The triangle and the trapezoid share a 15-inch base and a height of 10 inches. A. The area of the trapezoid is less than twice the area of the triangle. Find the values of x. Explain your reasoning.

Answers

Answer 1

Answer:

Possible values of x are whole numbers that are lesser than 15 inches

Step-by-step explanation:

We are given;

Base; b = 15 inches

Height; h = 10 inches

Formula for area of triangle is;

A_tria = ½bh

A_tria = ½ × 15 × 10

A_tria = 75 Sq.in

Now, formula for trapezoid is;

A_trapez = ½(a + b)h

Where a is the side parallel to the base.

We are told that the area of the trapezoid is less than twice the area of the triangle.

Thus;

½(a + 15)10 < 2(75)

Simplifying;

5(a + 15) < 150

Divide both sides by 5 to get;

a + 15 < 150/5

a + 15 < 30

Subtract 15 from both sides to get;

a < 30 - 15

a < 15

Possible values of x are whole numbers that are lesser than 15 inches


Related Questions

PLS PLS PLS HELP MEEEEE HIGH POINTS PLS ANSWER CORRECTLY I NEEEED U


In parallelogram WXYZ, the shorter sides are half the length of the longer sides.


Parallelogram W X Y Z. The length of sides W X and Z Y are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to Angle W.


Which statements are true? CHECK ALL THAT APPLY.

A. Quadrilateral WXYZ is a rectangle.

B. The quadrilateral has opposite sides that are parallel.

C. The quadrilateral has opposite angles that are congruent.

D. If W X = 12 in., then X Y = 6 in.

E. Side WZ must be 12 inches.

F. mAngle Z = measure of angle X

G. Measure of angle W = 120 degrees

H. Measure of angle Z = 120 degrees

Answers

Answer:

B

E

H

I think this is right

For the given parallelogram following statements are true

B. The quadrilateral has opposite  sides that are parallel

F. Measure of angle Z = Measure of angle X

G. Measure of angle of W =120 degrees

What is parallelogram?

A parallelogram is a simple quadrilateral with two pairs of parallel sides

Given,

Shorter sides are half the length of the longer sides. Length of he side WX and ZY are 12 inches. Angle Y is 120 degrees. Angle Y is opposite to angle W

Draw the figure using the the data

Using the figure we can say that

The quadrilateral has opposite  sides that are parallel

Measure of angle Z = Measure of angle X

Measure of angle of W =120 degrees

Hence, the correct options are B,F and G

Learn more about parallelogram here

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4. If you are given that plq and p || r,
what can you conclude about lines q and r?
State the theorem that justifies that conclusion.

Answers

What I don’t get that

PLEASE HELP W MATHHHH

Answers

Answer:

(15m^2 + 5)

Step-by-step explanation:

(m2 - 3m + 19 ) + (2m2 + m) + (4m2 - 7) + (2m2 + m) + (4m2 - 7) + (2m2 + m)

15m2 + 0m + 5

=> 15m^2 + 5

Answer:

try adding all the sides up

Step-by-step explanation:

What is an equation of the line with a y-intercept of `-5` and a slope of -3/5?

Answers

Answer:

Step-by-step explanation: 5=-3/5 that is how it is written in slope form.

Jodie bought a refrigerator on sale for 35% off the original price, for $97. What was the price of the refrigerator before the sale?
I need help

Answers

Answer:

$149

Step-by-step explanation:

As it is 35% off, $97 is therefore 65% of the full price [because 100 -35 = 65].

You can then divide 97 by 65 [1.49 to 2 d.p] to get 1% of the full price. 100% is the full price so we multiply 1.49 by 100 and the result of that is 149.

In the fraction 7/8 , the Numerator Denominator is 7.

Answers

Answer:

The numerator

Step-by-step explanation:

numerator is the top

denominator is the bottom

convert 3 √5^2 to fraction

Answers

Answer:

15 (simplified)

Step-by-step explanation:

( − .3 s − 2 ) + 2 ( 5 − 3.4 s )

Answers

Answer:

−7.1s+8

Step-by-step explanation:

First Distribute

=−0.3s+−2+(2)(5)+(2)(−3.4s)

=−0.3s+−2+10+−6.8s

Combine Like Terms:

=−0.3s+−2+10+−6.8s

=(−0.3s+−6.8s)+(−2+10)

=−7.1s+8

Answer:

7.1

s

+

8Step-by-step explanation:

−7.1s+8

What is the measure of angle b?
A) 54
B) 46
C) 126
D) 136

Answers

a. 54° because opposite angles (i forgot the actual term) are equal
C. 126 bc you add up to 180 so I subtract 54 to 180 and got 126

spimplyfy 2x+4-3x+2+3x2 x + 4 − 3 x + 2 + 3 x

Answers

Answer:

