Answers
Answer:
D. 161°
Step-by-step explanation:
m<2 is congruent to m<4, m<1 is congruent to m<3 by properties of a parallelogram
to find x:
4x-17=3x-8
x-17=-8
x=9
m<4=3(9)-8=19
so, m<4=19°
m<2 =19°
to find m<1:
the interior angles of a parallelogram add up to 360°
360-2(19)=2x
2x=360-38
2x=322
x=161°
m<1=161°
Related Questions
A stretch of highway has a 4% uphill grade. This means that the road rises 1 foot for every 25 feet of horizontal distance. The beginning of the highway (x = 0) has an elevation of 2,225 feet. Write an equation for this stretch of roadway ini point-slope form.
Answers
Answer:
The equation for this stretch of roadway in point-slope form is [tex]y - 2225 = 0.04x[/tex]
Step-by-step explanation:
Equation in point-slope form:
The equation of a line in point-slope form is given by:
[tex]y - y_0 = m(x - x_0)[/tex]
In which [tex](x_0,y_0)[/tex] is the point and m is the slope.
A stretch of highway has a 4% uphill grade. This means that the road rises 1 foot for every 25 feet of horizontal distance.
This means that [tex]m = 0.04[/tex]
The beginning of the highway (x = 0) has an elevation of 2,225 feet.
This means that [tex](x_0,y_0) = (0,2255)[/tex]. So
[tex]y - y_0 = m(x - x_0)[/tex]
[tex]y - 2225 = 0.04(x - 0)[/tex]
[tex]y - 2225 = 0.04x[/tex]
The equation for this stretch of roadway in point-slope form is [tex]y - 2225 = 0.04x[/tex]
William friend has 18 dogs 14 cats and 4 guinea pigs what are the ratio
Answers
Answer:
18:14:4
Step-by-step explanation:
Cats to dogs: 3 to 4 or 3/4 or 3:4 There are three cats to four dogs. Dogs to cats: 4 to 3 or 4/3 or 4:3 There are four dogs to three cats. Cats to total animals: 3 to 7 or 3/7 or 3:7 There are three cats to all the animals. Dogs to total animals: 4 to 7 or 4/7 or 4:7 There are four cats to all the animals.
what is the value of x in the equation 3.5x = 105
Answers
Answer:
x=30
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
105/3.5=30
Find the equation of the line parallel to y=-11-5, that passes through the point
(4, -3). Write your answer in slope-intercept form. Do not use spaces in your
answer. Enter any fractions like a/b or-a/b.
Answers
Answer:
y=41−11x
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=5−11x.
The slope of the parallel line is the same: m=−11.
So, the equation of the parallel line is y=−11x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.
Thus, a=41.
Therefore, the equation of the line is y=41−11x.
Answer: y=41−11x.
Answer:
y=41−11x
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=5−11x.
The slope of the parallel line is the same: m=−11.
So, the equation of the parallel line is y=−11x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−11)⋅(4)+a.
Thus, a=41.
Therefore, the equation of the line is y=41−11x.
The Office of Student Services at a large western state university maintains information on the study habits of its full-time students. Their studies indicate that the mean amount of time undergraduate students study per week is 20 hours. The hours studied follows the normal distribution with a population standard deviation of six hours. Suppose we select a random sample of 150 current students. What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours
Answers
Answer:
0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Mean of 20 hours, standard deviation of 6:
This means that [tex]\mu = 20, \sigma = 6[/tex]
Sample of 150:
This means that [tex]n = 150, s = \frac{6}{\sqrt{150}}[/tex]
What is the probability that the mean of this sample is between 19.25 hours and 21.0 hours?
This is the p-value of Z when X = 21 subtracted by the p-value of Z when X = 19.5. So
X = 21
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{21 - 20}{\frac{6}{\sqrt{150}}}[/tex]
[tex]Z = 2.04[/tex]
[tex]Z = 2.04[/tex] has a p-value of 0.9793
X = 19.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{19.5 - 20}{\frac{6}{\sqrt{150}}}[/tex]
[tex]Z = -1.02[/tex]
[tex]Z = -1.02[/tex] has a p-value of 0.1539
0.9793 - 0.1539 = 0.8254
0.8254 = 82.54% probability that the mean of this sample is between 19.25 hours and 21.0 hours
The right rectangular prism is filled with cubes that have a side length of 1/8 foot.
