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LuckyWell [14K]
2 years ago
14

Which statement correctly compares Line segment AB Which statement correctly compares Line segment AB and Line segment FD? And L

ine segment FD?
Mathematics
1 answer:
GenaCL600 [577]2 years ago
6 0

Answer:

AB is longer FD

Step-by-step explanation:

Given

See attachment for triangles ABC and FDE

Required

Compare line segments AB and FD

From the attachment, we have:

AC = FE --- equal line segments

The measure of angles will then be used to compare the line segments;

\angle C = 72^o

\angle F = 65^o

The longer the angle of depression, the shorter the required line segment

72 > 65 implies that AB is longer

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Mr. Palmer deposited $850 into a simple interest account for 8 years, earning at an 8% interest rate. What will his total balanc
Andrei [34K]

Answer:

solution given:

principal [P]=$850

time[T]=8years

rate[R]=8%

now

simple interest [S.I.]=\frac{P×T×R}{100} =$ \frac{850×8×8}{100} =$544

so

Total balance=S.I.+P=$544+$850=$1394.

<u>option b.$1,394.00 is your answer</u>

6 0
3 years ago
A student receives test scores of 62, 83, and 91. This student's term project score is 88. Each test is worth 20% of the final g
miskamm [114]

Answer:

The student's current average score will be 69.2

Step-by-step explanation:

Let first test be TEST A: which is 20 of total and secures 62

Let second test be TEST B: which is 20 of the total marks and has secured 83.

Let third test be TEST C: which is 20 of total and has secured 91.

And now the TEST D which is 25 of total and has secured 88.

Therefore, by multipying across

{0.2}\times{62} = 12.4

{0.2}\times{83} = 16.6

{0.2}\times{91} = 18.2

{0.25}\times{88} =22

Now, by adding the scores to get the average score

We get, 69.2.

6 0
3 years ago
There are three cabinets, A, B, and C,each of which has 2 drawers. Each drawer has 1 coin: A has 2 gold coins, B has 2 silver co
Llana [10]
Only cabinet with two silver coins is cabinet B.
The chance of choosing cabinet B is 1/3.
Thus, there is a 1/3 chance of the two cabinets contain 2 silver coins.
7 0
3 years ago
PLEASEE HELPP WILL BRAINLIST why would the average rate of the change be equal to zero from x = -2 to x = 6?
sweet-ann [11.9K]

Answer:

x=5

Step-by-step explanation:

I was working on this problem also.

Maybe my version will help, too.

You need to sketch f given the information you have.

f'(x) is approximately a a cubic polynomial which means f will look like a quartic (think W)

f slopes down (negative slope) to x=2 and then slopes down again...this is a horizontal tangent.

f then slopes down to to x=5 where is has a minimum and then slopes up.

if im not wrong

7 0
3 years ago
MATH URGENT
maks197457 [2]

{x}^{2}   + 4x - 12 = 0 \\  {x}^{2}  + 4x + 4 - 4 - 12  = 0\\   {(x + 2)}^{2}  - 16 = 0 \\ x =   -   +  \sqrt{16}  - 2 \\ x =   + \:  or - 4 - 2 \\ x =  - 6 \:  \: x = 2
- subtract the 12 from both sides so that it becomes the last constant term in the quadratic equation which should now equal 0.
- take the 4x
- half the coefficient of 4 (2)
- square it (4)
- add it to the equation (+4)
- subtract it from the equation (-4)
- factorise the square (x+2)^2 expands to (x^2 + 4x + 2) as {a+b}^2={a^2 + ab + ba + b^2}
- now the equation is in turning point form.
- to find x, add 16 and square root 16 and (x+2)
- subtract 2 from positive or negative 4 (as -4^2 and 4^2 both equal 16).
- This should give you two values for x, -6 and 2.


I really hope that this helped :)
7 0
3 years ago
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