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KIM [24]
3 years ago
13

Nathan took his car in for service and repairs. He had a coupon for 10% off.

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0

Answer:

$594.21

Step-by-step explanation:

Because 254.58 + 333.90+ 64.42= $622.87

and 10 off of $622.87 = $560.58

and 6% sales tax to $560.58 = $594.21

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Prove ΔPAB is isosceles.
Licemer1 [7]

Answer:

See explanation

Step-by-step explanation:

If PX\cong PY, then triangle PXY is isosceles triangle. Angles adjacent to the base XY of an isosceles triangle PXY are congruent, so

\angle 1\cong \angle 2

and

m\angle 1=m\angle 2

Angles 1 and 3 are supplementary, so

m\angle 3=180^{\circ}-m\angle 1

Angles 2 and 4 are supplementary, so

m\angle 4=180^{\circ}-m\angle 2

By substitution property,

m\angle 4=180^{\circ}-m\angle 2=180^{\circ}-m\angle 1=m\angle 3

Hence,

\angle 3\cong \angle 4

Consider triangles APX and BPY. In these triangles:

  • PX\cong PY - given;
  • \angle 5\cong \angle 6 - given;
  • \angle 3\cong \angle 4 - proven,

so \triangle APX\cong \triangle BPY by ASA postulate.

Congruent triangles have congruent corresponding sides, then

AP\cong BP

Therefore, triangle APB is isosceles triangle (by definition).

6 0
3 years ago
Mary invested $5000 in the bank. How much money does she have at the end of 15 years if the interest rate is 4.5% per annum ? A
NARA [144]

Answer:

350000

Step-by-step explanation:

I'm not sure

but I got this one

3 0
3 years ago
Find the solutions to the equation below.
Tanzania [10]

Answer:

F x=1/2

Step-by-step explanation:

8 0
3 years ago
How does the climate of the northeast affect the people/ animals/and plants that live there
Andru [333]
it is really cold so people will have to find food try to survive by hunting animals which is even more difficult also plants would barely get any water
3 0
3 years ago
Hallie bikes 1 5/8 km before lunch and 6 1/4 km after lunch. How much farther does Hallie bike after lunch than before lunch? Ex
EleoNora [17]

Answer:

4 \frac{5}{8} km

Step-by-step explanation:

To find how much farther Hallie biked after lunch compared to the amount she biked before lunch, we can subtract the amounts:

6 \frac{1}{4}-1\frac{5}{8}

However, we can only subtract fractions that have the same denominator, so we need to convert \frac{1}{4} to a fraction with a denominator of 8:

\frac{1}{4}=\frac{2}{8}

Now, we can't subtract 2 from 8, so we need to 'borrow' from the 6 to make the fraction larger:

6\frac{2}{8}=5\frac{10}{8}

Now subtract: 5\frac{10}{8}-1\frac{5}{8}=4\frac{5}{8}

4 0
3 years ago
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