Tanya wants to test the theory that the exterior angles of a
triangle add up to 360°. She draws triangle ABC and finds all
the angles in the triangle.
PLEASE HELP!!
Answers
Answer:
[tex]f + e + d = 360^o[/tex]
Step-by-step explanation:
The question is incomplete, as what is required is not stated and the triangle is not given.
So, I will solve generally.
The proof is as follows (see attachment for triangle)
From the attachment, we have:
[tex]a + f = 180[/tex]
[tex]b + e = 180[/tex]
[tex]c + d = 180[/tex]
Make f, e and d the subject
[tex]f = 180 - a[/tex]
[tex]e = 180 - b[/tex]
[tex]d = 180 - c[/tex]
Add up the equations
[tex]f + e + d = 180 -a + 180 - b + 180- c[/tex]
Collect like terms
[tex]f + e + d = 180 + 180+ 180-a- b - c[/tex]
[tex]f + e + d = 540-a- b - c[/tex]
We have:
[tex]f + e + d = 540-(a+ b + c)[/tex]
[tex]a + b + c \to 180[/tex] --- angles in a triangle
So, we have:
[tex]f + e + d = 540-180[/tex]
[tex]f + e + d = 360^o[/tex] --- proved
Related Questions
can someone help me pls
Answers
Answer:
[tex]x = 55°[/tex]
Step-by-step explanation:
L1 and L2 are parallel, so that the 2 interior angles are equal to 180°.
[tex](2x + 10) + (x + 5) = 180° \\ 2x + x + 10 + 5 = 180° \\ 3x = 165° \\ x = 55°[/tex]
You come across a box of perfume what should you do Amazon
Answers
Find the value of y.
960
1660
y = [? ]°
Answers
Answer:
y = 48°
Step-by-step explanation:
The value of an inscribed angle is half the value of the arc it subtends.
The angle marked x subtends the arc marked 66°, so has a value of ...
x = 66°/2
x = 33°
The value of y is similarly found.
y = 96°/2
y = 48°
The angle marked with a dot is an external angle of the triangle, so is the sum of the remote internal angles, x and y:
dot angle = x + y = 33° +48° = 81°
Of course, angle z is the supplement of this:
z = 180° -81°
z = 99°
The number of direct-report employees to the department directors of a company are as follows: 23, 28, 41, 29, 33, 38, 42, and 18.
Which type of graph would be best to use to show the differences among the numbers of direct-report employees?
a bar graph
a circle graph
a histogram
a line graph
Answers
Answer:
Question?
Step-by-step explanation:
?
Since the values belong to different divisions, it’s best to use the bar graph because you can compare them side by side.
PLEASE! TEST QUESTION
Jenelle invested $17000 in two mutual funds. Fund A earned 4% profit during the first year, while Fund B suffered a 1.5% loss. If she received a total of $460 profit, how much had she invested in each mutual fund?
Jenelle invested $_____ into Fund A.
Jenelle invested $_____ into Fund B.
Answers
Answer:
Jenelle invested $ 13,000 in Fund A and $ 4,000 in Fund B.
Step-by-step explanation:
Given that Jenelle invested $ 17000 in two mutual funds, and Fund A earned 4% profit during the first year, while Fund B suffered a 1.5% loss, if she received a total of $ 460 profit, to determine how much had she invested in each mutual fund, the following calculation must be performed:
17000 x 0.04 - 0 x 0.015 = 680
15000 x 0.04 - 2000 x 0.015 = 570
10,000 x 0.04 - 7000 x 0.015 = 295
12500 x 0.04 - 4500 x 0.015 = 432.5
13000 x 0.04 - 4000 x 0.015 = 460
Therefore, Jenelle invested $ 13,000 in Fund A and $ 4,000 in Fund B.
8x + 7 = 6x + 15
what is x
Answers
Answer:
x = 4
Step-by-step explanation:
i am smart
Answer:
X=4
Step-by-step explanation:
Simplifying
8x + 7 = 6x + 15
Reorder the terms:
7 + 8x = 6x + 15
Reorder the terms:
7 + 8x = 15 + 6x
Solving
7 + 8x = 15 + 6x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x' to each side of the equation.
7 + 8x + -6x = 15 + 6x + -6x
Combine like terms: 8x + -6x = 2x
7 + 2x = 15 + 6x + -6x
Combine like terms: 6x + -6x = 0
7 + 2x = 15 + 0
7 + 2x = 15
Add '-7' to each side of the equation.
