Answers
Any triangle's three interior angles add up to 180 degrees, according to the Triangle Sum Theorem.
How do you calculate the triangular sum theorem?Any triangle's three interior angles add up to 180 degrees, according to the Triangle Sum Theorem. m∠1+m∠2+m∠3=180∘.
Here,
According to the triangle sum theorem, a triangle's total angles equal 180°. Therefore, using the Substitution property
=> (3x)° + 90° + (x+10)° = 180°,
=> m(A,B,C) = 180.
To find x, combine similar terms to get
=> 4x + 100 = 180. Then, using the subtraction condition of equality, convert => 13 1/2 to 80.
=> Finally, divide 80 by 5 ( 13 1/2) to find x.
The substitution property may be used to get the measure of the angle A, yielding mA = 5 ( 13 1/2) °.
When the expression is finally simplified, m < A = 66 2/3.
To learn more about triangle refer to:
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Related Questions
What percent of the shaded checker board squares have pieces?
PLEASE HELP I WILL GIVE BRAINLIEST TO CORRECT ANSWER
Answers
Answer:
25%
Step-by-step explanation:
From the question given above, the following data were obtained:
Total shaded checker board (T) = 32
Shaded checker board with pieces (S) = 8
Percentage of Shaded checker board with pieces =?
We can obtain the percentage of checker board with pieces as follow:
Percentage of Shaded checker board with pieces = Shaded checker board with pieces / Total shaded checker board × 100
= S / T × 100
= 8 / 32 × 100
= 25%
Therefore, percentage of Shaded checker board with pieces is 25%
find c and round to the nearest tenth. thank you in advance
Answers
Answer and Step-by-step explanation:
90ft = a
55ft = b
50ft = c
Plug into equation.
[tex]50^{2} = 90^{2} + 55^{2} - 2(90)(55)cosC\\\\2500 = 11125 - 9900(cosC)\\\\-8625 = -9900(cosC)\\\\0.8712 = cosC\\\\cos^{-1} (0.8712) = C\\\\29.4[/tex]
29.4° is the answer.
What percent of the crimes in 2000 were robberies if robberies were 408,016, burglaries were 2,050,992, larceny was 6,971,590 and vehicle thefts were 1,160,002?
Answers
Answer:
3.9%
Step-by-step explanation:
Total number of crimes = 408016 + 2050992 + 6971590 + 1160002 = 10590600
percent of robberies = 408016/10590600 = .038526 ≅ 3.9%
What is the area of a rectangle with a length of yard and width of yard?
Answers
Answer: The formula for the area of a rectangle is: A = L * W where L is the length and W is the width. where S is the length of one side.
Step-by-step explanation:
Hope This helps, Brainlees, please
Sales tax is 7% How much tax will you have
to pay if you purchase a Microsoft - Xbox
One X 1TB Console for $495.99?
Answers
I hope this helped
True or False Directions: Determine whether each statement below is correct or incorrect. Justify your response with a calculation, a description using complete English sentences, or a combination of both. If a statement is incorrect, make sure to include what the error is and state what the student should have done to evaluate the integral correctly in your explanation. All calculations must be done by hand and proper notation must be used. Correct responses with insufficient justification or that rely on technology will earn no credit.
A. [8 pts) Morgan claims that the improper integral * 4.re -2- dr converges to 1. esca 8
B. (8 pts] Avery is asked to compute dr and provides the following argument. (3 - 4.) 8 (3 - 4.0) (3 - 4.r) (-1) (3) lo dr =
Answers
Answer:
(A) true.
(B). False.
Step-by-step explanation:
(A). F(x) = 4xe^-2x.
Let's make the assumption that 2x = b -----------------------(1).
Therefore, taking the differentiation with respect to x, we have;
2x dx = db.
The next thing thing to do is to integrate, taking the upper limit to be infinity and the lower limit to be zero:
∫( b e^-b db).
Changing the Lim. infinity = 2.
= ∫( b e^-b db). ----------------------------(2).
The step (2) above can be solve with Integrations by part;
Lim. 2 ---> infinity [ b e^-b + ∫( 1 e^-b db|
( | = Upper boundary = 2 and the lower boundary = 0).
Lim. 2 ----> infinity [ 2 e^-2 - 0] - lim. 2 --> infinity [ 0 - 1].