12x + 12  

Step-by-step explanation:

2x+4-3x+2+3x(2)+x+ 4 − 3 x + 2 + 3 x

Solve 3x(2) = 6x

Next combine like terms

Like terms:

2x + 3x + 6x + 1x + (-3x) + 3x = 12x

4 + 2 + 4 + 2 = 12

Rewrite simplified

12x + 12  

^^This is the correct answer assuming that 3x2 x is 3x(2) + x

which is the correct curve for y=3/x

What is b) please help I will give 5 points or even all of them. PLEASE PLEASE PLEAS HELP!!!!!​

Answers

Answer:

A

Step-by-step explanation:

If we evaluate 3/x at x=1, we get 3/1 = 3.

The only one that showed that is graph A, and we can further check by evaluating other points, such as when x = 1/2, y = 6, and that's shown on graph A.

If this helped, consider giving brainliest.

Graph A, correctly represents the function y = x/3.

What is a graph?

The set of ordered pairings (x, y) where f(x) = y makes up the graph of a function.

These pairs are Cartesian coordinates of points in two-dimensional space and so constitute a subset of this plane in the general case when f(x) are real values.

From the table of y = 3/x,

The value of (x, y) are (0.5, 6), (1, 3), (2, 1.5), (3, 1) and (4, 0.75).

Now, Observe graphs A, B, and C.

Graph A, when x = 0.5, y = 6, when x = 1 y = 3 so graph A matches with our table.

learn more about graphs here :

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Evaluating Expressions
Evaluate the expressions for the given value and match them with the simplified answer.
5 - x/3 for x = -3
2
- 2 + 2x/3 for x = 6
6
2 - 3x4 for x = 4
0
-3 + x/2 for x = 6
-1
() Intro
Done

Answers

1) 6
2) 2
3) -1
4) 0

+++

Evaluating the given expressions and simplifying the answers, we would have:

1. 6

2. 2

3. -1

4. 0

How do you Evaluate an Expression?

To evaluate an expression, plug in the value of the variable given and simplify.

Thus:

1. 5 - x/3 for x = -3

Substitute x = -3 into the expression

5 - (-3)/3 = 5 - (-1) = 6

2. - 2 + 2x/3 for x = 6

-2 + 2(6)/3

-2 + 4

= 2

3. 2 - 3x/4 for x = 4

2 - 3(4)/4

2 - 3

= -1

4. -3 + x/2 for x = 6

-3 + 6/2

-3 + 3

= 0

Therefore, evaluating the given expressions and simplifying the answers, we would have:

1. 6

2. 2

3. -1

4. 0

Learn more about evaluation of expression on:

https://brainly.com/question/3590570

Help me solve this problem please

Answers

Answer:

y = -2x + 17

Step-by-step explanation:

y has to equal 5:

incorrect

y = -2x - 17

y = -2(6) - 17

y = -12 - 17

y = -29

incorrect

y = -2x - 16

y = -2(6) - 16

y = -12 - 16

y = -28

incorrect

y = -2x + 16

y = -2(6) + 16

y = -12 + 16

y = 4

correct

y = -2x + 17

y = -2(6) + 17

y = -12 + 17

y = 5

if i = √-1, then i^2 = ?

Answers

i^2 = -1
Because if i is square root of -1, squared would take out the square root

Ik it’s a bit confusing with my wording

The imaginary unit i is exactly defined as a number that gives -1 when squared.

So, by its very definition, you have the attachment I have attached as an answer.

Algebra 1
S.4 Find the slope from
Find the slope of the line that passes through (3, 4) and (10, 1).
Simplify your answer and write it as a proper fraction, improper fraction, or Integer.
Submit

Answers

Answer:

-3/7

Step-by-step explanation:

slope = (y2-y1)/ (x2-x1) = 4-1/3-10 = 3/-7

help i’m timed pllzzzzz

Answers

Answer:

[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]

Step-by-step explanation:

The standard form of trinomial is given as:

[tex]ax^2+bx+c[/tex]

And the factored form is:

[tex](px+r)(qx+s)[/tex]

In order to find the values of a,b and c in terms of p,q,r and s we will take the factored form, multiply it and then compare it with the standard form.

