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xenn [34]
3 years ago
6

The perimeter of triangle RXA is 24. If RX = 4 and RA = 11, find XP and PA. A. XP = 1.5, PA = 7.5 B. XP = 2.4, PA = 6.6 C. XP =

3, PA = 6 D. XP = 4, PA = 5

Mathematics
1 answer:
mart [117]3 years ago
8 0
The picture in the attached figure

we know that
RX+RA+XA=24
XA=24-RA-RX------> XA=24-11-4----> XA=9
XA=XP+PA
so
XP+PA=9------> XP=9-PA-----> equation 1

RX/XP=RA/PA

11*XP=4*PA-----> equation 2
substitute equation 1 in equation 2
11*[9-PA]=4*PA-----> 99-11*PA=4*PA----> 15*PA=99----> PA=99/15
PA=6.6
XP=9-PA-----> XP=9-6.6----> XP=2.4

the answer is the option
<span>B. XP = 2.4, PA = 6.6 </span>

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a woman has $28,000. part is invested for one year in a certificate of deposit paying 7% interest, and the remaining amount in c
alexira [117]

Answer:

Amount invested at 7% = 16000

Amount invested at 9% = 12000

Step-by-step explanation:

Let x be the amount invested at 7% and y be the amount invested at 9%.

Since the total amount invested is $28000, therefore, we can set up the first equation as:

x+y=28000

Secondly, we are give that sum of two investments is $2200. Therefore, we can write the second equation as:

0.07x+0.09y=2200

Now we need to solve these two equations to get the values of x and y.

First of all, we multiply the second equation with 100 in order to get rid of decimal values.

(0.07x+0.09y)*100=2200*100\\7x+9y=220000

Let us use substitution method here. First of all we will solve for y from first equation and plug that into second equation.

y=28000-x

7x+9(28000-x)=220000\\7x+252000-9x=220000\\-2x=-32000\\x=16000

Therefore, amount invested at 7% is $16000 and amount invested at 9% is 28000-16000=$12000.

7 0
2 years ago
Mario made this model to find the 3 digit number and a 1 digit number what multiplication sentence represents marios model
djyliett [7]

Answer:

Step-by-step explanation:

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6 0
3 years ago
Someone please help me
solmaris [256]
37.
13 - 7 = 6
Her Mom Uses 6

38.
9 + 8 = 17
Andrew Had 17 Muffins
6 0
2 years ago
If F(x) =6x, Find F(4) <br> F(3)=
soldi70 [24.7K]

Answer:

F(4)=24 and F(3)=18

Step-by-step explanation:

Plug the 4 and the 3 in to the x's and multiply them by 6

6 0
3 years ago
A line passes through (2,-1) and (4,5). What answer is the equation of the line? -3x+5y=-13
Sliva [168]

The equation of the line passes through (2, -1) and (4, 5) is -3x + y = - 7 So, option 2 is correct.

<u>Solution:</u>

Given, two points are (2, -1) and (4, 5)

We have to find that a line that passes through the given two points.

First let us find the slope of the line that passes through given two points.

So, slope of line "m" is given as:

\mathrm{m}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

\text { where, }\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right) \text { are two points on line. }

So slope of our line = \frac{5-(-1)}{4-2}=\frac{5+1}{2}=3

Now, let us find the line equation using point slope form:

y-y_{1}=m\left(x-x_{1}\right) \text { where } m \text { is slope and }\left(x_{1}, y_{1}\right) \text { is point on the line. }

Then equation of line is,

y – 5 = 3(x – 4)  

y – 5 = 3x – 12  

-3x + y = 5 – 12  

-3x + y = -7

Hence, the line equation is -3x + y = - 7 so, option 2 is correct.

4 0
3 years ago
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