You really can’t simply it but if u use disruptive property it would be -x - -8
<span>3x – 15y = 60
y-intercept x = 0</span>
3(0)– 15y = 60
-15y = 60
y = -4
x-intercept y = 0
3x– 15(0) = 60
3x = 60
x =20
answer :
<span>C. x-intercept: 20; y-intercept: –4</span>
Answer:
Step-by-step explanation:
By adjacent interior angles theorem,
If a transversal line 'r' intersects two parallel lines 'm' and 'n' then the consecutive interior angles are supplementary.
a° + (3x - 18)° = 180°
a° = 180° - (3x - 18)°
By vertical angles theorem,
If two straight lines intersect each other at a point, opposite angles formed are equal in measure.
180° - (3x - 18)° = (5x - 10)°
(5x - 10) + (3x - 18) = 180
(5x + 3x) - (10 + 18) = 180
8x - 28 = 180
8x = 180 + 28
8x = 208
x = 26
Answer:
$300
Step-by-step explanation:
Let D = Dave's savings and S = Sam's savings.
(1) D/S = 5/4
(2) (D – 40)/(S-40) = 13/10 Multiply (1) by 4S
(3) 4D = 5S Multiply (2) by 10(S-40)
10(D - 40) = 13(S - 40) Remove parentheses
(4) 10D – 400 = 13S - 520 Solve (3) for S
S = (4/5)D Substitute into (4)
10D – 400 = 13(4/5)D - 520 Multiply each side by 5
50D – 2000 = 52D – 2600 Subtract 50D from each side
-2000 = 2D – 2600 Add 2600 to each side
600 = 2D Divide each side by 2
D = $300
Dave's savings at first were $300.
Given:
Two similar triangles AEB and ACD.
To solve for x, we can use ratio and proportion following the rule for similar triangles.
So,
AE / AD = AB / AC
Substitute values,
AE = AD - DE
AE = 6 - 5
AE = 1
1 / 6 = 2 / (2 + x + 4)
Solve for x
x = 6
then,
BC = x +4 = 6 + 4 = 10
AC = 2 + x + 4 = 12
Therefore, the measurements of the triangles are:
AE = 1
BC = 10
AC = 12
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