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kow [346]
3 years ago
12

Find the missing value for the parallelogram

Mathematics
2 answers:
valina [46]3 years ago
8 0

Answer:

to find y

you find the bottom right angle

which is 180-120 = 60

then you do 60+35 = 95

then 180 -95 because the sum of all angles in a triangle is 180

so the answer is<u> 85 = y</u>

<u />

There is a rule where the alternate angles between the parallel lines are identical

if y = 85 that means that the angle next to 35 is 85

same for angle z, if the top right 35, that means that <u>angle z = 35</u>

<u />

Now you add 35 + 85 = 120

180 - 120 =<u> 60 = angle x</u>

<u />

<u>In summary</u>

<u>x=60</u>

<u>y=85</u>

<u>z=35</u>

Hope that answers your question

Don't hesitate to leave a comment if you are confused about something

Step-by-step explanation:

jeka57 [31]3 years ago
3 0

Answer:

y = 85°

z = 35°

x = 60°

Step-by-step explanation:

y) 180 - 120 = 60, therefore:

180 - (35 + 60)

=> <u>y = 85</u>

z)

=> <u>z = 35</u>

x)

180 - (35 + 85)

=> <u>x = 60</u>

Hope this helps!

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What is the solution to 0.4(12 – 3x) = 0.3(12x – 16)?
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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
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Equality Properties

  • Multiplication Property of Equality
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Step-by-step explanation:

<u>Step 1: Define</u>

0.4(12 - 3x) = 0.3(12x - 16)

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Distribute:                                4.8 - 1.2x = 3.6x - 4.8
  2. Add 1.2x on both sides:          4.8 = 4.8x - 4.8
  3. Add 4.8 on both sides:           9.6 = 4.8x
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Answer:

Geometric proof in explanation.

Step-by-step explanation:

Draw an equilateral triangle.

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We are going to draw a line segment to cut the equilateral triangles into two congruent right triangles. I will do this in the attachment with p being positive.

You can see we will get 30-60-90 triangles.

We don't need to find the adjacent measurement to the angle whose measurement is 30 degrees since sine is opposite over hypotenuse.

\sin(30^\circ)=\frac{\frac{p}{2}}{p}=\frac{p}{2} \cdot \frac{1}{p}=\frac{1}{2}

\sin(30^\circ)=\frac{1}{2}

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