Answer:
a. 35 degrees
b. 145 degrees
Step-by-step explanation:
a. Since the two base angles of this triangle are congruent, we can conclude that the triangle is <em>isosceles, </em>which means that the two base angles and sides are congruent.
Now, knowing that information, we can subtract 110 from 180 (the sum of all interior angles in a triangle) and we get 70. But this isn't our answer. This is the sum of both base angles. Since the base angles are congruent, we can divide the 70 by 2 to get the measure of ONE base angle, which is 35 degrees.
b. There are two approaches to solve this problem. I have worked both out.
1) We can use the Exterior Angle Theorem, which states that the sum of the interior angles is equal to the exterior angle. We can add 110 to 35, so we get 145 degrees as the measure of <1.
2) The second approach is supplementary angles. Since we see that one of the base angles and <1 is on the same line, we can subtract 35 from 180 to find the measure of <1 to get 145 degrees.
Either way you use, you get the correct answer. Hope this helped!
24/15 is the initial fraction. Divide both the numerator and denominator by 3 to get the answer: 8/5
Answer:
5/11
Step-by-step explanation:
Answer:
A. $2,000
Step-by-step explanation:
Let x represent Caitlin's monthly income and y represent Tim's monthly income.
We have been given that Caitlin has a car payment of $300 per month, which is 10% of her monthly income.
We can represent this information in an equation as:
Therefore, Caitlin's monthly income would be $3000.
We are also told that after Caitlin is married to Tim, her car payment will only be 6% of their combined monthly income.
This means that 6% of x plus y is equal to 300.
Therefore, Tim's monthly income is $2,000 and option A is the correct choice.
