Answers
Answer:
30 degrees
Step-by-step explanation:
Keep this in mind, ALL triangles must equal 180 degrees.
This is an acute triangle, hence one of the angles is 90 degrees. To find the other two angles, we must solve for x. Since we know the sum of all angles in this triangle must equal 180 degrees, we know for setting up our equation, all the angles should equal 180.
[tex]90 + (x+37) + (x+67) = 180\\[/tex]
Now solve for x by isolating x
[tex]2x + 194 = 180\\2x=-14\\x=-7[/tex]
Our x is -7, now that we know that the numerical value of x is -7, replace x with -7 for angle A.
-7 + 37 = 30
<A is 30 degrees.
Check your work
Plug in -7 where you see x.
[tex]90 + (x+37) + (x+67) = 180\\90 + (-7+37) + (-7+67) = 180\\90 + 30 + 60 = 180\\180 = 180[/tex]
Turns out this was a 30-60-90 triangle. ✅
Related Questions
I NEED HELP PLZ ITS FOR MY FINAL
Answers
There are 9 times as many cubes in the black bag as in the green bag. The green bag has 12 cubes. How many cubes are in the black bag?
Answers
Answer:
108
Step-by-step explanation:
Answer:
108 cubes
Step-by-step explanation:
9 times 12 equals 108
9 • 12 = 108 cubes
I need help on a math problem on my homework
Answers
Answer: Where is the question?
Step-by-step explanation:
Which will have a higher effective interest rate - a payday loan for $1500 that
is due in 12 days with a fee of $90, or a payday loan for $1500 that is due in
10 days with a fee of $90?
A. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the shorter period
B. A payday loan for $1500 that is due in 10 days with a fee of $90,
since it has the shorter period
C. A payday loan for $1500 that is due in 10 days with a fee of $90.
since it has the longer period
D. A payday loan for $1500 that is due in 12 days with a fee of $90,
since it has the longer period
Answers
Answer:
B. A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period
The higher effective interest rate is for A payday loan for $1500 that is due in 10 days with a fee of $90, since it has the shorter period, the correct option is B.
What is Interest Rate?Interest Rate is the rate at which a person either takes loan, or a person lends money to somebody.
The interest rate is different for different types of loans, some interest are simply calculated on the principal, called as Simple Interest while some are calculated on both the principal and the interest, called as Compound Interest.
A payday loan has principal of $1500
It is due in 12 days, so time period is 12 days.
The interest amount is $90
I = P * R *T / 100
90 = 1500 *12 *R /100
R = 0.5 %
A payday loan has principal of $1500
It is due in 10 days, so time period is 10 days.
The interest amount is $90
90 = 1500 *10 *R /100
R = 0.6 %
The rate of interest is more for a payday loan for $1500 that is due in
10 days with a fee of $90.
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for edmentum or plato how do you make a chart or graph larger. not enough rows for my checkbook assignment
Answers
here hope this helps!
Step-by-step explanation:
Please give me the correct answer
Answers
Hope this helps and happy holidays!!
What is the value of t in this situation 2t+5=2t+5
Answers
Answer:
t = infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
2t + 5 = 2t + 5
Step 2: Solve for t
Subtract 5 on both sides: 2t = 2tDivide 2 on both sides: t = tHere we see that t does indeed equal t.
∴ t = infinite amount of solutions
The price of a television was increased from $200 to $250. By what percentage was the price of the television increased
Answers
Answer:
20%
Step-by-step explanation:
cuz quick meths
Solve for x
4x + 188
6x+216
Answers
Explanation is :
A model giving the area A, in square meters, of a path is A = x^2 - 18x +80. Which equivalent expression shows the length and the width of the path?
A. A= (x-15)(x-3)
B. A = (x-10)(x-8)
C. A= (x-16)(x-5)
D. A = (x-20)(x-4)
Answers
Answer:
B
Step-by-step explanation:
The equivalent expression shows the length and the width of the path is (x-10)(x-8).
