Answer:
(C) 18cm, 39cm, 21cm and 45cm.
Step-by-step explanation:
The quadrilateral HIJK has sides measuring 12 cm, 26 cm, 14 cm, and 30 cm.
When HIJK is dilated with a scale factor of 1.5, the side lengths becomes:
12 X 1.5 =18 cm
26 X 1.5 =39 cm
14 X 1.5 =21 cm
30 X 1.5 =45 cm
A dilation of HIJK with a scale factor of 1.5 will give us the side lengths:
18cm, 39cm, 21cm and 45cm.
<u>The correct option is C.</u>
Answer:
The answer would be 8.1
Step-by-step explanation:
For the smaller triangle, you use the pythagorean theorem. a squared + b squared = c squared.
To find one of the legs, you do 5 squared - 3 squared = b squared.
25 - 9 = b squared. (BD)
16 = b squared
4 = b
Now for the bigger right triangle. You still use the same tactic.
7 squared + 4 squared = c squared (which is AB)
49 + 16 = c squared
65 = c squared
That means c would equal: square root of 65, which is 8.0622577483 which rounds to 8.1
Congruent sides, so isosceles triangle. When we have an isosceles triangle the bisector of angle A is a perpendicular bisector of BC with foot D. So x=ADB=90 degrees.
Angle B is 47 degrees and angle y=BAD is complementary, the other acute angle in a right triangle.
y = 90 - 47 = 43
Answer: x=90, y=43
Richard and Teo are 7 and 24.
7 times two is 14
24 is ten more than 14
31-7 is 24
