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2 years ago

Analyze the diagram below and complete the instructions that follow.

Mathematics

2 answers:

Dimas [21]2 years ago

7 0

Answer:

c) 5 and 9, 6 and 7

Step-by-step explanation:

The pairs of angles on one side of the transversal but inside the two lines are called Consecutive Interior Angles

weqwewe [10]2 years ago

6 0

Answer:

5 and 9, 6 and 7

Took test

Step-by-step explanation:

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X + y = 152, 8.5x + 12y = 1,656 How many hats were sold?

Elodia [21]

Answer:

x = 48 and y = 104

Step-by-step explanation:

Given equations are:

$x+y = 152\\8.5x+12y=1656$

From equation 1:

$x = 152-y$

Putting the value of y in equation 2

$8.5(152-y)+12y = 1656\\1292-8.5y+12y = 1656\\3.5y+1292 = 1656\\3.5y = 1656-1292\\3.5y = 364\\\frac{3.5y}{3.5} = \frac{364}{3.5}\\y = 104$

Now we have to put the value of y in one of the equation to find the value of x

Putting y = 104 in the first equation

$x+y = 152\\x+ 104 = 152\\x = 152-104\\x = 48$

Hence,

The solution of the system of equations is x = 48 and y = 104

The value of variable which was assumed for number of hats, is the total number of hats.

6 0

2 years ago

Javier simplified the expression below. Find and describe the three mistakes he made.

OverLord2011 [107]

$( \dfrac{20x}{5x^8})^-^3$

Take out the constants

$( \dfrac{20}{5} * \dfrac{x}{x^8} ) ^-^3$

$(4*\dfrac{x}{x^8} ) ^-^3$

Use the rule : $\frac{{x}^{a}}{{x}^{b}}={x}^{a-b}
$

$(4x^1^-^8)^-^3$

$(4x^-^7)^-^3$

Use the negative power rule : ${x}^{-a}=\frac{1}{{x}^{a}}
$

$\frac{1}{4(x^-^7)}^-^3$

$\frac{1}{4^3(x^-^7)}^-^3$

$\dfrac{1}{64x^-^2^1}$

$\dfrac{1}{64* \dfrac{1}{x^2^1}}$

$\dfrac{1}{64 \dfrac{}{x^2^1}}$

$= \dfrac{x^2^1}{64}$

6 0

2 years ago

Read 2 more answers

The sum of a rational number and a positive integer is rational.

Marina86 [1]

Answer:

Step-by-step explanation:

Always True

Positive integers are rational numbers. Adding two rational numbers produces another rational number.

5 0

3 years ago

Read 2 more answers