Answer/Step-by-step explanation:
Part A:
(6x + 2)° + (8x + 6)° + (7x + 4)° = 180° (angles in a straight line)
Solve for x
6x + 2 + 8x + 6 + 7x + 4 = 180
Add like terms
21x + 12 = 180
21x + 12 - 12 = 180 - 12
21x = 168
21x/21 = 168/21
x = 8
Part B:
Method 1:
m<CFD + m<CFB + m<BFA = 180° (Angles in a straight line)
m<CFD + (6x + 2)° + (8x + 6)° = 180° (substitution)
Plug in the value of x
m<CFD + 6(8) + 2 + 8(8) + 6 = 180
m<CFD + 48 + 2 + 64 + 6 = 180
m<CFD + 120 = 180
m<CFD + 120 - 120 = 180 - 120
m<CFD = 60°
Method 2:
m<CFD = m<AFE (vertical angles are congruent)
m<CFD = (7x + 4)° (substitution)
Plug in the value of x
m<CFD = 7(8) + 4
m<CFD = 60°
What is the difference between Independent and Dependent events?
A. In Dependent - each event relies on the event before it.
B. They are the same - independent just means more events are occurring.
C. I. independent - each event relies on the event before it.
D. They are the same - dependent just means more events are occurring.
Answer:
C is the answer
Step-by-step explanation:
I took the test and got it right
Which of the following are remote interior angles of Z6? Check all that apply.
4
1
5
2.
2
6
3
O A. 24
B. 21
O C. 22
O D. 25
E. <3
A F. 26
Answer:
B. <1
E. <3
Step-by-step explanation:
Remote interior angles are interior angles inside a triangle that are opposite to an exterior angle of the triangle.
<6 is an exterior angle. The remote interior angles that are opposite to <6 are <1 and <3.
Therefore, <1 and <3 are remote Interior angles of <6
They are away from <6.
The remote interior angles of ∠6 are ∠1 and ∠3
Remote interior angles:Remote interior angles are those angles that don't share a vertex or corner of a triangle with the exterior angle.
The remote interior angles are usually opposite of the exterior angles.
The remote interior angles of ∠6 are those angles interior angles that does not share a vertex with the ∠6(exterior angle).
Therefore, the remote interior angles of ∠6 are ∠1 and ∠3
learn more on remote interior angles:https://brainly.com/question/1585690
Please help! I need this answer fast!
Frank left his house at 7 am and drove to the airport at a speed of 50 mph. Lance left his house at 6 am and drove to the same airport at a speed of 55 mph. Frank's house is 150 miles from the airport and Lance's house is 220 miles from the airport.
At what time did Lance arrive at the airport?
Answer:
87
Step-by-step explanation:
Answer: 10:00 AM
This is the answer, and it’s correct. I did this problem and it’s 10:00 AM
HELPPPP ME PLEASEEE
Answer:
your answer will be 588in²
Step-by-step explanation:
Area=πr²
=π(14)²
=3×(14)²
Area=588in²
hope it helps..
have a great day!!!
Can smart people solve this geometry problem with all work
Answer:
Step-by-step explanation:
Which of the following is NOT a solution to the system of inequalities?
Answer:
(2;-2)
Step-by-step explanation:
for more details see the attached picture.
A sector has angle 2.5 radians and perimeter of 18cm. find the radius of the sector
(The answer is 10.5, but how?) pls help
Answer:
4 cm
Step-by-step explanation:
Perimeter = 18cm
θ = 2.5 radian
s = rθ, s = Arc length
Perimeter of Sector, P = arc length, s + 2r
Perimeter = rθ + 2r
r = Radius
18cm = r(2.5) + 2r
18cm = 2.5r + 2r
18cm = 4.5r
r = 18 /4.5
r = 4
Try Again
The price of an item has been reduced by 70%. The original price was $49.
Use the ALEKS calculator to find the price of the item now.
s
Answer:
$34.30
Step-by-step explanation:
Use the equation:
F=P(r)
F=final price
P=principal (starting) amount
r=rate, normally a percent and has to be converted to a decimal
**Since this problem asks us to go down, there is no 1+r. That's when it gives us the final price and asks us to find the original.
Plug in the values: F = 49(.7)
F=$34.30 (don't forget the $ sign)
3. The third side of a triangle measures (3x-5) cm. If the length of the midline is 14 m,
what is x?
A 8
C. 10
B. 9
D. 11
Answer:
D. 11
Step-by-step explanation:
Midsegment theorem:
The length of the midsegment of a triangle is half the length of it's third side.
