Answer: x = 143 degrees, y = 37 degrees and z = 143 degrees
Step-by-step explanation: First of all, looking at the line where x is situated,
37 + x = 180 {Sum of angles on a straight line equals 180}
Subtract 37 from both sides of the equation
x = 143
Next, looking at the line where y is situated, we observe that angle y is opposite of angle 37. Opposite angles are equal, therefore
y = 37
Alternatively, since angles x and y lie on the same line, and x has been calculated as 143, then
y + x = 180
y + 143 = 180
Subtract 143 from both sides of the equation
y = 37
Also looking at the line where angle z is situated, angle z is opposite angle x. Opposite angles are equal. Therefore z = 143.
Alternatively angle z and angle 37 lie on the same line. Therefore,
z + 37 = 180
Subtract 37 from both sides of the equation
z = 143
So all three variables are
x = 143, y = 37 and z = 143
Answer:
5.89 liters
Step-by-step explanation:
1 liter is equal to 1000 mL
Answer:
3rd graph
Step-by-step explanation:
3m ≥ 21 whenever you see '≤ or ≥' then you know the circle must be filled
divide each side by 3 to isolate 'm':
m ≥ 7 This inequality, when graphed, should have a closed circle on the number 7 and the shading would be to the right because the symbol is indicates all values "greater than" 7
Answer:
192
Step-by-step explanation:
multiply 32x6 and you will get your answer
Answer:
She spent = 11560 pesos
Amount left = 840 pesos
Step-by-step explanation:
Mrs. Alcántara makes a purchase at the fortuna supermarket, she only has 12,400 pesos, she buys several items and her purchase is equivalent to 13,600 pesos. How much do you have to pay if they give you a 15% discount? How many was left of what he had in cash?
Amount she has = 12400pesos
Item purchased = 13600 pesos
discount = 15 %
So, the total discount on the item purchased is
= 15 % of 13600
= 0.15 x 13600
= 2040 pesos
So, the amount spent = 13600 - 2040 = 11560 pesos
Amount she left = 12400 - 11560 = 840 pesos