What is Quadratic Equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax² + bx + c = 0, where x is the variable, a and b are the coefficients, and c is the constant term. First, there must be a term other than zero in the coefficient of x² (a≠ 0) for an equation to be a quadratic equation. The x²term is written first when constructing a quadratic equation in standard form, then the x term, and finally the constant term. The numerical values of a, b, and c are typically expressed as integral values rather than fractions or decimals.
Given:
A = x² - 18x +80.
Now, factorizing
x² - 10x - 8x + 80
=x(x-10) - 8(x-10)
=(x-8)(x-10)
Hence, equivalent expression shows the length and the width of the path is (x-10)(x-8).
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is 42x - 56y equivalent to 42 (x + 14y)
Answers
Answer:
No
Step-by-step explanation:
42x+588
Two shirt screening companies charge a set up fee and a charge for
each shirt made. The table shows the total costs for the company
Shirt Express. The total cost y (in dollars) for x shirts made by Shirt
Custom is represented by the equation y = 8 + 46.
Answers
Answer:
y=54
Step-by-step explanation:
What is 0.612 repeating (meaning the repeating line is over 612) as a fraction
Answers
Answer:
[tex]\frac{612}{999}[/tex]
Step-by-step explanation:
To convert repeating decimals to fractions, you take the numbers that are repeating, in this case 612, and you see how many numbers are repeating. Here we have 3 numbers repeating and so you would divide 612 by 3 9's meaning 999. So 0.612 repeating is equal to [tex]\frac{612}{999}[/tex]. To make sure the answer is right, you can divide the numbers in a calculator to make sure you get the correct decimal.
Identify the following parasite provided and draw a large labelled diagram of each
specimen
Answers
Answer:
Spiced eye gonna flush my toilet now ;)
Answer:
hes right
Step-by-step explanation:
y = 2(x - 2)2 + 1
10
What is the
a. Vertex
b. Axls of Symmetry line: x =
c.y.Intercepts:(
Answers
Answer:
Step-by-step explanation:
Vertex
A 6% sales tax charged on a $43.50 Item. How much is paid for the item altogethe
Answers
Answer: Simply multiply 43.50 x .06 you get 2.61 add them = $46.11
Step-by-step explanation:
Answer:
$46.11
Step-by-step explanation:
Net price $43.11
plus tax $2.61
Based on a sample of 100 employees a 95% confidence interval is calculated for the mean age of all employees at a large firm. The interval is (34.5 years, 47.2 years).
A. What was the sample mean?
B. Find the margin of error?
C. Find the critical value tc for:
a. a 90% confidence level when the sample size is 22.
b. an 80% confidence level when the sample size is 49.
Answers
Answer:
a
[tex]\= x = 40.85[/tex]
b
[tex]E = 5.85[/tex]
Ca
[tex]t_c = 2.08 [/tex]
Cb
[tex] t_c = 1.282 [/tex]
Explanation:
From the question we are told that
The sample size is n = 100
The upper limit of the 95% confidence interval is b = 47.2 years
The lower limit of the 95% confidence interval is a = 34.5 years
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{a + b }{2}[/tex]
=> [tex]\= x = \frac{47.2 + 34.5 }{2}[/tex]
=> [tex]\= x = 40.85[/tex]
Generally the margin of error is mathematically represented as
[tex]E = \frac{b- a }{ 2}[/tex]
=> [tex]E = \frac{47.2- 34.5 }{ 2}[/tex]
=> [tex]E = 5.85[/tex]
Considering question C a
From the question we are told the confidence level is 90% , hence the level of significance is
[tex]\alpha = (100 - 90 ) \%[/tex]
=> [tex]\alpha = 0.10[/tex]
The sample size is n = 22
Given that the sample size is not sufficient enough i.e [tex]n < 30[/tex] we will make use of the student t distribution table
Generally the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 22 - 1[/tex]
=> [tex]df = 21[/tex]
Generally from the student t distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] at a degree of freedom of 21 is
[tex]t_c =t_{\frac{\alpha }{2} , 21 } = 2.08 [/tex]
Considering question C b
From the question we are told the confidence level is 80% , hence the level of significance is
[tex]\alpha = (100 - 80 ) \%[/tex]
=> [tex]\alpha = 0.20[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex] t_c =Z_{\frac{\alpha }{2} } = 1.282 [/tex]
in a packet or Skittles there are, 40 Skittles,30 are red how many Skittles are not red
Answers
Answer:
10
Step-by-step explanation:
hope this helps ")
What is the range in interval notation?
