Mathematics High School

Consider the following trapezoid.
Find the value of X.

Answers

Answer 1

Answer:

106º

Step-by-step explanation:

Because both the base angles are 74º. The known angles so far are 148º.

The top angles also have to be equal as they are on parallel lines so:

360 - 148 = 212º

212 / 2 = 106º

Answer 2

Answer:

x = 106 degrees

Step-by-step explanation:

74 plus 74 = 148

360 is the interior angle sum of all trapezoids

360-148=212

212 is the sum of both x and y

x and y are the same measure.

212/2 = 106

Related Questions

Zendaya has $700 to spend at a bicycle store for some new gear and biking outfits. assume all prices listed include tax. she buys a new bicycle for $242.33. she buys 3 bicycle reflectors for $7.17 each and a pair of bike gloves for $33.68. she plans to spend some or all of the money she has left to buy new biking outfits for $77.40 each. write and solve an inequality which can be used to determine xx, the number of outfits zendaya can purchase while staying within her budget.

Answers

Answer:

she could buy 5 outfits

Step-by-step explanation:

you multiply 7.17 by 3 = 21.51

700 - 21.51 = 678.49

678.49 - 242.33 = 436.16

436.16 - 33.68 = 402.48

402.48 divided by 77.40 = 5

The table below represents a breakdown of food costs for Robert, a traveling
salesman. How much did he spend in total for food on Friday?
A. $45.94
B. $40.80
C. $42.56
D. $41.23

Answers

The amount that he spend in total for food on Friday will be $ 40.80. Then the correct option is C.

What is the addition of the numbers?

The sum is also know as addition.

The table below represents a breakdown of food costs for Robert, a traveling salesman.

The amount that he spend in total for food on Friday will be

→ 13.30 + 10.76 + 16.74

→ $ 40.80

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Answer:

44.98

Step-by-step explanation:

-2x + 4y = 12

5x - 2y = 10

To answer please type altogether with no spaces. For example if your answer is negative three positive four, type (-3,4)

Answers

Answer:

(4,5)

Step-by-step explanation:

-2x + 4y = 12

5x - 2y = 10

make them both set to y

4y = 2x + 12 -> y = 1/2x + 3

2y = 5x - 10 -> y = 5/2x - 5

since they're both equal to y, they are equal to each other

1/2x + 3 = 5/2x - 5

2x = 8

x = 4

plug it back in to get y

y = 1/2 (4) + 3

y = 5

I’ll give brianliest to anyone who can help me.

Answers

Answer:

the graph cannot represent a function because there are multiple (and likely infinite) places where y has changed but x remains the same

Step-by-step explanation:

what’s -12/2 simplified

Answers

Answer:

= -6

Step-by-step explanation:

-12/2

= -6

Answer= -6

Step by Step explanation= -12/2= -6

Of the trains that recently pulled into Westford Station, 16 were full and 4 had room for more passengers. What is the experimental probability that the next train to pull in will be full?

Answers

The experimental probability that the next train to pull in will be full is [tex]\rm \frac{4}{5}[/tex]. Probability is the ratio of the favorable event to the total number of events.

What is probability?

Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.

The experimental probability that the next train to pull in will be full is found as;

[tex]\rm P= \frac{Favourable}{Total \ outcomes } \\\\\ P(full)= \frac{16}{16+4} \\\\\ P(full)=\frac{16}{20} \\\\ P(full)= \frac{4}{5}[/tex]

Hence, the experimental probability that the next train to pull in will be full is [tex]\rm \frac{4}{5}[/tex].

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Investments increase exponentially by
26% every 3 years. If you start with a
$2,000 investment, how much money would you have after 45 years?
would you have after 45 years?
First, complete the equation:
Future Amount = 2,000 (1 + [?])
Enter

Answers

The amount of money I would have after 45 years with an exponential increase is $64,060.18.

What is the future value of $2000?

The formula for calculating future value:

FV = P (1 + r)^n

FV = Future value

P = Present value R = interest rate N = number of years = 45 / 3 = 15 years

$2000 x (1.26)^15 = $64,060.18

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x + 10
Find the value of x

Answers

Answer:

Step-by-step explanation:

Comment

All triangles have 180 degrees. In this triangle, there is 1 ninety degree angle. The other two are related.

Equation

x + x + 10 + 90 = 180 Combine the left

Solution

2x + 100 = 180 Subtract 100 from both sides

2x+100-100 = 180-100

2x = 80 Divide by 2

2x/2 = 80/2

x = 40

Answer

x = 40

x + 10 = 40 + 10 = 50

Frank finished his homework at 8:45. If he started working on it at 6:45, how long did it take him to finish

Answers

Answer:

2 hours

Step-by-step explanation:

8:45-6:45=2:00

what property is illustrated by the statement 3+z=z+3???

Answers

Answer: Commutative Property of Addition

Explanation:

This is the rule which says that we can add two numbers in any order.

