Answers
Given:
The interior angles of the triangle are 44°, 3t - 45° and x - 15°
The exterior angle of the triangle is 4t - 29°
We need to determine the value of x.
Value of t:
The value of t can be determined using the exterior angle theorem.
Applying the theorem, we have;
[tex]44+3t - 45=4t-29[/tex]
[tex]3t - 1=4t-29[/tex]
[tex]-t - 1=-29[/tex]
[tex]-t=-28[/tex]
[tex]t=28[/tex]
Thus, the value of t is 28.
Value of x:
The exterior angle 4t -29 and the interior angle x - 15 are linear pairs.
Since, linear pairs add up to 180°, we have;
[tex]4t-29+x-15=180[/tex]
Substituting t = 28, we get;
[tex]4(28)-29+x-15=180[/tex]
[tex]112-29+x-15=180[/tex]
[tex]x+68=180[/tex]
[tex]x=112[/tex]
Thus, the value of x is 112.
Related Questions
The expression 2(x-1)+3 can be used to determine how many people RSVP to an invitation after x number of days. Which of the following statements is/are false? Be sure to select all that apply.
A: After 7 days, 12 people RSVP.
B: The number of people who RSVP decreases by 1 each day.
C: After the first day, 3 people have RSVP’ed to the invitation.
D: The number of people who RSVP increases by 2 people each day.
Answers
Answer:
the answer is D
if you replace x by 1 the answer is 3
if you replace x by 2 the answer is 5
if you replace x by 3 the answer is 7
etc...
Answer: D
Step-by-step explanation:
given that no of days=x
let no of people=n
n=2(x-1)+3
at x=1, n=3
at x=2, n=5
at x=3, n=7
this shows an increase of 2 for every increase in the number of days
Find the area of the circle. Round to the nearest tenth.
Answers
Answer:
28.27
Step-by-step explanation:
Area= pi x radius squared
Radius is 1/2 the diameter which in this case is 6 ft
So, pi x 3 squared (9)
= 28.27
Answer:
28.3
Step-by-step explanation:
Hello!
To find the area of a circle we use πr².
In this case, all we have to do is divide 6 by 2 and square that.
6 ÷ 2 = 3. 3² = 9.
9 × π = 28.2743....
Rounding to the nearest tenth:
28.3
Thus, the area of the circle is [tex]\boxed{28.3}[/tex].
Hope this helps!
Which expressions are equivalent to 4(-52 + 2) + (-6)?
Answers
Answer:
-232+8
Step-by-step explanation:
4 times -52 = 208
-208 = 4 x -6 = -232
4 x 2 =8
-232+8
Rolling a number less than 6 on a number cube labeled 1 through 6
Answers
Answer:
Any number from 1-5
Step-by-step explanation:
Less than 6!
Can someone help me please
Answers
Sin E is B. 1.
After making an equation i came up with this.
Solve for x please ????
Answers
Answer:
Step-by-step explanation:
First, subtract 180 and "12x-3", which equals 180-12x+3
Then add 46, "5x+7", and "180-12x+3"
46+5x+7+180-12x+3 = 180
Since the degrees in a triangle add up to 180 degrees, cancel out the 180 degrees from this side "180-12x+3" and the other side "180"
46+5x+7-12x+3=0
46+10-7x=0
56=7x
X = 8
42 is the sum of 24 and Diego height use the variable d to represent Diego right as an equation
Answers
Answer:
The equation is 42 = 24 + d
Answer:
d=42-24
42=24+d
and
24=42-d
Solve the equation. Check the solution.
6/7x= - 18
Answers
Answer:
x= -21
Step-by-step explanation:
6/7x=-18
divide both sides by 6/7
------------
x= -21
------------
Answer:
Standard form: x = -1/21 Decimal form: x = -0.047619
Step-by-step explanation:
Write 3.01 as a mixed number in simplest form
Answers
Answer:
3 1/100
Step-by-step explanation:
That is just the answer
Answer:
3 1/100
Step-by-step explanation:hope this helps god bless
use the distributive property to evaluate each expression(5-7)(-3)!!
Answers
Answer:
6
Step-by-step explanation:
Multiply both numbers by -3. I suggest getting m a t h w a y its a good math website that's helpful.
Enter the value of b when the expression 8/9x+b is equivalent to 1/9 (8x+5)
Answers
Answer:
b = 5 / 9
Step-by-step explanation:
8/9x + b = 1/9(8x + 5)
Make b the subject of formula.
b = 1/9 (8x + 5) - 8/9x
Multiply through by 9
9b = 9 * 1/9 ( 8x + 5) - 9 * 8/9x
9b = 8x + 5 - 8x
9b = 5
b = 5 / 9
The value of b = 5 / 9
If three-quarters of a gallon of ice cream was shared equally among the 5 people, what fraction of a whole gallon did each person receive?
