Answer:
It is, indeed, a reduction. But, the scale factor of the dilation should be a fraction instead of a whole number, since the shape has shrunk.
Instead of
, it should be
. That would make it (4 - 2) / (8 - 4) = 2 / 4 = 1/2.
Hope this helps!
Answer: x = 22
Explanation:
1) Corresponding sides and correspoding angles of congruent triangles are equal.
2) When you name two congruent triangles the order of the vertices signal which sides and angles are congruents.
That triangle ABC is congruent to triangle DEF means that these are the corresponding parts, which are congruent to each other:
- ∠A and ∠D are congruent
- ∠B and ∠ E are congruent
- ∠C and ∠F are congruent
- Segment AB and segment DE are congruent
- Segment BC and segment EF are congruent
- Segment AC and segment DF are congruent
In the figures, it is given that the segment DF measures (1/2)x - 1 and the corresponding segment AC measures 10 units.
Hence, you set this equation: (1/2)x - 1 = 10
Solving for x:
- (1/2)x = 10 + 1
- (1/2)x = 11
- x = 2(11)
- x = 22 ← answer
Answer:
carrie can invite 5 friends with some money left over
Step-by-step explanation:
12f+10<75
12f<75-10 *carry the 10 over
12f<65 *simplify
f<65/12 *carry the 12 over
f<5.42 *simplify
Answer:12, 84 and 84
Step-by-step explanation:
since we know 3 angles of a triangle = 180 degrees
1 angle = 12 degrees
12 + x + x = 180
12 + 2x = 180
2x= 180 - 12
2x = 168
x = 168/2
x = 84 degrees
Hope it helps! Mark it as Braniest