Answers
Part a: Option c: [tex]3x+90+x-14=180[/tex]
Part b: The value of x is 26
Explanation:
Part a:
Option a: [tex]3x+x-14=180[/tex]
Since, adding all the angles in the straight line results in 180°, and only two of the three angles were added in the equation to find the value of x.
Thus, the equation [tex]3x+x-14=180[/tex] cannot be used to determine the value of x.
Hence, Option a is not the correct answer.
Option b: [tex]3x+90+x-14=90[/tex]
Adding all the angles in the straight line results in 180°.
Thus, adding all the angles does not equals to 90°
Hence, the equation [tex]3x+90+x-14=90[/tex] cannot be used to determine the value of x.
Hence, option b is not the correct answer.
Option c: [tex]3x+90+x-14=180[/tex]
Since, the straight line is 180° and thus adding the angles in this straight line will result in 180°
Thus, the angles in this straight line are 3x, 90° and x-14.
Hence, adding these angles will result in 180°
Thus, the equation becomes
[tex]3x+90+x-14=180[/tex]
Hence, the equation used to determine the value of x is [tex]3x+90+x-14=180[/tex]
Thus, Option c is the correct answer.
Option d: [tex]4x+90=360[/tex]
Adding all the angles in the straight line results in 180°.
Since, not all the three angles were added in this equation and the equation equals to 180°
Hence, the equation [tex]4x+90=360[/tex] cannot be used to determine the value of x.
Thus, Option d is not the correct answer.
Part b:
To determine the value of x, we shall add all the angles of the equation [tex]3x+90+x-14=180[/tex]
Thus, we get,
[tex]4x+76=180[/tex]
Subtracting both sides by 76,
[tex]4x=104[/tex]
Dividing both sides by 4, we get,
[tex]x=26[/tex]
Thus, the value of x is 26.
Related Questions
What is wrong with this solution?
-5m - 16 = 19
5m - 16 + 16 = 19 + 16
Step One:
Step Two:
Solution:
m = 7
Answers
Final answer:
The solution shown is incorrect because the equation is not simplified before performing operations.
Explanation:
The solution shown is incorrect. Let's go step by step to find the error:
Step One: -5m - 16 = 19
Step Two: 5m - 16 + 16 = 19 + 16
Step Three: 5m = 35
Step Four: Divide both sides by 5: m = 7
The mistake in the solution occurs in Step Two. The previous equation should be simplified to 5m = 35 before dividing by 5. The addition of 16 on both sides should be taken care of first by canceling it out, resulting in 5m = 35 instead of 5m + 0 = 35.
Therefore, the correct solution is m = 7.
Final answer:
The solution to the equation -5m - 16 = 19 is m = -7, not m = 7. The student initially misplaced the sign after dividing by -5.
Explanation:
The student has made a mistake in the initial steps of solving the equation -5m - 16 = 19. The correction process involves isolating the variable m on one side of the equation to find its value.
Step One
Add 16 to both sides of the equation to eliminate the -16:
-5m - 16 + 16 = 19 + 16
-5m = 35
Step Two
Divide both sides by -5 to solve for m:
-5m / -5 = 35 / -5
m = -7
The correct solution is m = -7, not m = 7. It is important to follow the addition rules and subtraction rules carefully and to remember to divide by the coefficient of m, which in this case is -5, resulting in changing the sign of the solution.
3. You want to leave a tip for a meal that
costs $17.95. If all you have is $3.00, what
percentage tip will you be able to leave?
Answers
Answer:
17%
Step-by-step explanation:
3/17.95 = 0.167
0.167 × 100 = 16.7 *rounding to 17
12.95 × 0.17 = 3.0515
What is the answer to 4•4+4(5-2)+7
Answers
Answer:
35
Step-by-step explanation:
4 x 4+4(5-2)+7
4 x 4+4(3)+7
16+12+7
28+7
35
use the completing the square method to solve the equation x^2 + 16x + 2.
