Answer:
y =8
Step-by-step explanation:
1/2y+2/5=4 2/5
Subtract 2/5 from each side
1/2y+2/5-2/5=4 2/5-2/5
1/2 y = 4
Multiply each side by 2
1/2y *2 = 4*2
y = 8
Answer:
M∠DEC equals 123º.
Step-by-step explanation:
The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.
180 - {(x - 45)+(x - 12)} = m∠DEC
m∠DEC + x = 180
<u>(x - 45) + (x - 12) = x</u>
Solving for x:
(x - 45) + (x - 12) = x
x - 45 + x - 12 = x Remove parenthesis
2x - 57 = x Combine like terms
2x = x + 57 Add 57 to both sides
<u>x = 57</u><u> Subtract x from both sides</u>
Finding m∠D:
x - 45 = ?
<u>57 - 45 = </u><u>12º </u>
Finding m∠C:
x - 12 = ?
<u>57 - 12 = </u><u>45º </u>
<em>** </em><em>(Checking x: 12 + 45 = 57) </em><em>**</em>
<em>Finding </em>m∠DEC:
AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:
180 - 57 = 123º
Hope this helps,
❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤
Answer:
The common ratio r = 2.
Step-by-step explanation:
Now s2 = a1r and s4 = a1r^3 where a1 = first term and r = common ratio so
s4 / s2 = a1r^3 / a1r = r^2 = 32/8
r^2 = 4
r = 2.
Therefore, the answer is <u>1</u><u>0</u><u>2</u><u>4</u><u>.</u>
<h3>
<em>Benjemin</em></h3>
I believe the answer is A "If a triangle is equilateral, then it has three congruent angles". Hope this helps!
