Answer:
Annuity due is an annuity whose payment is due immediately at the beginning of each period. Annuity due can be contrasted with an ordinary annuity where payments are made at the end of each period. A common example of an annuity due payment is rent paid at the beginning of each month.
Step-by-step explanation:
Examples of annuities are regular deposits to a savings account, monthly home mortgage payments, monthly insurance payments and pension payments.
Answer:
132 cm²
Step-by-step explanation:
Consider the shape as a trapezoid with a rectangle added on top.
The area of the trapezoid is (7+19)/2 × 8 =104
The area of the rectangle is 7×4 = 28
Add the two areas: 104+28= 132
OR consider the shape as a tall rectangle with the two triangles added to the sides.
The area of the rectangle is 7(4+8) = 84
The area of the triangles is 8(19-7)/2= 48
[Each triangle is 24 cm²]
Add those areas
84+48=132
Same result: 132 cm²
The answer is an expression because you can not solve for x.
Answer:
m<F = 79 degrees
Step-by-step explanation:
As per the given information;
m<E = 22, the triangle EDF (the one that is given in the picture) is isosceles (meaning that the sides are congruent).
In an isosceles triangle, (a triangle where the sides are congruent) the base angles (the angles opposite to the two congruent sides) are also congruent. One should also know, that in an isosceles triangle, like in any triangle, the sum of the measures of the angles equals 180 degrees.
Using this we can say that
m<D = m<F
To keep it simple while solving the problem, let's say that they have a value of x degrees.
So,
m<E + m<D + m<F =180
Subsitute
22 + x + x = 180
Simplify and inverse operations
22 + x + x = 180
-22 -22
2x = 158
/2 /2
x = 79
So the measure of <D and <F is 79 degrees.
