Can u tell me the answers for 2 and 3

Answer:

1) Change the length of side AB to 2 feet

Step-by-step explanation:

Given that both structures are similar, it follows that the ratio of their corresponding lengths are equal.

To find out what should be the correct length of AB that she should change to, set up the proportion showing the ratio of 2 corresponding lengths of both structures. Thus:

[tex] \frac{PR}{AC} = \frac{PQ}{AB} [/tex]

We will assume AB is unknown.

PR = 7.5 ft

AC = 2.5 ft

PQ = 6 ft

Plug in the values into the equation

[tex] \frac{7.5}{2.5} = \frac{6}{AB} [/tex]

Cross multiply

[tex] AB*7.5 = 6*2.5 [/tex]

[tex] AB*7.5 = 15 [/tex]

Divide both sides by 7.5

[tex] AB = 2 [/tex]

The architect should change the length of AB to 2 ft

Answer:

Step-by-step explanation:

When we have two similar triangles, we can use a proportion to determine an unknown value.

[tex]\frac{2x + 80}{87} = \frac{80}{60}[/tex]

We will cross multiply to get two equivalent equations that can be solved.

(2x + 80) x 60 = 120x + 4800

We can simplify this by dividing both sides by 24 to get a much simpler equation to work with: 5x + 200.

80 x 87 = 6960

We will also divide this by 24. The answer is 290

5x + 200 = 290

Subtract 200

5x = 90

Divide by 5

x = 18

Now, we can also check to make sure we did everything correctly.

(2(18) + 80) x 60 = 120x + 4800

(36 + 80) x 60 = 120(18) + 4800

116 x 60 = 2160 + 4800

6960 = 6960 ✅

1.)

Domain:2,2,-8,-9,-3

Range:3,-7,-2,6,-9

2.)

Domain:-2,1,6,-6,1

Range:5,-5,-6,8,6

The Domain is the x-value and the range is the y-value.

Hope this helps!!

Answer: No it’s not.

Step-by-step explanation: So if to find the next number, you add five, then all of the numbers in the sequence will either end with 8 or 3. (5+3 or 0+3). Therefore 97 is not a term in the sequence.

Answer:x = 12

because  RHMO is a rhombus => MH⊥RO

=> m∠3 = 90°

⇒ 8x - 6 = 90°

⇔ 8x = 96

⇔ x = 96/8 = 12

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The answer is B no questions GO GO GO  SUBTRACTION SIGN MEANS THEY OWE MONEY

Answer:

d

Step-by-step explanation:

BC supplementary means they add up to 180 and answer d adds up to 180

Answer:

(-5, 7)

Step-by-step explanation:

Answer:

(7,-5)

Step-by-step explanation:

the layout of the coordinate point always goes (x-axis, y-axis), aka (x,y).

so, to do this, you first find the line on the x-axis that coordinate "f" falls on, which would be line 7 on the x-axis.

then, you find the line on the y-axis that coordinate "f" falls on, which would be line -5 on the y-axis.

I hope this was helpful, let me know if there's any questions, as well as if you got it correct :)

Answer:

a

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

What divided by what equals 0? What divided by what equals 0? Specifically, what positive whole number (X) can you divide by another positive whole number (Y) to get 0? The answer is infinite.

Answer:

98°

Step-by-step explanation:

The two base angles of a parallelogram are always equal and likewise for the two other angles which makes the base 164° combined an 360-164=196° and 196°/2=98°

Answer: D. This relation is not a function because the input 18 has two different outputs, 9 and 24.

Step-by-step explanation: Remember that in order for it to be a function, each input has one output. There can't be 2 x-values because it would immediately cause it to not be a function.

Answer:

ok

Step-by-step explanation:

Answer:

Is there any attachments to this question?

Step-by-step explanation:

Answer:

Tom drove 282 miles.

Step-by-step explanation:

x = number of miles driven

220.81 = 14.95 + 0.73x

-14.95       -14.93

205.86 = 0.73x

/0.73        /0.73

282 = x

Hope this helps!

Answer:

a. Sam withdraws $11 from his account. That means his account balance reduces by $11 so the integer is -$11.

He does this 4 times so;

= 4 * -11

= -$44

b. He then deposits $11 once every day for 4 days.

= 4 * 11

= $44

c. The integer for withdrawals is a negative figure to show that the balance was decreasing. The Integer for deposits is positive to show that the balance was increasing.

Answer:

$2.04

Step-by-step explanation:

$4-$1.60

Answer:Bro u just saved my life with that answer

Step-by-step explanation:

Answer:

The value of x = 20.