In this question:
Third side: 3x - 5
Midsegment: 14m
So
[tex]\frac{3x - 5}{2} = 14[/tex]
[tex]3x - 5 = 28[/tex]
[tex]3x = 33[/tex]
[tex]x = \frac{33}{3}[/tex]
[tex]x = 11[/tex]
The correct answer is given by option D.
Find the volume of a cylinder that has a radius of 1/2and a height of 1.
Answer:
0.79
Step-by-step explanation:
14^-3 x 14^12
positive exponents
Answer:
20661046784
Step-by-step explanation:
I couldn't get the pos exponent but hopefully this helps
will report anybody who gives a link!
3,947 ÷ 45 = (?) R (?)
Answer:
87.7(1)
=
87 Remainder 32
How does the stimulus check impact society please help me please i really need help please
Answer: Stimulus checks are given to boost the economy by providing consumers with funds to spend. Consumer spending is an essential component of a healthy economy and, in times of economic uncertainty, it usually contracts.
Scott wants to put soil in his garden shown below. If soil comes in bags that fill 3 square yards each, how many bags of soil should Scott buy
Answer:
5
Step-by-step explanation:
Becuase his backyard is 15 square yards.
Help please !! need it asap
Answer:
AB = 6
m∠F = 70°
Step-by-step explanation:
1.) This is isosceles, from the angles you can tell
2.) Angles F and D are equal, this is also a form of isosceles
180-40 = 140
140/2 = 70
Three hundred yards of fencing is being used to fence in a rectangular garden. The area of the garden is modeled by a quadratic function of the rectangle’s width, A(w). What does the second coordinate of the vertex of the quadratic function. A(w), represent?
the minimum width that can be used for the fencing
the maximum area that can be enclosed by the fencing
the width that gives the maximum area
the length that gives the maximum area
9514 1404 393
Answer:
the maximum area that can be enclosed by the fencing
Step-by-step explanation:
If the width of the garden is w (in yards), then the length of the garden is (150-w) and the area is ...
A(w) = w(150 -w) = -(w² -150w)
A(w) = -(w² -150w +75²) +75²
A(w) = -(w -75)² +5625
In this vertex form, the vertex is (75, 5625).
The graph of area versus width is a parabola that opens downward, so the vertex second coordinate is the maximum area that can be enclosed.
what is 1000x45 how do i get the anwser
Answer:
45000
Step-by-step explanation:
put the equation like this
1000
x 45
And multiple form right to left or just take 45 and add 3 0's because anything multiplied by 1 is what number u multiplied it by
Answer:45000
Step-by-step explanation:
so you know that 10x45=450 just add 2 more zeros and thats ur answer may i be marked brainliest
Researches conducted a study to determine whether magnets are effective
giving brainliest !!
answer asap
Answer:
352 in squared
Step-by-step explanation:
Using the formulas
A=2AB+(a+b+c)h
AB=s(s﹣a)(s﹣b)(s﹣c)
s=a+b+c
2
Solving forA
A=ah+bh+ch+1
2﹣a4+2(ab)2+2(ac)2﹣b4+2(bc)2﹣c4=12·8+10·8+10·8+1
2·﹣124+2·(12·10)2+2·(12·10)2﹣104+2·(10·10)2﹣104
=352
Select the correct answer.
Which of these is a non-real complex number?
OA. 5/17 - 21/4
B.
9 + 375
2
OC. 2 - 0
OD. +
/
Dorot
Answer:
OD
Step-by-step explanation:
because it gives us error and there's no number
The correct option is (D) .
Which is a non-real complex number?Nonreal complex numbers include pure imaginary numbers and those with a and b values of zero, such as 7 + 2i.A non-real or imaginary number is the name given to the square root of a negative number. For instance, the numbers 1, 28, and 5 are all imaginary numbers.Complex numbers cannot be plotted on the actual number line because they contain imaginary numbers. On the complex number plane, which has a y axis (for the imaginary number) and an x axis (for the real number), they can, however, be measured starting from zero (for the imaginary number).In all these options , they are presenting real complex number .Real numbers can be positive or negative, and include the number zero. that is why we select option D .
Learn more about non-real complex number brainly.com/question/20813072
#SPJ2
Graph the line.
Y= 4/3 x
Answer:
hope this helps :)
Step-by-step explanation:
This question: 00:26 Level 4: Multiplying Mixed and Whole Numbers 16.7% Complete Q. One of your clients at Wills, Trusts & Estates Law, PLLC passes away. His estate is worth $72,000. He leaves half to charity, and to each of his four children. How much will each child receive? $ HINT + A Report Content Errors
The question is stated in such a garbled, convoluted, ambiguous way that it's hard to go to an answer.