Answers
Answer:
3/20
Step-by-step explanation:
If you divide 3/4 by 5 you get 3/20
Answer:
3/20
Step-by-step explanation:
We have 3/4 of a gallon, and we want to divide it equally among 5 people. So, we can divide 3/4 by 5
3/4 /5
Divide by 5, or multiply by the reciprocal of 5. To find the reciprocal, flip the numerator and denominator
Reciprocal: 5/1 ---flip---> 1/5
3/4 * 1/5
Multiply across the numerator and denominator
3/20
Each person gets 3/20 of a gallon
QUESTION 5
What is the next number in the pattern: 1.-2, 5, 2, 9, 6, 13, ... ?
-6
10
20
Answers
Answer:
10
Step-by-step explanation:
We can know the differences from each number
1, -2, 5, 2, 9, 6, 13, ...
~-3~7~-3~7~-3~7
The next number gonna be minus three again
So, 13 + (-3)
= 13 - 3
= 10
Hopefully help
11. Dominika wykonała dwa pudełka z przykrywkami: jedno w kształcie prostopadłościanu, a drugie w kształcie sześcianu. Do łączenia ścian użyła nici. Na które pudełko zużyła więcej kartonu.
Dam naj, 5gwiazdek i dziękujke.
Answers
Answer:
I pudełko:
a=15cm
b=20cm
H=10cm
P=2*a*b+2*a*H+2*b*H
P=2*15cm*20cm+2*15cm*10cm+2*20cm*10cm
P=600cm2+300cm2+400cm2
P=1300cm2
II pudełko:
a=15cm
P=6*a*a
P=6*15cm*15cm
P=1350cm2
1350cm2-1300cm2=50cm
Na drugie pudełko zużyła więcej kartonu
Step-by-step explanation:
The average not chocolate solo per nour auring Juanas Shirt was
The coffee shop where Juana works makes a profit of $312.50 for every 250 hot chocolates sold. How much
profit do they make on each hot chocolate sold?
Answers
Answer:
1.25
Step-by-step explanation:
3. Which of the following is equivalent to 3(y – 1 + 2y)? A. 3y – 9 B. 6y – 3 C. 9y – 3 D. 3y – 3
Answers
Final answer:
To solve the equation 3(y - 1 + 2y), distribute the 3 to each term inside the parentheses, combine like terms, resulting in 9y - 3.
Explanation:
To solve the equation 3(y - 1 + 2y), we need to distribute the 3 to each term inside the parentheses:
3 × y = 3y
3 × -1 = -3
3 × 2y = 6y
So the equation becomes 3y - 3 + 6y. Combining like terms, we get 9y - 3. Therefore, the correct equivalent expression is 9y - 3 (Option C).
Final answer:
The correct answer to the given expression 3(y – 1 + 2y) is 9y - 3, after distributing the 3 and combining like terms.
Explanation:
The given mathematical expression is 3(y – 1 + 2y). To simplify it, we should first distribute the 3 across the parentheses and then combine like terms. Here's how:
Step 1: Distribute the 3: 3 × y + 3 × (-1) + 3 × 2y = 3y - 3 + 6yStep 2: Combine like terms (3y and 6y): 3y + 6y = 9y, and you still have the -3 from the previous step.Step 3: The final simplified expression is 9y - 3.Thus, the correct answer is C. 9y – 3.
solve for area of the shaded region (#61)
Pls explain im so confused
Answers
Answer: So after reading my explanation you can simply find the area good luck!
Step-by-step explanation:
Inequality 1 is graphed in blue and inequality 2 is graphed in red. The overlap of the shaded regions (purple shading) represents the solution. ... Inequality 1 is graphed in blue and inequality 2 is graphed in red. In this case the regions do not overlap. This indicates that there is no solution to the system
Need help on this math problem
Answers
Answer:
The answer to your question would be C.
Step-by-step explanation:
Just use a graphing calculator and plug in each answer.
can someone answer this? :(
Answers
Answer:
21 times 18+9= C which is 567 in squared.
Step-by-step explanation:
You connect all the missing areas in your whole figure would be in square or rectangle.
What is the remainder in the synthetic division problem below? 1/1 2 -3 3
Answers
Answer:
3
Step-by-step explanation:
I'm assuming you want to do the following synthetic division:
1 / 1 2 -3 3
1 3 0
--------------------------------
1 3 0 3 The remainder is 3.
The remainder is -2
The remainder in synthetic division is the constant term of the quotient. To find the remainder of the synthetic division problem above, we can use the following steps:
Arrange the coefficients of the dividend and divisor in descending order of degree.
Set up the synthetic division table as follows:
2 -3 3 |1
---------------
1
Bring down the first coefficient of the dividend.
Multiply the coefficient we just brought down by the divisor and place the product in the next column.
Subtract the product from the corresponding coefficient of the dividend and place the difference in the next column.
Repeat steps 4 and 5 until we reach the last column.
The remainder is the last number in the bottom row of the synthetic division table.
