You bought a gallon of milk for $5 and four boxes of cereal. You spent a total of $25.
How much did each box of cereal cost. *

Answer: x = 30°

Concept:

Here, we need to know the idea of an isosceles triangle and the vertical angle theorem.

An isosceles triangle is a triangle that has any two of its sides equal to each other. Also, the angles opposite these equal sides are equal, which is basically the base angles.

The vertical angle theorem states that two vertical angles formed when two lines intersect each other are always equal to each other.

Solve:

Find the other base angle of the isosceles triangle.

Since there are two equal sides, we know that this is an isosceles triangle.

Since the definition said that the base angles are equal, the other base angle would also be x.

Find the value of x

According to the vertical angle theorem, two vertical angles formed by intersection are equal.

Just as angle x and 30°, are vertical angles formed by intersection, therefore, [tex]\boxed{x=30}[/tex]

Hope this helps!! :)

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Answer:

t = 7/-4 OR -1 3/4

Step-by-step explanation:

3(t - 3) = 5(2t - 1)​

3t - 9 = 10t - 5

(3t - 3t) - 9 = (10t - 3t) - 5

-9 = 7t - 5

-9 + 5 = 7t (- 5 + 5)

-4 = 7t

-4/-4 = 7t/-4

t = 7/-4 OR -1 3/4

Answer:

a.

MP3 player: 88%

Video game player: 92%

b.

MP3 player: 75 minutes

Video game player: 67 minutes

Step-by-step explanation:

a.

MP3 player

- Already has 40%

- Each 15 minutes additional 12%

--> An hour = (60/15)*12 = 48 (%)

--> After an hour charged = 40 + 48 = 88%

Video game player

- Already has 20%

- Each 10 minutes additional 12%

--> An hour = (60/10)*12 = 72 (%)

--> After an hour charged = 20 + 72 = 92 (%)

b. To charges 100 minutes:

MP3 player

100 = 40 + ((x/15*12)

--> x = 75 (minutes)

Video game player

100 = 20 + ((x/10*12)

--> x = 67 (minutes)

Step-by-step explanation:

For every clockwise 90-degree rotation on a point (x, y), the resulted transformation will be (y, -x).

Now, counterclockwise 270 degree rotation is equivalent to clockwise 90 degree rotation. Then, for instance, point H=(2 ,-1) will be transformed into the image H'=( -1,2)

Step-by-step explanation:

you heard of the Pythagoras formula for rectangular triangles ?

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle), a and b are the other 2 sides touching the 90 degree angle.

so, in your case here we have therefore

x² = 8² + 6² = 64 + 36 = 100

x = sqrt(100) = 10

you know "sqrt" is an international abbreviation for square root : the opposite of squaring a number.

Answer:

I think it is 20

step by step explanation

Multiples of 10:-

18 is closest to 20

Hence our answer is 20

Answer:

The scientist stated her hypothesis, set up a controlled experiment, and isolated the variable that could affect her work.

Answer:

9x^3-3.2x.x

9x^3-3.2x^2

9x^3-6x^2

Step-by-step explanation:

17. 2(a+3b)-3(4a+b)

2a+6b-12a-3b

2a-12a+6b-3b

-10a+3b

correct answer is B.-10a+3b

18. simplify (,3a³-7a²+a)+(-6a³+4a²+8)

3a³-6a³-7a²+4a²+8+a

-3a³-3a³+a+8

correct answer is D. -3a³-3a³+a+8

Answer:

first part is 32 inches, second part is 16 inches, third part is 11 inches.

Step-by-step explanation:

2x + x + x - 5 =  59

4x + 64

x = 16.

we can then plug 16 in first parts expression, 2x, for 32. second part is just x so 16. 3rd part is 5 less, x-5, so 11.

Answer:

The measure of angle C is 92°

Step-by-step explanation:

In a quadrilateral opposite angles are supplementary (Angles add up to 180°)

So since we have two opposite angles already set up the equation:

(x+24)+(x+10) = 180

Combine like terms - x+x+24+10 = 180 → 2x+34 = 180

Cancel out the constant to solve for x: 2x+34-34 = 180-34

Divide both sides by 2 so x is isolated: 2x/2=146/2

Solve: x=73

Now that we know x = 73 we can find angle C by setting up the equation:

Let C represent the unknown angle of ∠C

73+15+C=180

Combine like terms: 88+C=180

Isolate C: 88-88+y=180-88

Solve for C: C=92

Answer:

120

Step-by-step explanation:

6!=1x2x3x4x5x6

3!=1.2.3

Answer:

No solution

Step-by-step explanation:

Distribute the right side of the equation.

