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Sav [38]
3 years ago
15

In quadrilateral ABCD, angle A is 75 degrees, angle B is 115 degrees, and angle D is 90 degrees. What is the measure of angle C?

Mathematics
1 answer:
galina1969 [7]3 years ago
7 0

Answer:

80

Step-by-step explanation:

A quadrilateral measured 360. if you do not know that you can multiply 360 by 2 because there are 2 triangles in a quadrilateral. Then you subtract 360 by 75,115, and 90. And you will get 80 degrees

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Find the base of an isosceles triangle whose area is 60 cm² and the length of one of its equal sides is 13 cm. ​
Kobotan [32]

Answer:

Base = 24 cm or 10cm

Step-by-step explanation:

REMEMBER:
An isosceles triangle ABC with base BC = ‘b' & height AD = ‘h' & its equal sides =13 cm & area = 60 cm²

Using the formulas

A=\frac{bh_b}{2}

h_b=\sqrt{a^2-\frac{b^2}{4} }

There are 2 solutions for b

b=2\sqrt{2}   \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2+\sqrt{13^4-4*60^2} } } ≈ 10cmb=2\sqrt{2}   \frac{A}{\sqrt{a^2+\sqrt{a^4-4A^2} } } =2*\sqrt{2} *\frac{60}{\sqrt{13^2-\sqrt{13^4-4*60^2} } }=24cm

Less complex:

Area of a triangle = 1/2 * b * h = 60

=> h = 120/b

In right triangle ABD

13² = h² + b² /4 ( by Pythagoras law)

=>169 = 120²/b² + b²/4

=>676 b² = 57600 + b^4

=> b^4 - 676 b² + 57600 = 0

=> b² = 676 +- √(676² - 4*57600) / 2

=> b²= 676 +- √(226576) /2

=> b² = (676 +- 476 )/2

=> b² = 1152/2 , 200 /2

=> b² = 576 , 100

=> b = 24, 10

So, Base = 24 cm or 10cm

4 0
2 years ago
PLEASE HELP IMAGE BELOW WITH QUESTION!!!
RSB [31]

Answer:

2

Step-by-step explanation:

Because the base of the first is 6 and the second is 3 so 6/3 = 2

8 0
3 years ago
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musickatia [10]

Answer: H

Step-by-step explanation:

6 0
3 years ago
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(MULTIPLE CHOICE QUESTION)
Aloiza [94]

Answer: B

Step-by-step explanation:

7 0
3 years ago
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Graph a line with a slope of -5 that contains the point -3,-4
guapka [62]

Answer:

The equation of the line is 5x + y + 19 = 0

Step-by-step explanation:

The equation of the line with slope 'm' and given a point (x₁, y₁) passing through it we use the Slope - one - point form which is given by:

                                    y - y₁ = m(x - x₁)

The point given is: (-3, -4) and the slope is -5.

We get the equation of the line to be:

y - (-4) = -5(x - (-3))

⇒ y + 4 = -5(x + 3)

⇒ y + 4 = -5x - 15

⇒ 5x + y + 19 = 0. is the required equation of the line.

4 0
3 years ago
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