Lim 2 ---> infinity [ 2/e^2 + 1].
Let 2/e^2 = j.
The, lim 2 ---> infinity j + 1.
To solve this, there is need to make use of L'hospital rule,
j = Lim 2 ---> infinity [ 1 /e^2] = 0.
Thus, j = 0. And 0 + 1 = 1.
(PROVED TO BE TRUE).
(B). Taking limit from 1 (upper) to 0( lower). Assuming that b = 3 - 4x.
Therefore, -4dx = db.
∫( 8 /(3 - 4x)^3 dx.
Taking the upper boundary = -1 and the lower boundary = 3.
∫ ( - 2db/ b^3.
= 2 ∫ ( - db/ b^3.
= 2 [ b^-3 + 2) / -3 + 1.
= 2 | - 1/ 2 db
= 8/9.
Not true.
function machine
what is f(-10)=
for what input is the output 93
Answers
a) replace x with -10 and solve:
-6(-10)-3 = 60-3 = 57
f(-10) = 57
b) replace f(x) with 93 and solve for x:
93 = -6x-3
Add 3 to each side:
96 = -6x
Divide each side by -6:
x = -16
The input value is -16
a book which cost 300 naira was sold for 240naira.what was the loss percentage?
Answers
Answer:
20%
Step-by-step explanation:
Since the original price of the book is 300 naira...
100% = 300 naira
1% = 300 ÷ 100 = 3 naira
240 ÷ 3 = 80
Since 80% is the percentage of the price after the loss..
100 - 80 = 20%
You roll a 6-sided die.
What is P(2)?
Write your answer as a fraction or whole number.
Answers
Answer: The probability of rolling a 2 on a 6-sided die is 1/6.
Step-by-step explanation:
The probability of getting 2 on the die P(2) is 1/6.
What is probability?Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.
Given, We roll a six-sided die,
So, Sample space N(S) = 1, 2, 3, 4, 5, 6 = 6.
N(2) = 1
∴ The probability of getting the number 2 when we throw a die is
P(2) = N(2)/N(S).
P(2) = 1/6.
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Regina earns 45 points every time she shops on a certain website. She needs a total of 2,880 points to receive a free item. So far, she has earned 540 points. How many more times will Regina have to shop on the website in order to earn the additional points she needs for a free item?
A.
18
B.
38
C.
52
D.
64
Answers
Answer:
C. 52
Step-by-step explanation:
You can simply subtract 540 from the total amount of points
2880-540=2340
and then you can divide that by the number of points she gets every time she shops on the website
2340÷45
Which would equal 52
So, C. 52 would be the correct answer.
Hope this helps!
A farmer created a corn maze. He charged $5 to run through the maze. Some of the trails led to winning a cash prize of $30. Make a tree diagram to show for your own reference......make sure it has: all the "group possible" paths customers might take, entering the maze on the upper, middle, or lower path and proceeding to an exit with or without a pumpkin (at each fork in the maze a person is equally likely to take any path. Finally, find the EXPECTED VALUE of playing this game.
A) $.50
B) $1.50
C) $2.50
D) $3.50
Answers
3(x - 5) = 15
Unknown variable
Answers
Answer: x = 20/3 = 6.667
Step-by-step explanation:
Solve : 3x-20 = 0
Add 20 to both sides of the equation :
3x = 20
Divide both sides of the equation by 3:
x = 20/3 = 6.667
A rectangular patio has a length of (3x-6) and a width of 5x, find the perimeter in simplest form
Answers
Select the letter for the correct answer
,
Answers
Answer:
a) 2
Step-by-step explanation:
4:8 and 6:12
4/8 and 6/12
we flip them since we want to find the conversino
8/4 and 12/6
simpilify
2 and 2
scale factor was 2
hope this helps, lmk if it is correct
It is a because 8/4 = 2 and 12/6 also = 2
i am a number with the prime factorization of a cube of a certain number and a square of 5 if may product is 200 what is the cube of may other prime number
need help
Answers
Answer:
The other prime number is 2.
Step-by-step explanation:
Prime factorization of a cube of a certain number and a square of 5
The number we dont know is x, so we have:
[tex]x^3 \times 5^2 = 25x^3[/tex]
The product is 200. What is the other prime number?
