Answers
1. x = 13, y = 11.5
2. x = 39, y = 123
Step-By-Step Explanation: For the first diagram, you can see that 10x - 42 = 6x + 10 by way of vertical angles. Vertical angles are two opposite angles created by the same two lines, meaning that they will ALWAYS be congruent. Solving for x, you get that 4x = 52, or that x = 13. There is another thing. Both of the diagrams have a total angle measurement of 360, since they both go all the way around. Knowing that, 6x + 10 + 8y must be equal to half of that, or 180. Solving for 88 + 8y = 180 (since you know the value of x), you know that 8y = 92, or x = 11.5.
For number two, the concept is very similar, but this time there's more angles. You can immediately see that there are 3 pairs of vertical angles. The value of the angle squishes between the x - 10 and the 3x + 6 is x - 11; again, vertical angles. The angle squished between 3x + 6 and x - 11 is x - 10 (vertical angles!). Last, you know that 3 x + 6 = y, since they are vertical angles. Combining 2(x-11) and 2(x-10) and 2(3x+6) [remember, y = 3x + 6!!], you get that 10 x = 390, and x = 39. Plug that in for the value of y, which is 3x + 6, giving you 123 degrees.
Related Questions
Triangle EFG is graphed below. If the triangle is translated 4 units to the right and 3 units down, what will be the coordinates of G’ ? A. (3,-2) B. (3,4) C. (2, -3) D. (2,2)
Answers
Answer:
A) (3,-2)
Step-by-step explanation:
A) (3,-2)
Complete the following equation;
Y=k?
Answers
PLEASE!!
NEED HELP
ASAP
Answers
Answer:
set of all solutions
Marissa has $4.70 in quarters and dimes. If she has 9 more quarters than dimes, how many of each coin does she have?
dimes
quarters
Answers
Answer:
22 dimes
10 quarters
Step-by-step explanation:
$4.70 = 0.25(q + 9) + 0.1d
4.7 = 0.25q + 0.25(9) + 0.1d
4.7 = 0.25q + 2.25 + 0.1d
2.45 = 0.25q + 0.1d
24.5 = 2.5 + d
22 = d = 22 dimes
$4.70 = 0.25(q + 9) + 0.1(22)
4.70 = 0.25q + 0.25(9) + 2.2
4.70 = 0.25q + 2.25 + 2.2
4.70 = 0.25q + 2.25 + 2.2
4.70 = 0.25q + 4.45
0.25 = 0.25q
1 = q
1 q + 9 q = 10 quarters
Check:
$4.70 = 0.25(q + 9) + 0.1(d)
$4.70 = 0.25(1 + 9) + 0.1(22)
$4.70 = 0.25(10) + 0.1(22)
$4.70 = 2.5 + 2.2
$4.70 = 4.7
Logic puzzle,Riddles
You enter a bedroom there are 34 people. You kill 30. How many are in the bedroom?
Answers
Answer:
4
Step-by-step explanation:
yes
The sum of three consecutive integers is 48. What are the three numbers?
Answers
What three consecutive integers have a sum of 48? Which means that the first number is 15, the second number is 15 + 1 and the third number is 15 + 2. Therefore, three consecutive integers that add up to 48 are 15, 16, and 17.
m_ZBC =2x+8, m_ABC=21x-5,
and m ABZ=139° Find m ABC.
to
z
B
Answers
Answer:
163°
Step-by-step explanation:
Assuming that BZ is a ray inside angle ABC:
2x+8+139=21x-5
8+139+5=21x-2x
152=19x
8=x
m<ABC=21x-5=
21(8)-5=
168-5=
163
Plz help ty very much
Answers
Answer:
A fungus breaks down the body of a dead animal or organism.
btw you cant be in college I did this years ago in fourth grade
A fungus breaks down the of a dead animal
Need help ASAP please! Simplify these.
Answers
Answer:
x³/2
8x³/7
5x²/3
3/4x³
1/2 mi = 880 yd
O True
O False
Help
Answers
Answer:
True
Step-by-step explanation:
1,760 yds = 1 mile, 1,760 ÷ 2 = 880
15 POINTS!
An abandoned lot is to be converted into a community garden. The garden is to consist
of a 7 yard by 20 yard rectangle for planting that is surrounded by a path of uniform
width. The total area of the lot is 198 square yards. What is the width of the path?
SHOW WORK PLS TY
Answers
A bucket is leaking. After 3 hours the bucket has leaked 6 gallons. How many gallons per hour is the bucket leaking?
