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monitta
3 years ago
12

Which theorem proves the triangles congruent? A- ASA B- SSA C- HL D- SAS

Mathematics
2 answers:
Genrish500 [490]3 years ago
8 0

Answer:

HL

Step-by-step explanation:

The HL Therom only proves right triangles are congruent and since both triangles are right triangles, HL can work here.

LekaFEV [45]3 years ago
7 0

Answer:

um

Step-by-step explanation:

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A corporate bond has a coupon rate of 5.5 percent, a $1,000 face value, and matures three years from today. The corporation is i
melomori [17]

Answer:

= \frac{\frac{75}{100}\times 1000 + \frac{25}{100} \times \frac{60}{100}\times 1000  }{(1+\frac{15}{100})^3 }

=\frac{0.75\times 1000 + 0.25\times 0.60 \times 1000}{(1+0.15)^3}

=\frac{750+0.25\times 0.60\times 1000}{1.15^3} \\\\=\frac{750+150}{1.520875} =\frac{900}{1.520875} \\\\=591.76

Step-by-step explanation:

= (probability of entire face value paid*face value+probability of entire face value not paid*percent of face value paid*face value)/(1+discount rate)^years to maturity

probability of entire face value paid = 75%

face value = 1000

probability of entire face value not paid = 25%

percent of face value paid= 60%

discount rate = 15%

years to maturity  = 3

= \frac{\frac{75}{100}\times 1000 + \frac{25}{100} \times \frac{60}{100}\times 1000  }{(1+\frac{15}{100})^3 }

=\frac{0.75\times 1000 + 0.25\times 0.60 \times 1000}{(1+0.15)^3}

=\frac{750+0.25\times 0.60\times 1000}{1.15^3} \\\\=\frac{750+150}{1.520875} =\frac{900}{1.520875} \\\\=591.76

6 0
3 years ago
If the pool is 3600 ft and cost 0.75 per square foot what is the cost
ikadub [295]
Hi,
side=3600 foot
area=side*side
area=3600*3600
area=129600<span>0</span>0 square foot
cost=area*rate
cost=12960000*0.75
cost=Rs.(or whichever currency)9720000
Hope this helps you.
5 0
3 years ago
Solve 1.3 - 5g = 7.4 Show all work and check the solution
Ronch [10]

Answer:

1.22

Step-by-step explanation:

  1. Subtract 1.3 from each side, so it now looks like this: 5g = 6.1
  2. Divide each side by 5, so it now looks like this: g = 1.22

I hope this helps!

8 0
3 years ago
Read 2 more answers
If an airplane’s speed is 300 miles per hour, what is it’s speed in feet per second?
jonny [76]

Answer:

B. 440 feet per second

Step-by-step explanation:

What you need to do is first convert miles to feet and then hours to seconds. Then you should be able to get the answer

8 0
3 years ago
Jason bought 2/5 pounds of jellybeans for $5.00. How much would a whole pound of jellybeans cost?
aliina [53]
300 jelly beans cost you x dollars.
if you divide 300 by x, you get the number of jelly beans per dollar.
now you are buying 1/2 a dollar's worth of jelly beans, so you will be getting 1/2 * 300 / x which is equal to 150 / x jelly beans.
the actual number of jelly beans you get is determined by x.
if x = 1, the you get 150 jelly beans for 1/2 of a dollar.
if x = 3, then you get 50 jelly beans for 1/2 of a dollar.

you can also work this out by determing the cost per jelly bean.
if you pay x dollars for 300 jelly beans, then the cost per jelly bean is equal to x/300.
now you want to buy 50 cents worth of jelly beans.
the number of jelly beans you can buy is the money you pay divided by the cost per jelly bean.
you pay 50 cents which is equal to 1/2 of a dollar.
you will get 1/2 / (x/300) which is equal to ((1/2)*300)/x which is equal to 150/x.
now let's assume x is equal to 1.
you will get 150/1 = 150 jelly beans.
now let's assume x is equal to 3.
you will get 150/3 = 50 jelly beans.

the equation becomes:
number of jelly beans = 150/x
x = cost for 300 jelly beans.
it's just a matter of how you want to look at it.

another way to look at it would be to set up a ratio.
the ratio would be:
300/x = y/.5
this ratio says:
300 jelly beans is to x dollars as y jelly beans is to half a dollar.
cross multiply to get:
.5*300 = x*y

simplify to get:
150 = x*y
divide both sides of the equation by x to get:
y = 150/x
same equation again.
x is the cost for 300 jelly beans.
y is the number of jelly beans you can get for half a dollar.
7 0
3 years ago
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