other information?
