Answers
7x + 27 = 90
7x = 63
x = 9
The value of the segment 'x' is 9° as ∠ABC is a right angle.
What is a right angle?When the value of an angle is 90°, then it is called right angle.
Here, AB is perpendicular to CD.
Therefore, ∠ABC = 90°.
Again, ∠ABC = (7x + 27)° = 90°.
Therefore, 7x + 27 = 90
⇒ 7x = 63
⇒x = 9
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Related Questions
alex has twice as much money as jennifer. jennifer has $6 less than shannon. Together they have 54$. How much money does each have?
Answers
To solve this, set up a simple equation where X equals the amount of money Jennifer has. Alex has twice as much, and Shannon has $6 more than Jennifer. Solving the equation shows Jennifer has $12, Alex has $24, and Shannon has $18.
Explanation:Let's define the amounts of money each person has. If Jennifer has X dollars, then Alex has twice as much, which means Alex has 2X dollars. Jennifer has $6 less than Shannon, meaning Shannon has X + $6. If you sum up all their money, it equals $54. So 2X (what Alex has) + X (what Jennifer has) + X + $6 (what Shannon has) equals $54.
This can be simplified to 4X + $6 = $54. When you subtract $6 from each side, you get 4X = $48. Next, you divide each side by 4 to solve for X, which leads to X = $12.
Jennifer has $12, Alex has 2*$12 = $24, and Shannon has $12 + $6 = $18.
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The right line is a translation of the left line 4 units to the right. Drag the left line and try to move it on top of the right line. Are these lines the same? What does this mean about how a line changes when you translate it?
Answers
yes they are the same.
A line does not change when translated
Yes, the lines are same.
Here,
The right line is a translation of the left line 4 units to the right and Drag the left line and try to move it on top of the right line.
What is translation?
A translation is a type of transformation that takes each point in a figure and slides it the same distance in the same direction.
Clearly,
Line is not change when it translate.
So, the line are the same even though the right line is translation of the left line 4 units to the right. The function moves the line a certain distance. The line is not altered in any way so thus the lines are the same.
Hence, the lines are same.
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If 10 miles is about 16 kilometers and the distance between two towns is 45 miles, use a ratio table to find the distance between the towns in kilometers
Answers
You set up a proportion
10mi/16km = 45mi/x
multiply 16 and 45
so you are left with 720 = 10x
x = 72
If f(x) = x + 8 and h(x) = 3x − 3, find a function g such that g ∘ f = h.
Answers
If f(x) = x + 8 and h(x) = 3x − 3,
g ∘ f = h
g ∘ (f ∘ f ^-1) = h ∘ f ^-1 ( proprety associative)
but ;
(f ∘ f ^-1) = x
g ∘ x = g
g(x) = (h ∘ f ^-1)(x)
calculate : (f ^-1)(x)
f(x) = x +8
x= f(x) - 8
so : (f ^-1)(x) = x - 8
g(x) = (h ∘ f ^-1)(x) = h((f ^-1)(x)) = h(x - 8) = 3(x - 8) -3
g(x) = 3x - 27
Let P be a point between points S and T on 2004-01-01-02-00_files/i0120000.jpg. If ST = 21, SP = 3b – 11, and PT = b + 4, solve for b.
Answers
In other words:
length of SP + length of PT = length of ST
3b-11 + b+4 = 21
4b - 7 = 21
4b = 21+7
4b = 28
b = 28/4 = 7
Therefore:
SP = 3b-11 = 3(7)-11 = 21-11 = 10
PT = b+4 = 7+4 = 11
Cindy is preparing for a 25-mile charity run hosted by her school's Athletic Club on their home track. In preparation for the run, Cindy has been running in 25-lap sets, recording her lap times as she goes. Cindy feels that she is very well prepared for the run. Looking at her scores, she can see that at least 75% of them are 90 seconds or better, with some as good as 82 seconds. But, she also knows that she has a couple of poor times, one as low as 102 seconds, that will make her total time a bit worse. To further analyze her lap times, Cindy would like to organize them in a box-and-whisker plot. Which of the following plots is most like what Cindy should expect to see, based on what she already knows?
