Eliminate x's by adding te 2 equations
add them
-2x+15y=24
<u>2x+9y=24 +</u>
0x+24y=48
24y=48
divide both sides by 24
y=2
sub back
2x+9y=24
2x+9(2)=24
2x+18=24
minus 18 both sides
2x=6
divide 2
x=3
x=3
y=2
(x,y)
(3,2)
Answer:
4500
Step-by-step explanation:
because if you round 4,536.50 you will get 4500 since 36 is before 50+
Answer:
At least 328 points
Step-by-step explanation:
and all of Sawyer's points up and subtract that number (1473) from Roger's total score.
Answer:
yes, if AB ≅ DE
Step-by-step explanation:
Triangles are said to be congruent if they have the same sides and the same angles.
The following measures are used to determine if triangles are congruent:
1) Angle-side-angle: If two angles and a side of a triangle is equal to two angles and corresponding side of another triangle, then they are congruent.
2) Side-side-side: If all three sides of a triangle is equal to three sides of another triangle, then the two triangles are congruent.
3) Side angle side: If two sides and an included angle of a triangle is equal to the two sides and corresponding angle of another triangle, then they are congruent.
4) Hypotenuse - leg: If the hypotenuse and one leg of a triangle is equal to the hypotenuse and leg of another triangle then they are congruent.
From the triangles DEF and ABC, already, they already have one equal triangle that is ∠F = ∠B and an equal side i.e DF = AC.
To satisfy congruence, two sides and an angle have to be equal, therefore if AB = DE then the two triangles would be congruent
Answer:
The solution is (8, -1).
Step-by-step explanation:
2x + 4y = 12..........(1)
y = 1/4x – 3 ..........(2)
Substitute y = x - 3 in equation (1):
2x + 4(1/4x - 3) = 12
2x + x - 12 = 12
3x = 24
x = 8.
Now substitute for x in equation (2):
y = 1/4 *8 - 3
y = -1.