Answers
Answer:
2 gallons
Step-by-step explanation:
divide 6 by 3 because that's the amount
Answer:
2 gallons
Step-by-step explanation:
Which measurement could represent they side lengths of a right triangle?
a. 3m, 4m, 5m
b. 10m, 12m, 16m
c. 6m, 8m, 12m
d. 4m, 5m, 9m
Answers
If f(x) = 8x+9 and g(x) = 4x-3, what is (f+g)(x)?
O A 4x-12
B. 4x+12
0
C 12x+6
D. 32x-27
Answers
If the length
is 3x+2 and the width is X+4. What is the area of a
redangle?
Answers
Answer:
3x+2+x+4=4x+6
Step-by-step explanation:
add all the number with x and also add all the numbers without x and u will get ur answer
so the ans is 4x+6
Solve the inequality 3x + 4 < 22
Answers
Answer:
3х<18
х<6
хє(-infinity ;6);
Answer:
x<6
Step-by-step explanation:
3x+4<22
First, subtract 4 from both sides of the inequality.
3x-4<22-4
This cancels out the 4, so the 3x is isolated
3x/3<18/3
Finally, simplify to get the answer.
x<6
please mark as brainliest!!
volume of 29 mL and has a mass of 53 g what’s is the density
Answers
Answer: 1.82
Step-by-step explanation:
Density = [tex]\frac{mass}{volume}[/tex] *Divide the mass by volume.
= 1.82
Fill in a negative integer to make the statement true
Answers
Answer:
-2
Step-by-step explanation:
-2 or negative 1 will work , they're both more
Answer:
-2 or -1
because those are both greater than -3
Can anyone help me solve for x and y
Answers
x = 24, y = 120
if you disagree tell me, I just substituted values.
Step-by-step explanation:
10. (6x - 7)° + (3x - 29)° = 180°
i.e they are co-interior angles:
6x + 3x - 7 - 29 = 180°
9x - 36° = 180°
9x = 216°
x = 24.
(6x - 7)° = (8y + 17)°
i.e they are vertically opposite angles;
but x = 24.
6(24) - 7 = 8y + 17
144 - 7 = 8y + 17
120 = 8y
y = 15
11. (9x + 25)° = (13x - 19)°
i.e they are corresponding angles;
25 + 19 = 13x - 9x
44 = 4x
x = 11
(13x - 19)° + (17y + 5)° = 180°
i.e they are adjacent angles;
but x = 11
13(11) - 19 +5 + 17y = 180
17y = 180 - 129
17y = 51
y = 3
The graph shows the linear relationship between the balance in a student school lunch account and the number of lunches purchased
Answers
Answer:
Step-by-step explanation:
Mabel, Adeline and Charlie share 34500ft2 of land Mabel ownes 26%of the land area and Adeline Owens 47% of the land area . What is the land area that charlie owns ?
Answers
Answer:
Charlie owns 9,315 ft2 of the land area
Step-by-step explanation:
There are 34,500 ft2 of land shared between Mabel, Adeline, and Charlie.
Mabel owns 26% of the land area, that is:
26*34,500 ft2 / 100 = 8,970 ft2
Adeline owns 47% of the land area, or:
47*34,500 ft2 / 100 = 16,215 ft2
The land owned by Mabel and Adeline is: 8,970 ft2 + 16,215 ft2 = 25,185 ft2
Since the total area land is 34,500 ft2, Charlie owns:
34,500 ft2 - 25,185 ft2 = 9,315 ft2
Charlie owns 9,315 ft2 of the land area
Determine which sides of the given quadrilateral are parallel. Q (0, 4), R (4, 0), S (0, −4), T (−4, 0)
Answers
Answer:
The answer is QR and TS are parallel. QT and RS are parallel
Step-by-step explanation:
You can find the slope of each line using the formula y2-y1/x2-x1 and to help organize your ideas or understand better, you can graph the points in a cardinal plane.
If g is the midpoint of AB, classify each triangle by its angles and sides
Answers
Each triangle can be classified by its angles and sides in the following ways :
triangle CFE = triangle CFE is a right angle triangle ( as one of its interior angle measures 90° ) . Triangle CFE is also a scalene triangle ( as none of its sides are equal ) .triangle BEC = Triangle BEC is a right angle triangle . It is also a scalene triangle ( as none of its sides or angle are equal ) .triangle BFG = triangle BFG is an equilateral triangle ( all of its sides are equal ) and it is also an acute angle triangle ( all of its angle will be equal to 60° , which is acute ) .triangle GAF = Triangle GAF is an isosceles triangle ( two of its sides - GF and GA are equal ) . It is also an obtuse angled triangle ( one of its angle measures 120° ) .Evaluate this expression then round your answer to two decimal places: 7^4÷7^6=
Answers
7^6=117648
2401/117648=0.02040834
or simplyed 0.02
hope that helps!
