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ollegr [7]
4 years ago
11

7. −4(2z+6)−12=4

Mathematics
2 answers:
Juliette [100K]4 years ago
8 0

Hey there! :)

7.  -4(2z + 6) - 12 = 4

Simplify.

-8z - 24 - 12 = 4

Simplify.

-8z - 36 = 4

Add 36 to both sides.

-8z - 36 + 36 = 4 + 36

Simplify.

-8z = 40

Divide both sides by -8.

z = -5

8.  3/2(x - 2) - 5 = 19

Simplify.

3/2x - 3 - 5 = 19

Simplify.

3/2x - 8 = 19

Add 8 to both side.

3/2x = 19 + 8

Simplify.

3/2x = 27

Multiply both sides by 2.

3/2x · 2 = 27 · 2

Simplify.

3x = 54

Divide both sides by 3.

x = 18

~hope I helped~

stich3 [128]4 years ago
3 0

7)

-4(2z + 6) - 12 = 4

-4(2z) +  -4(6)  -12 = 4         <em>distributed -4 into (2z + 6)</em>

-8z - 24 - 12 = 4                  <em>simplified the multiplied terms</em>

-8z - 36 = 4                        <em>added like terms (-24 and -12)</em>

-8z = 40                             <em>added 36 to both sides of the equation</em>

  z = -5                              <em>divided both sides by -8</em>

Answer: z = -5

8)

\frac{3}{2}(x - 2) - 5 = 19

\frac{3}{2}(x - 2) = 24      <em>added 5 to both sides</em>

(x - 2) = 24(\frac{2}{3})    <em>multiplied both sides by </em>\frac{2}{3}

x - 2 = 16                    <em>simplified the multiplied term on the right</em>

x = 18                         <em>added 2 to both sides</em>

Answer: x = 18


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8 0
3 years ago
19
Taya2010 [7]

The measure of each angles  are m∠F = 46°, m∠D = 32°, m∠E = 102°.

<h3>What is angle?</h3>

An angle in plane geometry is a shape created by two rays or lines that have a common endpoint. The Latin word "angulus," which means "corner," is where the word "angle" comes from. The common endpoint of two rays is known as the vertex, and the two rays are known as sides of an angle.

The angle that lies in the plane need not be in Euclidean space. Angles are referred to as dihedral angles if they are produced by the intersection of two planes in a space other than Euclidean. The symbol "" is used to represent an angle.

We have given that Δ DEF has

m∠D = m∠F - 14

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m∠E = 10 + 2(m∠F)

We know that that sum of all angels in a triangle is 180°, So

m∠D + m∠E  +  m∠F = 180°

Substituting the values we get

(m∠F - 14) + (10 + 2(m∠F)) + m∠F = 180°

m∠F - 14 + 10 + 2m∠F +m∠F

4(m∠F) - 4 = 180

4(m∠F) = 180 + 4

4(m∠F)  = 184

(m∠F)  = 46°

m∠D = 46° - 14

m∠D = 32°

m∠E = 10 + 2(m∠F)

m∠E = 10 + 2( 46°)

m∠E = 10 + 92°

m∠E = 102°

Learn more about angle

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