Answers
Answer:
12
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
Please help with both questions
Answers
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
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
find the sum of all even numbers between 1 to 350
Answers
The sum of all even numbers between 1-350 is 30450.
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
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
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
-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
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 functionGiven 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
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!
1.) 7x+4=46
2.) 4x+9=17
3.) 2x+1=1
how do you solve it
Answers
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:)
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)=22Yes they are proportional
(25 POINTS!!!!) HELP
Answers
Answer:
Step-by-step explanation:
the question is too hard
Answers
Answer:
a
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= 11hope it is properly explained
STAY SAFE, HAVE A NICE DAY
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]
OR
[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.
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
i need help with this math
Answers
Answer:
11
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
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.
According to the Graffalo the slope line B is ?:
Answers
Answer:
yes ikr
Step-by-step explanation:
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
yes ikr
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:
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
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!
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.
Question in picture below.
Answers
please ifs due today!!
Answers
-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
60 x 4 sqaure is what
Answers
Answer: 60 times 4 = 240 or 60 time 4 square is 960
Step-by-step explanation:
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
What is the measure of angle w°? Show all work.
Answers
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
Find the value of x.
A. 53°
B. 72°
C. 39°
D. 48°
Answers
Answer: 53
Step-by-step explanation:
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 milesStep-by-step explanation:
Let
y- the amount of charge, x - the number of milesThe equations as per question are below
Crazy Curly's
y = 0.3x + 20Bill's Beauties
y = 0.2x + 50Solve the system by substitution
0.3x + 20 = 0.2x + 500.3x - 0.2x = 50 - 200.1x = 30x = 30/0.1x = 300