Answer:
x = 20°
Step-by-step explanation:
Since BD = CD then Δ BCD is isosceles and its base angles are congruent, so
∠ CBD = ∠ BCD = 80° , then
∠ BDC = 180° - (80 + 80)° = 180° - 160° = 20°
∠ ADC = 180° - (80 + 60)° ← sum of angles in triangle
∠ ADC = 180° - 140° = 40° , then
∠ BDC + x = 40°
20° + x = 40° ( subtract 20° from both sides )
x = 20°
Answer:
Step-by-step explanation:
(x - h) {}^{2} + (y - k) {}^{2} = {r}^{2}(x−h)
2
+(y−k)
2
=r
2
here
r = 7. (the circle is symmetrical with y - axis )
h = 0. and k = 1
Thus equation of circle is,
(x - 0) {}^{2} + (y - ( - 1)) {}^{2} = {7}^{2}(x−0)
2
+(y−(−1))
2
=7
2
x^2 + (y+1)^2 = 49
First you need to use the compound interest formula to work out the amount of money he had after those two years. To do this you have to make a multiplier for the 14% and you have to put the number of years to the power of the multiplier and of course you need to times the original amount by the multiplier:
(100+14)/100 = 1.14 (making the multiplier)
1250*(1.14)^2 = 1624.5
Then you divide the 1624.5 by 24 to get the equal payments:
1624.5/24 = $67.6875 (rounded to $67.69)
Richard made payments of $67.69 24 times to pay off the loan he had taken out.
Hope this helps! :)
Answer:
An equation is
.
Step-by-step explanation:
☆Since since we're given the slope, all we need to do is find the y-intercept.
☆The slope-intercept formula is: y = mx + b.
☆We are going to plug in according to the formula.
☆We have everything we need, so now we put it together.
Answer:
448 cubes
Step-by-step explanation:
Volume of cubes fitted in the box will be equal to the cumulative volume of the cubes.
Since, volume of a cube = (Side)³
Side of the cube = 
inch
Therefore, volume of the cube = 
inches
Volume of the storage box = 56 cubic inches
Since, number of cubes fitted in the storage box = 
= 
= 56 × 8
= 448 cubes
Therefore, number of cubes fitted in the storage box = 448