3x+2=11 what is the answer
Answers
x = 3
Step-by-step explanation:Hi there !
3x + 2 = 11
3x = 11 - 2
3x = 9
x = 9/3
x = 3
Good luck !
CAN SOMEONE PLEASE DOUBLE CHECK IF THIS IS RIGHT!!! Please
Answers
Answer:
yes yesss yessssssssssssssssssssssssssssssssssss
The American Society of PeriAnesthesia Nurses (ASPAN; www.aspan.org) is a national organization serving nurses practicing in ambulatory surgery, preanesthesia, and postanesthesia care. The organization's membership is listed below.
State/Region Membership
Alabama 114
Arizona 261
Maryland, Delaware, DC 319
Connecticut 183
Florida 654
Georgia 313
Hawaii 58
Maine 98
Minnesota, Dakotas 335
Missouri, Kansas 324
Mississippi 52
Nebraska 125
North Carolina 342
Nevada 66
New Jersey, Bermuda 321
Alaska, Idaho, Montana, Oregon, Washington 893
New York 690
Ohio 798
Oklahoma 201
Arkansas 74
Illinois 632
Indiana 216
Iowa 76
Kentucky 155
Louisiana 161
Michigan 304
Massachusetts 530
California 1,110
New Mexico 93
Pennsylvania 631
Rhode Island 75
Colorado 344
South Carolina 264
Texas 1,120
Tennessee 122
Utah 45
Virginia 304
Vermont, New Hampshire 192
Wisconsin 316 West Virginia 63
Use statistical software to answer the following questions.
a. Find the mean, median, and standard deviation of the number of members per component. (Round your answers to 1 decimal places.)
Mean?
Median?
Standard deviation?
b-1. Find the coefficient of skewness, using the software method? (Round your answer to 2 decimal places.)
Coefficient of skewness?
b-2. What do you conclude about the shape of the distribution of component size?
Mild positive skewness or Mild negative skewness
(d-1) Are there any outliers?
One, Zero, Three, Four, Two
(d-2) What are the limits for outliers? (Round your answers to 1 decimal place. Negative amounts should be indicated by a minus sign.)
Answers
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data :
114, 261, 319, 183,654,313,58,98,335,324,52,125,342,66,321,893,690,798,201,74,632,216,76,155,161,304,530,1110,93,631,75,344,264,1120,122,45,304,192,316,63
USING CALCULATOR :
The mean(m) of the data: = ΣX/n
n = sample size = 40
m = 12974/40
m = 324.4
Median = ((n + 1)/2) th term = 41/2 = (20 + 21)th term / 2
= (261 + 264) / 2 = 262.5
Standard deviation (s) = sqrt(Σ(x - m)²/n))
s = 281. 74
B.) Coefficient of skewness (Ks) :
3(mean - median) / standard deviation
3(324.4 - 262.5) / 281.74
= 0.66
Mild positive skewness Given a positive skew Coefficient value.
(d-1) Are there any outliers?
Yes
Four outliers
(d-2) What are the limits for outliers? (Round your answers to 1 decimal place. Negative amounts should be indicated by a minus sign.)
Lower bound = Q1 - (1.5 * IQR)
Upper bound = Q3 + (1.5 * IQR)
IQR = Q3 - Q1
Q3 = upper quartile = 343 ; Q1 = 106 ; Q2 = 262.5
IQR = 343 - 106 = 237
Lower bound = 106 - (1.5 * 237) = - 249.5
Upper bound = 343 + (1.5 * 237) = 698.5
-249.5 ≤ X ≤ 698.5
-45 x (-2) solve please
Answers
Answer:
-90x Mark Me Brainlest Please
Step-by-step explanation:
Steve said that [5, 12) is the interval notation that represents the set of all real numbers greater than or equal to 5 and less than 12. Joe says that (5, 12] is correct interval notation. Who is correct and justify why? HEPLLLL!!!!!
Answers
Answer:
Steve
Step-by-step explanation:
Because it means greater than or equal to
i need help ASAP What is the slope of this line? Enter your answer as a fraction in simplest term in the box.