Answer:
radius = 9 inches
Step-by-step explanation:

r = radius
Area = 254.4696 square inches
so we have:

so we have: r = 9 inches
Answer: First option.
Step-by-step explanation:
The complete exercise is attached.
In order to solve this exercise, it is necessary to remember the following property:
The Multiplication property of Equality states that:

In this case, the equation that Jada had is the folllowing:

Jada needed to solve for the variable "x" in order to find its value.
The correct procedure to solve for for "x" is to multiply both sides of the equation by 108. Then, you get:

As you can notice in the picture, Jada did not multiply both sides of the equation by 108, but multiplied the left side by
<em> </em>and the right side by
.
Therefore,you can conclude that Jada should have multiplied both sides of the equation by 108.
Answer:
We need a non-included side of one triangle
Step-by-step explanation:
By means of the AAS postulate.
The Angle-Angle-Side postulate (AAS) tells us that if two angles and a non-included side of one triangle are congruent to two angles and the corresponding non-included side of another triangle, then the two triangles are congruent.
Answer:
<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>
Step-by-step explanation:
Let's recall that the interior angles of a triangle add up to 180°, therefore we have:
Smallest angle = x
Largest angle = 7x
Third angle = 7x - 15
Now, we can solve for x, using the following equation:
x + 7x + 7x - 15 = 180
15x = 180 + 15
15x = 195
x = 195/15
x = 13 ⇒ 7x = 91 ⇒ 7x - 15 = 76
<u>The smallest angle measures 13°, the largest angle measures 91° and the third angle measures 76°</u>
For this case we have the following variables:
x: represents the number of hand soaps
y: represents the number of lotions
We know that Gabriela bought more than 12 bottles of both products.
Therefore, the inequality that represents the problem is given by:
x + y> 12
Answer:
An inequality that best represents her purchase is:
x + y> 12