Answer:
Step-by-step explanation:
99x - 44y = -605
-99x + 63y = 738
19y = 133
y = 7
-9x + 28 = 55
-9x = 27
x = -3
(-3, 7)
The answer is B. because if you take 4.20 and divide it by 3.5 you get 1.20
Answer:
Required value of k is 43% .
Explanation:
Lets assume original regular price of sports jacket = x
On sale , price of jacket is reuced by 30%
Sales price = x - 30% 0f x
![\text{{Sales price}} = x - 30\frac{1}{100}\times x](https://tex.z-dn.net/?f=%5Ctext%7B%7BSales%20price%7D%7D%20%3D%20x%20-%2030%5Cfrac%7B1%7D%7B100%7D%5Ctimes%20x)
Sales price= x – 0.30x
Sales price= 0.70x
Once sales is over price of jacket is increased by k%
That is
Sales price + k% of Sales price
= 0.70x + k% 0.70x
Also given after increasing to k% , price becomes equal to regular price
=> 0.70x + k% of 0.70x = original regular price
=> ![0.70x + \frac{k}{100}\times0.70x = x](https://tex.z-dn.net/?f=0.70x%20%2B%20%5Cfrac%7Bk%7D%7B100%7D%5Ctimes0.70x%20%3D%20x)
=>![0.70 + \frac{0.70}{100}k = 1](https://tex.z-dn.net/?f=0.70%20%2B%20%5Cfrac%7B0.70%7D%7B100%7Dk%20%3D%201)
=>![\frac{0.70}{100}k=1-0.70](https://tex.z-dn.net/?f=%5Cfrac%7B0.70%7D%7B100%7Dk%3D1-0.70)
=> 0.70k = 100 x 0.30
=>
that is 43
Hence required value of k is 43% .
Answer:
m∠BEC = 65°
m∠DEC = 115°
m∠DAE = 78°
m∠ECD = 40°
m∠BAD = 118°
m∠ADC = 62°
Step-by-step explanation:
m∠BEC = 65°
Opposite angles formed by intersecting lines are congruent
m∠DEC = 180 - 65 = 115°
A straight line has a degree measure of 180
m∠DAE = 78°
Opposite interior angles of two parallel lines cut by a transversal are congruent
m∠ECD = 180 - [m∠DEC + 25] = 40°
Sum of angles inside triangle ECD has a measure of 180
m∠BAD = 78 + m∠ECD = 118°
Opposite angles of a parallelogram are congruent
2(m∠BAD) + 2(m∠ADC) = 360
118 + m∠ADC = 180
m∠ADC = 62°
Sum of angles inside a parallelogram = 360°
So y=mx+b
-1 is your b, your y-intercept, go down to -1 on your y axis and plot a point from there...
-7 is your slope of -7/-1
from there...use your slope above and just count the spaces rise over run.
hope this helps! :)