m∠FDE = 52°
Solution:
Given data:
DE ≅ DF, CD || BE, BC || FD and m∠ABF = 116°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠ABF + m∠CBF = 180°
116° + m∠CBF = 180°
m∠CBF = 64°
If CD || BE, then CD || BF.
Hence CD || BE and BE || FD.
Therefore BFCD is a parallelogam.
<em>In parallelogram, Adjacent angles form a linear pair.</em>
m∠CBF + m∠BFD = 180°
64° + m∠BFD = 180°
m∠BFD = 116°
<em>Sum of the adjacent angles in a straight line = 180°</em>
m∠BFD + m∠DFE = 180°
116° + m∠DFE = 180°
m∠DFE = 64°
we know that DE ≅ DF.
<em>In triangle, angles opposite to equal sides are equal.</em>
m∠DFE = m∠DEF
m∠DEF = 64°
<em>sum of all the angles of a triangle = 180°</em>
m∠DFE + m∠DEF + m∠FDE = 180°
64° + 64° + m∠FDE = 180°
m∠FDE = 52°
Answer: do the math, 39x
Step-by-step explanation:2+4=6 times 7=42-19=23+7=30+9=39x
Answer:
All real values, (-∞, ∞)
Step-by-step explanation:
<u>Step 1: Distribute</u>
5y + (86 - y) = 86 + 4y
5y + 86 - y = 86 + 4y
<u>Step 2: Combine like terms</u>
5y + 86 - y = 86 + 4y
4y + 86 = 86 + 4y
<u>Step 3: Subtract 4y from both sides</u>
4y + 86 - 4y = 86 + 4y - 4y
86 = 86
<u>Step 4: Subtract 86 from both sides</u>
0 = 0
Answer: All real values, (-∞, ∞)
Answer:
B
Step-by-step explanation:
<span>I think the easiest way to answer all of these is to just go ahead and find the equation of the line first.
I'm pretty sure that by the time you see this problem, you've learned how to find
the
equation of a line that passes through two given points. You have two
points: (2, 100) and (5, 205). The equation of the line through them
is
[ y = 35x + 30 ]. (That's the answer to #8.)
6). The initial membership fee ... the cost for walking in the door and signing up,
before any months, is $30. (Also the y-intercept.)
7). The cost per month is $35. (The slope of the line.)
8). We already did that, up above. [ y = 35x + 30 ].
9). 'x' in the equation is the number of months.
There are 12 months in one year.
y = 35(12) + 30 = $450</span>