Answers
The Q1 value is 90
The box and whisker plot will have the tails of the whisker at 82 and 102, while one of the ends of the box will be at 90.
Which equation could be used to solve for the length of side c, given a = 5, b = 12, and c = 72°?
Answers
c=sqrt(a^2+b^2-2abcos(c))
c=sqrt((5)^2+(12)^2-2(5)(12)cos(72))
c=sqrt(25+144-120cos(72))
c=sqrt(169-120cos(72))
c=sqrt(169-37.08)
c=sqrt(131.92)
c=11.49
Answer:
[tex]c=11.49[/tex]
Step-by-step explanation:
It is given that a = 5, b = 12, and c = 72°, then using the cosine formula, we get
[tex]c^2=a^2+b^2-2abcosC[/tex]
[tex]c^2=(5)^2+(12)^2-2(5)(12)Cos72^{\circ}[/tex]
[tex]c^2=25+144-2(60)(0.309)[/tex]
[tex]c^2=169-37.08[/tex]
[tex]c^2=131.92[/tex]
[tex]c=\sqrt{131.92}[/tex]
[tex]c=11.49[/tex]
Therefore, the value of the length of the side c is 11.49.
Simplify. 14+4(12−34)2 Enter your answer in the box.
Answers
14 + 8(-22)
14 - 176
- 162 is your answer
hope this helps
Answer:1/4+4(1/2−3/4)^2
Step-by-step explanation Its supposed to be a fraction but when you copy and paste it won't allow it to be fraction. Answer is 1/2
What is the approximate value of x?
Answers
Hope this helps!
Answer:
The answer is 17.
Step-by-step explanation:
Let the number plotted be x.
The point plotted on number line is slightly more than 4.
And this number is the square root of x.
We know that [tex]\sqrt{16}[/tex] is 4.
And the given point is close to 4 or square root of 16.
So, the best possible and closest answer is 17.
The square root of 17 is 4.123.
Therefore, the answer is 17.
22 1/2 percent to a fraction
Answers
= 45 / 200
Divide top and bottom by 5:-
= 9 / 40 answer
22 ½ % is equivalent to 9/40 as a fraction.
To express 22 ½ percent as a fraction, we need to convert the percentage to its decimal form and then simplify.
22 ½ % is equivalent to 0.225 in decimal form (since 22.5% = 22.5/100 =0.225).
Now, to convert the decimal to a fraction, we can write it as 225/1000. To simplify, we can divide both the numerator and denominator by 25:
[tex]\frac{225}{1000}=\frac{9 \times 25}{40 \times 25}=\frac{9}{40}[/tex]
The required answer is 9/40.
A car is traveling at a speed of 79 feet per second. (a) what is its speed in kilometers per hour?
Answers
0.0240792 x 60 = 1.444752 km/minute
1.444752 x 60 = 86.68512 km/hour
Ans: 86.69 km/h
Jon invests $4,100 into an account that pays 5 percent simple interest each year. What is the total balance in the account after 3 years?
Answers
Y=.05(3)+4100
Y=.15+4100
Y=4100.15
Which rigid transformation does NOT result in reversed orientation of the original image?
Answers
A man was scuba diving to look for coral reef in the ocean. He descended at a rate of 3 meters per minute. If he continued for 10 minutes, has far below the water’s surface would he be?
Answers
3x^2+7x+3
+ 5x^2+12x
Answers
Answer:
8x^2+19x
Step-by-step explanation:
Simplify the expression by combining like terms. Terms which look a like and sound a like should be added together.
3x^2+7x+3+5x^2+12x
x^2 terms: 3x^2+5x^2=8x^2
x terms: 7x+12x=19x
constants: 3
Together is is 8x^2+19x+3.
