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nikdorinn [45]
3 years ago
12

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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A Baker made 2 batches of chocolate chip cookies in it . Then he mad and additional 5 oatmeal cookies just in case someone did n
lyudmila [28]

Answer: 29 cookies

Step-by-step explanation:

Judging that a "batch" is a dozen which is 12 then...

12 + 12 + 5 = 29

Hope this helps!!! Good luck!!! ;)

4 0
3 years ago
Which expression is equal to −2i(4−i)?
Cloud [144]

The answer is A -2-8i


6 0
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How many 2/5 ounce servings are in 3 4/7 ounces?
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3 0
3 years ago
In the right-angled triangle abc,ac is the hypotenuse with length 8cm, and ab=6 cm.
faltersainse [42]

Answer:

Step-by-step explanation:

Hypotenuse = AC = 8 cm

AB = 6 cm

 BC² + AB² = AC²

BC² = AC² - AB²

       = 8² - 6²

       = 64 - 36

       = 28

BC =\sqrt{28}=\sqrt{2*2*7}=2\sqrt{7} = 2*2.6458 =5.2916 = 5.29

BC = 5.29 cm

7 0
2 years ago
By rounding to 1 significant figure, estimate<br> 9.9<br> ×<br> 285<br> 18.6<br> ×<br> 3.3
slavikrds [6]

The value of (9.9 × 285)/(18.6 × 3.3) is 50

<h3>How to estimate the product?</h3>

The product expression is given as:

(9.9 × 285)/(18.6 × 3.3)

Divide 9.9 and 3.3 by 3.3

So, we have:

(3.3 × 285)/(18.6)

Evaluate the product

940.5/18.6

Evaluate the quotient

50.564516129

Approximate

50

Hence. the value of (9.9 × 285)/(18.6 × 3.3) is 50


Read more about expressions at:

brainly.com/question/723406

#SPJ1

4 0
2 years ago
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