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3 years ago

The triangles shown below must be congruent. A. True or B. False

Mathematics

2 answers:

Leona [35]3 years ago

7 0

A.true
Because congruent angles are exactly the same measure

Savatey [412]3 years ago

4 0

Answer/Step-by-step explanation:

False these shapes are similar but not congruent.

All the angles are similar making the shape similar. However, the side length of Side B is equal to the length of Side A. When side A should have been equal to the length of the Side A on the other triangle.

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Determine the height of a cone that has a diameter of 10 inches and volume of 225 in 3 Square

REY [17]

Yes because 235 never needs to be in 3square

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4 years ago

How do I find the area of this figure?

Agata [3.3K]

Step-by-step explanation:

try to separate each shape and then multiply every number of that shape

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3 years ago

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two angles with measures (2x^2+3x-5) and (x^2+11x-7) are supplementary. find the value of x and the measures of each angle.

MakcuM [25]

I found the value of x to be 6 by adding the two equations together and setting them equal to 180.

2x^2+3x-5+x^2+11x-7=180
When you solve for x you get x=6

Then you plug 6 in for x in each angle. The first angle is 85 and the second is 95.

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4 years ago

What is the exact value of the expressions the square root of 180 - the square root of 125 + the square root of 5? Simplify if p

Paraphin [41]

So for this, we will be simplifying √180 and √125 using the product rule of radicals (√ab = √a * √b)

Starting with √180: $\sqrt{180}=\sqrt{10} *\sqrt{18} =\sqrt{5} *\sqrt{2}*\sqrt{9} *\sqrt{2}=3*2*\sqrt{5} =6\sqrt{5}$

Now with √125: $\sqrt{125}=\sqrt{25}*\sqrt{5} =5\sqrt{5}$

Now that we have our simplified radicals, our equation looks like this: 6√5 - 5√5 + √5 . Combine everything, and your answer will be 2√5.

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4 years ago

Triclosan is a compound often added to products such as soaps, lotions, and toothpaste. It is antimicrobial, so for that reason,

miv72 [106K]

Answer:

The appropriate alternative hypothesis is, Hₐ: p₁ - p₂ > 0.

Step-by-step explanation:

In this case it is provided that Triclosan is a compound often added to products such as soaps, lotions, and toothpaste.

Since the compound is antimicrobial its corporate producer maintained that it should help prevent staph infections among people who use products containing the compound.

But a scientist wants to test whether the compound actually is associated with higher incidence of staph infection.

That is he wants to determine whether people with a detectable level of triclosan have higher rates of carrying the staph bacteria than people without triclosan.

Denote:

Group 1: people with a detectable level of triclosan

Group 2: people without a detectable level of triclosan

To test this the hypothesis can be defined as follows:

H₀: The proportion of people with a detectable level of triclosan does not have higher rates of carrying the staph bacteria than people without triclosan, i.e. p₁ - p₂ ≤ 0.

Hₐ: The proportion of people with a detectable level of triclosan have higher rates of carrying the staph bacteria than people without triclosan, i.e. p₁ - p₂ > 0.

Thus, the appropriate alternative hypothesis is, Hₐ: p₁ - p₂ > 0.

6 0

3 years ago