Use the relationships between the angles to find the value of x.
102°
x+15%
=
degrees

Answer Mr. Gerard speed was at most 25 miles per hour before the curve

Step-by-step explanation:

How to solve the speed Mr. Gerard was driving before the curve

Let’s just assume that Gerard went exactly the speed limit 15 miles per hour (mph) after when he slowed down by 10 miles per hour and drove around the curve. The reason why I’m using exactly 15mph is because it’s the max speed he can go. He can go 15 miles per hour and still be safe, but it’s just that he can’t go any faster than that.

Now, you can do 15 + 10 to find the speed he went before he drove around the curve. So, that would be 25mph before he drove around the curve.

You might be asking: What if he went slower than 25mph before he drove around the curve, and what if he went faster than 25mph?

-When he drives exactly 25mph and slows down by 10mph when he makes the turn around the curve, he’s going exactly 15mph which it safe for him because it’s not faster than 15mph.

-It could be possible that he went slower than 25mph before he drove around the curve, but he still will be safe because when he makes the turn around the curve and slows down by 10 miles per hour, now he’ll reach below 15 miles per hour which is even safer for him. Here’s an example for you to understand: Let’s say he drove 23mph before the curve (which is less than 25mph). As soon as he makes the turn around the curve, he slows down by 10mph. So after he goes around the curve, he’s going 13mph, which is less than the speed limit 15mph. You can take any number less than 25mph and he’ll still be safe because it will be less than 15mph.

-Now, if he went faster than 25mph, he wouldn’t be safe anymore because after when he slows down by 10mph and goes around the curve, he’ll be above the speed limit of 15mph. Here’s an example for you to understand: Let’s say he drove 27mph before the curve (which is faster than 25mph). As soon as he makes the turn around the curve, he slows down by 10mph. So after he goes around the curve, he’s going 17mph, which is faster than the speed limit 15mph.

Answer: Mr. Gerard speed was at most 25 miles per hour before the curve

Graphing it

A way to graph this is to write out a compound inequality. You can write it as:

0 < y ≤ 25  ⇒ Where any speed has to be less than or equal to 25 miles per hour, because 25 miles per hour is the most/biggest speed Mr. Gerard can drive. But it has to be greater than 0 because you can’t go negative miles per hour, or 0 miles per hour

The graph is shown below ↓

I don’t know what graph you want, or how your teacher wants you to graph it. So I put two options for you :)

I hope you understand and that this helps with your question! :)

Answer:

30 minutes

Step-by-step explanation:

if she earns 10 minutes per hour and there are 3 hours, 10 times 3 is 30

Answer:

30

Step-by-step explanation:

Answer: 1.C 2.B

Step-by-step explanation:

Answer:

noooooooooooooo to show and see

Answer:47791.31

Step-by-step explanation:

Answer:

11g + 19

Hope this helps

Step-by-step explanation:

Answer:

It can be also written as  11g+19.

Step-by-step explanation:

First, you would add the numbers with the 'g'

11g+7+12

then you would add the regular numbers.

11g+19

Answer:

160,000

Step-by-step explanation

[tex]2^{2} X 4^{3} X 5^{4}[/tex]

2 x 2 = 4

4 x 4 x 4 = 64

5 x 5 x 5 x 5 = 625

4 x 64 x 624 = 160,000    

Answer:

1.25 per pound

Step-by-step explanation:

Answer: x = 4

Step-by-step explanation:

   x/2=10/5

Multiply both sides of the equation by 2.

2⋅  x/2 = 10 /5 ⋅ 2

Simplify both sides of the equation.

Cancel the common factor of 2.

Rewrite the expression.

x= 2 ⋅ 10/5

Divide 10 by 5.

x= 2 ⋅ 10/5

Multiply 2 by 2.

x = 2 ⋅ 2

x = 4

please give brainiest :)

Answer:

Step-by-step explanation:

the bag of oranges is 8/8

they ate 3/8

8/8-3/8=5/8 left

Answer:

D. 32 feet

Step-by-step explanation:

A tree is 12 feet tall and casts a 9-foot shadow.

The shadow is 3/4 the length of the tree (9/12 = 3/4).

We know the shadow of a nearby building is 24 feet long.

That would be 3/4 of the height of the building.

So, fidn the reciprocal of 3/4 (4/3) and multiply by 24.

24/1 * 4/3

Cross-cancellation

8/1 * 4/1

8 * 4

The building is 32 feet tall, which is D.

Answer:

x≤16

Step-by-step explanation:

Answer:

x=16

Step-by-step explanation:

2x-4<28

add 4

2x=<32

divide by 2

32 is greater than or equal to 16

Answer:

I believe it should be 216.54

Step-by-step explanation:

Multiply $200.5 by .08 (the tax) and then add the answer from the multiplication to the $200.5.

