y + (2x -12) = 180 (since they are supplementary angles)
(2x-12) = 96 ( since they are alternate exterior angle)
2x = 96 + 12
2x = 108
x = 108/2
x = 54.
y+( 2x-12)=180
y+(2× 54 -12) = 180
y + (108-12) = 180
y + 96 = 180
y= 180-96
y = 84.
Answer:
25 dm²
Step-by-step explanation:
La superficie de nuestra pared tiene 12.5 m²
Si dividimos la superficie por la cantidad de paneles cuadrados, obtenemos la superficie de cada panel
12.5 m² /50 = 0.25 m²
Sabemos que la superficie de un cuadrado se calcula como l²
Convertimos los 0.25 m² a dm² → 0.25 m² . 100 dm² / 1m² = 25 dm²
Esa es la medida de cada papel.
Si calculamos la medida de cada lado será:
√ (25 dm²) = 5 dm
En conclusión un cuadrado con 5 dm de lado tiene 25dm² de superficie
Si convertimos a m² = 0.25 m²
0.25 m² es la medida que cubre 1 panel de papel
para cubrir 12.5 m² necesitariamos (12.5 . 1) /0.25 = 50 paneles.
Answer:
Step-by-step explanation:
we have
Let
Exchange variables x for y and y for x
Isolate the variable y
Let
-------> inverse function
Answer:
x>-9
Step-by-step explanation:
The question is incomplete: the table and the answer choices are missing.
This is the table:
House 1 2 3 4 5 6 7 8
<span>
Size 1025 1288 2344 988 12,985 1500 1077 2455
</span>
These are the answer choices:
<span>
A) maximum
B) mean
C) median
D) range
</span>
Answer: option C) median.
Explanation:
You have to calculate or analyze every statistics before and after.
A) Máximun.
Before correcting the error, the maximum was 12,985 (the measure of the house 5).
After correcting the error, the new maximum is 17,985 (the corrected measure of house 5). So, this changed 17,985 - 12,985 = 5,000 (square feet).
B) Mean
<span>Increase in the mean = change in the measure / number of houses = 5,000 / 8 = 625 square feet
</span><span>
</span><span>
</span><span>C) Median
</span><span>
</span><span>
</span><span>It is the measure of the central data, after they are ordered.
</span><span>
</span><span>
</span>Since, the error only modified the maximum value, the median did not change.
With the error and without the error it is the average of the two central measures: [1288 + 1500] / 2 = 1,394 square feet.
Then, this measure did not change, and this is the right answer.
D) Range:
The range is the difference between the maximum and the minimum data.
Since, the maximum data changed, the range changed.
