∠ ABD = 5(2X+1)
∠ DBC = 3X+6
∠ EBC = Y +135/2
∠ ABD and ∠ DBC are linear pairs
∴ ∠ ABD +∠ DBC = 180
∴ 5(2X+1) + 3X+6 =180
solve for x
∴ x = 13
∴∠ ABD = 5(2X+1) = 5(2*13+1) = 135
∠ DBC = 3x+6 = 3*13+6 = 45
∠ ABD and ∠ EBC are vertical angles
∴ ∠ ABD = ∠ EBC = 135
∴ y +135/2 = 135
∴ y = 135/2
The <span>statements that are true:
--------------------------------------</span><span>
C.) x=13
E.)measure of angle EBC =135
F.) angle DBC and angle EBC are linear pairs
</span>
Step 1
Given;
Required; To find the difference in interest between the two periods.
Step 2
State the formula for simple interest
Step 3
Find the interest when the rate is 8%
Therefore the interest is given as;
Step 4
Find the interest in 1980 with a 20% rate
The interest is given as;
Step 5
Find the difference in interest between the two rates.
Hence, the difference in interest between the two rates = $11095.89
Answer:
Step-by-step explanation:
Answer:
Jane: 37 years old
Anne: 17
Step-by-step explanation:
Jane 12 years ago: 5x
Anne 12 years ago: x
In three years into the future:
Jane: 5x+15
Anne: x+15
CURRENT TIME:
Jane: 5x+12
Anne: x+12
Equation (using 3 years into the future ages): 5x+15=2(x+15)
5x+15=2x+30
(subtract 15 from both sides)
5x=2x+15
3x=15
x=5
Therefore, Jane is 37 years old and Anne is 17 years old.
The answer is variant A.
Because:
if the two angles of a triangle are congruent to two angles of the other triangle , this triangles are similar
