(PLEASS HURRY IM BEING TIMED)

(05.03 MC) Paul walks 25 feet away from his house and places a mirror on the ground. He backs 5 feet away from the mirror so that he can see the tip of the roof. Paul's eyes are 6 feet above the ground. Paul and the house are both perpendicular to the ground. The angles between the top of the house, the mirror, and the ground and between Paul's eyes, the mirror, and the ground are congruent as shown in the image below: What is the height of the house? Show your work and explain your reasoning in complete sentences. (10 points) Edit View Insert Table Format Tools 12pt v Paragraph v B B I U Av 2 T?v:



(Giving Brainliest)​

(PLEASS HURRY IM BEING TIMED)(05.03 MC) Paul Walks 25 Feet Away From His House And Places A Mirror On

Answers

Answer 1

Looks like you have 2 similar triangles.

all the angles from one triangle are congruent to all the angles from the other triangle.

The sides must be proportional.

Therefore 6/5 = x/25, where x is the height of the house, 6 is the height of paul's eyes, 5 is the distance between paul and the mirror, and 25 is the distance between the house and the mirror.

Cross multiply h to get 6*25 = 5*x.

Divide both sides of the equation by 5 to solve for x to get:

x = 6*25/5 = 6*5 = 30.


Related Questions

Simplify 3a(2a+7)-2a²

Answers

that’s is the answer to your question.
4a^2 + 21a is the answer

i NEED help pleaseee​

Answers

almost 100% sure its one bevause anything with the exponent of 0 is one

what is the sign of -5 times (-1/-2)

Answers

Answer:

-

Step-by-step explanation:

Write a two-column proof.

I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF

Answers

Proof:-

In ∆TOP and ∆ZAP

[tex]\because\sf\begin{cases}\sf <O\cong <A(Given)\\ \sf TO\cong AZ(Given)\\ \sf <TPO\cong <ZPA(Opposite angles)\end{cases}[/tex]

Hence

∆TOP[tex]\cong[/tex]∆ZPA(Side-Angle-Side)

Step-by-step explanation:

Statement                                                  Reason

∠O ≅ ∠A                                                    Given

TO ≅ AZ                                                    Given

∠OPT and ∠ZPA are vertical angles       Vertical angles theorem

∠OPT ≅ ∠ZPA                                           Definition of vertical angles

ΔTOP ≅ ΔZAP                                           Angle - angle -side AAS postulate

What is the solution to 0. 3(12x - 16) = 0. 4(12 - 3x)?.

Answers

Answer:

[tex]x = 2[/tex]

Step-by-step explanation:

[tex]3\left(12x-16\right)=4\left(12-3x\right)[/tex]

First, let's solve the brackets. Use the distribution property. It simply means multiplying the value outside of the brackets to each value inside the brackets.

[tex]3\left(12x-16\right)[/tex]

[tex]=3\cdot \:12x-3\cdot \:16[/tex]

[tex]=36x-48[/tex]

[tex]4\left(12-3x\right)[/tex]

[tex]=4\cdot \:12-4\cdot \:3x[/tex]

[tex]=48-12x[/tex]

Now we've simplified the expression to:

[tex]36x-48=48-12x[/tex]

[tex]\mathrm{Add\:}48\mathrm{\:to\:both\:sides}[/tex]

[tex]36x-48+48=48-12x+48[/tex]

[tex]36x=-12x+96[/tex]

[tex]\mathrm{Add\:}12x\mathrm{\:to\:both\:sides}[/tex]

[tex]36x+12x=-12x+96+12x[/tex]

[tex]48x=96[/tex]

[tex]\mathrm{Divide\:both\:sides\:by\:}48[/tex]

[tex]\frac{48x}{48}=\frac{96}{48}[/tex]

[tex]\bold{x=2}[/tex]

Therefore, the answer is [tex]x = 2[/tex]

The solution of the given equation [tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex] is [tex]x=2[/tex].