Answers
x = - 0.12 or - 15.87
Step-by-step explanation:
Step 1: Divide the equation with the coefficient of [tex]x^{2}[/tex]. In this case, coefficient of Step 2: Move the number term to the right hand side of the equation. Now, the equation becomes [tex]x^{2} + 16x = -2[/tex]Step 3: Complete the square in the left hand side of the equation and then add the same number to the right hand side to balance the equation. Now, equation becomes [tex]x^{2} +16x+64 = -2+64[/tex] So, [tex]x^{2} +16x+64 = 62[/tex] [tex]ie, (x+8)^{2} = 62[/tex] Step 4: Take the square root of both sides. Therefore, [tex]x+8 = \sqrt{62}[/tex] So, [tex]x =[/tex] ± [tex]7.87 - 8[/tex]Therefore, [tex]x = -0.12, -15.87[/tex]
What is 4/9 as a decimal
Answers
Answer:
0.4 and alot of other 4's
Step-by-step explanation:
Answer:
.44444444 repeating
Any number less than 9 over 9 will be itself forever after a decimal point
Step-by-step explanation:
A principle of $20,000 is invested at $6.25 and earns $10,000 simple interest how long has the money been invested
Answers
Answer:
1600
Step-by-step explanation:
Assuming $6.25 is the interest earned annually,
Let n be the no. of years
Then,
6.25 × n = 10000
n = 10000/6.25
n = 1600
If a circle has a radius of 12 feet, whats its circumference most nearly?
Answers
Answer:24π feets
Step-by-step explanation:
Since the circumference C= 2πr and r=12
C= 2x12xπ
C=24π
Michael is organizing a game of chance for his class. He asks each student to pick a ribbon from a bag and then put it back into the bag. The bag has 12 yellow ribbons, 7 red ribbons, and 3 blue ribbons. If Jane picks a ribbon, what is the probability that the ribbon will be yellow and what is the likelihood of this event?
A.
The probability is 1, and the event is certain.
B.
The probability is 3/11 , and the event is likely.
C.
The probability is 6/11, and the event is unlikely.
D.
The probability is 6/11 , and the event is neither likely nor unlikely.
Answers
Answer:
D. The probability is 6/11, and the event is neither likely nor unlikely
Step-by-step explanation:
54% = 6/11
Answer:
D
Step-by-step explanation:
For what value of x is the rational expression below equal to zero?
X-4/x-6
Answers
Answer:
Step-by-step explanation:
When x equals to 4
4-4 = 0
-------------
4-6 = -2
0/-2 = 0
The rational expression X-4/x-6 equals zero when X equals 4, as long as the denominator is not zero, which avoids division by zero.
The question asks: For what value of x is the rational expression below equal to zero? The expression given is X-4/x-6. To find when this expression is equal to zero, we need to understand that a rational expression equals zero when its numerator is zero (and the denominator is not zero, to avoid division by zero).
To solve X-4 = 0, we simply add 4 to both sides of the equation, getting X = 4. This means that the rational expression is equal to zero when X equals 4, given that X is not equal to 6 to avoid making the denominator zero, which would be undefined. Hence, the value of X that satisfies the condition is 4.
the sum of 7 times a number and 9 is 4
Answers
Ans: 7x+4=9
-2 square root 20- square root 125
Answers
Answer:-5.93958251....
Step-by-step explanation:
To simplify the expression -2√20 - √125, we first factored the square roots, realizing that √20 equals 2√5 and √125 equals 5√5. Plugging these back into the equation, we then combined like terms to get the final answer of -9√5.
The question asks to simplify the expression -2√20 - √125.
