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Serhud [2]
3 years ago
11

Need help, what is the answer???

Mathematics
1 answer:
Softa [21]3 years ago
7 0

Answer:

x = 14 and z = 96

Step-by-step explanation:

The 2 marked angles are vertical and congruent, hence

9x - 42 = 5x + 14 ( subtract 5x from both sides )

4x - 42 = 14 ( add 42 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Hence 5x + 14 = (5 × 14) + 14 = 70 + 14 = 84°

z and 5x + 14 form a straight angle and are supplementary, hence

z + 84 = 180 ( subtract 84 from both sides )

z = 96

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Lashonda is saving money to buy a game. So far she has saved $6, which is two-thirds of the total cost of the game. How much doe
aliina [53]

Answer:

The game costs $9

Step-by-step explanation:

I wrote an equation using the variable "t" for the total cost of the game.

6=2/3t

t=6/2/3

t=(6/1)(3/2)

t=18/2

t=9

4 0
3 years ago
What is the absolute davatation round to the nearest tenth for 6.3, 6.4, 6.5, 6.6, 6.8. 6.8, 7.5?
WITCHER [35]
Let's find the mean of all the values first.
6.3+6.4+6.5+6.6+6.8+6.8+7.5= 46.9
Let's divide by the number of values.
46.9÷7=
6.7
Now let's find the distance that each number is away from 6.7 and find the mean of those numbers.
0.4+0.3+0.2+0.1+0.1+0.1+0.8=
.2857
≈ 0.3
So, the absolute deviation is 0.3.
8 0
4 years ago
Read 2 more answers
Marie, Shelia, and Martha bought snacks for a girl's sleepover. They each bought the items shown in the following table at the l
creativ13 [48]

Using a system of equations, it is found that the unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

For the system:

  • x is the unit price of a bag of chips.
  • y is the unit price of liter of pop.
  • z is the unit price for a chocolate bar.

From the table, the equations are:

2x + 2y + z = 9.25

3x + 4y + z = 14.50

x + 3y + 3z = 12

Replacing the <u>first equation on the second and the third:</u>

z = 9.25 - 2x - 2y

3x + 4y + z = 14.50

3x + 4y + 9.25 - 2x - 2y = 14.50

x + 2y = 5.25

x = 5.25 - 2y

x + 3y + 3z = 12

x + 3y + 3(9.25 - 2x - 2y) = 12

-5x - 3y = -15.75

5x + 3y = 15.75

Since x = 5.25 - 2y:

5(5.25 - 2y) + 3y = 15.75

-7y = -10.5

y = \frac{10.5}{7}

y = 1.5

Then:

x = 5.25 - 2y = 5.25 - 2(1.5) = 2.25

z = 9.25 - 2x - 2y = 9.25 - 2(2.25) - 2(1.5) = 1.75

The unit prices are:

  • $2.25 for a bag of chips.
  • $1.50 for a liter of pop.
  • $1.75 for a chocolate bar.

A similar problem, also solved using a system of equations, is given at brainly.com/question/14183076

4 0
3 years ago
(3 − 4i)(5 + 2i)<br><br> A. 15 − 8i<br> B. 23 − 14i<br> C. 15 − 8i2<br> D. 15 − 14i − 8i2
choli [55]

Answer:

B.23-14i

Step-by-step explanation:

(3x5)+(3x2i)-(4ix5)-(4ix2i)

15+6i-20i-8(-1)

15+6i-20i+8

23-14iฟ

8 0
3 years ago
Simplify the expressions. Show your work.
Hunter-Best [27]
7) Use distributive property
3x(4x⁴ - 5x)=3x*4x⁴- 3x*5x = 12x⁵ - 15x²
8) When you open parenthesis with minus sigh in front of it, you need change sings of the terms on opposite. Then find like terms.
(5x⁴-3x³+6x)-(3x³+11x²-8x)= 5x⁴-3x³+6x -3x³-11x²+8x =5x⁴-6x³ - 11x²+14x
9)(x-2)(3x-4)=x*3x-4x-6x+8=3x²-10x+8
10) (x+6)²=(x+6)(x+6)=x²+6x+6x+36=x²+12x+36
For (x+6)², you can also use the formula of the perfect square
(a+b)²=a²+2ab+b²
For (x+6)² =x²+2*x*6 +6²=x²+12x+36


5 0
4 years ago
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