Given:
The measure of the exterior angle adjacent to the vertex angle of an isosceles triangle is 105 degrees.
To find:
The measure of the base angle.
Solution:
We know that the base angles of an isosceles triangle are equal.
Exterior angle theorem: In a triangle, the sum of two interior angles of the triangle is equal to the opposite exterior angle.
Let x be the measure of the base angle. Then the other base angle is also x.
Sum of base angles = x + x
= 2x
Using exterior angle theorem,
Sum of base angles = Measure of the exterior angle adjacent to the vertex
Therefore, the measure of the base angle is equal to 52.5 degrees.
Answer:
9x + 1 = 19. hope this helps
Step-by-step explanation:
- Zombie
Answer:
Incorrect
Step-by-step explanation:
150 students are 100%,
82 students are x%
(82*100)/150=54,67%, so that is more than half of all students
Answer:
48 mph
Step-by-step explanation:
First we need to find the distance from Elkhart to Chicago. Toledo to Elkhart is 136 miles and Toledo to Chicago 244 miles.
So the distance from Elkhart to Chicago can be calculated, since Chicago is farther from Toledo than Elkhart, as: distance(Toledo to Chicago) - distance(Toledo to Elkhart). These distances are given in the problem, so the distance from Elkhat to Chicago is: 244 miles - 136 miles = 108 miles.
This problem basically wants to know the slowest you can be yet still ariving on time. If you are the minimum speed, you will arrive in Chicago exactly at 10:30 A.M. So you have 2 hours and 15 minutes(10:30 A.M - 8.15A.M.) to drive 108 miles.
15 minutes is a fourth of a hour, so you have 2.25hours to go through 108 miles.
The minimum speed you must maintain is 108mph/2.25h = 48mph.
Answer:
If Andre plans on staying within his budget, he should choose Apartment 1.
Step-by-step explanation:
Apartment 1: $1100 rent + $250 utilities = $1350 Total Monthly
Apartment 2: $1350 rent + $100 utilities = $1450 Total Monthly
Andre can spend up to $1320 on rent & $320 on utilities, totaling at $1640. In this situation, Andre needs to save as much money as possible. Either on one of these apartments stay below the budget for monthly cost, but Apartment 2's rent goes $30 higher than his budget allows. In the end, this makes apartment 1 the best option for rent, utilities, and ultimate cost.
If Andre plans on staying within his budget, he should choose Apartment 1.
