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Simora [160]
3 years ago
5

Summer school please help

Mathematics
1 answer:
GalinKa [24]3 years ago
5 0
Step One
Set up a proof for congruent triangles.
By SAS The triangles are congruent. That comes from the fact that <ABD = <ABE (a perpendicular to a straight line will produce 2 right angles) if they are interior to a triangle as well)
DB = BE That comes from the bisector part of the givens.
AB = AB That's always true.

AD = AE Congruent triangles have equal corresponding sides.

Step Two
Set up the equation.
AD = AE
x - 10 = 2x - 34    Add 34 to both sides.
x - 10 + 34 = 2x   
x + 24 = 2x          Subtract x from both sides.
24 = 2x - x
24 = x  

Answer C <<<<<

Problem 2
Find AD if AD = x - 10

Givens 
x = 24 from the previous question.

Solve
AD = 24 - 10
AD = 14
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On a farm there was a cow. And on the farm there were 2 sheep. There were also 3 chickens. What is the total mass of the 1 cow,
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The total mass of the living things on the farm is 588 kg.

<h2><u>Mass calculation</u></h2>

Since on a farm there was a cow, 2 sheep and 3 chickens, to determine what is the total mass of the 1 cow, the 2 sheep, the 3 chickens, and the 1 farmer on the farm, the following calculation must be performed :

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Therefore, the total mass of the living things on the farm is 588 kg.

Learn more about mass calculation in brainly.com/question/14695611

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15. The container shown in the figure is filled with a liquid that weighs 50 g. Find its density.
3241004551 [841]

Answer:

  C.  0.006 g/cm³

Step-by-step explanation:

As the units tell you, density is the ratio of mass to volume. The volume of the container is found from ...

  V = πr²h = π(10 cm)²(25 cm) = 2500π cm³

Then the density is ...

  ρ = (50 g)/(2500π cm³) = 1/(50π) g/cm³

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<em>Comment on the problem</em>

The "liquid" has about the same density as air pressurized to 75 psi.

5 0
3 years ago
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<u>Understanding:</u>

The sum of a geometric series is, a+ar+ar^2+ar^3+..., with a being the start point and r is the common ratio. We can also use the following formula to make life easier S_n=a\frac{1-r^n}{1-r}, a is your start point, r is the common ratio, and n is the number of terms, which in our case is S7.

<u>Solution:</u>

Our start point is 1, a=1,

The common ratio is 5, r=5,

And finally, the number of terms is 7, n=7.

S_n=a\frac{1-r^n}{1-r} \\=(1)\frac{1-(5)^{(7)}}{1-(5)} \\=\frac{1-78125}{1-5} \\=\frac{-78124}{-4}\\=19531

The answer is [A] 19531.

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3 years ago
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Answer:

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Sin^{2} (A) + Cos^{2} (A) = 1

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