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notsponge [240]

3 years ago

13

The area of a triangle whose height is 1 more than 6 times its base is 13 square feet. If the base of the triangle is x feet, wh

ich equation models this situation?

1 answer:

Orlov [11]3 years ago

6 0

6x + 1 = 13

Hope this helps!

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The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0). Which type of triangle is ∆ABC? Select All that apply.

stepan [7]

Given:

The coordinates of ∆ABC are A(-3, 2), B(5, 8) & C(11, 0).

To find:

The type of the given triangle.

Solution:

Distance formula:

$D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using the distance formula, we get

$AB=\sqrt{(5-(-3))^2+(8-2)^2}$

$AB=\sqrt{(8)^2+(6)^2}$

$AB=\sqrt{64+36}$

$AB=\sqrt{100}$

$AB=10$

Similarly,

$BC=\sqrt{(11-5)^2+(0-8)^2}$

$BC=\sqrt{(6)^2+(8)^2}$

$BC=\sqrt{36+64}$

$BC=\sqrt{100}$

$BC=10$

And,

$AC=\sqrt{(11-(-3))^2+(0-2)^2}$

$AC=\sqrt{(14)^2+(-2)^2}$

$AC=\sqrt{196+4}$

$AC=\sqrt{200}$

$AC=10\sqrt{2}$

Two sides of the triangle are equal, i.e., $AB=BC$ . So, the triangle is an isosceles triangle.

Sum of square of two smaller side is

$AB^2+BC^2=10^2+10^2$

$AB^2+BC^2=100+100$

$AB^2+BC^2=200$

$AB^2+BC^2=AC^2$

Using the Pythagoras theorem, we can say that the given triangle is a right triangle.

Therefore, the correct options are B and F.

7 0

3 years ago

ANSWER ASAP PLZ Elenas bedroom door is 0.8m wide. How wide should the door be on the scale drawing? Explain how you know. (Her b

Ahat [919]

0.8 meter = 80 cm. divide by 50 is 1.6 cm.

similary all the other dimensions. it is convinient to transform it to cm and then divide by 50

7 0

3 years ago

Read 2 more answers

John has $6.10 in quarters and nickels in his pocket. If John has 34 coins in his pocket, how many of the coins are quarters?

Luden [163]

34 = q + n
6.1 = .25q + .05n

-1.7 = -.05q - .05n
6.1 = .25q + .05n

4.4 = .2q
q = 22

22 of the coins are quarters.

7 0

3 years ago

PLEASE HELP!! SOON AS POSSIBLE.

Klio2033 [76]

2/15

90 ÷ 6 = 15

Theoretical probability would be 15 due to the equation above

7 0

3 years ago

1/3 kilogram to 2/3 of a foot

HACTEHA [7]

Answer: idk dont know need more info

Step-by-step explanation:

5 0

3 years ago