Following these steps, we get the following synthetic division table:
2 -3 3 |1
---------------
1 2 -1
-2 -4 2
--------
-2
Therefore, the remainder is -2
For such more question on remainder
https://brainly.com/question/29347810
#SPJ3
three bags of chips costs m cents. At this rate, what is the cost, in cents, of one bag of chips?
Answers
Answer: m/3 cents
Step-by-step explanation:
Hi, to answer this question we have to divide the total cost of the chips (m) by the number of bags of chips (3).
Mathematically speaking:
Cost of one bag chip: m/3 cents
Since the total cost is represented by a variable, the individual cost is an expression.
If we replace the value of m by a number we will obtain the result as a number.
Feel free to ask for more if needed or if you did not understand something.
Find the value of x and angle K
Answers
Answer:
x = -13
K = 22
Step-by-step explanation:
9x - 2 = 3x + 17 + 7x - 6
9x -2 = 10x + 11
9x = 13 + 10x
x = -13
3( -13) + 17
-39 + 17 = 22
Algebraically determine if the relation x^2 + y= 100 is symmetrical with respect to the x-axis, y-axis, or the origin.
A) x-axis symmetry
B) Origin symmetry
C) Y-axis symmetry
Answers
Answer:
C) Y-axis symmetry
Step-by-step explanation:
Toni orders school lunch on Mondays, Wednesdays, and Fridays.
On what percentage of weekdays does Toni NOT order school lunch?
A. 20%
B. 30%
C. 40%
D. 60%
Answers
Answer:
40%
Step-by-step explanation:
Just trust me...
Answer:
A. 20%
Step-by-step explanation:
The gap between the days is, lets say, 10%. Tuesday is 10% and Thursday is 10%. Add it together, and you have 20%.
Can someone answer this question please answer it correctly if it’s corect I will mark you brainliest
Answers
Answer:
3. 83%, or A
Step-by-step explanation:
First you have to create the variables.
If you need to find the probablility of two items, then you first add them.
11+14 = 25.
Now, you add all the numbers.
22+14+5 = 30.
Using that, make a fraction then simplify.
25/30 = 5/6
4: D
Using the same process, add everything but the green balls.
11+5 = 17.
Now add them all up.
11+14+5 = 30
Form a fraction, then simplify.
17/30 = approximately 8/15
Answer:
Question 3: 5/6
Question 4: 8/15
Step-by-step explanation:
Yellow = y
Green = g
Red = r
Question 3) Hat:
5 red balls, 14 green balls, and 11 yellow balls
What is the probability that a yellow or green ball is chosen?
Write an equation:
y + g / y + g + r
Substitute
11 + 14 / 11 + 14 + 5
Add/Simplify
25/30
Divide both the numerator and denominator by 5 to simplify
25 ÷ 5 / 30 ÷ 5
5/6
Question 4) Bag:
5 red balls, 14 green balls, and 11 yellow balls
What is the probability that John does not choose a green ball?
Write an equation
y + r / y + r + g
Substitute
11 + 5 / 11 + 5 + 14
16/30
Divide both the numerator and denominator by 2
16 ÷ 2 / 30 ÷ 2
8/15
Hope this helps :)
When you solve a linear equation how do you recognize if the equation has 1 solution no
solution, or infinite solution?
Answers
Answer:
If you solve a linear equation you have two different lines.
Now with that being said the solutions are as follows;
One Solution: The slopes are different
No solution: The slopes are the same and the y intercepts are different
Infinite Solutions: The slopes are the same and the y intercepts are different
De los 145 estudiantes matriculados en
una escuela, solo 58 fueron a la excursión.
Qué porciento de la matrícula asistió a la
excursión?
Answers
Answer: nə dünya
Step-by-step explanation:
Explain why 3x is algebraic expression?
Answers
Step-by-step explanation:
3x contains a variable x, hence 3x is algebraic expression.
Which expression is equivalent to 24x^2-22x+5?
Answers
Look at the attached picture⤴
The right answer is of option C.
Hope it will help u...
The factored form of the expression is [tex](12x - 5)(2x - 1)[/tex]
Given the quadratic function expressed as [tex]24x^2-22x+5[/tex]
Factorizing the function, we will have:
[tex]=24x^2-22x+5\\=24x^2-12x-10x+5\\=12x(2x-1)-5(2x-1)\\=(12x-5)(2x-1)\\[/tex]
Hence the factored form of the expression is [tex](12x - 5)(2x - 1)[/tex]
Learn more on factorization here: https://brainly.com/question/11909547
Jordan is 4 feet 8 inches tall. Her mom is 5 feet 10 inches tall. How much taller is Jordan's mother than Jordan? Give your answer in feet and inches.
Answers
Answer:
1 ft 2 in
Step-by-step explanation:
Subtract each foot and each inch
Answer: Jordan's mom is 1 foot and 2 inches taller than her.
Step-by-step explanation:
5 feet and 10 inches minus 4 feet and 8 inches.
May I have brainliest?