First, let's simplify the square roots by factoring out squares from under the radical:
√20 = √(4×5) = √4√5 = 2√5√125 = √(25×5) = √25√5 = 5√5Now let's substitute these simplified forms back into the original equation and simplify:
-2(2√5) - 5√5 = -4√5 - 5√5
Combine like terms to get the final simplified result:
-9√5
complete question given below:
simplify -2 square root 20- square root 125
a. 8% of ? = 20
b. 75% of ? = 30
c. 20% of ? = 45
d. 150% of ? = 36
Answers
Answer:
A. 250
B.40
C.225
D.24
Step-by-step explanation:
20/0.08 = 250
30/0.75 = 40
45/0.2 = 225
36/1.5 = 24
Answer:
a. 8% of 250 = 20
b. 75% of 40 = 30
c. 20% of 225 = 45
d. 150% of 24 = 36
Step-by-step explanation:
20×100÷8
=250
30×100÷75
=40
45×100÷20
=225
36×100÷150
=24
The high temperature on Monday was -14 F.on Tuesday the high temperature was 24 F. What is the difference in high temperatures on theses 2 days
Answers
=24+14 F
=38 F
Which of the following equations would result in destructive interference with the wave y= -2sin(2pi/3 x)?
A.) y= -2sin(2pi/3 x)
B.) y=2sin(2pi/3 x)
C.) y= -2sin 3pi/2 x)
D.) y=2sin (3pi/2 x)
Answers
Answer:
B: 0.449 secs
A, C, and D: y=2sin(pi/5x), y=2sin(pi/10x), y=2sin(10pi x)
B: y=2sin(2pi/3x)
Answer:
B. y=2sin(2pi/3x)
Step-by-step explanation:
Find the missing side length of S
Answers
Answer:
s=12
Step-by-step explanation:
Since we know that triangle ABC is similar to XYZ, we know that the side lengths will be proportional to one another. As such, we should take a ratio to determine the side length of s.
[tex]\frac{XY}{AB}=\frac{XZ}{AC}\\\\\frac{9}{6} =\frac{s}{8}\\\frac{8*9}{6} =s\\s=72/6=12\\s=12[/tex]
The green dots must make up a triangle 1/3 of the original picture PLZ HELP
Answers
Consider Point P to be (0,0) count the grid lines to find the location of points A, B and C
A=. (-6,-3)
B = (-9,6)
C =(3,9)
Now the scale is 1/3. So divide all the points by 3 to get the new location and place the green dots on them:
A’=(-2,-1)
B’ =(-3,2)
C’ =(1,3)
You received an order for a 28-day supply for Propranolol HCI 120mg tablets po q.i.d. to prevent post M I reinfection How many tablets will be dispensed for the 28-day supply?
Answers
112 tablets will be dispensed for the 28-day supply.
Step-by-step explanation:
Given:
Received an order of 120 mg tablet po q.i.d. for a 28-day supply.
Here in medical prescription, the term 'po' and 'q.i.d' means a lot to understand the question.
In medical prescription, the term 'po' refers the treatment that should be taken orally. i.e. by opening mouth or the way of openingIn medical prescription, the term 'q.i.d' refers four times in a day.Therefore, to find the number of tablets need to be dispensed for 28- day supply is given by,
[tex]number\ of\ the\ tablet\ for\ 28- day \times number of tablets taken in a day =28 \times 4[/tex]
tablets to be dispensed for the 28-day supply = 112 tablets.
Substitute x+3y=4
2x-6y=8
Answers
Answer:
x=4, y=0. (4, 0).
Step-by-step explanation:
x+3y=4
2x-6y=8
------------
x=4-3y
2(4-3y)-6y=8
8-6y-6y=8
8-12y=8
12y=8-8
12y=0
y=0/12
y=0
x+3(0)=4
x+0=4
x=4-0
x=4
Chang drove 315 miles in 5 hours.
At the same rate, how long would it take him to drive 567 miles?
I hours
Answers
Answer:
AROUND 6-7 HOURS
Step-by-step explanation:
What is the scale factor on the map (10 points
Answers
Answer:
2785
Step-by-step explanation:
d - 10 - 2d + 7 = 8 + d - 10 - 30
Answers
Answer:
[tex]d=14.5[/tex]
Step-by-step explanation:
Given equation:
[tex]d - 10 - 2d + 7 = 8 + d - 10 - 30[/tex]
To solve the equation for 'd', take the terms of 'd' to one side and the constants to the other side.
