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galben [10]
3 years ago
12

An isosceles triangle has two sides of equal length, a, and a base, b. The perimeter of the triangle is 15.7 inches, so the equa

tion to solve is 2a + b = 15.7. If we recall that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, which lengths make sense for possible values of b? Select two options
Mathematics
2 answers:
saveliy_v [14]3 years ago
8 0

Answer:The b is 15.7-2(a)

Step-by-step explanation:

2a+b=15.7

b=15.7-2a

The length will be a+a which is greater than length of b

The b is 15.7-2(a)

Naetoosmart2 years ago
0 0

(C), (D) Are the answers

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harina [27]

Step-by-step explanation:

Hey there!

Here;

The equations are;

8x + 7y = 39.......(i)

4x - 14y =  - 68..........(ii)

Multiplying equation (i) by 2.

16x + 14y = 78

<u>4</u><u>x</u><u> </u><u>-</u><u> </u><u>1</u><u>4</u><u>y</u><u> </u><u> </u><u> </u><u>=</u><u> </u><u>-68</u>

20x = 10

x =  \frac{10}{20}

x = 1/2.

Putting value of 'x' in equation (i).

8 \times  \frac{1}{2}  + 7y =  39

4 + 7y = 39

7y = 3 9 - 4

y =  \frac{35}{7}

Therefore the value of y is 5.

<u>Check</u><u>:</u>

<u>Put</u><u> </u><u>value</u><u> </u><u>of</u><u> </u><u>x</u><u> </u><u>and</u><u> </u><u>y</u><u> </u><u>in</u><u> </u><u>equation</u><u> </u><u>(</u><u>i</u><u>)</u><u>.</u>

8x + 7y = 39

8 \times  \frac{1}{2}  + 7 \times 5 = 39

4 + 35 = 39

39 = 39

(True).

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<em><u>Hope it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

8 0
3 years ago
11. Four less than a number tripled is the same number increased by ten.<br> What is the number?
Sphinxa [80]

Answer:

7

Step-by-step explanation:

first, we would set up an equation. let 3x-4 represent "four less than a number tripled". "a number" would be represented by x. let x+10 represent "the same number increased by 10".

set 3x-4 and x+10 equal to each other:

3x-4=x+10

next, we would solve this equation for x. first we would get the x together on one side of the equation. we would do this by subtracting x from both sides to remove it from the right side of the equation:

2x-4=10

then, we would get the 2x by itself. we would do this by adding 4 to both sides:

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finally, we would divide each side of the equation by 2 to find x:

x=7.

The number is 7.

8 0
2 years ago
The rule for the number of fish in a home aquarium is 1 gallon of water for each inch of fish length. Marta's aquarium holds 33
tigry1 [53]
<h3>Answer:</h3>
  • A: 7 inches
  • B: 6 inches
<h3>Step-by-step explanation:</h3>

We can let the variables A and B stand for the length in inches of fish A and fish B, respectively.

If we assume each person bought fish having a total length of 1 inch per gallon of aquarium, then we can write equations ...

... 3A +2B = 33 . . . . . total length of Marta's fish

... 3A +4B = 45 . . . . . total length of Hank's fish

Subtracting the first equation from the second, we get ...

... 2B = 12

... B = 6 . . . . . divide by 2

Using this value in the first equation, we have ...

... 3A + 2·6 = 33

... 3A = 21 . . . . . . . . subtract 12

... A = 7 . . . . . . . . . . divide by 3

Fish A is 7 inches long; fish B is 6 inches long.

6 0
2 years ago
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elixir [45]

Answer:

Step-by-step explanation:

1/24

6 0
2 years ago
Find the angle of this sector. <br>on the image ​
KatRina [158]

Answer:

\alpha =107.4^{o}

Step-by-step explanation:

15=\frac{\pi (8)\alpha }{180}

\alpha =\frac{(15)(180)}{8\pi } =\frac{2700}{25.13}=107.4

Hope this helps

5 0
2 years ago
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