How many cubes does it take to fill the prism? (please just give me an exact answer.) (I WILL GIVE BRAINLIST) (please just help me)
Answers
Answer:
24
Step-by-step explanation:
To find the volume of the cube just cube one of the sides, so 1/8^3 is 1/512
Yes it's the actual volume, it didn't get smaller it's just cubic inches instead of a line.
The rectangle's volume is 1/4*3/8*1/2 which if you change them to have the same denominator it's 2/8*3/8*4/8=3/64
Now convert 3/64 to have a denominator of 512
3/64*8/8= 24/512
24/512 divided by 1/512 is 24
You can fit 24 cubes in the rectangle.
Mary walks from comer D to comer E to comer F on a city block that measures 264 feet wide and 900 feet long. Kate walks
diagonally across the city block from comer D to comer F. How much less distance did Kate walk than Mary to get to comer
F? Round your answer to the nearest whole foot. Enter only the number.
D
900 feet
264 feet
The solution is
Answers
Answer:
Difference between the distances traveled by Mary and Kate = 226 feet
Step-by-step explanation:
By applying Pythagoras theorem in right ΔDEF,
(DE)² + (EF)² = (DF)²
By substituting DE = 264 feet and EF = 900 feet
(264)² + (900)² = (DF)²
DF = √(69696+810000)
= √879696
= 937.92
Distance traveled by Kate diagonally = 938 feet
Distance traveled by Mary = DE + EF
= 264 + 900
= 1164 feet
Difference between the distances traveled by Mary and Kate = DF - (DE + EF)
= 1164 - 937.92
= 226.07
≈ 226 feet
what is a set of ordered pairs of real numbers ?
Answers
Answer:
order pair of real number is (2,3) is given by the first number 2 and the second number 3 Example (a,b).
what fraction is equal to 50% of 1/3?
Answers
Step-by-step explanation:
50% × 1/3
= 1/2 × 1/3
= 1/6
-------
if emma had 3/9 cookie's and sophia had 9/8 how much wood that be in all
Answers
That should be the answer I'm not a 100% sure
The diameter of a cylindrical construction pipe is 6ft. If the pipe is 32 long, what is its volume?
Use the value 3.14 for pie , and round your answer to the nearest whole number.
Be sure to include the correct unit in your answer.
Answers
Answer:
[tex] V_{pipe} \approx 904 \: {ft}^{3} [/tex]
Step-by-step explanation:
Diameter of the pipe = 6 ft
Therefore, radius (r) = 6/2 = 3 ft
Height of pipe (h) = 32 ft
Since, pipe is cylindrical in shape.
[tex] \therefore \: V_{pipe} =\pi {r}^{2} h \\ \\ \therefore \: V_{pipe} =3.14 {(3)}^{2} (32)\\ \\ \therefore \: V_{pipe} =3.14 {(3)}^{2} (32) \\ \\ \therefore \: V_{pipe} = 904.32 \\ \\ \therefore \: V_{pipe} \approx 904 \: {ft}^{3} [/tex]
Hence, the volume of pipe in nearest whole number is 904 cubic feet.
5.4 / 113.4
Pls show work
Answers
Answer: 21
Have a great day.
Solve the system of equations.
2y+7x=−5
5y−7x=12
Answers
We can solve this by substitution method.
Look at the second equation. If we rearrange to find 7x, we can substitute in the value into the first equation.
