Answers
Answer:
11). m∠W = 70°
12). m∠M = 95°
13). m∠Q = 135°
14). m∠Q = 55°
15). m∠X = 110°
Step-by-step explanation:
11). m∠W + m∠X = 180° [Consecutive interior angles]
(24x - 2) + (36x + 2) = 180°
60x = 180°
x = [tex]\frac{180}{60}[/tex]
x = 3
Therefore, m∠W = (24x - 2)°
m∠W = (24×3 - 2)
= 72 - 2
= 70°
Since opposite angles of a parallelogram are equal in measure.
m∠Y = m∠W = 70°
12). m∠J + m∠K = 180° [Consecutive interior angles]
(6x + 19) + (8x + 7) = 180°
14x + 26 = 180
14x = 180 - 26
14x = 154
x = [tex]\frac{154}{14}[/tex]
x = 11
m∠K = (8x + 7)
m∠K = 8×11 + 7
m∠K = 95°
Since m∠M = m∠K
Therefore, m∠M = 95°
13). m∠Q = m∠S [Opposite angles of a parallelogram]
x + 135 = 2x + 135
2x - x = 0
x = 0
Therefore, m∠Q = 135°
14). m∠Q = m∠S [Opposite angles of a parallelogram]
14x - 1 = 13x + 3
14x - 13x = 3 + 1
x = 4
m∠Q = (13x + 3)
= 13×4 + 3
= 52 + 3
m∠Q = 55°
15). m∠Z = m∠X
(19x - 4) = (17x + 8)
19x - 17x = 12
2x = 12
x = 6
m∠X = (17x + 8)°
m∠X = 17×6 + 8
m∠X = 110°
Related Questions
39 calls in 6.5 days is ______ calls per day? *
Answers
Answer:
39/6.5=6 calls per day
Answer:
6
Step-by-step explanation:
6 ( 6.5)= 39
is six hundred seventy-two thousand__0.8 is it greater than less than or equal to 5th grade mathhh
Answers
Answer:
Equal to grade 5 math.
The sum of three consecutive integers is 915. What are the integers?
A. 304, 306, 308
B. 305, 306, 307
C. 300, 300, 315
D. 304, 305, 306
Answers
Answer:
304,305,306
Step-by-step explanation:
x +x+1+x+2=915
3x+3=915
3x=915-3
3x=912
x=304
The three consecutive integers are 304, 305 and 306, option D is correct.
What is Number system?A number system is defined as a system of writing to express numbers.
Let the three consecutive numbers be x, x+1 and x+2
Sum of three consecutive integers is 915.
x+x+1+x+2=915
3x+3=915
Subtract 3 on both sides
3x=912
Divide both sides by 3
x=304
Hence, the three consecutive integers are 304, 305 and 306, option D is correct.
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Which equation describes the line that passes through points (2,5) and (0,9)?
Answers
A taxi charges a flat rate of $3.00 plus $1.50 per mile. If Xander has $45.00, what inequality represents m, the distances in miles he can travel in the taxi?
Answers
Answer:
1 1/5
Step-by-step explanation:
48/40 = 1 8/40
1 8/40 Simplify to 1 1/5
Hope this helps!
Answer:
D. m≤28
Step-by-step explanation:
Just trust me my friendings
Which equation has only one solution?
Answers
Answer:
last option x would =.5
Step-by-step explanation:
Answer:
Step-by-step explanation:
gay
Jerold takes out a 60-month loan for $21,500. At a 1% interest rate, what is his monthly payment?
use Amortization formula:
a) $295
b) $315
c) $321
d) $368
Answers
Answer:
D
Step-by-step explanation:
In 2005 a house was purchased for $280,000 and
in 2013 it was sold at $334,000. Assuming that
the value of the house increased at a constant
annual rate what will be the price of the house in
the year 2018?
Answers
Given that in 2005 a house was purchases for 280,000 and was later sold in 2013 for 334,000, determine the increase value of the house and what the price of the house will be in 2018.
First, we subtract the two values of the house on both dates.
334,000 - 280,000 = 54,000
Then, divide the difference by the amount of years from 2005 to 2013.
