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3 years ago

Find the measure of the indicated aces and angles

Mathematics

1 answer:

Serggg [28]3 years ago

4 0

Answer:

a=21

b=69

c=42

d=138

Step-by-step explanation:

c is supplementary to d (which is 138), so c=180-138= 42.

angle b is on the edge of the central angle 138, so b is 1/2, therefore, b=69.

angle a is complementary to angle b because any triangle that includes the diameter is a right angle, so angle a=90-69=21.

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an isosceles triangle has a vertex angle of 21.21 degrees. two sides of the triangle are each 17.91 ft long. whats the area of t

lubasha [3.4K]

Answer:

The area of triangle is $A=58.02\ ft^{2}$

Step-by-step explanation:

Let

B -----> the measure of the vertex angle of the isosceles triangle ABC

a and c -----> the two congruent sides of the isosceles triangle ABC

we know that

The area of a triangle applying the law of sines is equal to

$A=\frac{1}{2}(a)(c)sin(B)$

we have

$a=c=17.91\ ft$

$B=21.21\°$

substitute in the formula

$A=\frac{1}{2}(17.91)(17.91)sin(21.21\°)$

$A=58.02\ ft^{2}$

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3 years ago

The diagonals of a square are _____ each other

patriot [66]

Answer: d) perpendicular bisectors of

Step-by-step explanation:

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2 years ago

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Solve x2 - 8x - 9 = 0. Rewrite the equation so that it is of the form x2 + bx = c.

barxatty [35]

Answer:

x=9,-1 and $x^2+(-8)x=9$

Explanation:

we have been given with the quadratic equation $x^2-8x-9$

we compare the given quadratic equation with general quadratic equation

general quadratic is $ax^2+bx+c=0$

from given quadratic equation a=1,b= -8,c= -9

substituting these values in the formula for discriminant $D=b^{2}-4ac$

$D=(-8)^2-4(1)(-9)=100$

Now, to find the value of x

Formula is $x=\frac{-b\pm\sqrt{D}}{2a}$

Now, substituting the values we will get

$x=\frac{-(-8)\pm\sqrt{100}} {2}= \frac{8\pm10}{2}=9,-1$

And rewritting the given equation by shifting 9 to right hand side of the given equation and taking minus inside the bracket so as to convert it in the form of

$x^2+bx=c$

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3 years ago

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Stolb23 [73]

Answer:

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Step-by-step explanation:

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Find the two perfect square numbers it lies between.

Divide 10 by 3. ...

Average 3.33 and 3. ( ...

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A square root of a number is a value that, when multiplied by itself, gives the number. Example: 4 × 4 = 16, so a square root of 16 is 4. ... The symbol is √ which always means the positive square root.

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