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3 years ago

5 A triangle has two congruent angles. The length of one

Mathematics

2 answers:

nlexa [21]3 years ago

4 0

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

anzhelika [568]3 years ago

4 0

Answer:

Step-by-step explanation:

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mars1129 [50]

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3 years ago

Sixty seven percent of the employees in a company have managerial positions, and 58 percent of the employees in the company have

Kazeer [188]

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Step-by-step explanation:

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So, using probability formulas, we get that

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4 years ago

What are the remaining angle measures if the figure is to be a parallelogram

antoniya [11.8K]

Answer: b=101 c=79 d=101

Step-by-step explanation:

since it is a parallelogram opposite angels are congruent a = c ad b=d

because we know a=79 c must equal 79

and because all the angles must add up to 360 add 79+79 = 158

then subtract from 360- 158= 202 then divide by 2 and this will give us the value for b and d b,d=101

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3 years ago

Read 2 more answers

What is -6x+4=-50 and 5x+6=-44 also -3(7+6x)=-201 please solve these equations and show work

grandymaker [24]

Remember you can do anyting to an equation as long as ou do it to both sides

-6x+4=-50
minus 4 both sides
-6x=-54
divide both sides by -6
x=9

5x+6=-44
minus 6 both sides
5x=-50
divide both sides by 5
x=-10

-3(7+6x)=-201
normally you would distribute (that works) but it's easier to divide both sides by -3
7+6x=67
minus 7 both sides
6x=60
divide by 6 both sides
x=10

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4 years ago

A machine makes errors in a certain operation with probability p. There are two types of errors. The fraction of errors that are

Crank

Answer:

Step-by-step explanation:

The concept of binomial probability is applied.

Mathematically from binomial probability ; (nCx)px(1−p)(n-x)

The detailed step by step is as shown in the attachment

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3 years ago