54,000/8 = 6,750
Since, it says the value increases at a constant rate, this indicates that it is a linear function.
So, the linear function would start at 280,000 as the y-intercept and the slope is 6,750.
Linear Function: y = 6750x + 280,000
Lastly, to find the price of the house in 2018, we just need to plug in 13 for x since x represents the years.
y = 6750x + 280,000
Plug in 13 for x.
y = 6750(13) + 280,000
y = 87750 + 280,000
y = 367,750
Thus, the value of the house in 2018 is $367,750.
Linda is building steps for her porch. What is the volume of the steps?
144,000 cm3
288,000 cm3
324,000 cm3
540,000 cm3
Answers
Answer:
The volume of the steps is:
324,000 cm3Step-by-step explanation:
Remember that the volume regularly is:
Volume = height * width * depth.There are many forms to solve this exercise, but I'll show you two:
1. Imagine that aren't steps but a big solid, then its volume would be:
Volume of big solid = 60 cm * 60 cm * 120 cm Volume of big solid = 432000 cm3Now you can subtract the volume of a small solid with measures 30 cm * 30 cm * 120 cm (where is the blank for the step):
Volume of a small solid = 30 cm * 30 cm * 120 cm Volume of a small solid = 108000 cm3Now you subtract:
Volume of the building steps = 432000 cm3 - 108000 cm3 Volume of the building steps = 324000 cm32. The building steps are formed by three solid with volume 30 cm * 30 cm * 120 cm, so:
Volume of the building steps = 3 (30 cm * 30 cm * 120 cm) Volume of the building steps = 324000 cm34(1 - x) + 3x = - 2(x + 1)
Answers
Answer:
X=-6
Step-by-step explanation:
4(1−x)+3x=−2(x+1)
(4)(1)+(4)(−x)+3x=(−2)(x)+(−2)(1)(Distribute)
4+−4x+3x=−2x+−2
(−4x+3x)+(4)=−2x−2(Combine Like Terms)
−x+4=−2x−2
−x+4=−2x−2
Step 2: Add 2x to both sides.
−x+4+2x=−2x−2+2x
x+4=−2
Step 3: Subtract 4 from both sides.
x+4−4=−2−4
x=−6
Answer:
x=−6
Answer:
x=-2
Step-by-step explanation:
4 - 4x + 3x=-2x -2
4 -1x=-2x -2
4= -1x -2
2=-1x
x=-2
In Pennsylvania, the state sales tax is 6%. A book costs $11.50 and a video game costs $65. Rounded to the nearest cent, how much more is the tax on the video game than the tax on the book?
A.$4.59
B.$3.90
C.$3.21
D.$0.69
Answers
Answer:
The answer is $4.59
Step-by-step explanation:
You have to add the two prices, divide by 100, and multiply by 6
Please help me with this question. Will give 10 points.
Answers
Answer:
x = 2.99
Step-by-step explanation:
We can use ratios to solve
5.4 2.6
--------- = ---------
6.21 x
Using cross products
5.4x = 2.6* 6.21
5.4x =16.146
Divide each side by 5.4
5.4x = 16.146/5.4
x = 2.99
Radon-219 has a half-life of about 4 s.
After 20 s, how many milligrams of a 500 mg sample will remain?
435.3 mg
211.6 mg
31.3 mg
15.6 mg
Help please I’ll make you the brainliest if right
Answers
Answer:
15.6 mg
Step-by-step explanation:
First 4 s- 500/2= 250 mg
After 8 s- 250/2= 125 mg
After 12 s- 125/2= 62.5 mg
After 16 s- 62.5/2= 31.25 mg
At 20 s- 31.25/2= 15.625 mg
The milligrams of a 500 mg sample will remain at 15.625 mg.
We have given that,
5.6 mg
Radon-219 has a half-life of about 4 s.
What is the sample?A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger population.
After 20 s,
First 4 s- 500/2= 250 mg
After 8 s- 250/2= 125 mg
After 12 s- 125/2= 62.5 mg
After 16 s- 62.5/2= 31.25 mg
At 20 s- 31.25/2= 15.625 mg
Therefore, the milligrams of a 500 mg sample will remain 15.625 mg.
