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mote1985 [20]
2 years ago
9

100 POINTS FOR ANYONE WHO CAN ANSWER THESE! <3

Mathematics
1 answer:
faust18 [17]2 years ago
8 0

Answer:

∠1 = 142°

<u>reason:</u> angles 1 and 2 are supplementary so they equal 180. 180-38 is 142

∠3 = 38°

<u>reason:</u> angles 2 and 3 are adjacent angles because they are diagonal from each other so they will equal the same measure.

∠4 = 142°

<u>reason:</u> since angle 4 is adjacent to angle 1 and is supplementary to angle 3, it has to be 142

∠5 = 38°

<u>reason:</u> since it is a transversal that means both of the intersections are the same measurements. so angle 5 is 38 since it matches up with angle 2

∠6 = 142°

<u>reason:</u> for the same reason as angle 5. angle 6 matches up with angle 1 so it has to equal 142.

∠8 = 142°

<u>reason:</u> since angle 8 is adjacent to angle 6 it has to equal 142. angle 8 is also a transverse angle to angle 4. and since angle 4 also equals 142, 8 has to also

Step-by-step explanation:

hope this helped you :)

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Answer:

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Step-by-step explanation:

Formula:

Area of triangle = bh/2

b - base  of triangle

h - height of triangle

<u>Distance formula</u>

d = √(x₂ - x₁)² +(y₂ - y₁)²

From the figure we can see that, the given triangle is right angled triangle.

Base = AC and Height = AB

<u>To find AB and AC</u>

A(1,3), B(4,7) and C(9, -5)

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If f(x)=3x−2 and g(x)=x2−5, what is g(f(2))?
Vikki [24]

Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = 3x - 2

g(x) = x² - 5

<u>Step 2: Find g(f(2))</u>

f(2)

  1. Substitute in <em>x</em>:                    f(2) = 3(2) - 2
  2. Multiply:                               f(2) = 6 - 2
  3. Subtract:                              f(2) = 4

g(f(2))

  1. Substitute in <em>x</em>:                    g(4) = 4² - 5
  2. Exponents:                          g(4) = 16 - 5
  3. Subtract:                              g(4) = 11
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