For example, 3+2 = 2+3 since both sides result in 5. The rule can be extended to involve variables, because variables are placeholders for actual numbers. Also, the rule can be extended to any number of terms and not just two.

A more generalized form of the rule could be something like x+y = y+x

What is the product of 0 and any number?

Answers

Answer:

It will always be 0 because the rule is anything times 0 is 0

Answer:

Step-by-step explanation:

Hey there!

The product of any number and 0 is zero

To explain why this is, just think of it visually

So lets say we are visually explaining 7 x 3

Here is a visual explanation

There are 7 strawberries

You take 7 more strawberries

You take 7 more strawberries again

This means that you are taking 7 strawberries 3 times thereby forming the equation, 7 x 3

Now lets say a numeber [tex]x[/tex] times zero is equal to what

Well we can visualize this again

There are [tex]x[/tex] strawberries in a group

You are taking zero of those groups

Meaning there are no groups

So if there are no groups

There are no strawberries

Meaning [tex]x[/tex] times zero is zero

Since [tex]x[/tex] is any number, the statement, the product of 0 and any number is 0 is true

This is why the product of 0 and any number is 0

The flight path of a rocket, launched from the ground, is modeled by y = 0.5(20x – x2), where y is the height of the rocket in feet from the ground and x is the time in seconds after it was launched. Find the vertex of the parabola and explain what it represents in terms of the context.

a. (20, 0); rocket lands at 0 feet after 20 seconds
b. (10, 50); rocket reaches maximum height of 50 feet after 10 seconds
c. (10, 50); rocket reaches maximum height of 10 feet after 50 seconds
d. (20, 0); rocket reaches 20 feet after 0 seconds

Answers

Answer: B. (10, 50)

Step-by-step explanation:

y = 0.5(20x - [tex]x^{2}[/tex])

[tex]y=-\frac{1}{2} x^{2} + 10x[/tex]

to find x coord of vertex use the equation

[tex]\frac{-b}{2a}[/tex]

[tex]x=\frac{-10}{-1} \\\\x=10[/tex]

plug in x to the original equation

y = 0.5(20(10) - [tex](10)^{2}[/tex]

y = 0.5(100)

y = 50

Answer: (10, 50)

work out the height of this triangle with a base,B=2.1mm and an area of, A=39.06mm squared

Answers

Answer:

37.2mm

Step-by-step explanation:

A = ½bh

h = (2A)/b

h = (2(39.06))/2.1

h = 78.12/2.1

h = 37.2mm

juan went to the sporting goods store. he spent $14 on a batting glove. he spent half of the remaining money on a football. later, he spent $2 on a sports drink. if he had $10 left, how much money did juan take to the sporting goods store? how much did he spend on the football?

Answers

Answer: 38 dollars

Step-by-step explanation:

work in reverse (include dollar sign in your answer, I can't get it on my keyboard)10 + 2 = 1212 x 2 = 2424 + 14= 38

the distance midpoint between A (-6, 8) & B (6, -2)

Answers

Answer:

I think 2

Step-by-step explanation:

6-2is 4 8-6 2 both have common 6 and 2 multiple of 6is 2

Mrs. norris is assigning the line up of the trumpet players in the parade. tell whether the events are dependent or independent. explain your answer.

event a: kadonna is chosen to be the first trumpet player in line

event b: jerome is chosen to be the second trumpet player in line

a: the choice of the first trumpeter does not affect the choice of the second, so the events are independent.

b: the choice of the first trumpeter does not affect the choice of the second, so the events are dependent.

c: the person chosen to be first cannot also be second, so the events are independent.

d: the person chosen to be first cannot also be second, so the events are dependent

Answers

The event A is an independent event while the event B is a dependent event.

How to find dependent or independent events?

An independent event is one that is not affected by the occurrence of other events while a dependent event is one that is affected by the occurrence of another event.

Event A is an independent event because the first player does not have to wait for any player before he plays.

However, event B is a dependent event as Jerome has to wait for for the first player to play before he can play.

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Helpppppppppppppppppppp

Answers

Answer:

See below ~

Step-by-step explanation:

y = (x + 3i)(x - 7)y = x² + 3ix - 7x - 21y = x² + (3i - 7)x - 21

y = (x - √5)(x - i)y = x² - √5x - ix + √5iy = x² - (√5 + i)x + √5i

If f(x) => x2 +6, what is the value of f(8)?

Answers

Answer:22

Step-by-step explanation: since f(8) so x=8

substitiuting x in 2x+6

f(8)= 2x8+6=22

so f(8)=22

Hope this helps! :)

The average age of 3 girls is 17years 4month. the average age of 2 of them is 17years 3month. how old is the third girl

Answers

Answer:

1 month old

Step-by-step explanation:

17.4-17.3=.1

that would be 1 moth

Is y=x(x+3) a linear function?

