Answer:
x = 6/2 = 3
Step-by-step explanation:
This is a dilation. A dilation is a change in size, whether it is an enlargement or reduction.
The scale factor is how much the enlargement is.
The side of Figure A is 2.
So we must multiply 2 ⋅ 1 1/2.
2 ⋅ 1 1/2 (3/2) = 6/2
6/2 is equal to 3.
Therefore, the value of x in Figure B is 3.
Answer:
2y=-14
Step-by-step explanation:
If y=-7 and you multiply y by 2, you do the same thing to both sides and get -7 × 2 = -14
Answer:
Hello! Benny is 25%of his Moms age
Step-by-step explanation:
Answer:
Step-by-step explanation:
From the diagram, quadrilateral BCEF is a cyclic quadrilateral.
Opposite angles if a cyclic quadrilateral sum up to 180°
The diagonals intersect at D to form two pairs of vertical angles, and vertical angles are congruent.
Also sum of angles in triangle CBD is 180°.
-2<em>x</em> + 6<em>y</em> = -38
3<em>x</em> - 4<em>y</em> = 32
To solve by elimination, multiply the top equation by 3 and the bottom equation by 2.
3(-2<em>x</em> + 6<em>y</em> = -38) --> -6<em>x</em> + 18<em>y</em> = -114
2(3<em>x</em> - 4<em>y</em> = 32) --> 6<em>x</em> - 8<em>y</em> = 64
Add the equations.
-6<em>x </em>+ 18<em>y</em> = -114
6<em>x</em> - 8<em>y</em> = 64
+_____________
0 + 10<em>y</em> = -50
10<em>y</em> = -50
<em>y</em> = -5
Substitute -5 for y into one of the original equations to find x.
3<em>x</em> - 4<em>y</em> = 32
3<em>x</em> - 4(-5) = 32
3<em>x</em> + 20 = 32
3<em>x</em> = 12
<em>x</em> = 4
Check work by plugging the <em>x</em>- and <em>y</em>-values into both of the original equations.
-2<em>x</em> + 6<em>y</em> = -38
-2(4) + 6(-5) = -38
-8 - 30 = 38
38 = 38
3<em>x</em> - 4<em>y</em> = 32
3(4) - 4(-5) = 32
12 + 20 = 32
32 = 32
Answer:
<em>x</em> = 4 and <em>y</em> = -5; (4, -5).
