Answer:
The measures of the angles are 150° and 30°.
Step-by-step explanation:
Let x and y represent the measures of the angles, with x representing the larger angle.
x + y = 180 . . . . . . the two angles are supplementary
x = 90 + 2y . . . . . one is 90° more than twice the other
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Substituting the expression given by the second equation into the first, we have ...
(90 +2y) +y = 180
3y = 90 . . . . . . . . . . collect terms, subtract 90
y = 30 . . . . . . . . . . . divide by the coefficient of y
x = 180 -y = 150
The measures of the angles are 150° and 30°.
The answer for the question is 4
The pattern goes like this...
(1st letter from the beginning),(1st letter from the end),(2nd letter from the beginning),(2nd letter from the end), etc.
So the next letter in the pattern should be W.
Answer:
X=-27
Step-by-step explanation:
So -9x=150+93
Or -9x=243
So x=-27
Answer:
A. 26.10 cm
B. 118.95 cm
Step-by-step explanation:
ST = 41^2 - 40^2 = c^2 = hypotenuse
ST = 1681 - 1600 = c^2
ST = c^2 = sq rt 681 =26.0959767014 = 26.1cm
Nearest 100th = 26.10
Length = 26.10 cm to nearest 100th
Perimeter of RSU we find (M) of SU first then add that to the other 3 lengths on the exterior of the triangle.
SU = 10^2 + 26.1^2 = c^2 = hypotenuse
SU = 100 + 681.21 = c^2
SU = c^2 = sqrt 781.21 = 27.9501341678 = 27.95cm
P TOTAL RSU = SU + TR + RS + TU
= 27.95 + 40+ 41 + 10 = 118.95cm