Given equation,

[tex]0. 3(12x - 16) = 0. 4(12 - 3x)[/tex]

Use the simple rules of algebra like the BODMAS rule to get the equivalent expression for the given equation.

Simplified expression:

Firstly, open the brackets and then multiply the coefficients. In the next step arrange the terms to get the simplified solution.

On Solving the brackets, we get

[tex]3.6x-4.8=4.8-1.2x\\[/tex]

[tex]3.6 \ x+1.2 \ x=4.8+4.8[/tex]

[tex]4.8 \ x=9.6 \\x=\dfrac{9.6}{4.8} \\[/tex]

[tex]\ x= 2[/tex]

Hence, the solution of the given equation is [tex]x=2[/tex].

For more details about expressions follow the link:

https://brainly.com/question/545403

Vince made a scale drawing of the middle school. He used the scale 5 inches : 8 feet. If the gym is 45 inches wide in the drawing, how wide is the actual gym?

Answers

Scale drawings are used to show an actual image using lesser dimensions.

The width of the actual gym is 72 feet

The scale is given as:

[tex]Scale = 5\ inches : 8\ feet[/tex]

Represent the width of the actual gym with w, so, we have the following equivalent ratio

[tex]45\ inches : w = 5\ inches : 8\ feet[/tex]

Cancel out the common units

[tex]45: w = 5: 8\ feet[/tex]

Express as fraction

[tex]\frac{45}{w} = \frac{5}{8\ feet}[/tex]

Cross multiply

[tex]5w = 45 \times 8\ feet[/tex]

Divide both sides by 5

[tex]w = 9\times 8\ feet[/tex]

[tex]w = 72\ feet[/tex]

Hence, the width of the actual gym is 72 feet

Read more about scale drawing at:

https://brainly.com/question/14934768

An oil tanker is leaking at a constant rate per minute. After 11 minutes, 931 gallons of oil remain in the tanker. After 18 minutes, 633 gallons of oil remain in the tanker. Write the function f(t) that describes this scenario.

Answers

The  function f(t) that describes this scenario will be A = -42.57t + 1399.28

Let the amount of oil remaining after time t be ALet the time taken be "t"

This required linear expression will be given as A= mt + b

Writing the gallons of oil and the time taken as a coordinate point (A, t), these are given as (11, 931) and (18, 633)

m is the rate of change = 633-931/18-11

m = -298/7

m = -42.57

Get the intercept;

633 = -42.57(18) + b

633 = -766.29 + b

b = 1,399.28

Heence the  function f(t) that describes this scenario will be A = -42.57t + 1399.28

Learn more on functions here; https://brainly.com/question/17431959

Write an equation in point-slope form that has a y-intercept at (0, 12) and also contains the point (1,2)

Answers

Answer:

y-2=-10(x-1).

Step-by-step explanation:

The point slope form is y-y_1 = m(x-x_1). Now we find the slope, which is 2-12 (-10)/1-0(1). This gives us -10. Now we plug the coordinates from one of the points and the slope to get y-2=-10(x-1).

I need help with an equation... I can't understand it I've tried it a couple of times and I still get it wrong...so help plz?

Answers

Answer:

  (f·g)(x) = x³ -8x² +20x -16

Step-by-step explanation:

The distributive property is useful for this.

  (f·g)(x) = f(x)·g(x) = (x² -6x +8)(x -2)

  = x(x² -6x +8) -2(x² -6x +8)

  = x³ -6x² +8x -2x² +12x -16

  (f·g)(x) = x³ -8x² +20x -16

_____

Additional comment

I find it convenient to separate the terms of the shortest polynomial. That way, the distributive property doesn't need to be used quite so many times. Of course, any outside minus sign applies to all terms inside parentheses.

pls help meeeeeeeeeeee

Answers

Answer:

b=22/15 or 1.46 repeating

Step-by-step explanation:

Your bill at a restaurant is $68 and you want to leave a %20 tip what is the total amount you will leave

Answers

Answer:

$81.6

Step-by-step explanation:

You multiply 0.2 by 68, in which you will get 13.6, and then you add that to 68.