So,

[tex](px+r)(qx+s)\\=px(qx+s)+r(qx+s)\\= pqx^2+psx+qrx+rs\\= pqx^2+(ps+qr)x+rs[/tex]

Now comparing it with the standard form of trinomial

We will compare the co-efficients of x^2, x and the constant

By comparing, we get

[tex]a = pq = p*q\\b = ps+qr = (p*s)+(q*r)\\c = rs = r*s[/tex]

Hence,

[tex]a = p*q\\b = (p*s)+(q*r)\\c = r*s[/tex]

Please help me with my work

Answers

Answer:

top left is "same" top right is "parallel"

Choose whether the probability is mutually exclusive or not
answer choice is:
mutually exclusive or not mutually exclusive

P(A) = 2/5 P(B) = 1/2 P(A or B) = 9/10

Answers

9514 1404 393

Answer:

  mutually exclusive

Step-by-step explanation:

The formula of interest is ...

  P(A or B) = P(A) + P(B) - P(A and B)

Filling in the given values, we have ...

  9/10 = 2/5 + 1/2 - P(A and B)

Solving for P(A and B), we get ...

  P(A and B) = 2/5 +1/2 -9/10 = 4/10 +5/10 -9/10

  P(A and B) = 0

__

Events are mutually exclusive when they can never happen at the same time. That is, P(A and B) = 0.

The events A and B are mutually exclusive.

How do I get the answers down below? Could anyone help me? I will give brainliest and 25 points :)))
In the figure below, the horizontal lines are parallel. Find the measure of the labeled angles: 2y+2 and 4y-2

THE ANSWERS ARE:
(2y+2)=62degrees
(4y-2)=118degrees
y=30

Answers

Answer:

Step-by-step explanation:

The angles that you have shown are called same side exterior angles.

All same side exterior angles add to 180 degrees

Since we know this, we can make the following equation:

2y+2+4y-2=180

6y=180

y=30

To get each angle you can plug in y:

2*30+2=62

4*30-2=118

I hope this helps :)

If B is in the interior of ∠DEF, m∠DEB = 27.2, and m∠DEF = 92.5, find m∠BEF. (Lesson 2-7)

Answers

Answer:

m∠BEF = 65.3°

Step-by-step explanation:

Given:

m∠DEB = 27.2,

m∠DEF = 92.5

Required:

m∠BEF

SOLUTION:

Since B is the interior of ∠DEF, it means ∠DEB and ∠BEF are adjacent angles that make up ∠DEF. And they share the same side, BE.

Therefore:

m∠BEF + m∠DEB = m∠DEF (angle addition postulate)

m∠BEF + 27.2 = 92.5

Subtract 27.2 from each side

m∠BEF + 27.2 - 27.2 = 92.5 - 27.2

m∠BEF = 92.5 - 27.2

m∠BEF = 65.3°

Answer:

92.5 and 27.2 and 65.3 will be the answer.

4) What type of angle pair are A. vertical angles
B. supplementary angles
C. adjacent angles
D. linear pair

Answers

Answer:

C. adjacent angles

Hope this helps also please mark brainliest :)

The inside of an ice cream scoop...

Answers

Answer:

D

Step-by-step explanation:

I cannot assure you this, because it is extremely hard for me too. It is my best guess.

Plz mark as brainliest!!!

BRAINLY FOR RIGHT ANSWER AND STEP BY STEP LOTS OF POINTS BTW
A car’s fuel economy E(miles per gallon) is given by the formula E=mg, where m is the number of miles driven and g is the number of gallons of fuel used.
Solve the formula for m.
If Sally’s car has an average fuel consumption of 30 miles per gallon and she used 9.5 gallons, how far did she drive?

Answers

Answer:

60 miles

Step-by-step explanation:

Avery owns a small business selling ice-cream. She knows that in the last week 6
customers paid cash, 48 customers used a debit card, and 16 customers used a credit
card.
If next week, she is expecting 400 customers, about how many would you expect to
pay with a credit card? Round your answer to the nearest whole number.

Answers

Answer:

About 91 customers would be expected to pay with a credit card.

Step-by-step explanation:

Well you have ro set up a ratio of 16/70 = x/400

This way the amount of people that used a credit card out of all of the people that came and you can figure out the amount of people that will use a credit card out of the 400 people that are expected tho come. You multiply like a butterfly. 70 times x and 400 by 16. Then you will get 6,400=70x divide both sides by 70 and get 91.42=x so if ypu round, 91 people are expected to pay using a credit card out of the 400 customers that are expected to come.

if possible can you include your method? :)

Answers

Step-by-step explanation:

11/15 = 73.333/100

73.333/100 = 0.73333

0.73333 = 0.73 (2sf/2dp)

Answer:

73/100

Step-by-step explanation

Since 0.73 =11/15 is false, there is no solution.

No solution

0.73  is the same as  73/100

so the answer is

73/100

in decimal form is 0.73

Find the length of the arc on a circle with a radius of 7 centimeters and a central angle of 74 degrees

Answers

Answer:

Length of arc: 9.04cm

Step-by-step explanation:

Circumference = pi x diameter (or radius times 2 in this case)

C = pi x (7 x 2)

C = pi x 14

C is equal to around 43.98cm

In order to find the length of the arc, you use the central angle and turn it into a fraction, and then multiply that fraction by the circumference.

