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Mumz [18]
3 years ago
12

The base of an isosceles triangle is 10 what can you say about the other legs

Mathematics
1 answer:
Sliva [168]3 years ago
5 0
The legs are equal (congruent) since its isosceles the sides are equal and their base angles are also equal.
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There are 205 coins in a jar all of which are either nickles or quarters . The vaule of the coin in the jar is $31.85. if both o
Gnesinka [82]

Answer: There are 97 nickels and 108 quarters.

Step-by-step explanation:

Let x = Number of nickels, y = Number of quarters.

As per given,

x+y = 205    ...(i)

0.05x+0.25y = 31.85 ... (ii)    [1 nickel = $0.05, 1 quarter = $ 0.25]

Multiply (ii) by 20, we get

x+5y=637   ...(iii)

Eliminate (i) from (iii)

4y = 432

⇒ y = 108 [Divide both sides by 4]

Put value of y in (i), we get

108+x=205\Rightarrow\ x= 97

Hence, there are 97 nickels and 108 quarters.

6 0
3 years ago
Bridget purchased 3 pairs of shoes online. The total bill of $126.81 included a $7.50 shipping charge and 6% tax on the total pu
Alika [10]

Answer:

$37.

Step-by-step explanation:

Firstly, let's set the price of each pair of shoe to be x.

Since each pair of shoes costs the same, and there are three pairs, we can set the original price to be 3x.

Now, to apply the shipping charge, all we have to do is add 7.50 to 3x, getting 3x + 7.5.

Next, to apply a 6% tax, we can multiple the whole expression by (100% + 6%), getting (3x + 7.5) \cdot 106%.

Since the whole bill foots to a total of $126.81, we can set the final equation to be:

(3x + 7.5) \cdot 106\% = $126.81

(3x + 7.5) \cdot \frac{106}{100} = $126.81

3x + 7.5 = $126.81 \cdot \frac {50}{53}

3x = $119.6 - 7.5

3x = 112.1

x \approx \$37

Hope this helped!

6 0
3 years ago
Answer the following 3 questions CORRECTLY I will know if this is wrong. I WILL REPORT ANY INCORRECT ANSWERS!
zhannawk [14.2K]

1. A) 5

7 - 6 ÷ 3

7 - 2

5

2. A) 11

(2 x 4) + 6 ÷ 2

8 + 6 ÷ 2

8 + 3

11

3. A) 40

6 0
3 years ago
Read 2 more answers
The family wants to determine if they can drive to the national park using Just one tank of gas in their car. Determine whether
Nataliya [291]

Answer:

The Fullers can reach the national park

Step-by-step explanation:

<u><em>The complete question is</em></u>

The Fuller family wants to drive to a national park. Some information about their trip is given in the  table below.

Distance to national park 515 miles

Car’s gas tank capacity 20 gallons

Average gas mileage for car 26 miles per gallon

The family wants to determine if they can drive to the national park using just one tank of gas in their  car. Determine whether the Fullers can reach the national park. Show your work or explain your  answer.

we know that

The Average gas mileage for the car is 26 miles per gallon

That means

With 1 gallon the car runs 26 miles

so

using a proportion

Find out how many miles the car runs with 20 gallons (one tank of gas)

\frac{26}{1}\ \frac{miles}{gallon}=\frac{x}{20}\ \frac{miles}{gallons}\\\\x=26(20)\\\\x=520\ miles

Compare with the distance to the national park

520\ miles>515\ miles

therefore

The Fullers can reach the national park

7 0
3 years ago
An aircraft has a total time in service of 468 hours. The Airworthiness Directive given was initially complied with at 454 hours
Georgia [21]

Answer:

440 hours

Step-by-step explanation:

In this case the aircraft has completed one cycle of service in the first 454 hours of service. Then making the difference between the hours of service and the hours of the first cycle we have:

Hours of the second cycle= Total time in service- time Airworthiness Directive

=468-454=14

Then we have 14 hours of service and need to accumulate the rest to complete 454. It is

454-14=440

Then we need to accumulate 440 hours additional to complete the Airworthiness Directive .

6 0
3 years ago
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