The dimensions of a trapezoid are halved.
a) How will the area be affected?
b) If the area of the original trapezoid is 28 cm?, then what will the area of the smaller
trapezoid be?
Draw or add images here

Answer:

[tex]x=21[/tex]

Step-by-step explanation:

First of all, the two blue angles (i painted on the image) are congruent since opposed to the vertex.

At this point the red angle is a right angle while the green one is 180°. At this point it's a simple system of linear equations:

[tex]\left \{ {{3x+7+y=90} \atop {5y+10+3x+7=180}} \right. \\\left \{ {{3x+y=83} \atop {3x+5y=163}} \right. \\\\15x+5y-3x-5y=415-163 \rightarrow 12x=252 \rightarrow x=21[/tex]

Answer:

The choice 66

Step-by-step explanation:

[tex]6x + 2m \\ 6(14) + 2( - 9) \\ 84 - 18 \\ = 66[/tex]

Answer:

204

Step-by-step explanation:

90-5 (9-5 (9- (14-12) 3 ) ÷5

▪︎ First we have to solve the ones in the brackets ___ ( 14-12 ) which is e equal to 2

90-5 (9-5 (9- 2×3 ) ÷5 "the 3 comes inside the bracket coz we solved the previous one"

▪︎then we have to solve ( 9-2×3 ) which is equal to 3 _____ is 3 because if we go in the BODMAS way it will be

( 2×3 =6) , then... (9-6=3)

▪︎at the same time we can subtract 9-5 because we are done with the first bracket ( 9-5=4 )

90-5 (4×3)÷5

▪︎at the same time we can subtract 90-5 as well coz we are done with the first bracket ( 90-5=85)

▪︎then we can multiply (4×3) coz it's in the brackets (4×3=12)

85×12÷5

▪︎so then we hv to multiply 85 by 12 , then the answer is 1020

1020÷5

▪︎then divide (1020÷5=204)

☆90-5 (9-5 (9- (14-12) 3 ) ÷5

=90-5(9-5(9-2×3)÷5

=90-5(4×3)÷5

=85×12÷5

=1020÷5

=204

hope this helps☆☆☆

( sorry fr the long answer )

Answer: bro I don’t if this is correct but try 11+3i

Answer:

0.749m and 2.25m

Step-by-step explanation:

to convert from centimeters to meters, you divide by 100 because there are 100cm in 1m

74.9cm/100= 0.749m and 225cm/100=2.25m

Answer: make me brainlist

Step-by-step explanation: x=104

Answer:

$2,139 was the total amount the school raised.

Step-by-step explanation:

35% of 600= 210

210+600 = $810

10% of 810= 81

810-81= $729

6th Graders= $600

7th Graders= $810

8th Graders= $729

32

Divide 192 by 6, to find the amount of baseball cards Nick has.

192 ÷ 6 = 32

32 · 6 = 192

192 ÷ 6 = 32

Nick has 32 baseball cards, which is 6 times less than Juan's amount.

Answer:

y=7/3x

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-7-0)/(-3-0)

m=-7/-3

m=7/3

y-y1=m(x-x1)

y-0=7/3(x-0)

y=7/3(x)

y=7/3x

Equation of the line through (0,0) and (-3,-7) is y=7/3x

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

We need to find the equation of the line through (0,0) and (-3,-7)

m=-7/-3=7/3

Now let us find the y intercept

-7=7/3(-3)+b

b=0

So the equation is y=7/3x

Hence, equation of the line through (0,0) and (-3,-7) is y=7/3x

To learn more on slope of line click:

https://brainly.com/question/14511992

#SPJ5

Answer:

42= x/6

Step-by-step explanation:

Quotient means the answer of a division problem

sense we don’t know the ”number” in this situation it will be seen as a variable or x

x / 6 = 42

to find x we just do 42/6 to get 7

x=7

Answer:

B. [tex]\frac{1}{4}[/tex]

Step-by-step explanation:

The whole beaker is 1. If you measure the beaker, you will notice you can fill up the beaker to the brim (whole, which is 1) if you use the current amount 4 times, and four times is [tex]\frac{1}{4}[/tex].

Answer: For Y the rate of change is +4

For the rate of x its +5

Step-by-step explanation:

Answer:

Step-by-step explanation:

You are after time. You know the total distance. They start off at the same time and meet after t hours

Let the meeting time = t

Let the distance from Mary's standpoint be d

Mary

d = r * t

r = 1 mile / hour

t = ?