74 degree angle/ 360 degrees --> 74/360

74/360 x 43.98 = 9.04cm

Zuri is stuck in traffic. She notices that she only drove 3 miles in 15 minutes. Find Zuri's speed in miles per minute. Express your answer as a decimal (which will be less than 1).

Answers

Answer:

0.2 miles per minutes

Step-by-step explanation:

We are expected to solve for speed with which  she moves

Step one:

given data

distance = 3 miles

time taken t= 15 minutes

Step two:

we know that speed is

Speed= distance/time

Speed= 3/15

Speed= 1/5

Speed=0.2 miles per minutes

A stadium charges $75 for each seat in section A, $50 for each seat in section B, and $40 for section C. There are three times as many seats in section B as in section A. The revenue from selling odd 20,000 seats is 897,500. Write a system to represent the situation.

A. b=3×c
a+b+c=20,000
75a+50b+40c=897,500

B. b=3×a
a+b+c=20,000
75a+50b+40c=897,500

C. a=3×b
a+b+c=20,000
40a+50b+75c=897,500

D. a=3×b
a+b+c=20,000
75a+50b+40c=897,500​

Answers

Answer:

B. b=3×a

a+b+c=20,000

75a+50b+40c=897,500

Step-by-step explanation:

A stadium charges

$75 for each seat in section A

$50 for each seat in section B

$40 for section C.

There are three times as many seats in section B as in section A.

a = 3× b

The revenue from selling odd 20,000 seats is 897,500.

a + b + c = 20,000 seats

Hence,

$75 × a + $50 × b + $40 × c = 897,500

75a + 50b + 40c = 897,500

Hence, the system of equations is :

B. b=3×a

a+b+c=20,000

75a+50b+40c=897,500

Can anyone help me with this?

Answers

Answer:sure

Step-by-step explanation:

Answer:

the answer would be 3

Step-by-step explanation:

plz mark brainly

Question, write an expression representing the supplies needed. 1. She needs one mouse for each snake, plus two extra mice. How many mice are needed if the number of the snakesas: a. 10 b. 6 C. X

Answers

Answer:

a. 12 mice

b. 8 mice

c. (X + 2) mice

Step-by-step explanation:

Given that one mouse is required for each snake, this implies that a snake is accompanied by a mouse. But two extra mice are included, let the number of snake be represented by N and number of mice be represented by L.

Supply needed = N + L + 2

                          = 2N + 2      (∵ N = L)

So that:

Number of mice needed = N + 2

a. When the number of snake is 10, the number of mice needed would be:

Number of mice needed = 10 + 2

                         = 12

Number of mice needed is 12.

b. When the number of snake is 6, the number of mice needed would be:

Number of mice needed = 6 + 2

                         = 8

Number of mice needed is 8.

c. When the number of snake is X, the number of mice needed would be:

Number of mice needed = X + 2

Other Questions
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How many electrons does strontium have to give up to achieve a noble gas electron configuration?0123 1. Calculate the amount of heat required for 25.0 grams of water tochange from 10 degrees Celsius to 30 degrees Celsius. 2. 50.0 grams of water at 100 degrees Celsius evaporated to water vapor 2 pointsat 100 degrees Celsius. Calculate the amount of heat required for thisconversion. 3. A student measured 15.0 grams of ice in a beaker. The beaker was thenplaced on a hot plate where it was heated uniformly for a certain amountof time. During the melting process of the ice, the student noted that thetemperature was at 0 degree Celsius. When all the ice converted to water,the final temperature was also at 0 degree Celsius. How much heat wasused to melt the ice? 4. If 5.0 grams of water was cooled from 50 degrees Celsius to 40degrees Celsius, then calculate the amount of heat released by the water.5. A certain amount of water used exactly 84.0 Joules of heat energy tochange from 25.0 degrees Celsius to 35 degrees Celsius. How manygrams of water was used?Please help me Find the side indicated by the variable. Round to the nearest tenth.PLEASE HELP Read each passage. Compare Eurymachus, the speaker in the first passage, to Odysseus, the speaker in the second passage. How are Odysseus and Eurymachus similar?A. Both are in charge of a group.B. Both are powerful motivators.C. Both are loyal to their families.D. Both believe that the gods will help them.PARAGRAPH 1They felt their knees fail, and their hearts but heardEurymachus for the last time rallying them."Friends," he said, "the man is implacable.Now that he's got his hands on bow and quiverhe'll shoot from the big door stone thereuntil he kills us to the last man. Fight, I say, let's remember the joy of it. 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