r + 4(r - 3)
<em><u>We'll use the distributive property to simplify this.</u></em>
r^2 - 3r + 4r - 12
<u><em>Combine like terms</em></u>
r^2 + r - 12 is the simplified form.
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:
c
Step-by-step explanation:
im a math genius
Answer:75%
Step-by-step explanation:
48 over 64 & x over 100
100•48 =4800/64= 75
Answer:
The value of x is 
Step-by-step explanation:
we know that
Applying the tangent-secant theorem
substitute the values and solve for x
using a graphing tool
to solve the quadratic equation
The solution is 
see the attached figure