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Can someone help me with this question?
Answers
Answer:
Answer is D
Step-by-step explanation:
$12 x 4 = $48
$68 - $4 = $20
Y= $20(her bonus)
X= 4
20(y) - 68 = 12(x - 4)
HELP ASAP PLEASE I WILL GIVE YOU THE POINTS !!
What is the area of this polygon?
Enter your answer in the box.
Answers
Answer:
51 units2
Step-by-step explanation:
42 + 9 = 51 units2
In a statistics class, 10 scores were randomly selected with the following results (mean = 71.5): 74, 73, 77, 77, 71, 68, 65, 77, 67, 66. What is the range?
Answers
Answer:
Range: 12
Step-by-step explanation:
65, 66, 67, 68, 71, 73, 74, 77, 77, 77
Formula:
Range: highest value - lowest value = final answer
Range: 77 - 65 = 12
If the volume of a sphere inscribed in a cubic box is 36pi, find the surface area of the box
Answers
Answer:
Surface area of the cube = 216 square units
Step-by-step explanation:
Let the length of a side of a cube = x unit
Diameter of the sphere inscribed in this cube = length of a side of the cube
Volume of the sphere = [tex]\frac{4}{3}\pi r^{3}[/tex]
Where r = radius of the sphere = [tex]\frac{x}{2}[/tex] units
36π = [tex]\frac{4}{3}\pi (\frac{x}{2})^{3}[/tex]
36π = [tex]\frac{4x^{3}\pi }{24}[/tex]
36×24 = 4x³
x = [tex]\sqrt[3]{\frac{36\times 24}{4} }[/tex]
x = 6 units
Length of a side of the cube = 6 units
Surface area of the cube = 6×(Side)²
= 6×(6)²
= 216
= 216 square units
PLEASE can someone help with this??IT IS important
Answers
Answer:
1) x=5 so angles are 25°, 80° and 75°
Step-by-step explanation:
The angles of a triangle should add up to 180. So e.g., for the first one, you know that
5x + 16x + 15x = 180
so
36x = 180
x = 5
Answer:
4
Step-by-step explanation:
I, m
The volume of a solid cylinder is 1584 cubic cm and its height is 14 cm. The radius is
Answers
Answer: 6 cm
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder (V): π x radius ² x height
Replacing with the values given and solving for v (Volume)
1584 = π x r ² x 14
Solving for r:
1584 / (π x 14) = r²
36.01 = r²
√36.01 = r
6 cm = r
In conclusion, the radius of the cylinder is 6 centimeters.
Feel free to ask for more if needed or if you did not understand something.
Answer:
The radius is 6 cm
Step-by-step explanation:
To solve this, we will follow the steps below:
write down the formula for finding the volume of a cylinder
volume of a cylinder =πr²h
from the question volume of the cylinder = 1584 cm²
height = 14 cm
substitute the formula and solve for r
π is a constant and is ≈ 3.14
1584 = 3.14×r²×14
1584= 43.96 r²
divide both-side of the equation by 43.96
36≈ r²
take the square root of both-side
√36 = √r²
6 = r
r = 6cm
The radius is 6 cm
Solve the equation, 2x + 1 = 3, for x. Which of the following properties of equality did you apply? Question 8 options: A) Subtraction and multiplication B) Addition and division C) Addition and multiplication D) Subtraction and division
Answers
Answer:
2x+1=3
2x=3-1
(Subtraction)
x=1
(Division)
(subtract and divide)
subtraction and division
What is the greatest common factor of 4x5y2+16x3y4−8x6y3?
Answers
Answer:
4x^3y^2
Step-by-step explanation:
Then the remaining would be
x^2+4y^2-2x^3y
Answer:
4x^3y^2
Step-by-step explanation:
Please refer to the picture attached.
At the beginning of the month, a rain barrel contained 12 ounces of water. At the end of the month there are 8 1/4 cups of water in the rain barrel.
How many cups of rain water were added to the barrel during the month?