[tex]5y-7x=12[/tex]
[tex]5y-7x-12=0[/tex]
[tex]5y-12=7x[/tex]
Therefore, [tex]7x=5y-12[/tex]
Now replace the 7x in the first equation with 5y - 12:
[tex]2y+7x=-5[/tex] (substitute in 7x = 5y - 12)
[tex]2y+(5y-12)=-5[/tex]
[tex]7y-12=-5[/tex]
[tex]7y=7[/tex]
[tex]y=1[/tex]
Now that we know y, we can find x by substituting in y = 1 into any equation we want. I will use the equation: 7x = 5y - 12
[tex]7x=5y-12[/tex] (substitute in y = 1)
[tex]7x=5(1) -12[/tex]
[tex]5x=5-12[/tex]
[tex]7x=-7[/tex]
[tex]x=-1[/tex]
__________________________________________________________
Answer:
[tex]y=1\\x=-1[/tex]
Erin wants to raise her math grade to a 90 to improve her chances of winning a math scholarship. Her math average for the last marking period was an 75. What is the percent increase that Erin needs to improve her grade?
Answers
Answer:
20%
Step-by-step explanation:
She needs to improve her average by the difference between her 2 grades
That difference is 15 points and is a 20% increase
Using the fromula for increase/ initial value x 100= new %
so (90-75)/75 x 100 = 15/75 x 100 which is then equal to 20%
Select the correct answer.
Mariah is shopping for pencils and erasers to give to her piano students. She can purchase at most 50 total items. She wants the
number of pencils purchased to be greater than the square of the number of erasers.
Create a system of inequalities to model this situation, and use it to determine how many of the solutions are viable. Which statement
is true about the solution of this system?
No part of the solution region is viable because the number of pencils and erasers purchased cannot be negative.
Part of the solution region includes a negative number of pencils purchased; therefore, not all solutions are viable for the
given situation
The entire solution region is viable.
Part of the solution region includes a negative number of erasers purchased; therefore, not all solutions are viable for
the given situation.
Answers
Answer:
D. Part of the solution region includes a negative number of erasers purchased; therefore, not all solutions are viable for the given situation.
Step-by-step explanation:
I got it right on the practice
Answer:
Part of the solution region includes a negative number of erasers purchased; therefore, not all solutions are viable for
the given situation.
In the school band, 5/8 of the students play a brass instrument. Only 1/5 of the students who play a brass instrument play the trumpet. What fraction of the band students play the trumpet?
Answers
9514 1404 393
Answer:
1/8
Step-by-step explanation:
1/5 of 5/8 is ...
(1/5)(5/8) = (1·5)/(5·8) = 1/8
1/8 of the band students play the trumpet.
A cooler is in the shape of a right rectangular prism. If the cooler is 3 1/2 feet long, 2 5/6 feet wide, and 1 foot deep, what is the volume of the cooler ?
Answers
Explanation:
1 • 3 1/2 • 2 5/6 = 9 11/12
MARK ME BRAINLIEST TYSM!
Have a nice day/night (о´∀`о)
-SpaceMarsh
15. Which best reflects a correct conversion of an equation in exponential form to logarithmic form?
Answers
Answer:
[tex]5^x = 25[/tex]
[tex]\log_525 = x[/tex]
Step-by-step explanation:
Given
Convert from exponential to logarithm
(a) to (d)
Required
Which of the options is correct
Given that:
[tex]a^b = c[/tex] --- Exponential
The logarithm form is:
[tex]b = \log_ac[/tex]
From (a) to (d), only option (c) is correct.
Because it follows the above pattern
i.e.
[tex]5^x = 25[/tex] [tex]\to[/tex][tex]\to[/tex] [tex]a^b = c[/tex]
[tex]a = 5[/tex] [tex]b = x[/tex] [tex]c = 25[/tex]
[tex]b = \log_ac[/tex] becomes
[tex]x = \log_525[/tex]
or
[tex]\log_525 = x[/tex]
fast brainleist on line and 40
Answers
Answer:
1/40
Step-by-step explanation:
There are 15 doughnuts.
Antoine eats a third of the
doughnuts. How much did he
eat? How many doughnuts are
left?
Answers
15/3 = 5
There are 5 doughnuts left.
If he eats 1/3 of the doughnuts he ate 5 doughnuts and there would be 10 left
A 15 foot ladder leans against the side of a house. The bottom of the ladder is 6 feet away from the side of the house. Find , the angle of elevation of the ladder. Round your answer to the nearest tenth of a degree.
