Answer:
The sum of the interior angles of a triangle is 180 degrees.
d. Scalene
e. Isosceles
f. Isosceles
g. Equilateral
h. Scalene
i. Equilateral
j. Right
l. Acute
m. Obtuse - doesn't add to 180 not a triangle
n. Acute - doesn't add to 180 not a triangle
o. Obtuse
Step-by-step explanation:
The interior angles of a triangle add to 180 degrees. There are two ways we classify triangle by side lengths and angle measures.
Side lengths: Compare the side lengths and see if any are equal to determine the type.
- Scalene: 3 different lengths
- Isosceles: 2 equal lengths and 1 different
- Equilateral : 3 equal sides
Angle Measures: Compare the angles measures to 90 degrees.
- Right: If one angle is equal to 90
- Acute: All angles are less than 90 degrees
- Obtuse: One angle is greater than 90 degrees
1st integer: x
2nd integer: x+2
Multiply them: x(x+2)=440
X^2+2x-440=0
Use the quadratic formula
x=-22 or x=20
Since x must be a positive integer number, x=20.
Answer:
1st: 20.
2nd: 22
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Answer:
Step-by-step explanation:
The empirical rule states that for a normal distribution, nearly all of the data will fall within three standard deviations of the mean. The empirical rule is further illustrated below
68% of data falls within the first standard deviation from the mean.
95% fall within two standard deviations.
99.7% fall within three standard deviations.
From the information given, the mean is 500 and the standard deviation is 100.
95% of the scores of students would fall within two standard deviations.
2 standard deviations = 2 × 100 = 200
500 - 200 = 300
500 + 200 = 700
Therefore, the probability that a randomly selected student math score is between 300 and 700 is
95%
Answer:
Step-by-step explanation:
1. -3( x - 4) = 2x + 4 - x
-3x + 4 = x + 4
4 = 2x + 4
2x = 0
x = 0
2. 4 + 2 (x - 2) = 2 (x - 1) + 2
4 + 2x - 4 = 2x + 2 + 2
2x = 2x + 4
x = 4
3. 3(x - 4) = 2x - 7 + x
3x - 12 = 3x - 7
x = 5
4. 4x + 15 = 3(x + 5)
4x + 15 = 3x + 15
x = 0
5. 2(x - 3)
for the rest i'm confuse what it is suppose to be