It the answer would be 51.41
Answer:
Step-by-step explanation:
<u>Given system:</u>
In order to solve it graphically, graph both lines and find the point of their intersection.
Graphing easy if you plot the x- and y- intercepts and connect them with a line.
<em>See attached.</em>
Both lines have same x-intercept, which is also the solution: (2, 0)
The difference in area between the top surfaces of the two cakes is 28.26 inches²
<h3>Area of a circle</h3>
where
r = radius
Therefore,
area of top layer = πr²
d = 2r
r = d / 2
r = 8 / 2
r = 4 inches
area of top layer = 3.14 × 4²
area of top layer = 3.14 × 16
area of top layer = 50.24 inches²
area of the bottom layer = πr²
r = 10 / 2 = 5 inches
area of the bottom layer = 3.14 × 5²
area of the bottom layer = 3.14 ×25
area of the bottom layer = 78.5 inches²
Difference in area between the top surfaces of the two cakes can be found as follows:
- 78.5 - 50.24 = 28.26 inches²
learn more on circle here: brainly.com/question/10264279
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