Step-by-step explanation:

Figure B is the scale image of A.

It is clear that:

which can be obtained by multiplying 10 with 1.25

i.e.

so the side 16 of figure A must have to be multiplied by 1.25 to get the image the figure B.

so

Therefore, the value of x = 20.

Answer:

5000

Step-by-step explanation:

1000 ÷ 2 = 500 x 10 = 5000

Answer:

Step-by-step explanation:

Formula for compound interest:

A= P(1+r/n)^n x t

A = final amount

P = initial principal balance

r = interest rate

n = number of times interest applied per time period

t = number of time periods elapsed

We know that Serena pays annually meaning yearly (12 months or 1 year)

So after substituting all the numbers in,

A= 1000(1+0.02/12)^(12x10)

We change the rate to 0.02 because we must divide 2% by 100%. And divide the rate by number of times applied per time (n).

DISCLAIMER:

I have not done compound interest questions in a long time but if you want to confirm my answer, go to a calculator site and just input the numbers on there.

Answer:

The equation of the vertical line passing through the point (-8, 5) will be:

Step-by-step explanation:

As we have to determine the equations for the horizontal and vertical lines passing through the point (-8, 5).

To determine the equation for the vertical line passing through the point (-8, 5), we must observe that the vertical line will always have the same x-value regardless of y-values.

Therefore, the equation of the vertical line passing through the point (-8, 5) will be:

Answer:

3y - x = 21

Step-by-step explanation:

Answer:

3y - x = 21

Step-by-step explanation:

y = -3x - 8

The perpendicular line has the reciprocal slope.

So, the slope of this perpendicular line would be 1/3.

The equation that has the slope of 1/3 is 3y - x = 21.

Hope this helps!

Answer:

k = 5

Step-by-step explanation:

Given that (x - h) is a factor of f(x) then f(h) = 0

Given (x - 1) is a factor of f(x), then f(1) = 0, that is

3(1)³ - 8(1) + k = 0

3 - 8 + k = 0

- 5 + k = 0 ( add 5 to both sides )

k = 5

The value of k in the polynomial f(x) = 3x³ - 8x + k is 5.

We know that if x = a is one of the roots of a given polynomial x - a = 0 is a factor of the given polynomial.

To confirm if x - a = 0 is a factor of a polynomial we replace f(x) with f(a) and if the remainder is zero then it is confirmed that x - a = 0 is a factor.

Given,  f(x) = 3x³ - 8x + k, and (x - 1) ⇒ x = 1 is a factor of f(x),

∴ If we replace 1 in place x and make f(x) = 0 and equate we will have the value of k.

So, 0 = 3(1) - 8(1) + k.

0 = 3 - 8 + k.

k = 5.

learn more about factor of a polynomial here :

https://brainly.com/question/28315959

#SPJ2

Four solutions.

This is an example of a non-linear (this one is quadratic) system with 2 variables. Quadratic equations have 2 roots, this system has two equations that means 4 solutions.

Hope this helps.

Answer: (-1.5,0), (-6,9), (3, -9)

Step-by-step explanation:

Answer:

vertical angles

Step-by-step explanation:

[tex]2 \frac{1}{3} : 4 \frac{1}{2} \\ = \frac{7}{3} : \frac{9}{2} \\ = 14:27[/tex]

Answer:

1.

1/2/3/4/5/32

3/6/9/12/15/96

2.

1/2/3/4/5/12

8/16/24/32/96

3.

2/4/6/8/10/12

3/6/9/12/15/18

Step-by-step explanation:

ratios are basically in "#:#" form. then put that in a table. remember that for each one of one thing, it is equivalent to another thing. it might be easy to count it. good luck

Answer:

B

Step-by-step explanation:

Answer:

y = - 1

Step-by-step explanation:

Given

2y - 3(4y - 3) = 9y + 28 ← distribute and simplify left side

2y - 12y + 9 = 9y + 28

- 10y + 9 = 9y + 28 ( subtract 9y from both sides )

- 19y + 9 = 28 ( subtract 9 from both sides )

- 19y = 19 ( divide both sides by - 19 )

y = - 1

Answer:

7x + 10 ≥ 45

Step-by-step explanation:

Given that:

Number of shelves = 7

Number of houses to display on each shelf = x

Number of houses to display = atleast 45 (≥)

Number displayed on buffet = 10

Number displayed on buffet + (number of shelves * number per shelf) ≥ number of houses to display

10 + (7 * x) ≥ 45

7x + 10 ≥ 45