Maybe you can try graphing it if the graph does not have any x-intercepts than it has no real roots
Answer:
33°
Step-by-step explanation:
We were given that:
1- The angles of a triangle add up to 180 degrees
2- The second angle is 15 degrees larger than the smallest angle
3- The third angle is 3 times as big as the smallest angle
So, first of all, let's call the smallest angle x.
the second angle will be (x + 15°) since it is 15 degrees greater than the smallest angle
and the third will be 3x, since it is 3 times bigger than the smallest angle.
With the information we have, we can form an equation!
180° = x + (x+ 15°) + 3x
180° = 5x + 15°
180° - 15° = 5x + 15° - 15°
165° = 5x
165°/5 = 5x/5
33° = x
therefore, the smallest angle measures 33° degrees, the second angle measures 48° and the third angle measures 99°.
99° + 33° + 48° = 180°
so it is safe to say this answer is correct!
Answer: x=13
Step 1: Define isosceles triangle
In an isosceles triangle, two sides and angles are equal. The equal sides will be the legs.
Step 2: Write an equation
To write an equation we must first consider the information discussed in step 1. Since we know that the legs will be equal, we will add that to the equation twice. The base and legs will be on one side of the equation, and the perimeter will be on the other. Now we can write the equation!
x+3x-7+3x-7=77
Step 3: Combine like terms
Like terms are terms that share the same variable, or lack of. Let’s add/subtract these now.
x+3x-7+3x-7=77
7x-14=77
Step 4: Solve for x
Let’s do the last part of the equation and solve for x, our final answer.
*Rewrite equation*
7x-14=77
*Add 14 to both sides*
7x=91
*Divide 7 on both sides*
x=13
This is your answer. Hope this helps! Comment below for more questions.
The mean is the average. To find it, you add all of the numbers together.
2 + 8.7 + 11.9 + 3.3 + 4.2 + 2.2 + 13.4 = 45.7
Now you divide the total by the amount of numbers you added. Because you added 7 numbers, you divide 45.7 by 7.
45.7 ÷ 7 = 6.52 (This is the mean.)
To find the median you have to put all of the numbers in order of least to greatest.
2 2.2 3.3 4.2 8.7 11.9 13.4
The median is the number in the very middle. In this case, it is 4.2.
9514 1404 393
Answer:
A. 2,3,4
D 3,4,5
Step-by-step explanation:
In order for segment lengths to be able to form a triangle, the sum of the shortest two must exceed the longest.
A. 2,3,4 . . . 2 + 3 > 4 . . . can make a triangle
B. 2,3,5 . . . 2 + 3 = 5 . . . not a triangle
C. 2,3,6 . . . 2 + 3 < 6 . . . not a triangle
D 3,4,5 . . . 3 + 4 > b . . . can make a (right) triangle
E. 3,4,8 . . . 3 + 4 < 8 . . . not a triangle