With a few reasonable assumptions, it looks to me like each son gets $9,000.
S - 4= -8
What is S?
Answer:
S = -4
Step-by-step explanation:
-8 minus -4 is basically -8-(-4) which converts to -8+4, and the result of that is -4.
Answer:
s-4+4=-8+4
s=-4
Step-by-step explanation:
x is equal to -4
Sophomore, junior, and senior students at a high school will be surveyed regarding a potential increase in the extracurricular student activities fee. There are three possible responses to the survey question...agree with the increase, do not agree with the increase, no opinion. A chi-square test will be conducted to determine whether the response to this question is independent of the class in which the student is a member. How many degrees of freedom should the chi-square test have? A9 B6 C4 D2 E1
Answer: C) 4
Step-by-step explanation:
The chi-square test should have 4 degrees of freedom
The categories of students are:
Sophomore, junior, and senior students
The categories of response are:
.agree with the increase, do not agree with the increase, no opinion
There are three (3) categories of students and three (3) categories of response.
So, the degrees of freedom is calculated as:
[tex]df = (r -1) * (c -1)[/tex]
Where:
r = 3 i.e. categories of students
c = 3 i.e. categories of response.
This gives
[tex]df = (3 -1) * (3 -1)[/tex]
[tex]df = 2 * 2[/tex]
[tex]df = 4[/tex]
Hence, the chi-square test should have 4 degrees of freedom
Read more about chi-square test at:
https://brainly.com/question/4543358
Please help I'll give brainliest
Answer:
m∠A = 130
Step-by-step explanation:
Here, In a given figure
m∠A = 2x - 30°
Now, we know that the sum of all angle is 180° on a straight line
So,
2x - 30° + 50° = 180°
2x + 20° = 180°
2x = 180° - 20°
2x = 160°
x = 160° ÷ 2
x = 80°
Here, we get the value of x is 80°
Now,
m∠A = 2x - 30°
m∠A = 2(80°) - 30°
m∠A = 160° - 30°
m∠A = 130
Thus, m∠A = 130
-TheUnknownScientist
Pls help thank you :)
The dot plot represents the number of apples picked by a family. Explain how the outlier of the data affects the statistical summary of the data.
Select the answers from the drop-down menus to complete the statements.
The mean apples picked
increases or decreases or does not change?
because of the outlier.
The median apples picked
increases or decreases or does not change?
because of the outlier.
The range
increases or decreases or does not change?
because of the outlier.
Answer:
Decreases, decreases, increases
Just took the test
Step-by-step explanation:
Andrew randomly selects a number from 1-15. What is the probability that the number he selects is an even number?
Answer:
7/15
Step-by-step explanation:
Probability= Number of even numbers / Total numbers
There are 7 even numbers between 1 and 15
P = 7/15
A car manufacturer has two production plants in different cities. Every day, plant A produces 120 of a certain
type of car, while plant B produces 80 of those cars. On average, all of these cars have a paint thickness of
0.04 mm with a standard deviation of 0.003 mm.
Every day, quality control experts take separate random samples of 10 cars from each plant and calculate the
mean paint thickness for each sample. They then look at the difference between those sample means.
Consider the formula:
031-32 =
02
+
ni 12
Why is it not appropriate to use this formula for the standard deviation of TA
IB?
Answer: We cannot assume independence for the cars sampled from plant B.
Step-by-step explanation: Khan Academy “With a sample size of 10 cars, we need at least 100 cars in the population to assume independence based on the 10% condition, but there are only 80 cars made each day at plant B.”
Answer: We cannot assume independence of the cars sampled from plant B.
Step-by-step explanation:
Find the trigonometric ratios as simplified fractions and as decimals to the nearest thousandths (3 decimal places)
16 34
HElp me plssss ;-;
help me ...........................
Answer:
They will be able to.
Step-by-step explanation:
You first want to make sure the first three families have enough to eat.
[tex]6\frac{1}{2} - 2\frac{7}{8} = 3\frac{5}{8}[/tex]
For further explanation look at the first image.
[tex]3\frac{5}{8} > 2\frac{7}{8}[/tex]
Just to make sure
[tex]3\frac{5}{8} - 2\frac{7}{8}=\frac{3}{4}[/tex]
For further explanation look at the second image.
The rest of the images show a model solution.