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Alexeev081 [22]
3 years ago
5

I need help finding the measures of the other angles.

Mathematics
2 answers:
Alex Ar [27]3 years ago
5 0

<7 and <10 are each 84 degrees

solniwko [45]3 years ago
5 0

We know that Sum of Angles in a Triangle = 180

⇒ Angle(4) + Angle(5) + Angle(7) = 180

⇒ 52 + 44 + Angle(7) = 180

⇒ 96 + Angle(7) = 180

⇒ Angle(7) = 180 - 96 = 84

We know that Vertically Opposite Angles are Equal

Angle(7) and Angle(10) are Equal

⇒ Angle(10) = 84

Also, Angle(8) and Angle(9) are Equal

Let us take Angle(8) = Angle(9) = P

As Angle(8) - Angle(9) - Angle(7) - Angle(10) form a Complete Angle, their Sum should be Equal to 360.

⇒ Angle(8) + Angle(9) + Angle(7) + Angle(10) = 360

⇒ P + P + 84 + 84 = 360

⇒ 2P + 168 = 360

⇒ 2P = 192

⇒ P = 96

We took Angle(8) = Angle(9) = P

⇒ Angle(8) = Angle(9) = 96

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Find a cubic function with the given zeros. (1 point) Square root of seven. , - Square root of seven. , -4
Debora [2.8K]

Given :

Three roots , \sqrt{7},\ -\sqrt{7},\ -4 .

To Find :

A cubic function with the given zeros.

Solution :

Equation of polynomial of 3 zeroes is given by :

(x-a_1)(x-a_2)(x-a_3)=0\\\\(x-\sqrt{7})(x+\sqrt{7})(x+4)=0\\\\( x^2-7)(x+4)=0\\\\x^3+4x^2-7x-28=0

Therefore, the cubic function of given zeroes is x^3+4x^2-7x-28=0.

Hence, this is the required solution.

6 0
3 years ago
What is the equation when y=5x+4 is reflected over the x-axis, y-axis &amp; y=x?
tigry1 [53]

Answer:

A) y=-5x-4

B) y=-5x+4

C) y=\frac{x-4}{5}

Step-by-step explanation:

So we have the equation:

y=5x+4

Let's write this in function notation. Thus:

y=f(x)=5x+4

A)

To flip a function over the x-axis, multiply the function by -1. Thus:

f(x)=5x+4\\-(f(x))=-(5x+4)

Simplify:

-f(x)=-5x-4

B) To flip a function over the y-axis, change the variable x to -x. Thus:

f(x)=5x+4\\f(-x)=5(-x)+4

Simplify:

f(-x)=-5x+4

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

f(x)=5x+4

Switch:

x=5f^{-1}(x)+4

Subtract 4 from both sides:

x-4=5f^{-1}(x)

Divide both sides by 5:

f^{-1}(x)=\frac{x-4}{5}

And we're done :)

7 0
3 years ago
Its 3:49, school is almost done, so answer one question plss
mylen [45]

Answer:

The answer is D.

Step-by-step explanation:

Well since there are 4 values calculated then 2 would be above the  mean because plus the 2 values above the mean. I don't know if it makes since though.

6 0
2 years ago
PLEASE HELP!! WILL MARK BRAINLIEST!! PLZ!
Svet_ta [14]

Some points are (7,3) and (-7,-5).

7 0
3 years ago
Read 2 more answers
Which function has the smallest minimum? (5 points)
Andrej [43]
f(x) has the smallest minimum. The minimum value of f(x) is -3

The largest sin(x) can get is 1.
This applies to sin(2x-pi) as well. So f(x) is as small as -5*(1)+2 = -5+2 = -3.
You can see this each time the red curve bottoms out at y = -3.

The smallest that g(x) can get is y = -2 as shown at the vertex (3,-2)

The smallest that h(x) can get is y = 3 as shown by the point (1,3)

See the attachment for a visual comparison of the three functions. 

4 0
3 years ago
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