Answer:
Arjun is 20 years old and Shreya is 10 years old.
Step-by-step explanation:
5 YEARS AGO-
Arjun: 2x-5
Shreya: x-5
NOW-
Arjun: 2x
Shreya: x
EQUATION-
2x-5=3(x-5) = 2x-5=3x-15
(add 15 on both sides)
2x+10=3x
(subract 2x from both sides)
x=10
Therefore, Arjun is 20 years old and Shreya is 10 years old :)
Answer:
Angle 1: 115
Angle 2: 65
Angle 3: 115
Angle 4: 65
Angle 5: 115
Angle 6: 65
Angle 7: 115
Step-by-step explanation:
Find the value of angle 2 by applying the vertical angles theorem (65)
Find the value of angle 1 by applying the supplementary angles theorem from the original angle (180 - 65 = 115)
Find the value of angle 3 by applying the vertical angles theorem from angle 1 (115)
Angles 4, 5, 6, and 7 are on a line parallel to the orginal line, cut by the same transversal, so they have the same values, according to the same side interior/exterior angles theorems.
Answer:
Standard form of a quadratic equation is;
ax^2+bx+c=0
According to the above equations, all of them are in standard form.
Step-by-step explanation:
Answer:
look at the sceenshot how you put the graph in
Step-by-step explanation:
The best method for solving # 1 is substitution
x - 0.9y = 4.5......x = 0.9y + 4.5
now sub 0.9y + 4.5 in for x in the other equation
1.5(0.9y + 4.5) - 1.9y = -29 ----distribute through the parenthesis
1.35y + 6.75 - 1.9y = -29
1.35y - 1.9y = -29 - 6.75
-0.55y = -35.75
y = -35.75 / -0.55
y = 65
x - 0.9y = 4.5
x - 0.9(65) = 4.5
x - 58.5 = 4.5
x = 4.5 + 58.5
x = 63
solution is (63,65)
The best method for solving # 4 is by elimination
14x + 7y = 217
14x + 3y = 189...multiply by -1
-----------------
14x + 7y = 217
-14x - 3y = -189 (result of multiplying by -1)
----------------add
4y = 28
y = 28/4
y = 7
14x + 7y = 217
14x + 7(7) = 217
14x + 49 = 217
14x = 217 - 49
14x = 168
x = 168/14
x = 12
solution is (12,7)
