9514 1404 393
Answer:
∠6 = ∠4 = 84°
∠5 = ∠3 = 96°
Step-by-step explanation:
Angle 4 and the marked angle (84°) are <em>corresponding</em> angles, so are congruent. Angles 4 and 6 are vertical angles, so are congruent.
∠6 = ∠4 = 84°
Angle 3 and the marked angle are a linear pair, so angle 3 is the supplement of 84°:
∠3 = 180° -84° = 96°
Angle 3 and angle 5 are <em>alternate interior </em>angles, so are congruent.
∠5 = ∠3 = 96°
Answer:
Step-by-step explanation:
To find the additive inverse of polynomial expression, flip the sign of each term.
6x² ----> -6x²
-x -----> +x
-2 -----> +2
Additive inverse:
-6x² + x + 2
Answer:
227.2727 kilograms
Step-by-step explanation:
The tiger weight is 550 pounds, and we want to convert this value to kilograms, so we need to use the ratio between pounds and kilograms.
We know that 1 kilogram is equal to 2.2 pounds, so we can solve this problem using a rule of three:
1 kilogram is equal to 2.2 pounds,
X kilograms are equal to 550 pounds.
1/X = 2.2/500
X = 500/2.2 = 227.2727 kilograms
So the weight of the tiger in kilograms is 227.2727 kilograms.
To answer this question, you must know what the standard deviation is.
The standard deviation is an index that measures the dispersion of a data set, while the largest is the standard deviation most dispersed are the data with respect to the mean value.
For a normal distribution, it is known that 68% of the data is not more than one standard desviation of the mean.
In this case, when they talk about -1 standard deviation of the mean.
Is:
average - 1 standard deviation
So
62 - 5.7 = 56.3
Therefore, the value sought is 56.3
Answer:
Step-by-step explanation:
Given that:
Principal = $650
Interest rate, r = 2.3% = 0.023 compounded daily
Time, t it takes for final amount, A to reach $880
Using the relation :
A = P(1 + r/n)^nt
n = number of times compounded per period
Hence, n = 365
880 = 650(1 + 0.023/365)^365t
880/650 = 1.0000630^365t
1.3538461 = 1.0000630^365t
Take the log
0.1315692 = 0.0000273596 * 365t
0.1315692 = 0.0099862t
t = 0.1315692 / 0.0099862
t = 13.175101
t = 13.18 years a