This is the change in kinetic energy of a system in which a 16 kg object moving at 25 m/s slows to a velocity of 20 m/s.

Answers

The change in kinetic energy of the  system is 200 J

Kinetic energy is the energy that an object possesses as a result of its motion.

It is given by:

Kinetic energy = (1/2)m[v - u]²

Where m is the mass of the object, v is the final velocity and u is the initial velocity.

Given that m = 16 kg, v = 20 m/s, u = 25 m/s, hence:

Kinetic energy = (1/2) * 16 * (20 - 25)² = 200 J

The change in kinetic energy of the  system is 200 J

Find out more at: https://brainly.com/question/12669551

Which is in an equation of the line through (0,0) and (-8,-5)?
O A. y = 2
O B. y= -5x
O C. y = $u
D. y=-8x

Answers

Step-by-step explanation:

Since the first coordinates are both (0,0) it implies that the line passes through the origin.

The slope of the line is therefore 5/8

The equation:

y-0=5/8(x-0)

y=5/8x

Help me please just help I need help rn like rn

Answers

Answer:

i.900

j.6

k.8

l.0

Step-by-step explanation:

hope this helps you ;)

Pete grabbed 18 mixed nuts, StartFraction 2 Over 9 EndFraction of which were almonds. Which equation shows how to determine the number of almonds Pete grabbed?

Answers

Answer:

Thats one heck of a whole lot nuts

Step-by-step explanation:

write this equation in slope intercept form
(4, -3) (2, -9)

Answers

Answer:

[tex]y=3x-15[/tex]

Step-by-step explanation:

[tex]Slope=m=\frac{\Delta y}{\Delta x}=\frac{y_2-y_1}{x_2-x_1}=\frac{-9-(-3)}{2-4}=\frac{-6}{-2}=3[/tex]

[tex]y=3x+b[/tex]

[tex]-3=3(4)+b[/tex]

[tex]-3=12+b[/tex]

[tex]-15=b[/tex]

[tex]y=3x-15[/tex]

[tex]\text{Given that,}\\\\(x_1,y_1) = (4,-3),~\text{and}~ (x_2,y_2) = (2,-9)\\\\\\\text{Slope, m =} \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-9+3}{2-4} = \dfrac{-6}{-2} = 3\\\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y -(-3) = 3(x-4)\\\\\implies y+3 = 3x -12\\\\\implies y = 3x -12 -3 \\\\\implies y = 3x -15\\\\\textbf{This is the slope - intercept form(y = mx +b), where m =3 and b =-15.}[/tex]

Activity
In this activity, you will use a table of coordinate points to determine whether a function is linear or nonlinear. Billy hit a baseball to the bottom of
the outfield wall. The table gives points in the function representing the helght of the baseball in terms of the horizontal distance traveled by the
ball. Help Billy find whether this function is linear or nonlinear.
03
150 78
300 3
The value of x represents the horizontal distance traveled by the baseball, and the value of y represents the height of the ball from the ground.
-Part A
To determine whether a function is linear or nonlinear, check whether the rate of change is constant for every pair of coordinates. What is the rate
change in y, for the first two pairs of coordinates?
of change, change in

Answers

Answer: The rate of change in the y coordinate is 75. 78 - 3= 75.

Answer:

Part a: Answer is 1/2

78 - 3/150 - 0 = 75/150

= 1/2

Part b: Answer is -1/2

3 - 78/300 - 150

= -75/150

= -1/2

Part c: No, the two rates aren’t the same, because one is positive and the other is negative.

Part d: The rate of change of the function determined by using the two pairs of coordinates is not the same. So, the function modeling the movement of the ball is a nonlinear function

Step-by-step explanation:

help with this graph please and thanks​

Answers

Answer:

Okay, to graph this equation we need to graph the y-intercept first.  This time its 7 for you, meaning 0,7.  So graph (0,7) as your first point.  Then we have your slope, which is -2/3`.  So, from (0,7) we will do rise/run.  So, our next point will be (3,5).  We went down 2 and ran 3.  Since its negative, we went DOWN.