Answers
Answer:
The cups of rain water that were added to the barrel during the month is:
6.75 cups.Step-by-step explanation:
First, you must know the conversion units between ounces and cups:
1 cup = 8 ounces.Then, at the beginning of the month, the rain barrel contained 12 ounces, what is in cups:
1 cup = 8 ounces. X = 12 onces.We operate:
X = (12 * 1) / 8 X = 1.5 cupsNow, how at the end of the month there are 8 1/4 cups of water in the rain barrel, in a decimal number it is equal to:
8 1/4 cups = 8.25 cupsTo know what is the cups of rainwater were added to the barrel during the month, you must subtract the number of cups at the beginning of the month to the number of cups at the end of the month:
Cups of rainwater that were added = 8.25 cups - 1.5 cups Cups of rainwater that were added = 6.75 cups.Answer:
6.75
Step-by-step explanation:
i just took the test
HELP ME PLEASSEE!!! ASAP!!!!!!!
Mindy, a local artist, sells a piece of art at the pizza shop for $15, and the shop takes 15 percent commission. Instead of receiving money, Mindy would like a $12 pizza, including 5 percent sales tax. Is this a fair trade? Explain how to find the solution. Please answer quickly!! I have seen many other answers to this question, however, I don't see anybody who answered the sales tax. What does the sales tax mean??? Do you add it to the $12 pizza???
ASAP PLEASE!!!
Answers
Now if the 15% commission was it, it would be 2.25$, leaving 12.75$ after.
So it wasn’t multiple choice, but if mindy gets a pizza, that’d be losing 0.15$ each time instead of paying commission
I suck at math tho
Which line plot displays a data set with an outlier?
Thank you
WILL MARK BRAINLIEST
Answers
｡☆✼★ ━━━━━━━━━━━━━━ ☾
It would be the last graph (bottom right)
An outlier is a point that is much further away from the rest of the data
As you can see, that graph has one piece of data that is much further away from the rest of the data
Have A Nice Day ❤
Stay Brainly! ヅ
- Ally ✧
｡☆✼★ ━━━━━━━━━━━━━━ ☾
A bike that you really want is on sale of 15% off... If it is normally $83.99, how much would it now that it is on sale?
Answers
Answer
$71.4Step-by-step explanation:
[tex]83.99 \times \frac{15}{100} \\ = 12.59[/tex]
Now let's find the new price of the bike.
[tex]83.99 - 12.59 \\ = 71.4 \\ [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Help me out with this question look at the picture
Answers
Answer:
B.
Step-by-step explanation:
The dots are completely random.
please help!!!! I need the answers.
Answers
Answer:
Angle A: 40°
Angle B: 50°
Angle C: 90°
Side A: 14
Side B: 12
Side C: 11.2 or 11 if you round to the nearest whole number.
Step-by-step explanation:
Angle A;
Since we know angles B and C we can use those to help us find angle since all three angles should add up to 180°.
90-50=40
Angle A= 40°
Side C;
Since we know all the angles now and the other two side lengths, we will use those to help us find Side C.
cos 40°= C/14
C/14= cos 40°
C/14= .8
C= .8 x 14
C= 11.2
Hope this helps! Have a great day! :)
Which value of b would make x^2 + bx- 2 factorable? -2 -1 0 3
Answers
Answer:
3
Step-by-step explanation:
Work backwards in this problem:
(x+1)(x+2)
x^2+x+2x+2
x^2+3x+2
b=3
What is the slope of the line given by the equation y= -3x
Answers
Answer:
-3
Step-by-step explanation:
The given equation is in slope intercept form.
The form is y=mx+b
This is where "m" is the slope, and "b" is the y intercept.
So in this equation, m=-3.
Therefore, the slope is -3.
Which line segment could be mid segment of abc? 21 points!!!!
Answers
Answer:
DF
Step-by-step explanation:
the mid segment is a line that connects the midpoints.
Answer:
DF or option 3
Step-by-step explanation:
DF, since it connects midpoints of sides AB and CB and is parallel to one side: AC
Thus the answer is DF or option 3