A percentage is a way to describe a part of a whole. The cost of a bicycle with tax included is $216.54.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given Megan bought a bicycle that cost $200.50 at a sporting goods store. The sales tax on the bicycle was 8%. Therefore, the total cost will be,

Total cost = $200.50 + 8%

                = $200.50 + (0.08 × $200.50)

                = $216.54

Hence, the cost of a bicycle with tax included is $216.54.

Learn more about Percentages:

https://brainly.com/question/6972121

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Answer:

Step-by-step explanation:

The angle of a line is 180 degrees. A right angle is 90 degrees, and the given angle is 55 degrees. All you have to do is add 90 and 55, and subtract that sum from 180.

Answer: y = − 3/2 x + 8

Step-by-step explanation:

Find the Perpendicular Line

Solve −2x + 3y = −6.

y = −2 + 2x/3

Find the slope when y = −2 + 2x/3 .

m = 2/3  

The equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope.

[tex]m[/tex] perpendicular = [tex]-\frac{1}{\frac{2}{3} }[/tex]

Simplify to find the slope of the perpendicular line.

perpendicular = −3/2

Find the equation of the perpendicular line using the point-slope formula.

y + 1 = − 3/2

⋅ (x − 6)

Write in y = mx + b form.  

y = − 3/2 x + 8

Answer:

(1, 2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Step-by-step explanation:

Step 1: Define Systems

-4x + 9y = 14

12x - 10y = -8

Step 2: Rewrite Systems

-4x + 9y = 14

Step 3: Redefine Systems

-12x + 27y = 42

12x - 10y = -8

Step 4: Solve for y

Elimination

Step 5: Solve for x

Step-by-step explanation:

HERE,

two equation are,

●-4x+9y=14••••••••••••(equation I)

●12x-10y=-8•••••••••••(equation II)

First multiplying 3 in equation I

we get,

[tex]\bold{3×(-4x+9y=14) }[/tex]

=[tex]\bold{ -12x+27y=42 }[/tex]••(equation III)

Then,

we combine the equationii and equation III.

we get that,

[tex]\bold{12x-10y-12x+27y=-8+42 }[/tex]

[tex]\bold{\cancel{12x}-10y\cancel{-12x}+27y=-8+42 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{17y=34 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ y=\dfrac{34}{17} }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\boxed{ y=2 }[/tex]

Then,

put the value of y in equation II.

WE get,

[tex]\rightsquigarrow[/tex] [tex]\bold{12x-10×2=-8 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x-20=-8 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=-8+20 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ 12x=12 }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\bold{ x=\dfrac{12}{12} }[/tex]

[tex]\rightsquigarrow[/tex] [tex]\boxed{ x=1 }[/tex]

So,

solution of the two equation (-4x+9y) and (12x-10y=-8) is (1,2)

Answer:

[tex]x=26\\[/tex]

Step-by-step explanation:

The sum of the interior angles of a triangle add up to [tex]180^{\circ}[/tex]. Therefore, an equiangular triangle will have each of its angles equal to [tex]60^{\circ}}[/tex]. We can then set up the following equation:

[tex]2x+8=60, \\2x=52, \\x=\fbox{$26$}[/tex].

Answer: x=10

Step-by-step explanation:

Answer:

Fugi=$1.50 per apple, Gala=$1.60 per apple. Fugi are cheaper

Answer:

Fuji apples are better because they only cost $1.50

Answer:

The answer is 1/36

Step-by-step explanation:

The probability that it will land on 1 at any time is 1/6

So for the first time we have 1/6

For the second time, we have 1/6

For the both times, we have

1/6 * 1/6 = 1/36

Complete question :

Jason makes a fruit salad using only strawberries and blueberries. The ratio of strawberries to blueberries in Jason's fruit salad is 4 cups to 5 cups.

Options is in the attached picture

Which statement describes the contents of Jason's fruit salad?

Answer:

Blueberry makes up 5/9 of the fruit salad

Step-by-step explanation:

Ratio of strawberries to blue berries is 4cups to 5 cups

Hence, in a fruit salad makeup ;

We can say we have 4 cups of strawberry for every 5 cups of blue berry

Fraction of strawberry and blueberries :

Total ratio = (4 + 5) = 9

Fraction of strawberry = 4/ 9

Fraction of blueberry = 5/9

Hence, from the option  , the statement ;

Blueberry makes up 5/9 of the fruit salad is true since both are the only ingredients used

Answer:

The answer is A

Step-by-step explanation:

Use the form y = mx + b for your answer.  Since 32 is the starting point, it will represent b.  b represents the y intercept.  Since the temperature decreases every hour, the second part of the equation would -2h.  So, if you put it together, the final equation is y = -2h + 32.

Step-by-step explanation:

[tex] \frac{11}{4} [/tex]

[tex] \frac{4}{11} \times \frac{11}{4} = \frac{44}{44} = 1[/tex]

if it's helpful ❤❤❤

THANK YOU.

Answer:

8 Possible Combinations

Step-by-step explanation:

Trust me my guy

Answer:

8

Step-by-step explanation:

Answer:

440 square inches

Step-by-step explanation:

5 x 8 x 11 = 440