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hichkok12 [17]
3 years ago
15

Given the figure below find the values of x and z (12x +2)° 94° z°

Mathematics
2 answers:
MAXImum [283]3 years ago
6 0

Answer:

z = 94

x = 7

Step-by-step explanation:

The angle with a measure of 94° and the angle labeled "z" are vertical angles

Vertical angles are congruent ( equal to each other )

Which means that because "z"s vertical angle = 94° z also equals 94°

The angle labeled with the expression ( 12x + 2 ) and the angle with a measure of 94° are supplementary angles

Supplementary angles add up to equal 180

Hence, 94 + 12x + 2 = 180

                        ^ (Note that this is the equation we will use to solve for x )

Now we solve for x

94 + 12x + 2 = 180  

step 1 combine like terms

94 + 2 = 96

we now have 180 = 96 + 12x

step 2 subtract 96 from each side

180 - 96 = 84

96 - 96 cancels out

we now have 84 = 12x

step 3 divide each side by 12

84 / 12 = 7

12x / 12 = x

we're left with x = 12

GrogVix [38]3 years ago
3 0

Answer:

z = 94

x = 7

Step-by-step explanation:

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Answer:

8 pizzas

Step-by-step explanation:

3 0
2 years ago
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A truck that can carry no more than 7100 lb is being used to transport refrigerators and upright pianos. Each refrigerator weigh
pishuonlain [190]

Let x be the number of refrigerators

Y be the number of pianos

So the inequality:

300x + 475y < 7100

So substitute 12 and 8 to the inequality

300(12) + 475(8) < 7100

3600 + 3800 < 7100

7400 < 7100 is not true

So it will overload the truck 

6 0
3 years ago
What are the roots of the equation 4x^2+24x+45=0 in simplest a+bi form?
Serhud [2]

Answer:

X=(-1.5, 7.5)

Step-by-step explanation:

Simplifying

4x2 + -24x + -45 = 0

Reorder the terms:

-45 + -24x + 4x2 = 0

Solving

-45 + -24x + 4x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(-3 + -2x)(15 + -2x) = 0

 

Set the factor '(-3 + -2x)' equal to zero and attempt to solve:

Simplifying

-3 + -2x = 0

Solving

-3 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.

-3 + 3 + -2x = 0 + 3

Combine like terms: -3 + 3 = 0

0 + -2x = 0 + 3

-2x = 0 + 3

Combine like terms: 0 + 3 = 3

-2x = 3

Divide each side by '-2'.

x = -1.5

Simplifying

x = -1.5  

Set the factor '(15 + -2x)' equal to zero and attempt to solve:

Simplifying

15 + -2x = 0

Solving

15 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-15' to each side of the equation.

15 + -15 + -2x = 0 + -15

Combine like terms: 15 + -15 = 0

0 + -2x = 0 + -15

-2x = 0 + -15

Combine like terms: 0 + -15 = -15

-2x = -15

Divide each side by '-2'.

x = 7.5

Simplifying

x = 7.5

Solution

x = {-1.5, 7.5}

7 0
2 years ago
Jennifer drives 265 miles in 5 hours what is her average rate of speed in miles per hour ?
algol [13]
Answer: 53

265 divided by 5=

53

hope this helps
7 0
3 years ago
Rice weighing 33/4 pounds was divided equally and placed in 4 containers. How many ounces of rice were in each?
QveST [7]

Answer:

The answer is 15 ounces

Step-by-step explanation:

33/4 ÷ 4 pounds.

(4 × 3 + 3)/4 ÷ 4 pounds.

15/4 ÷ 4 pounds.

15/4 × 1/4 pounds.

15/16 pounds.

Now we know that, 1 pound = 16 ounces.

So, 15/16 pounds = 15/16 × 16 ounces = 15 ounces.

Thus, The answer is 15 ounces

8 0
3 years ago
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