[tex]d - 2d - d = 8 - 10 - 30- 7+10[/tex]
[tex]-2d=8-30-7\\-2d=1-30\\-2d=-29\\ d=\frac{29}{2}\\ d=14.5[/tex]
On, solving the equation the value of 'd' is [tex]d=14.5[/tex]
Eden spent half of her weekly allowance on candy. To earn more money her parents let her weed the garden for $5. What is her weekly allowance if she ended with 12?
Answers
Answer:
her weekly allowance would be 7
Step-by-step explanation:
Answer:
$24
Step-by-step explanation:
12 is 1/2 of 24.
So, when she weeds the garden, she will have $17.
If she gets her weekly allowance and the $5, she will have $41, assuming she doesn't spend any of the money she already has.
Solve the equation for y plz -1.2y-4.2y=-3.78
Answers
Answer:
y=0.7
Step-by-step explanation:
-1.2y-4.2y=-3.78
Simplify:
-5.4y=-3.78
5.4y=3.78
3.78/5.4=0.7
y=0.7
I had 20 dollars and earned 15, leaving me with 35. What is the percent that it increased in pay?
Answers
Answer:
42.8%
Step-by-step explanation:
I asked Alexa lol
Answer:
The answer is 40%
Step By Step Explanation:
The reason why is because if you do 10 divided by 25 you get 0.40 and then if you multiply it you get 40 = 40%
Solve for y.
2(-4y + x) = 4
Answers
Answer:
Step-by-step explanation:
-4y + X = 2
-4y = 2 - x
y = 2 - x/ -4
hope this helps!!
The value of y in terms of x is -1/2 + x/4.
To solve for y, we start with the equation 2(-4y + x) = 4.
Distribute the 2 inside the parentheses: -8y + 2x = 4.
Move the term with x over to the other side by subtracting 2x from both sides: -8y = 4 - 2x.
Isolate the y by dividing both sides by -8: y = (4 - 2x) / -8.
Simplify the right side by dividing both terms by -8: y = -1/2 + x/4.
At midnight the temperature is -6°C. At midday the temperature is 9°C. By how much did the temperature rise?
Answers
Answer:
15 degrees
Step-by-step explanation:
It went from -6 to 0 which is 6 degrees of change then from 0 to 9 degrees which is 9 degrees of change 9+6=15
The amount of temperature that has been increased from midnight to midday is 15°C.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Midnight temperature = -6°C
Midday temperature = 9°C
The difference between the temperature.
= 9 - (-6)
= 9 + 6
= 15°C.
Thus,
The temperature is raised by 15°C.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Write an expression in simplest form to represent the area of the shaded region
3x+2 2x 3x 4x
Answers
explication:
2x+3x= 5x
5x+3x= 8x
8x+4x= 12x + 2
What is 4 equal expressions to 4(2x^2+16)
Answers
Answer:
8x^2+64
Step-by-step explanation:
The length of a rectangle is 2 units more than the width. The area is 63 units. What is the width, in units, of the rectangle?
Answers
(The length of a rectangle is 2 units more than the width)
L = w + 2
(The area is 63 units)
L * w = 63
Since we already know the value of L ('w + 2'), we can simply input that into the equation to solve for area:
L * w = 63
(w + 2) * w = 63
w^2 + 2w = 63
Subtract both sides by 63:
w^2 + 2w - 63 = 0
Factor:
(w + 9)(w - 7) = 0
We get two answers:
{-9, 7}
Since the width can't be negative, the only possible answer is 7.
w = 7
We can input 'w' into the first equation:
L = 7 + 2
L = 9
The width is 7 units, and the length is 9 units,
-T.B.
Answer:
the width is 7. i just did this in deltamath
Step-by-step explanation:
Movies are on sale for 1/4 the original price. If the original price is $20, which expression gives the sale price?