62 is 112% of what number? find the base and round to the nearest hundredth
Answers
Answer: Hello there!
if 62 is the 112% of some number, this means that if the number is x; then the 100% of this number is x, and the 112% of this number is x + 0.12*x = 1.12*x
then this means that 62 = 1.12x
now we want to find the number x:
62 = 1.12x
x= 62/1.12 = 55.35714
now we need to round it to the nearest hundredth:
the hundredth place is the second number after the decimal point, in this case, is a 5, and we want to round it; if the next number is 5 or bigger, we round up, if it is less than 5, we round down.
We can see that the next number is a 7, so we should round up; then our number x is: 55.36
HELP ME OUT PLEASE I REALLY NEED SOME HELP ON THIS QUESTION PRETTY PLEASE !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Identify a reflection about the x-axis or a reflection about the y-axis of ƒ(x) = x^4 + x by observing the equation of the function g(x) = x^4 – x.
I think it might be on the y axis
Answers
Find the probability of pulling a yellow ball out of a box if the box contains two red balls, three yellow balls, and one green ball. A. 1/4 B. 1/3 C. 1/2 D. 3/4
Answers
Lavonne has 4/5 cup of blueberry muffins requires 1/3 cupof blueberrys how many batches of blueberry muffins can lovonne make
Answers
= (4/5) / (1/3)
= (4/5)*(3/1)
= 12/5
= 2 2/5 batches
The camera shop wants to use the measure of central tendency that expresses how successful they are in selling camaers which measure of central tendency should they chosse
Answers
write an equation for each line. y intercept of -2,1, x intercept of 3.5
Answers
Find the coordinates of the midpoint of the segment with the given endpoints a (5,4), b (-3,2)
Answers
LITERALLY THE MOST HARDEST QUESTION TO EVER EXIST ON THIS PLANET AND QUITE POSSIBLY THIS DIMENSION IF DIMENSION QARPING WAS EVEN POSSIBLE LIKE IN RICK AND MORTY!
if f(x)=1/2 x-2 what is the value of f(4)
Answers
f(4)= 1/2(4)-2
f(4)= 2-2
f(4)= 0
Final answer: 0
Answer:
all you got 2 do is plug in 4 for the value of x.
Step-by-step explanation:
Need help Identify three solutions of the graph shown
Answers
(4, -5)
(3, -3)
(1, 1)
(0, 3)
(-1, 5)
and so on.
The ratio of boy to girls in a class is 3 : 2. there are 15 boys in the class. how many total boys and girls are in the class?
a.15
b.23
c.25
d.35
Answers
the answer is c. 25
expalnation: A 3:2 ratio can be used in a proportion.
3/2=15/girls, girls =15*2÷3=10.
10÷15=25
1.) 2x + y = 3
2.) x - 2y = -1
If equation 1 is multiplied by 2 and then the equations are added, the result is
3x = 2
3x = 5
5x = 5
Answers
If it was any other solution, the equations would'nt make sense
The Sum of 3 consecutive integers is 1,623
Answers
divide 1623 by 3
1623 / 3 = 541
now subtract 1 from that
541-1=540
then add one to 541, 541+1 = 542
540 + 541 + 542 = 1623
the numbers are 540, 541, 542
3x = 1620
x = 540
540, 541, 542 is your answer
hope this helps
John paid $100 for renting a canoe for 5 hours. Which graph shows the relationship between the cost of renting a canoe for different hours?
Answers
Hope this helps!
Answer:
Will be the second choice!
Step-by-step explanation:
This is because for 5hours is 100bucks correct?
So if we divide 5by100 it will equal 20.just like 5x20=10 we add and extra 0!
so 5x20=10.
Help me please I don't understand
Answers
Queenbee2005
what's x^2+3x-3=0 in radical and decimal form
Answers
x^2+3-3: x^2
x^2=0
radical form