7 + -7 + 2x = 15 + -7
Combine like terms: 7 + -7 = 0
0 + 2x = 15 + -7
2x = 15 + -7
Combine like terms: 15 + -7 = 8
2x = 8
Divide each side by '2'.
x = 4
Simplifying. Hope this helps :D
x = 4. Plz brainly and like
Please help I would be really happy:)
Answers
What is the volume of the cylinder below?
Use 3.14 for pi.
Answers
Answer:
using 3.14 for pi the volume is 502.4
Step-by-step explanation:
Determine the radius of a cone that has a volume of 230 ft' and a height of 15 ft.
Round the answer to the nearest tenth.
Answers
Answer:
the formula for finding cone volume is V=πr²× 1/3
Step-by-step explanation:
230=3.14×x²×1/3
we have to solve for X that is our radius
14.8
In triangle ABC, angle A and angle B are remote interior angles to an exterior angle that measures 60 degrees. If measure of angle A = 30, what is the measure of angle B?
30
60
90
45
Answers
Answer:
30 Step-by-step explanation:
Answer:
Its 60
Step-by-step explanation:
I took the test
MATH MATH MATH MATHHHHHHHHHHHHHH
Answers
Answer:
1. Obtuse angle
2. 5
3. 117
Step-by-step explanation:
1. Any angle that is wider than 90 degrees is obtuse.
2. 180 = straight angle so, 180-140=40 8x5=40 so x=5
3. Supplementary angles are one angle that is 180 so, 180-63= 117
sum of two numbers is 5 while the difference of the two numbers is 6 find the two numbers
Answers
Answer:
Suppose the one number be x
And the other number be 6x
The sum of two numbers is 5
x+6x=5
7x=5
X=5/7
Therefore
One number be 5/7
And other number be 6 * 5/7=30/7
If you are helped with my answer pls tag me brianliest I really want it
THANK YOU...............
What is the circumference of circle P in terms of pi (3.14)
A. 4cm
B. 8 cm
C. 16 cm
D. 64 cm
Answers
PLEASE HELP MEEEEEEEE I HAVE 15 MINUTES LEFT
Answers
Two circles are concentric. Two arcs are formed by the same central angle, with arc lengths of 54 and 81 respectively. Which of the following are possible radii for the circles? Select the two correct answers.
23 and 32
12 and 18
32 and 64
40 and 60
14 and 41
Answers
Answer:
i think the answer is 12 and 18
Probability distribution
Answers
Answer:
a) The value of q is 0.2.
b) E(X) = 1.85.
Step-by-step explanation:
Question a:
The sum of all the probabilities must be 1. So
[tex]0.3 + x + 0.1 + 0.15 + 0.25 = 1[/tex]
[tex]x + 0.8 = 1[/tex]
[tex]x = 0.2[/tex]
The value of q is 0.2.
Question b:
Multiplication of each value of x by its probability. So
[tex]E(X) = 0*0.3 + 1*0.2 + 2*0.1 + 3*0.15 + 4*0.25 = 1.85[/tex]
So the answer is E(X) = 1.85.
What is the measure of angle AXG
Answers
Answer:
180°
Step-by-step explanation:
it's half of a circle
The angle AXG is a straight line. The measure of a straight line would be 180
The measure is 180
HELP
Which Trig ratio should be used to find the missing side?
A.Sin
B.Cos
C.Tan
Answers
Answer:
It's Cos again.
Thumbs-up
The final exam grade distribution for all students in the introductory statistics class at a local community college is displayed in the table, with A = 4, B = 3, C = 2, D = 1, and F = 0. Let X represent the grade for a randomly selected student from the class.
What is the standard deviation of the distribution?
A) 1.16
B) 1.08
C) 1.41
D) 2.98
Answers
The standard deviation of the distribution is 1.08.
Option B is the correct answer.
What is a standard deviation?The standard deviation measures how spread out the data is from the mean, and it is a measure of the average distance of the data points from the mean.
We have,
To find the standard deviation of the distribution, we first need to calculate the expected value (mean) of X.
