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a_sh-v [17]
3 years ago
8

1/3(6z+7.2)=0.5(8z+2)-0.4 please hurry this is for now

Mathematics
1 answer:
Crazy boy [7]3 years ago
3 0

Answer:

z = - 0.78

Step-by-step explanation:

Given:

1/3(6z+7.2)=0.5(8z+2)-0.4

Open parenthesis

2z + 2.4 = (4z + 1) - 0.4

2z + 2.4 = - 1.6z - 0.4

Collect like terms

2z + 1.6z = - 0.4 - 2.4

3.6z = -2.8

z = -2.8 / 3.6

= - 0.78

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12. Find the measure of each interior angle of triangle QRT.
Veseljchak [2.6K]

Answer:

\angle QRT=125.6\°

\angle RTQ=6.4\°

\angle TQR=48\°

Step-by-step explanation:

It is important to remember that, by definition, the measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

In this case we can idenfity that the angle 17x is an exterior angle of the triangle QRT. Then:

17x=\angle RTQ+\angle TQR

Where:

\angle RTQ=2x\\\\\angle TQR=48\°

Substituting values and solving for "x", we get:

17x=2x+48\\\\17x-2x=48\\\\15x=48\\\\x=3.2

Then:

17x=17(3.2)=54.4\°\\\\\\\angle RTQ=2(3.2)=6.4\°

The sum of the interior angles of a triangle is 180°, therefore:

\angle QRT+\angle RTQ+\angle TQR=180

Solving for \angle QRT, we get:

\angle QRT=180-48-6.4=125.6\°

8 0
3 years ago
Is this right? Solve the equation. Show your work. 45 = 3b + 69 45- -45 3b 24 3b 24/3 =8 b = 8
Sati [7]
45=3b+69 \\  \\ 3b=-24 \\  \\ b=-8
8 0
2 years ago
Jenna saves $3 for every $13 dollars she earns. Vanessa saves $6 for every $16 she earns. Is Jenna's ratio of money saved to mon
jeka94

We have been given that Jenna saves $3 for every $13 dollars she earns. Vanessa saves $6 for every $16 she earns.

We can compare the ratios of saved money to earned money by Jenna and Vanessa as:

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Let us simplify our equation.

0.2307692307692308=0.375    

We can see that 0.231\neq 0.375 , therefore, Jenna's ratio of money saved to money earned is not equivalent to Vanessa's ratio of money saved to money earned.


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Elodia [21]
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Stells [14]

Answer:

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Step-by-step explanation:

8 0
3 years ago
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