Answer:
68 cm
Step-by-step explanation:
√289 = 17
each side is 17 cm
17 * 4 = 68 cm
Answer:
the first graph does////=//
Answer:
1.0472
Step-by-step explanation:
60
= 60 × π/180 rad
= π/3 rad
Hope this helps! :)
Answer:
m<A = 120°
m<C = 45°
Step-by-step explanation:
We can use the triangle sum theorem to find the measures of the angles.
m<A + m<B + m<C = 180°
Then substitute in their given values.
12x + 12 + 15 + 3x + 18 = 180°
Now simplify the equation and you get
15x + 45 = 180°
Continue to solve
15x = 135
x = 9°
Now substitute this value of 9 for the angle expressions of <A and <C
(12 x 9) +12 = m<A
m<A = 120°
(3 x 9)+ 18 = m<C
m<C = 45°
Hope this helps. To check your answer you can add up all the answers to see if it equals 180°.
Answer:
<u>Let's verify is the corresponding sides have same ratio:</u>
- ΔABC, sides: 6, 9, 11
- ΔXYZ, sides: 21, 31.5, 38.5
<u>Ratios:</u>
- 6/21 = 2/7 (divide by 3)
- 9/31.5 = 2/ 7 (divide by 4.5)
- 11/38.5 = 2/7 (divide by 5.5)
The ratios are same, so the triangles <u>are similar</u>
- Yes, the sides are all proportional
The scale factor (ΔABC to ΔXYZ) is <u>2/7</u> (or ΔXYZ to ΔABC is 7/2 = <u>3.5</u>)
