Answer:
1. m∠8 = 30° 2. m∠5 = 27° 3. m∠1=m∠8 4. m∠3=m∠7
m∠6 = 180-120
m∠6 = 60
if m∠1 is 120 and m∠6 is 60, it is true because m∠2 and m∠1 are linear pairs/supplementary, so when you set them = 180 and solve for m∠2, you'll get 60. and because corresponding angles are equal and angle 6 and 2 corresponds, m∠6 will be the same measure as m∠2
Step-by-step explanation:
- because corresponding angles are equal in measure.
- because alternate interior angles are equal in measure
- because they alternate
- because they correspond
- because co-interior angles are supplementary, subtract 120 from 180 to get m∠6.
The difference between a 401(k) and a Roth 401(k) is that 401(k) is the income taxes on distribution whereas the Roth 401(k) is the income taxes on contribution.
Answer:
See answers below:
Step-by-step explanation:
Using corresponding angles properties, angles opposed by the vertex, and supplementary angle properties, we get:
<1 = 75 degrees
<2 = 105 degrees
<3 = 44 degrees
<4 = 136 degrees
<5 = 44 degrees
<6 = 90 degrees
<7 = 46 degrees
<8 = 75 degrees
<9 = 105 degrees
<10 = 75 degrees
<11 = 59 degrees
<12 = 46 degrees
<13 = 75 degrees
<14 = 105 degrees
<15 = 44 degrees
<16 = 136 degrees
<17 = 44 degrees
<18 = 136 degrees
Answer:
61
Step-by-step explanation:
Because all triangles's angles sum is always equal to 180, we can establish the equation, (9x - 31) + (7x - 2) + (4x + 33) = 180.
Simplifying, we get;
9x - 31 + 7x - 2 + 4x + 33 = 180
20x = 180
x = 9.
So, angle DCE = 7x - 2 = 7 * 9 - 2 = 63 - 2 = 61
Answer:
The two linear equation
x + y = 19.... Equation 1
0.55x + 0.75y = 12.65... Equation 2
Nedra purchased
9 Apples and 11 Oranges
Step-by-step explanation:
Nedra purchased apples and oranges at the grocery store. which two linear equations can be used to find the number of apples and oranges?
Let the number of apples be represented by x
The number of oranges by represented by y.
Hence,
Apples are $0.55 each and oranges are $0.75 each. If she spent a total of $12.65 for 19 pieces of fruit,
Hence:
x + y = 19..... Equation 1
x = 19 - y
$0.55 × x + $0.75 × y = $12.65
0.55x + 0.75y = 12.65.....Equation 2
Hence: we substitute 19 - y for x in Equation 2
0.55(19 - y) + 0.75y = 12.65
10.45 - 0.55y + 0.75y = 12.65
-0.55y+ 0.75y = 12.65 - 10.45
0.20y = 2.2
y = 2.2/0.20
y = 11 oranges
x = 19 - y
x = 19 - 11
x = 8 Apples