The expected value of X is:
E(X) = (4)(0.4) + (3)(0.32) + (2)(0.17) + (1)(0.08) + (0)(0.03)
= 1.6 + 0.96 + 0.34 + 0.08 + 0
= 2.98
Next, we need to calculate the variance of X:
Var(X) = (4 - 2.98)²(0.4) + (3 - 2.98)²(0.32)
+ (2 - 2.98)²(0.17) + (1 - 2.98)²(0.08) + (0 - 2.98)²(0.03)
= 0.64(0.4) + 0.0004(0.32) + 0.7921(0.17) + 5.4084(0.08) + 8.6404(0.03)
= 0.256 + 0.000128 + 0.134257 + 0.432672 + 0.259212
= 1.082
The standard deviation of X is the square root of the variance:
So,
SD(X) = √(Var(X))
= √(1.082)
= 1.04 (approximately)
Thus,
The standard deviation of the distribution is 1.08.
Learn more about standard deviation here:
brainly.com/question/23907081
#SPJ7
PLEASE HELP I WILL GIVE BRAINLIEST!!!
Answers
the parent cosine function is transformed to create the function m(x) =-2cos(x+π). which graphed function has the same amplitude as function m
Answers
Answer: Graph D
Step-by-step explanation: Got it right on plato
The graph of a function with the same amplitude as m(x) is graph D.
Which graphed function has the same amplitude as m(x)?
The general cosine function is written as:
f(x) = A*cos(kx) + M
Where A is the amplitude, k is the angular frequency, and M is the midline.
In our case:
m(x) = -2*cos(x+π).
The amplitude is -2, which means that the distance between a peak and a trough must be twice the absolute value of the amplitude:
2*|-2| = 4
With this in mind, the only graph that meets this requirement is the graph D.
If you want to learn more about cosine functions, you can read:
https://brainly.com/question/7872492
Which of the following is TRUE?
A. 8<-7
B -1 > 1
C. 6> 3
D. 4 <-2
Answers
9514 1404 393
Answer:
C. 6 > 3
Step-by-step explanation:
It is true that 6 is greater than 3.
__
All negative numbers are less than any positive numbers.
We hope you are sufficiently familiar with numbers and counting to be able to tell which positive numbers are more or less than any other positive number.
Point 4,6 is reflected across line y= X and then dilated by a factor of 1/2 using the origin as the center of dilation. What is the resultant point?
Answers
9514 1404 393
Answer:
(3, 2)
Step-by-step explanation:
Reflection across y=x swaps the coordinates:
(x, y) ⇒ (y, x)
Dilation by a factor of 1/2 multiplies each coordinate by 1/2.
(x, y) ⇒ (x/2, y/2)
The combination of these transformations gives you ...
(x, y) ⇒ (y/2, x/2)
(4, 6) ⇒ (3, 2)
(Algebra 2) help me please:( no links I will report please help me out )!!!
Answers
Answer:
The answer should be $57000(1.025)²⁰ = $93,401
Step-by-step explanation:
Which expression shows 6a + 8b + 10 written as the product of the GCF times a sum?
Answers
Answer::112
Step-by-step explanation:
Given that f(x)=x^3, which equation describes the graph of function g?
a. g(x)=f(x-3)+3
b. g(x)=f(x-3)-3
c. g(x)=f(x+3)+3
d. g(x)=f(x+3)-3
Answers
Answer:
A or g(x) = f(x − 3) + 3
Step-by-step explanation:
A bookshelf costs $300 normally. Today it is on sale and decreased by 20% However there is
also a 4% sales tax. What is the new cost of the bookshelf?
Answers
Answer:
249.60
Step-by-step explanation:
300 x .8 (100%-20%)=240
240 x .04 (4% sales tax)=9.60
price = 240+9.60=249.60
The ratio of dogs to cats is 7:2. Why is the ratio of dogs to 8 cats?
Answers
Answer:
28
[tex]\frac{7}{2} \\\\\frac{x}{8}[/tex]
[tex]2 * x = 8\\x = 4[/tex]
[tex]7 * 4 = x\\x = 28[/tex]
PLZZ GIVE BRAINLIEST
HELP ME I CAN GIVE BRAINLIEST
Answers
Answer:
For Q. 17 I believe it's "the function has a minimum at -1" take this answer with a grain of salt but the other three seem to be true and I don't know how to solve this one so I'm assuming it's the false one.
To compute the necessary sample size for an interval estimate of a population proportion, all of the following procedures are recommended when p is unknown except :____________
a. use the sample proportion from a previous study.
b. use the sample proportion from a preliminary sample.
c. use 1.0 as an estimate.
d. use judgment or a best guess.
Answers
Answer:
c- use 1.0 as an estimate
Step-by-step explanation: