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Katarina [22]
3 years ago
15

Pls help and show workings (If you don’t know the answer please don’t respond)

Mathematics
2 answers:
raketka [301]3 years ago
8 0

Answer:

the required postulate which should be used here to make the triangles congruent is

C. ASA , okay

Step-by-step explanation:

because, one side and one angle of both triangles are equal and one of angles of the both triangles are vertically opposite angles , hence they are also equal , so we get an angle, a side and one another angle equal to corresponding side and angles of other triangles , so required postulate is C. ASA

I hope it helped

kogti [31]3 years ago
5 0

Answer:

ASA

Step-by-step explanation:

you have 2 angles and a side, so it could either be ASA or AAS.

ASA- the side is between 2 angles (image 1)

AAS- I'm not exactly sure how to describe it, but it's like 2 angles without a side between (image 2)

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I need help with this
olasank [31]
ANSWER: x = 0 or x = -5 or x = -2 or x = 2
8 0
3 years ago
Solve the simultaneous equations<br> 6x + 5y = 32<br> 2x + 5y = 12<br> V =<br> y =
Anni [7]

Answer: x = 5, y = 2/5

Step-by-step explanation:

We have the system of equations:

6*x + 5*y = 32

2*x + 5*y = 12

To solve it, we can start by isolating one of the variables in one of the equations.

Because in both of them we have the term 5*y, i will isolate 5*y in the second equation:

5*y = 12 - 2*x

Now let's replace it in the first equation:

6*x + (12 - 2*x) = 32

Now let's solve it for x

6*x + 12 - 2*x = 32

(6*x - 2*x) = 32 - 12 = 20

4*x = 20

x = 20/4 = 5

Now we know the value of x, we can replace it in the equation:

5*y = 12 - 2*x

to find the value of y.

5*y = 12 - 2*5

5*y = 2

y = 2/5

Then the solution of the system is x = 5, y = 2/5

8 0
3 years ago
Write the following equation in slope intercept form. y – 3 = -2 (x -5)
hodyreva [135]
Y-3=-2(x-5)
y-3=-2x+10
y=-2x+13
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6 0
3 years ago
write an equation of a line that is perpendicular to the given line and that passes through the given point (4,-6); m=3/5
tresset_1 [31]

Answer:

y=-\frac{5}{3} x-\frac{42}{5}

Step-by-step explanation:

Given the slope and another point, simply plug them into the point-slope formula to find your y-intercept.

y-y1=m(x-x1)\\y-(-6)=\frac{3}{5} (x-4)\\y+6=\frac{3}{5} x-\frac{12}{5} \\y=\frac{3}{5} x-\frac{42}{5}

Now that we've found your y-intercept, we have the original equation. To find the perpendicular equation, you need the opposite reciprocal of your slope.

To find the 'opposite,' change your slope's sign. Since your slope is positive \frac{3}{5}, the opposite is -\frac{3}{5}.

To find the 'reciprocal,' flip your fraction. This will make your slope -\frac{5}{3}.

Your final equation is:

y=-\frac{5}{3} x-\frac{42}{5}

7 0
3 years ago
Rhianna is buying a car for $14,390. She has a $1000 trade-in allowance and will make a $1500 down payment. She will finance the
antoniya [11.8K]

Answer:

(a)

Original price for the Car Rhianna buy = $14,390.

Trade in allowance she has =$1000

So, the reduced price= $14,390-$1,000=$13,390.

Now, she make a $1500 down payment initially, so the remaining amount she pay using Auto-Loan is,    $13,390-$1500=$11,890

Therefore, $11,890 money will she borrow in an auto loan.

(b)

To find the monthly(M) auto payment be:

Since the monthly auto payment in 4 year with 2.6% APR(Annual percentage rate)

Now, Monthly Auto payment(M) be :

P=$11,890, Monthly Car payment per $1000 borrowed at 2.6% for 48 months = $21.958

∴ M=$11,890\cdot \frac{21.958}{1000}

On solving we get,  M=$261.082

Therefore, $261.082 will be her monthly auto payment.

(c)

Total amount of interest(A) she will pay ,

A=total payment in 4 years-total loan amount=(\$261.082\cdot 48)-11,890

=$12,531.936-$11,890=$641.936

So, the total amount of interest she will pay is, $641.936

(d)

Rhianna total payment for the car = total payment in 4 years+Down payment=(261.082\cdot 48)+$1500=$12531.936+$1500=$14,031.936

(e)

∵ Rhianna is 22 years female :

From the given Data in the picture:

Rating factor= 1.2  

Liability insurance 50/100/25 , Bodily injury 50/100

Premium= $310 and Property damage 25 : Premium $175  

Collision insurance=$500 deductible:  Premium $148  

Comprehensive insurance= $500 deductible : Premium $85  

Her total annual premium= 1.2\cdot (\$310+\$175+\$148+\$85) = \$861.60

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3 years ago
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