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Sever21 [200]
3 years ago
9

HELP ITS DUE TODAY!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics
1 answer:
RoseWind [281]3 years ago
4 0

Answer/Step-by-step explanation:

x + 74° + 20° = 180° (sum of interior angles of a triangle)

x + 94° = 180°

x = 180° - 94° (subtraction property of equality)

x = 86°

y = 74° + 20° (exterior angle theorem of a triangle)

y = 94°

y + z + 32° = 180° (sum of interior angles of a ∆)

Plug in the value of y

94 + z + 32 = 180

z + 126 = 180

z = 180 - 126

z = 54°

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Write these numbers in order from least to greatest <br> 0.65, 2/3, 3/5 , 0.5
svp [43]

Answer:

<h2>0.5, 3/5, 0.65, 2/3</h2>

Step-by-step explanation:

Convert the fractions to the decimals (you can use the calculator):

2/3 = 2 : 3 = 0.6666...

3/5 = 3 : 5 = 0/6

We have

0.65

0.666...

0.6

0.5

The order from least to greatest:

0.5

0.6

0.65

0.666..

\begin{array}{c|c|c|c|c}0&.&5\\0&.&6\\0&.&6&5\\0&.&6&6&6...\end{array}

8 0
3 years ago
What is the value of x in the simplified expression?
never [62]

Answer:

27

Step-by-step explanation:

6 0
3 years ago
The sales tax is ​$56 on the purchase of a dining room set for ​$1400 Find the sales tax rate.
OLga [1]

Answer:

4%

Step-by-step explanation:

1400x=56

x=56/1400

56/1400=0,04

0.04= 4%

8 0
3 years ago
Car X weighs 136 pounds more than car Z. Car Y weighs 117 pounds more than car Z. The total weight of all three cars is 9439 pou
Aleksandr [31]

Let x, y and z denote the weighs of car X, car Y and car Z, respectively.

We know that car X weighs 136 more than car Z, this can be express by the equation:

x=z+136

We also know that Y weighs 117 pounds more than car Z, this can be express as:

y=z+117

Finally, we know that the total weight of all the cars is 9439, then we have:

x+y+z=9439

Hence, we have the system of the equations:

\begin{gathered} x=z+136 \\ y=z+117 \\ z+y+z=9439 \end{gathered}

To solve the system we can plug the values of x and y, given in the first two equations, in the last equation; then we have:

\begin{gathered} z+136+z+117+z=9439 \\ 3z=9439-136-117 \\ 3z=9186 \\ z=\frac{9186}{3} \\ z=3062 \end{gathered}

Now that we have the value of z we plug it in the first two equations to find x and y:

\begin{gathered} x=3062+136=3198 \\ y=3062+117=3179 \end{gathered}

Therefore, car X weighs 3198 pound, car Y weighs 3179 pounds and car Z weighs 3062 pounds.

4 0
1 year ago
Find (-2) for (x) = 5•3*.
MAVERICK [17]

Answer:

5/9

Step-by-step explanation:

F(-2)for f(x)=5•3^x

Let x = -2

f(-2)=5•3^(-2)

      = 5 * 1/3^2

     = 5 * 1/9

     = 5/9

5 0
3 years ago
Read 2 more answers
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