Answers

Step-by-step explanation:

No. If you distribute the 'x', you get:

[tex]y = {x}^{2} + 3x[/tex]

The function is quadratic due to the exponetial term of x^2

No bc then it would be x squared

Help pls

Two digits of the 6-digit number X = 345 * 8* are missing. Fill in the missing digits
so that the number obtained is the smallest possible number that is divisible by 45.
Find X.

Answers

The smallest possible number that is divisible by 45 when the blanked place of the number is filled is 345285.

What is the divisible rule of 9 and 5?

The divisible rule of 9 and 5 are:

Divisible rule of 9- When the addition of all number is divisible by 9, then that number also divisible by 9.Divisible rule of 5- When a number has a digit 0 or 5 in the last of it, then that number also divisible by 5.

Two digits of the 6-digit number are missing.

[tex]X = 345 * 8*[/tex]

The smallest possible number from this is divisible by 45. The factors of 45 are 9 and 5.

[tex]45=9\times5[/tex]

Thus, the 6-digit number which is divisible by 45, must be divisible by 9 and 5.

To be divisible with 5, the number has 0 or 5 in last. So the numbers can be,

[tex]X = 345 * 85\\X=345 * 80[/tex]

For first number, when the blank is filled with number 2 to make sum 9 and for second the blank number should be 7. Thus, the numbers,

[tex]X = 345 285\\X=3457 80[/tex]

Thus, the smallest possible number that is divisible by 45 when the blanked place of the number is filled is 345285.

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please help meeeeeeeeeeeeeeeeeeeee

Answers

Answer
10) f^9• f^3/ f^4= f^8

Answer the question below. Type your response in the space provided. Polygon ABCD is translated to create polygon A′B′C′D′. Point A is located at (1, 5), and point A′ is located at (-2, 1). What is the distance from B to B′ ?

Answers

The distance from B to B is 5.

This is because the distance between the original and new coordinates would remain the same. This is because it is done by translation and not because of the rotation. The distance between the two will still remain as 5.

Sydney walked 3/4 mile on Monday
5/8 mile on Tuesday, and 1/2 mile on
Wednesday. How far did she walk
Monday through Wednesday?
A 1 1/2 mi
B 1 3/4 mi
C 1 7/8
D 2 1/4

Answers

Use similar denominators
3/4= 6/8
5/8= 5/8
1/2 = 4/8
6+5+4 = 15
15/8= 1 7/8
So the answer is C

Estimate 17.26+4.556 by first rounding each number to the nearest tenth. I need help

Answers

Answer:

21.9

Step-by-step explanation:

When rounding to the nearest tenth, we are rounding to 1 decimal place.

If the number in the hundredth place is 5 or more, we round up.

If the number in the hundredth place is less than 5, we round down.

17.26 rounded to the nearest tenth is 17.3

as 6 is in the hundredth place, so we round 2 tenths up to 3 tenths.

4.556 rounded to the nearest tenth is 4.6

as 5 is in the hundredth place, so we round 5 tents up to 6 tenths.

Therefore, 17.3 + 4.6 = 21.9

Please help with this, Thank You.

Answers

Answer:

[tex]x = 12[/tex]

Step-by-step explanation:

[tex]3x + 9 = 5x - 15[/tex]

[tex]2x = 24[/tex]

[tex]x = 12[/tex]

0.7x-3.2=1.7
WHAT IS THIS

Answers

Answer:

1.7

Step-by-step explanation: Combine multiplied terms into a single fraction

Answer: Heyaa! ~

Your Answer for X = 7

Step-by-step explanation:

How to solve:

Combine multiplied terms into a single fractionFind common denominatorCombine fractions with common denominator

Hopefully this helps you! ^

D is Midpoint of CE

C = (-5,?) D = (3,10) E = (?,8)

Answers

Answer:
C = (-5,12) E = (11,8)
Step-by-step explanation:
The difference between -5 and 3 is 8, so add 8 to the midpoint (3), and it's 11
The difference between 10 and 8 is 2, so add 2 to the midpoint (10), and it's 12

look at the image below lol

Answers

Answer:

1.7.

Step-by-step explanation:

2x^3 + 9x^2 - 2x + 8 = 40

Substituting values for x in the range 1 to 2:

when x = (1.1):

f(1.1) = 2(1.1)^3 + 9(1.1)^2 - 2(1.1) + 8 = 19.32.

x = 1.3:

f(1.3) = 25.004

F(1.5) = 32

F(1.6) = 36.032

F(1.7) = 40.436 which is just greater than 40.

So the root is between 1.6 and 1.7.

f(1.65) = 38.19

Therefore the root is > 1.65 and < 1.7

and to 1 DP it is 1.7.

(Screenshot included need answer quick assignment due today) Select the graph that matches the equation y = 8
5
10
x + 9.

Answers

Answer:

Step-by-step explanation:

Since the y-intercept is 9 look at the graphs and see which one has the point (0,9) and its gonna be the answer

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Consider the following trapezoid. Find the value of X.

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Consider the following trapezoid.
Find the value of X.