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Umnica [9.8K]
3 years ago
9

Simplify the sum. Answers in the attachment. Will award brainliest.

Mathematics
1 answer:
pychu [463]3 years ago
7 0

Answer:

your answer is C.

Step-by-step explanation:

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Given: AC bisects angle BCD , Angle ABC is congruent to angle ADC prove AB is congruent to AD. Help immediately
weeeeeb [17]

<em>AC bisects ∠BAD, => ∠BAC=∠CAD ..... (1)</em>

<em>thus in ΔABC and ΔADC,    ∠ABC=∠ADC (given), </em>

<em>                                       ∠BAC=∠CAD      [from (1)],</em>

<em>AC (opposite side side of ∠ABC) = AC (opposite side side of ∠ADC), the common side between ΔABC and ΔADC</em>

<em>Hence,      by AAS axiom, ΔABC ≅ ΔADC,</em>

<em>Therefore,  BC (opposite side side of ∠BAC) = DC (opposite side side of ∠CAD),  since (1)</em>

<em />

Hence, BC=DC proved.

7 0
3 years ago
Read 2 more answers
Brad typed in 48 minutes a report that
g100num [7]

Answer:

59.9 words per minute

Step-by-step explanation:

You can round it to 60.

3 0
2 years ago
Read 2 more answers
Isotope mass (amu) abundance (%) 1 203.97304 1.390 2 205.97447 24.11 3 206.97590 22.09 4 207.97665 52.41 find the atomic mass of
Nata [24]
Answer:
average atomic mass = 207.2172085 amu

Explanation:
To get the average atomic mass of an element using the abundance of its isotopes, all you have to do is multiply each isotope by its percentage of abundance and then sum up all the products.

For the question, we have:
203.97304 amu has an abundance of <span>1.390% (0.0139)
</span>205.97447 amu has an abundance of 24.11% (0.2411)
206.97590 amu has an abundance of 22.09% (0.2209)
207.97665 amu has an abundance of 52.41 % (0.5241)

The average atomic mass can be calculated as follows:
average atomic mass = 203.97304(0.0139) + 205.97447(0.2411)
                                     + 206.97590(0.2209) + 207.97665(0.5241)
average atomic mass = 207.2172085 amu

Hope this helps :)
7 0
3 years ago
The radius of this ball is 15 inches. Which equation gives the ball's surface area, in square inches?
lilavasa [31]

Best to look up the formula for the surface area of a sphere and then find it:

A = 4πr^2, where r is the radius of the sphere.  Then,

A = 4π(15 in)^2 = 4(3.14)(225 in^2) =  2826 in^2 (answer)

This is represented by the formula given in the lower left.

8 0
3 years ago
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After spending 30% of her salary Sara was able to deposit $120 in the bank. What is her salary?
Katena32 [7]

Answer: $400

Step-by-step explanation:

So first you set it up in a equation. You put the amount she put in the bank over x (the x represents her full salary) which equals the percent she already spent over her full salary. That would be 120/x=30/100 you would then cross-multiply to get 12,000 = 30x. you then divide 30 from both sides to get x =400.

3 0
3 years ago
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