-

if you want a third point, just ask!

-

Hope this helps.

-

<3

crisps
normal price £1.43
three for the price of two
what is the total of 6 packets

Answers

Answer:

3 packs equal the price of two, therefore 1.43•2= 2.86

and 6 packs equal the price of 4, so 2.86•2= 5.72

What is the slope of the proportional relationship, and how can I graph it?

Answers

Answer:

I would say 5.2 .

Step-by-step explanation:

if I’m wrong, I’m sorry. If I’m right, mark me brainlest!

HeLpPPpppPpPppPpppPpPPp​

Answers

D is the answer, it’s the farthest North on the map shown.

I NEED HELP PLEASE!!!!!!!!!!!!!!!

Answers

Answer:

$2580

Step-by-step explanation:

$1500 dollars increased by 9%. In 8 years how much money he will have.

Ok, he has 1500 bucks in there

percents are an amount out of 100 so 9%=9/100

which, 9/100 in decimal form is .09

1500*.09 which is 135

135 dollars every year added

in 8 years, he will have earned 1080 bucks due to interest

1500+1080 which is 2580 dollars

he will have 2580

Answer:

1,616.60

Step-by-step explanation:

we know that

The compound interest formula is equal to

A=P(1+\frac{r}{n})^{nt}A=P(1+

n

r

)

nt

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

\begin{gathered}t=5\ years\\ P=\$1,500\\ r=1.5\%=1.5/100=0.015\\n=4\end{gathered}

t=5 years

P=$1,500

r=1.5%=1.5/100=0.015

n=4

substitute in the formula above

A=1,500(1+\frac{0.015}{4})^{4*5}A=1,500(1+

4

0.015

)

4∗5

A=1,500(1.00375)^{20}A=1,500(1.00375)

20

A=\$1,616.60A=$1,616.60

How do you rewrite 7x3+7x5

Answers

If your looking for Standard Form Rewrite it as... [tex]7x^5+7x^3[/tex]

7x3+7x5 = 7x(3+5) = 7x8 = 63
Ok done. Thank to me :>

simplify the expression
3( 2x - 4) -1n

pls hurry

Answers

Answer:

(3)(2x) + 3 (-4) + - 1n

6x + -12 + - n

Answer -n + 6x - 12

a coin is tossed 4 times. what is the probability of getting heads each time

Answers

answer: 1/16

If you flip a coin 4 times, the probability of getting all heads is 1/16.

HELP ME PLEASEEEE I NEED ITT !

Answers

Answer:

10

Explanation:

130 divided by 13 equals 10

10 times 13 equals 130

Graph
Y-7=-3/5-(x+2)

Answers

Answer:

See attached

Step-by-step explanation:

A simpler form of the same equation is:

y = -4 +(4+2/5)

Systematic bias occurs when the way data are collected and measured is
inaccurate. These flawed data lead to unreliable results.
A. True
B. False

Answers

TRUE answer=sorry if wrong

i need help with this math question

Answers

Answer:

  D.  f(x) = -6x^3 -5x^2 +21x

Step-by-step explanation:

The given zeros mean the function has factors ...

  (x -(-7/3))(x -3/2)(x -0)

Multiplying by 6, we can write this as ...

  (3x +7)(2x -3)(x) = 6x^3 +5x^2 -21x

And multiplying by -1 gives ...

  -6x^3 -5x^2 +21x . . . . . matches choice D

__

Additional comment

The product of factors will be zero when f(x) = 0. This means we can multiply or divide by any convenient factor and the product will remain zero. Effectively, we have multiplied our original factorization by -6 to make the expression match one of the given forms. When we write this final expression as the function f(x), it remains true that the given zeros are zeros (x-intercepts) of f(x).

What is the y-intercept of the equation y = 3x - 1

Answers

Answer:

you have to go over one on the y axes then 3 up that would be your answer.

your y-intercept would be -1

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