So
[tex]25x^3 = 200[/tex]
[tex]x^3 = \frac{200}{25}[/tex]
[tex]x^3 = 8[/tex]
[tex]x = \sqrt[3]{8}[/tex]
[tex]x = 2[/tex]
The other prime number is 2.
can you solve it using a method? and show work
Answers
Answer:
There are always three ways to solve a system of equationsThere are three ways to solve systems of linear equations: substitution, elimination, and graphing. Let's review the steps for each method.Find the area of the triangle
The area is =
(Simplify your answer)
Answers
Answer:
52.5 yd²
Step-by-step explanation:
1/2(10)(10.5)=52.5
7 times s increased by
2
Answers
Answer:
7s + 2 would be an expression
Answer:
7x+2? Or maybe 7x (x) 2
Step-by-step explanation:
Emxpress the fractions 3/4, 7/16, and 5/8 with the LCD
Answers
Answer: The fractions 3/4, 7/16, and 5/8 with the LCD is 12/16, 7/16, 10/16.
Step-by-step explanation:
Imari went on a hike and recorded the number of each type of bird he saw. The circle graph shows the results of his count.
Imari saw 42 sparrows.
How many birds did he count in all?
Enter your answer in the box.
Answers
Step-by-step explanation:
step 1. 42 represents 35% of the birds.
step 2. 42/.35 = all of the birds counted.
step 3. 42/.35 = 120.
step 4. There are 120 total.
Answer:
120
Step-by-step explanation:
the equations are
option 1. y= -3x+5
option 2. y= -1/3x+5
option 3. y= -3x-5
option 4. y= 1/3x+5
Answers
Answer:
option one
Step-by-step explanation:
the y intercept is at 5 and the slope is change in y over change in x and as y goes down 3 x goes up 1. -3/1=-3
PLEASE HELP I AM STUCK
Answers
Answer:
Do the pythagor theorem and add 5
It's 65
If the 13th term in a linear sequence is 92 and the 28th term in the sequence is 152, what is the 6th term in the sequence?
Answers
Answer:
ueolrkkrirllelelkrururklñeñrllkrkkrlrllrllrlrlki
Equation A: y = -9x + 14
Equation B: y = x - 6
What is the solution (
,
) to the given set of equations?
Answers
Answer:
answer is (2,-4)
Step-by-step explanation:
I did it's process in next question
Help plzzzz helppp heppppdidjjdhjrbrbfnd meeee
Answers
Answer:
The large one
Step-by-step explanation:
If she used the WHOLE thing in the large one and HALF in the smaller one then that means there is more in the large one and that it is more choclete.
Answer:
The larger one!
Step-by-step explanation:
Evaluate the function f(x) =x/2-5
For x=-3
F(-3)
Answers
find the are area of the square ABCD
Answers
Answer:
196 m2
Step-by-step explanation:
Answer:
The area of the square ABCD with side of 14m
is 196 m²
Step-by-step explanation:
Area = a*a = 14 x 14 = 196 m²
a is side
48g of 70g petcentage
Answers
Answer:
48/70 = 24/35 = 0.685714 = 68.57%
Answer:
48 acopf70 (eg)3 ( nt)2
Step-by-step explanation:
48 acopf70 (eg)3 (nt)2
if a Biro costs 12.50naira. How many biros can buy with 300 naira?
Answers
Answer:
24 biros
Step-by-step explanation:
12.50 naira = 1 biro
300 ÷ 12.50 = 24 biros
Answer:
24
Step-by-step explanation:
It's a ratio problem
Let B is Biro and N naira
B : N
1 : 12.5
x : 300
then x = 300 * (multply) 1 /12.5 = 24
I hope this is helpful to you
which number can be placed in the box to the
1 x 0 < 7 /
multiplying a fractions that
we
multiplying a fraction by all sake the
tolgatan greater than the
Les resep vieg traction greater than it
Answers
Answer:
A
Step-by-step explanation:
For the equation to be true, any number that would be multiplied by 7/5 should give us a number that is less than 7/5.
This means any number we are going to use to multiply 7/5 must not be less than 1.
²/3 is less than 1.
Let's multiply and see:
⁷/5 × ⅔ < ⁷/5
14/15 < ⁷/5 (this is true because ⁷/5 is greater than 14/15)
Therefore, the answer is A.