Ava

d = r*t

d for Ava = 10 - d

r = 4 mile / hour

Solution

10 - d = 4 * t

The time is the same for both people

Ava: divide both sides by 4

10/4 - d/4 = t

Mary

d = 1 * t

d = t

10/4 - d/4 = d        Add d/4 to both sides.

10/4 = d + d/4

10/4 = 5d / 4        Multiply both sides by 4

10 = 5d                Divide both sides by 5

10/5 = 5d/5

d = 2

Since from Mary we have d = t

They will meet in 2 hours.

Answer:

4

Step-by-step explanation:

f(-3) = 2 * (-3) + 10

The reduction in the principal balance through amortization has a significant impact on the loan's overall cost. As the principal decreases, the amount of interest charged on the outstanding balance also decreases.

the correct answer is B. Amortization.

A decrease in the amount of principal owed on a loan is called amortization.

Amortization refers to the gradual reduction of the principal balance of a loan over time through regular payments. When you make payments on a loan, a portion of the payment goes towards paying off the principal amount borrowed, while another portion goes towards paying the interest charged on the loan.

The process of amortization involves dividing the total loan amount into equal installments or payments over a specified period. With each payment made, a portion goes towards reducing the principal balance. As a result, the outstanding principal decreases over time, leading to the eventual repayment of the entire loan.

Amortization is a common feature in installment loans, such as mortgages, car loans, and personal loans. It allows borrowers to repay the loan gradually rather than in a lump sum, making it more manageable and affordable.

The reduction in the principal balance through amortization has a significant impact on the loan's overall cost. As the principal decreases, the amount of interest charged on the outstanding balance also decreases. This means that over time, a larger portion of each payment goes towards paying off the principal, helping the borrower build equity and ultimately fully repay the loan.

Therefore, the correct answer is B. Amortization.

for more such question on interest visit

https://brainly.com/question/25720319

#SPJ8

The standard deviation is 1.98. Option A is correct.

The standard deviation formula is given as

where:

Substitute the given parameters into the formula to have:

[tex]\sigma = \sqrt{\frac{200}{51} }\\\sigma = \sqrt{3.922}\\\sigma = 1.980[/tex]

Hence the standard deviation is 1.98

Learn more on standard deviation here: https://brainly.com/question/12402189

Answer:

-1

Step-by-step explanation:

rise/run

rise=-1

run=1

-1/1=-1

Answer:

p/4

Step-by-step explanation:

You have p amount of peanuts and 4 baseball fans, so you divide p among 4, which is p/4

Answer: its p/10

Step-by-step explanation: i just did it

Answer:

7

12-5=6 this helps you''';

Answer: betina or adelita

Step-by-step explanation: hope it helps

Answer: 26 = 4x + 10 and Cheryl goes running four times per week.

Step-by-step explanation: Let x equal the number of times Cheryl runs. 26 minus 10 is 16. 16 divided by 4 is 4.

Answer:

just see how many times 3 goes into 80 which is 26. so then that leaves you with 5 and 3 goes into 5 only 1 time so the answer is 26 and 2

Answer:

D. Energy.

Step-by-step explanation:

Liquid is at a higher energy state than a solid.

When the liquid turns into a solid, then the energy gets changed. Then the correct option is D.

When a liquid's temperature drops below its freezing point, a phase shift called freezing occurs, converting it from a liquid to a solid. According to the widely accepted definition, freezing refers to the liquid content of a substance changing from a liquid to a solid during a cooling process.

When a liquid's molecules slow down enough to attract one another into permanent positions as a solid, this process is known as freezing.

The term "single solidification point" refers to the temperature at which an alloy transitions from a completely liquid state to a fully solid state without traveling through a partially liquid state, meaning that no additional cooling is necessary to create a fully solid alloy.

The energy is altered as a liquid changes into a solid. D is the right answer in this case.

More about the solidification link is given below.

https://brainly.com/question/392491

#SPJ2

Answer:

NONE OF THE OPTIONS GIVEN

Step-by-step explanation:

F(x) = 2|x - 3| + 1 is close, but vertical bars in stead of parentheses completely changes the curve shape

I believe it should be f(x) = 2(x - 3) + 1

if g(x) = x

here are some plots to compare the possibilities. I've shifted the vertical of each to separate the blue and green lines slightly. If they were both true "1" values the lines would be colinear for x>3.

The red line has a slope of 1, stretching by a factor of 3 means the slope is now 3. The absolute value signs from the answer options makes f(x) have a sharp V shape whereas the parentheses creates a single line for all values of x as does g(x) = x.