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3 years ago

I don’t understand how to find x. Please explain!

Mathematics

2 answers:

julia-pushkina [17]3 years ago

6 0

Answer:

X=60

Step-by-step explanation:

The little square near 150 means- that angle is right, i.e 90.

Like you can see, x, 30 and 90 are on the the same straight line, so the some of them is 180.

30+90+x=180

120+x=180

x=60

IrinaVladis [17]3 years ago

5 0

Answer:

x = 60 degrees.

Step-by-step explanation:

The angle marked with a square indicates that it is 90 degrees. So the 'square' angle to the left of it is also 90 degrees, as they are on the same straight line, so their sum is 180 degrees.

Therefore x + 30 = 90

x = 60 degrees.

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24x+7=79 help? have to get x by itself, right?

andrey2020 [161]

24x + 7=79
subtract 7 from both sides
24x + 7 - 7= 79 - 7
24x= 72
divide both sides by 24
x= 3

CHECK:
24x + 7= 79
24(3) + 7= 79
72 + 7= 79
79= 79

ANSWER: x= 3

Hope this helps! :)

4 0

3 years ago

What is the end behavior of the graph of the polynomial function f(x) = 3x6 + 30x5 + 75x4?

Ugo [173]

Answer:

rises to the left and rises to the right

Step-by-step explanation:

8 0

2 years ago

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If the ratio of dogs to cats at an animal shelter is 2:5, then the number of cats is _____ times the number of dogs.

saul85 [17]

So 2:5 means that 5/7 animals are cats and 2/7 are dogs. I believe if you divide u will get your answer. 5/7 * 7/2 = 1.25x the number of dogs

6 0

3 years ago

A person on tour has dollar 360 for his daily expenses. If he extends his tour for 4 days, he has to cut down his daily expenses

mash [69]

Answer:

The original duration of the tour = 20 days

Step-by-step explanation:

Solution:

Total expenses for the tour = $360

Let the original tour duration be for $x$ days.

So, for $x$ days the total expense = $360

Thus the daily expense in dollars can be given by = $\frac{360}{x}$

Tour extension and effect on daily expenses.

The tour is extended by 4 days.

Tour duration now = $(x+4)$ days

On extension, his daily expense is cut by $3

New daily expense in dollars = $(\frac{360}{x}-3)$

Total expense in dollars can now be given as: $(x+4)(\frac{360}{x}-3)$

Simplifying by using distribution (FOIL).

$(x.\frac{360}{x})+(x(-3)+(4.\frac{360}{x})+(4(-3))$

$360-3x+\frac{1440}{x}-12$

$348-3x+\frac{1440}{x}$

We know total expense remains the same which is = $360.

So, we have the equation as:

$348-3x+\frac{1440}{x}=360$

Multiplying each term with $x$ to remove fractions.

$348x-3x^2+1440=360x$

Subtracting $348x$ both sides

$348x-348x-3x^2+1440=360x-348x$

$-3x^2+1440=12x$

Dividing each term with -3.

$\frac{-3x^2}{-3}+\frac{1440}{-3}=\frac{12x}{-3}$

$x^2-480=-4x$

Adding $4x$ both sides.

$x^2+4x-480=-4x+4x$

$x^2+4x-480=0$

Solving using quadratic formula.

For a quadratic equation: $ax^2+bx+c=0$

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Plugging in values from the equation we got.

$x=\frac{-4\pm\sqrt{(4)^2-4(1)(-480)}}{2(1)}$

$x=\frac{-4\pm\sqrt{16+1920}}{2}$

$x=\frac{-4\pm\sqrt{1936}}{2}$

$x=\frac{-4\pm44}{2}$

So, we have

$x=\frac{-4+44}{2}$ and $x=\frac{-4-44}{2}$

$x=\frac{40}{2}$ and $x=\frac{-48}{2}$

∴ $x=20$ and $x=-24$

Since number of days cannot be negative, so we take $x=20$ as the solution for the equation.

Thus, the original duration of the tour = 20 days

6 0

3 years ago

7) A real number that is less than zero. These represent opposites.

enot [183]

Answer:

A negative number

Step-by-step explanation:

I know this is right. Negative numbers represent opposites. If positive represents a movement to the right, negative represents a movement to the left.In the context of negative numbers, a number that is greater than zero is referred to as positive. Thus every real number other than zero is either positive or negative, while zero itself is not considered to have a sign. Positive numbers are sometimes written with a plus sign in front, e.g. +3 denotes a positive three.

3 0

3 years ago

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