Answer:
Step-by-step explanation:
Answer:
B. C. and E.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Converting percent to decimal : 2.2/100 = 0.022
Finding 2.2$ of $75k : 75,000 x 0.022 = $1,650 (also the increase in one year)
Finding how much it was worth after 11 years :
(75,000 x 0.022) x 11 = $18,150 or 1,650 x 11 = $18,150
Now add the product to the regular amount to find out the answer:
75,000 + 18,150 = $93,150 (which is how much it increased after 11 years)
There are 12 inches in a foot, so 9ft = 108in. Also, 80% = 0.8. Therefore the formula is:
h(n) = 108 * 0.8^n.
To find the bounce height after 10 bounces, substitute n=10 into the equation:
h(n) = 108 * 0.8^10 = 11.60in (2.d.p.).
Finally to find how many bounces happen before the height is less than one inch, substitute h(n) = 1, then rearrage with logarithms to solve for the power, x:
108 * 0.8^x = 1;
0.8^x = 1/108;
Ln(0.8^x) = ln(1/108);
xln(0.8) = ln(1\108);
x = ln(1/108) / ln(0.8) = -4.682 / -0.223 = 21 bounces
The congruence theorems or postulates that proves the following set of triangles are congruent are:
a. SAS congruence postulate
b. SSS congruence postulate
c. SAS congruence postulate
d. SAS congruence postulate
<h3>Triangle Congruence Postulates or Theorems</h3>
- Two triangles having two pairs of congruent angles and a pair of included sides are congruent by the SAS congruence postulate.
- Two triangles having three pairs of congruent sides are congruent by the SSS congruence postulate.
- Two triangles having two pairs of congruent sides and a pair of included angles are congruent by the SAS congruence postulate.
- Two triangles having two pairs of congruent angles and a non-included side are congruent by the SAS congruence postulate.
Therefore, the congruence theorems or postulates that proves the following set of triangles are congruent are:
a. SAS congruence postulate
b. SSS congruence postulate
c. SAS congruence postulate
d. SAS congruence postulate
Learn more about Triangle Congruence Postulates or Theorems on:
brainly.com/question/3432837
