Answer:
Thus, the value of x in the given triangle is 55°
Step-by-step explanation:
Given - Dimensions of triangle and angles
of triangle
Find - Value of x
Solution - The value of x in the given triangle is 55°.
As per the given dimensions of the triangle, the triangle is isosceles. This states that the neighbouring angle will be x° as well.
Thus, the mathematical expression of all the angles of a given triangle will be -
x + x + 80 = 190
2x + 80 = 190
2x = 190 - 80
2x = 110
x = 110/2
x = 55°
.
Answer: 
Step-by-step explanation:
For this exercise it is important to remember the multiplication of signs. Notice that:

In this case you have the following expression given in the exercise:

Then you can follow the steps shown below in order to solve it:
Step 1: You must solve the subtraction of the numbers 0,65 and 3,21. Then:

Step 2: Now you must find the product of the decimal numbers above. In order to do that you must multiply the numbers.
(As you can notice, both are negative, therefore you know that the product will be positive).
Then, you get that the result is the following:

Cubic inches. Think how small a lunchbox is.
Answer:
Kameryn will have more words typed than Joe when the number of minutes exceeds 34.
Step-by-step explanation:
Let
x -----> the number of minutes
y ----> the total words typed
we know that
<em>Kameryn</em>
-----> equation A
<em>Joe</em>
-----> equation B
Solve the system of equations by substitution
Substitute equation A in equation B and solve for x




That means
For x=34 minutes
The amount of words written by Kameryn and Joe are the same.
therefore
For x > 34 minutes
Kameryn will have more words typed than Joe when the number of minutes exceeds 34.
Answer:
<h2>
$3448.81</h2>
Step-by-step explanation:
Using the compound interest formula to calculate the amount compounded after 10years.

P = principal = $2000
r = rate (in %) = 5.6%
t = time (in years) = 10years
n = 1year = time used in compounding

Amount compounded after 10 years is $3448.81