Answer:
See explanation
Step-by-step explanation:
<u> ASA Postulate (Angle-Side-Angle):</u>
If two angles and the included side of one triangle are congruent to the corresponding parts of another triangle, then the triangles are congruent.
Consider triangles XYB and ZYA. In these triangles
- ∠X≅∠Z (given)
- XY≅ZY (given)
- ∠Y is common angle
By ASA Postulate, triangles XYB and ZYA are congruent. Congruent triangles have congruent corresponding sides, so
BX≅AZ
To find the time in which all the bells ring together, we need to find the LCM of 36,40,48.
Prime factorization of 36=2×2×3×3
Prime factorization of 40=2×2×2×5
Prime factorization of 48=2×2×2×2×3
Hence, LCM of 36,40,48=2×2×2×2×3×3×5=720 seconds.
720seconds=
60
720
minutes=12minutes
Hence, all the bells will ring together after 12 mi
Answer:
35
Step-by-step explanation:
x-18=y
y*-3=-51
y=17
x-18=17
17+18=x
x=35
Answer:
14x + 23
Step-by-step explanation:
The lengths of three sides of a triangle are 5x + 9 feet, 2x + 14 feet, and 7x feet.
The perimeter of a triangle: the sum of all of its sides.
5x + 9 + 2x + 14 + 7x
14x + 23
It's the expression of the perimeter of the triangle. Once you will be asked to find x, you'll probably be given the exact perimeter of the triangle.
Answer:
y = 2x-3
Step-by-step explanation:
The y intercept is -3. The slope is change in y/change in x. 2/1 = 2
