Answer:
<em>Answer: C. 32 cm</em>
Step-by-step explanation:
<u>Triangle Inequality Theorem
</u>
Let y and z be two of the side lengths of a triangle. The length of the third side x cannot be any number. It must satisfy all the following restrictions:
x + y > z
x + z > y
y + z > x
Combining the above inequalities, and provided y>z, the third size must satisfy:
y - z < x < y + z
We know the triangle has two congruent angles, which means the triangle is isosceles, i.e., it has two congruent sides.
We are given two side lengths of 16 cm and 32 cm. The third side must have a length of 16 cm or 32 cm for the triangle to be isosceles.
If the third side had a length of 16 cm then the lengths would be 16-16-32. But that combination cannot form a triangle because of the condition stated above.
If y=16, z=16, and x=32 (the worst possible combination), then the inequality
0 < x < 32
wouldn't be satisfied, thus the third side cannot have a length of 16 cm and it must have a length of 32 cm
Answer: C. 32 cm
Answer:
<h3>d) </h3><h3>
</h3>
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Have a great day!!!!!
Sales tax rate for the above sweater is charged at the rate of 8%
Step-by-step explanation:
Sweater’s cost initially- 28$
Cost of Sweater after 30.24$
Sales tax rate deducted?
Analysing the above-provided details we conclude that an increase in the cost was probably due to the addition of sale tax.
Sales tax charged= Cost of the sweater after charging- initial cost
= 30.24$-28$
=2.24$
Percentage of sales tax charged= (sales tax charged/initial cost) *100
Substituting the values of the sales tax and initial cost in the above-provided equation-
= (2.24/28) *100
=8%
Hence the Sales tax charged at the sweater was 8%