Answers
Answer: [tex]66.42^{\circ}[/tex]
Step-by-step explanation:
Given
Length of the ladder is [tex]L=15\ ft[/tex]
Bottom of the ladder is [tex]6\ ft[/tex] away from the side of the house.
Suppose, ladder is leaning against the wall with angle of elevation [tex]\theta[/tex]
from the figure, we can write
[tex]\Rightarrow \cos \theta=\dfrac{6}{15}\\\\\Rightarrow \cos \theta=\dfrac{2}{5}\\\\\Rightarrow \theta=66.42^{\circ}[/tex]
Thus, the angle of elevation is [tex]66.42^{\circ}[/tex]
Which of the following type of tax is NOT withheld from earnings?
Answers
Answer:
Following what?
Step-by-step explanation:
I'll go with Sales Tax
x + a = c , solve for x
Answers
Answer:
Step-by-step explanation:
x+a=c
x=c-a
Constant of Variation
Given that f(x) = 2/x² and g =(x) = 13/x²
What is the domain of the functions f and g?
a. only positive integers
b. All non zero real numbers
c. only negative integers
d. All real numbers including zero
Please select the best answer from the choices provided
Answers
Answer:
B. All non zero real numbers
Step-by-step explanation:
I calculated it logically
You buy halibut at $19 per pound. One portion of seared halibut requires 6 ounces of halibut. How much does the halibut for one portion cost
Answers
Answer:
$7.125
Step-by-step explanation:
1 lb = 16 oz
Cost per ounce
19 / 16 = $1.1875/oz
Cost for 6 oz portion
6 * 1.1875 = $7.125
If the perimeter of each of the seven regular hexagons in the figure shown is 24, what is the perimeter of the figure?
Answers
Answer:
the answer is 144(that is 6×24)
What is the volume of the cone below?
A. 1022496 units 3
B. 34087 units3
C. 8527 units3
D. 51121 units3
Answers
Answer:
B. 3408π units³
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Cone Formula: [tex]\displaystyle V = \frac{1}{3} \pi r^2h[/tex]
r is radiush is heightStep-by-step explanation:
Step 1: Define
Radius r = 12
Height h = 71
Step 2: Find Volume
Substitute in variables [Volume of a Cone Formula]: [tex]\displaystyle V = \frac{1}{3} \pi (12)^2(71)[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{1}{3} \pi (144)(71)[/tex]Multiply: [tex]\displaystyle V = \frac{1}{3} \pi (10224)[/tex]Multiply: [tex]\displaystyle V = 3408 \pi[/tex]Here's the solution :
we know,
[tex] \boxed{volume = \frac{1}{3} \pi {r}^{2} h}[/tex]
now, let's solve
[tex]v = \dfrac{1}{3} \times \pi \times {12}^{2} \times 71[/tex][tex] \dfrac{\pi}{3} \times 144 \times 71[/tex][tex]\pi \times 48 \times 71[/tex][tex] \boxed{3408\pi \: \: \: unit {}^{3} }[/tex]PLEASE HELP! I WILL GIVE YOU BRAINLIEST! Peter walked around a park three times. How many miles did he walk?
Answers
Answer:
20.7 miles
Step-by-step explanation:
1 + 2 = 3
1.6 + 2.3 = 3.9
3.9 + 3 = 6.9
6.9 x 3 = 20.7
13. A car travels at a speed of 55 km/h. Find the distance travelled by the car in 12minutes 30 seconds, giving your answer in meters.
Answers
Answer:
11.46 meters
Step-by-step explanation:
12min 30sec = 12.5min
55km/h * 12.5min * 1h/60min = 11.4583333333meters
The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answers
Answer:
p-value of the statistics = 0.0096
Step-by-step explanation:
Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.
To find - Determine the P-value of the test statistic.
Proof -
Given that,
H0 : p = 0.44
Ha : p > 0.44
Now,
Test Statistics is
z = (p bar - p)/ sqrt(p(1-p)/n)
= (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)
= 2.34
⇒z = 2.34
So,
p-value = P(Z > z)
= P(Z > 2.34)
= 0.0096
⇒p-value = 0.0096