Answer:
The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar
Step-by-step explanation:
we know that
If two figures are similar, then their corresponding angles are congruent and their corresponding sides are proportional. The ratio of its corresponding sides is called the scale factor
An dilatation is a transformation that does not modify the internal angles of the figure or the proportion of its measurements.
In this problem ΔABC and ΔA′B′C′ are similar
therefore
The triangle's corresponding angles are congruent and their corresponding sides are proportional therefore, the triangles are similar
Answer:
x = (-29)/5
Step-by-step explanation:
Solve for x:
(2 (x - 5))/3 = (3 (x + 1))/2
Multiply both sides by 6:
(6×2 (x - 5))/3 = (6×3 (x + 1))/2
6/3 = (3×2)/3 = 2:
2×2 (x - 5) = (6×3 (x + 1))/2
6/2 = (2×3)/2 = 3:
2×2 (x - 5) = 3×3 (x + 1)
2×2 = 4:
4 (x - 5) = 3×3 (x + 1)
3×3 = 9:
4 (x - 5) = 9 (x + 1)
Expand out terms of the left hand side:
4 x - 20 = 9 (x + 1)
Expand out terms of the right hand side:
4 x - 20 = 9 x + 9
Subtract 9 x from both sides:
(4 x - 9 x) - 20 = (9 x - 9 x) + 9
4 x - 9 x = -5 x:
-5 x - 20 = (9 x - 9 x) + 9
9 x - 9 x = 0:
-5 x - 20 = 9
Add 20 to both sides:
(20 - 20) - 5 x = 20 + 9
20 - 20 = 0:
-5 x = 9 + 20
9 + 20 = 29:
-5 x = 29
Divide both sides of -5 x = 29 by -5:
(-5 x)/(-5) = 29/(-5)
(-5)/(-5) = 1:
x = 29/(-5)
Multiply numerator and denominator of 29/(-5) by -1:
Answer: x = (-29)/5
Answer:
f
Step-by-step explanation:
A right angled triangle has one angle equal to 90°
an obtuse angle triangle has one angle greater tan 90°
a) An o and right-angled triangle btuse angled triangle can have one angle equal.
b) R and O are not equivalent by definition
c) subset of R and Oare not all triangles as R and O are categories of all triangles. R and O are subset of all triangles
d) Acute triangles have all acute angles. So subset of R and O can't be all acute traingles
e) All triangles with two acute angles are may or may not have third angle as obtuse angle or 90° angle
f) none of the above
step by step explanation:
Draw a perpendicular line AB=6cm
Open your compass to a radius of 4.5cm and place it on B to construct an arc
Again open your compass to a radius of 5.9cm and step at A and draw an arc to intersect the first one at C
Open your compass to a reasonable radius and step at A and B to construct an arc
With the same radius step at B and C to construct another arc
Draw a line to bisect the arcs
