The two marks on the angles A and C suggest that those angle are the same, and thus the triangle is isosceles.
So, if the measure of angle C is x, the measure of angle A will be x as well.
To solve the exercise, we must use the fact that the sum of the interior angles of any triange is always 180°.
In our case, the measures of the angles are 70, x and x, so the equation is
![70+x+x = 180 \iff 70+2x = 180 \iff 2x = 110 \iff x = 55](https://tex.z-dn.net/?f=%2070%2Bx%2Bx%20%3D%20180%20%5Ciff%2070%2B2x%20%3D%20180%20%5Ciff%202x%20%3D%20110%20%5Ciff%20x%20%3D%2055%20)
Answer:
B is the answer because if you put in a calculation that what you get
3/10n = 4/5
n = (4/5)/(3/10)
n = 4/5 * 10/3
n = 8/3
n = 2 2/3
Answer:
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
Step-by-step explanation:
Let x represent the number of 30-day periods.
Tavon has a gift card for $165 that loses $4 for each 30-day period it is not used.
Therefore the equation =
$165 -$4 × x
= 165 - 4x.......... Equation 1
He has another gift card for $145 that loses $3.50 for each 30-day period it is not used.
$145 -$3.50 × x
= 145 - 3.50x........... Equation 2
Hence, an equation for the number of 30-day periods until the value of the gift cards will be equal is obtained by equating Equation 1 and Equation 2 together
So, we have
Equation 1 = Equation 2
165 - 4x = 145 - 3.50x
We simplify further:
165 - 145 = -3.50 + 4.0x
20 = 0.5x
x = 20/0.5
x = 40
Therefore, number of each 30-day periods until the value of the gift cards will be equal is 40