This will make it 3/8f+1/2=3/8f - 18

And, since 3/8f plus 1/2 will never equal the same thing as 3/8f minus 18, there are no solutions

Answer and Step-by-step explanation:

First, distribute the 6 to the [tex]\frac{1}{16} f[/tex] and -3.

[tex]\frac{3}{8} f + \frac{1}{2} = \frac{6}{16} f - 18\\\\\frac{3}{8} f + \frac{1}{2} = \frac{3}{8} f - 18[/tex]

If you were to subtract [tex]\frac{3}{8} f[/tex] from both sides of the equation, you would be left with [tex]\frac{1}{2} = -18[/tex], which isn't correct.

This means that there are NO solutions to this equation, or no value of f that will make both sides of the equation equal to each other.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Answer:

C. 76

Step-by-step explanation:

Since the numbers add up by 5, you can use this equation. 5x-4.  Plug in 16 for x to get the answer which is 76.

Answer:

Answer D but read below.

Step-by-step explanation:

The point of tangency is the endpoint of either a radius or a diameter such that only one point of the circumference of the circle is concurrent with the endpoint of the diameter or radius of the circle.

Technically, it is none of them. E should be 180 degrees. That is really a sloppy question.

However I think you are expected to answer F which is answer D.

Answer:

The answer is D.

Step-by-step explanation:

I learned it in school.

Answer:

=(-4+7)/2

=3/2

=1.5 answer

Answer:

At, x=-5

Step-by-step explanation:

(2-4)(x+5)=-2×0

Answer:

Step-by-step explanation:

If Anna's dad is 36 and is 9 times her age, then Anna's age is 36/9 which is 4.

Check yourself: Anna is 4. Her dad is 9 times her age and 4(9) = 36.

Answer:

Y-2x=8

Y-x=8/2

Yx=4

Maths gradients

Answer:

b

Step-by-step explanation:

Answer:

6x-5

Step-by-step explanation:

14x-4- (3x-2)-(5x+3)= 14x-4-3x+2-5x-3= 6x-5

Answer:

8 and 32

Step-by-step explanation:

(19)

x³ ÷ 3 - y ( substitute x = 3, y = 1 into the expression )

= 3³ ÷ 3 - 1

= 27 ÷ 3 - 1

= 9 - 1

= 8

-------------------------------------------------------------

(21)

12k - h² ( substitute h = 2, k = 3 into the expression )

= 12(3) - 2²

= 36 - 4

= 32

Answer:8/25

Step-by-step explanation:

Answer:

Step-by-step explanation:

32/100 = 16/50 = 8/25

Answer:

10

Step-by-step explanation:

g(n) = n² + 4 - n

if g(3), substitute 3 in the (n)

g(3) = 3²+4-3

g(3) = 10

Answer: x = 3

Step-by-step explanation:

[tex]2x-7=\frac{1}{3}x-2\\\\6x-21=x-6\\\\5x-21=-6\\\\5x=15\\\\x=3[/tex]

Answer:

10: a

11: c

Step-by-step explanation:

10. Use the midpoint formula

[tex]\frac{-6+8}{2}[/tex], [tex]\frac{2+9}{2}[/tex] = 1, 5.5

11. 7 + 4 + 4 = 15

(add two fours because N is the midpoint)

Answer:

if the probability is 7:2, then there are 9 possible outcomes

so do 7 divided by 9 and Jim has a 77% chance of winning

Probability helps us to know the chances of an event occurring. The probability that Jim will win is 22.22%.

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Given that the odds against Jim beating a friend at golf are 7:2. Therefore, the ratio of the number of games that Jim's friend wins to the number of games that Jim wins is,

Number of games Jim's friend wins/ Number of games Jim wins = 7/2

Now, the total of games they both play will be 9, which is the sum of 7 and 2. Therefore, the probability that Jim will win is,

Probability (Jim wins) = Number of games Jim wins / Total number of games

= 2 / 9

= 22.22%

Hence, the probability that Jim will win is 22.22%.

Learn more about Probability:

https://brainly.com/question/795909

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