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mote1985 [20]
3 years ago
15

9. Lines A and B are parallel lines. Find the measures of angles 1, 2 and 3. ​

Mathematics
1 answer:
Reika [66]3 years ago
3 0

Answer:

<1 = 33

<2 = 90

<3 = 57

Step-by-step explanation:

<3 = 57 because of alternate interior angles

<2 + <3 + 33 = 180

<2 + 57 + 33 = 180

<2 + 90 = 180

<2 = 90

<1 + <2 + 57 = 180

<1 + 90 + 57 = 180

<1 + 147 = 180

<1 = 33

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G(x) = x to the power of 2 - 6 over 3x + 10 &amp; g(4) = what over what
dalvyx [7]

Answer:

We have that:

g(x) = \frac{x^2 - 6}{3*x + 10}

And we want to find the value of g(4)

Then we are evaluating the function g(x) in x = 4, this means that we need to locate all the "x" in g(x), and replace them by 4.

If we do that, we get:

g(4) = \frac{4^2 - 6}{3*4 + 10}

Now we can just solve this to get:

g(4) = \frac{4^2 - 6}{3*4 + 10} = \frac{16-6}{12-10} = \frac{10}{2}  = 5

8 0
3 years ago
Please answer number one as well as show your work thank you!
sveta [45]

√2 is irrational

a rational number Q can be expressed in the form \frac{a}{b} where a and b are integers.

- 18 = \frac{- 18}{1} ⇒ rational

\frac{2}{3} ⇒ rational

3.14 = \frac{314}{100} ⇒ rational

√2 = 1.414213562...... ⇒ irrational


8 0
3 years ago
Maria Krisp, a licensed physical therapist assistant, earns an hourly
Masteriza [31]

9514 1404 393

Answer:

  • straight time: $699.20
  • overtime: $165.60
  • total pay: $864.80

Step-by-step explanation:

(a) Maria's straight time pay is ...

  (38 h)×($18.40 /h) = $699.20

__

(b) Maria's overtime pay is ...

  (6 h)×(1.5×$18.40 /h) = $165.60

__

(c) Her total pay is the sum of her straight time pay and her overtime pay:

  $699.20 +165.60 = $864.80

8 0
3 years ago
I will give brainliest. <br> What is the hypotenuse and how do I get it?
Ivan

Step-by-step explanation:

by Pythagoras theorem:

perpendicular² + base²= hypotenuse²

(1/√2)²+ (1/√3)² = H²

1/2+1/3= H²

5/6 = H²

√(5/6 )= H

√5/√6 = H

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you

4 0
3 years ago
Find the perimeter of the quadrilateral.
levacccp [35]

<em><u>Question:</u></em>

Find the perimeter of the quadrilateral. if x = 2 the perimeter is ___ inched.

The complete figure of this question is attached below

<em><u>Answer:</u></em>

<h3>The perimeter of the quadrilateral is 129 inches</h3>

<em><u>Solution:</u></em>

The complete figure of this question is attached below

Given that, a quadrilateral with,

Side lengths are:

4x^2 + 8x\ inches \\\\3x^2-5x+20\ inches \\\\7x + 30\ inches \\\\31\ inches

The values of the side lengths when x = 2 are

(4x^2+8x)=(4\times 2^2+8\times 2)=(4\times 4+16)=16+16=32\ inch\\\\(3x^2-5x+20)=(3\times 2^2-5\times 2+20)=(3\times 4-10+20)=12+10=22\ inch\\\\(7x+30)=(7\times 2+30)=14+30=44\ inch

Perimeter of a quadrilateral = Sum of its sides

Perimeter of given quadrilateral = 32 + 22 + 44 + 31 = 129 inches

Thus perimeter of the quadrilateral is 129 inches

5 0
3 years ago
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