∠a is 35° because of vertical angle congruence. ∠b is 55° because one angle is right, so the other two have to add up to 90°, and 90°-35°=55°. ∠c is 110° because it creates a straight angle (180°) with the 70° angle, and 180°-70°=110°.
Answer:
68-x
Step-by-step explanation:
71-x-3=71-3-x=68-x
Answer:
(8, 15 and 17)
Step-by-step explanation:
9514 1404 393
Answer:
C. 12cm
Step-by-step explanation:
The equation for the perimeter of the rectangle is ...
P = 2(L+W)
34 = 2(n +m)
Solving for m, we get
m = 17 -n . . . . . . . divide by 2, subtract n
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The Pythagorean theorem gives the relationship between the sides and the hypotenuse
m^2 +n^2 = (n+1)^2
(17 -n)^2 +n^2 = (n +1)^2 . . . . . . substitute for m
289 -34n +n^2 +n^2 = n^2 +2n +1 . . . . eliminate parentheses
n^2 -36n +288 = 0 . . . . . . . put in standard form
(n -12)(n -24) = 0 . . . . . . . . . factor
n = 12 . . . . . . . . . . n=24 is an extraneous solution here
The value of n is 12 cm.
Answer:
relating to or expressed as a number or numbers.
Step-by-step explanation:
