Anyone please help me with this question

Answers

Answer 1

Answer:

Step-by-step explanation:

these are 2 similar triangles, as due to the construction we have 3 corresponding pairs of equal angles (the 47° angle is a given as equal, then due to the rules of crossing lines the inner angles as S must be equal as opposite angles, and that automatically makes the third angles equal, as the sum of all angles in a triangle must be always 180°).

in similar triangles the length ratio of corresponding sides is the same for all corresponding sides and lengths in these triangles.

so, we can use the sides opposite of the 47° angles to find that ratio :

21/9 = 7/3

and now also the sides 28 and x must have the same ratio :

28/x = 7/3

4/x = 1/3

12/x = 1

x = 12

Related Questions

Solve Systems of Equations Using the Substitution Method
6x - y= -4
2x + 2y = 15

I genuinely do not understand this concept at all, it would be AMAZING, if you could explain this as well.
Thanks, all.

Answers

Answer:

x= ½, y= 7

Step-by-step explanation:

[tex]\textcolor{steelblue}{\text{\textcircled{1} Label the equations}}[/tex]

6x -y= -4 -----(1)

2x +2y= 15 -----(2)

[tex]\textcolor{steelblue}{\text{\textcircled{2} Make y the subject of formula}}[/tex]

We could also make x the subject of formula in one equation, however the equation can be easily rearranged so that the coefficient of y is 1. This can be done by moving the y term to the right hand side of the equation, and the rest to the left. Note that each time you bring a term or constant over to the other side of the equation, its sign changes (e.g. positive to negative).

From (1):

6x +4= y

y= 6x +4 -----(3)

Label the equation as equation (3) so we can refer to it easily later.

[tex]\textcolor{steelblue}{\text{\textcircled{3} Substitute (3) into (2)}}[/tex]

Now that we have an equation of y that is written in terms of x, we can replace all the y in equation (2) so that the whole equation is only in terms of x.

Subst. (3) into (2):

2x +2(6x +4)= 15

Expand:

2x +12x +8= 15

Simplify:

14x +8= 15

14x= 15 -8

14x= 7

x= 7 ÷14

x= ½

[tex]\textcolor{steelblue}{\text{\textcircled{4} Find y}}[/tex]

Substitute x= ½ into (3):

y= 6(½) +4

y= 3 +4

y= 7

solve for x use the trig to find angle

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}☂[/tex]

Let's solve, using Trigonometry ~

[tex]\qquad \sf \dashrightarrow \: \tan(x) = \frac{54}{72} [/tex]

[tex]\qquad \sf \dashrightarrow \: \tan(x) = \frac{3}{4} [/tex]

[tex]\qquad \sf \dashrightarrow \:x = \tan { }^{ - 1} ( \frac{3}{4} ) [/tex]

[tex]\qquad \sf \dashrightarrow \:x = 37 \degree[/tex]

Answer:

[tex]\displaystyle 36,9[/tex]

Step-by-step explanation:

[tex]\displaystyle 1\frac{1}{3} = cot\:x \hookrightarrow cot^{-1}\:1\frac{1}{3} = x \hookrightarrow 36,869897646...° = x \\ \\ 36,9° ≈ x[/tex]

[tex]\displaystyle \frac{3}{4} = tan\:x \hookrightarrow tan^{-1}\:\frac{3}{4} = x \hookrightarrow 36,869897646...° = x \\ \\ 36,9° ≈ x[/tex]

Information on trigonometric ratios

[tex]\displaystyle \frac{OPPOCITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOCITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOCITE} = csc\:θ \\ \frac{ADJACENT}{OPPOCITE} = cot\:θ[/tex]

I am joyous to assist you at any time.

i need help with this math

Answers

Answer:

Step-by-step explanation:

Answer:

k = 11

Step-by-step explanation:

4k + 39 = 7k + 6 ( subtract 7k from both sides )

- 3k + 39 = 6 ( subtract 39 from both sides )

- 3k = - 33 ( divide both sides by - 3 )

k = 11

-59 from -100 please help

Answers

Answer:

I think the answer will be - 159

Because the number with similar sign are always added

Step-by-step explanation:

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

-59- -100 is equal to 41

Some college friends have decided to go on a road trip over the summer with some friends. Finances are tight and they need to hire a car for the trip. There are two hire companies to choose from: Crazy Curly's charges a base fee of $20 and then 30 cents per mile. Bill's Beauties charges 20 cents per mile and a base fee of $50. - Write a system of equations that can be used to determine at what trip distance Bill's and Curly's rental cost would be the same. - At what trip distance would Bill's and Curly's rentals cost the same amount?

Answers

Answer:

300 miles

Step-by-step explanation:

Let

y- the amount of charge, x - the number of miles

The equations as per question are below

Crazy Curly's

y = 0.3x + 20

Bill's Beauties

y = 0.2x + 50

Solve the system by substitution

0.3x + 20 = 0.2x + 500.3x - 0.2x = 50 - 200.1x = 30x = 30/0.1x = 300

please ifs due today!!

Answers

Y = -2x + 5
-1: -2(-1) + 5 = 9
1: -2(1) + 5 = 3
3: -2(3) + 5= -1
5: -2(5) + 5= -5

Plot these coordinates on the graph
(-1,9)
(1,3)
(3,-1)
(5,-5)
If the line is straight then it’s linear
If the line has a constant of proportionality the it’s proportional

What is the measure of angle w°? Show all work.

Answers

It is 100 degrees because angles z and w need to equal 180 and a triangles angles always answer 180 degrees with angle y being 20 and an 80 degree angle making angle z 80 degrees making angle w 100 degrees.

Please help with both questions

Answers

Value of n is greater than (-2) and less than or equal to 3.
n = {-1,0,1,2 3}

3x +5 > 16
Subtract 5 from both sides
3x > 16 - 5
3x > 11
x > 11/3
x> 3.67

X= 4 is the smallest value

Refer to the attachment for your answer, just remember the fact that as x is an integer in 2nd question and x > 3.66... so x's smallest value will just be 4, and in 1st question you can use the number line for a better understanding

According to the Graffalo the slope line B is ?:

Answers

Answer:

yes ikr

Step-by-step explanation:

yes ikr

P = $700, r = 5%, t = 8 years; compounded quarterly
HELP ME ASAP!!!

Answers

Answer:

$1,041.69

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation:

Forumla; P(1 + r/n)nt

700.00(1 + 0.05/4)(4)(8)

700.00(1 + 0.0125)(32)

$1,041.69

hope this helps!

Answer:

$1,041.69

Step-by-step explanation:

Compound interest formula: [tex]A=P(1+\frac{r}{n})^{nt[/tex]

A = amount (future value ($))

P = principal (orignal amount - $700)

R = rate (written as a decimal - 5%/100= 0.05)

N = compound (quarterly - 4) 4 quarters in 1 yr.

T = number of years (8)

[tex]A=P(1+\frac{r}{n})^{nt[/tex]

[tex]A=P(1+\frac{r}{n})^{nt}\\\\A=700(1+\frac{0.05}{4})^{4*8} < == start\ from\ the\ parenthesis\ and\ divide\ first\\\\A=700(1+0.0125)^{4*8} < == add\ the\ \#s\ in\ the\ parenthesis\\\\A=700(1.0125)^{4*8} < == multiply\ the\ exponents\\\\A=700(1.0125)^{32} < ==multiply\\\\A=700(1.488131) < ==multiply\\\\A=1041.691\\\\A=$1,041.69[/tex]

Hope this helps!

find the sum of all even numbers between 1 to 350

Answers

The sum of all even numbers between 1-350 is 30450.

How far is 75% of a 2,000-kilometre trip?

Answers

Answer:

1500

Step-by-step explanation:

Simply multiply 0.75 by 2000 to get the percent of the trip, 1500. Hope this helps!

60 x 4 sqaure is what

Answers

Answer: 60 times 4 = 240 or 60 time 4 square is 960

Step-by-step explanation:

Kristen drank 7 cups of orange juice in the morning and 1/4 of a cup in the afternoon. How much orange juice did Kristen drink in all?

Answers

Kristen drank a total of 7 1/4 cup of orange juice throughout the day.

Question in picture below.

Answers

B I believe is the answer thank you

Zeema gets paid £13,440 per annum.
Assuming she gets paid in equal monthly payments, how much does she earn per month?

Answers

Answer:

2130 per month

Step-by-step explanation:

25,560 / 12

2130

ZA and ZB are vertical angles. If mA = (2x - 4)º and mZB = (4x - 30),
then find the value of x.

Answers

Answer:

x=13

Step-by-step explanation:

2x-4 = 4x - 30

-4 = 2x - 30

26 = 2x

x = 13

Mar 31, 2:56:59 PM
Ryan needed to get his computer fixed. He took it to the repair store. The technician
at the store worked on the computer for 3.75 hours and charged him $192 for parts.
The total was $398.25. Which equation could be used to represent
the context if x represents the cost of labor per hour?

Answers

3.75x+192=398.25 is how much the technician earns

1.) 7x+4=46
2.) 4x+9=17
3.) 2x+1=1
how do you solve it

Answers

Can u help me I posted a question with picture xx

Answer:

1.) you're going to subtract 4 from 46

46-4= 42

7x=42

Then you divide 7 from 42 and get 6..........x=6

2.) you're going to do the same thing for this one

17-9=8

4x=8

8÷4=2

x=2

3.) you're going to do the same thing

1-1=0

2x=0

0÷2=0

x=0

Step-by-step explanation:

Hope this helps:)....if not then sorry for wasting your time and may God bless you:)

Find the value of x.
A. 53°
B. 72°
C. 39°
D. 48°

Answers

Answer: 53

Step-by-step explanation:

the question is too hard

Answers

Answer:

Step-by-step explanation:

7(g-9)+12=26

7(g-9)+12-12=26-12

7(g-9)=14

7(g-9)/7=14/7

g-9=2

g-9+9=2+9

g=11

Answer:

(A) G= 11

Step-by-step explanation:

26=7(g-9)+12

(take 12 to 26)

so it will be 7(g-9)= 26-12

=> 7(g-9)= 14

(then take 7 to 14)

=> g-9= 14/2

=> g-9= 2

(then take 9 to 2)

g= 2 + 9

g= 11

hope it is properly explained

STAY SAFE, HAVE A NICE DAY

6. The circle in the center of basketball court is being painted. The circle has a radius of 9 feet. What is the circumference of the circle? Leave your solution in terms of pi.

Answers

Answer:

18pi

Step-by-step explanation:

Circumference = 2 Pi R

c = 2 x 9 x Pi

c = 18Pi

From the tip of a 9 foot tree, to the end of it's
shadow is 15 feet. Which is longer, the tree
or the shadow? By how much?

Answers

Answer:

The shadow is longer by 3ft

Step-by-step explanation:

A simple a^2 + b^2 = c^2 problem

81 + b^2 = 225

b = 12ft

What is the solution to h/-24<_18?

Answers

Answer:

h ≥ -432

Step-by-step explanation:

h/-24<=18

Multiply though by -24:

h ≥ -24*18

h ≥ -432

Note: the inequality signs flips as we are multiplying both sides by a negative value.

The base of a triangle is (x - 3) inches. The height of a triangle is 4.5 inches. If the area is 27 square inches, what is the value of x?

Answers

Answer:

x=15 inches

Step-by-step explanation:

Area of ∆ is 27sq inches

Height is 4.5 inches

base is (x-3) inches

Area of ∆= ½×b×h

27= ½×(x-3)×4.5

27=2.25×(x-3)

27=2.25x-6.75

2.25x=27+6.75

2.25x=33.75

x=33.75/2.25

x=15 inches

find the sum of the interior angle measures of a regular polygon with 22 sides

Answers

Answer:

Step-by-step explanation:

We can split this into 20 triangles, each with an angle sum of 180 degrees.

So 180(20) = 3600 degrees.

Which of the following is true about the decimal form of the number? 25/225
A It is neither a terminating decimal nor a repeating decimal.
B It is both a terminating decimal and a repeating decimal.
C It is a repeating decimal

Answers

Answer:

I think it's B because it stops but keeps going.

Step-by-step explanation:

what are the features of function g if g(x)=f(x + 4) + 8?

vertical asymptote of x= -4

domain of (4, [infinity])

y-intercept at (0,10)

x-intercept at (1,0)

range of (8, [infinity])

Answers

The correct statement is that the range of the function is (8, [infinity])

How to find the intercept, domain and range of a function

Given the function as shown below:

g(x) = √(x + 4) + 8

The domain of the function is the point here x + 4 ≥ 0

Domain = x ≥ -4

In interval form, the domain of the function is [-4, 0)

The range of the function is the real values from 8 and above. Hence the range of the function is (8, [infinity])

Learn more on domain and range here: https://brainly.com/question/1942755

The table below shows a proportional relationship. True or False?

Answers

According to the image, the table shows a relationship that is not proportional. First of all, you cannot multiply a number by 0 and get something other than 0. Anything multiplied by 0 is always 0.

Second, the rule is different for each row.

2x5=10

4x4=16

6x3.6=22

A proportional relationship must increase by the same amount, and this does not, which means it is not proportional.

Find common ratio

0+4(1)=42+4(2)=104+4(3)=166+4(4)=22

Yes they are proportional

(25 POINTS!!!!) HELP

Answers

Answer:

Step-by-step explanation:

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