Answers
Answer:
The blue box
Step-by-step explanation:
Youre talking about range which takes place on the y-axis (domain is the x-axis).
The top point is an open circle which indicates in the math world the parentheses and the bottom point 1 in a bracket as its a closed circle.
Estimate the solution of 4x + 5 = 34.
Answers
Answer:
29/4
Step-by-step explanation:
4x=29
x=29/4
The value of x and the solution of the equation is 7.25.
What is an Equation?An equation is a statement that is formed when two algebraic expressions are equated by an equal sign.
The solution of 4x+5 = 34 is
4x = 34-5
4x = 29
x = 29/4
x = 7.25
The value of x and the solution of the equation is 7.25.
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Rick is taking a 1-mile ride on his bicycle. For each rotation of his tire, he travels 72 inches. How many rotations will his tire make during the 1-mile trip?
O 73 rotations
O 83 rotations
O 780 rotations
O 880 rotations
SHOW YOUR WORK!!!
Answers
Answer:
880 rotations or D
Step-by-step explanation:
72 inches = 72 / 12 = 6 feet
1 mile = 5280 feet
1 rotation covers 6 feet
x rotations covers 5280 feet
1/x = 6/5280 Cross multiply
6x = 5280 * 1 Divide by 6
x = 5280 /6
x = 880
D
n ÷ -6 = 4 - (-2)
-12
36
-36
12 ********************************
Answers
Answer:12
Step-by-step explanation:
;)88):4?8’kifssvjimdargyjkk
(2/3)x = 12
what does x =
Answers
Answer:
x=18
Step-by-step explanation:
To solve for x you need to times both sides by 3/2 so then 12*3/2=12*1.5=18.
(can I get brainliest please)
Answer:
X = 18
Step-by-step explanation:
(2/3)X = 12
X = 12/(2/3)
X = 36/2
X = 18
HELPP WITHH MATHHH PLEASE SMART PEOPLE
Answers
Answer:
is not; 4t
Step-by-step explanation:
Because when you switch the signs for substraction like 2-3 you will get -1, but if you do 3-2, then youll get 1. The Same goes for this question. If you plug in 2 for t, like 13(2)-4(2), it will be 26-8, which is 18. But if you do the same for the other equation, 4(2)-13(2), you will get 8-26, which equals -18. So -18 does not equal 18 because one postive and the other is negative.
Answer:
is not; -4t
Step-by-step explanation:
It's not the same because the negative sign always belongs to the number in front of it.
Select two ratios that are equivalent to 2:9
Choose 2 correct answers 40 points
Answers
Answer:
4:18 6:27 8:36
Step-by-step explanation:
What is the image of the point (-8,0)(−8,0) after a rotation of 270^{\circ}270
∘
counterclockwise about the origin?
Answers
Answer:
(0,8)
Step-by-step explanation:
270 counterclockwise is the same as 90 clockwise, the formula for 90 clockwise is (y, -x) so plug in the variables and you get (0,8)
Which polynomial represents the product of 2x - 4 and x2 + 6x - 2 ?
ОА
2x3 + 8
thing
B
2x3 + 8x2 - 4x + 8
с
2x3 + 8x2 - 28x + 8
D
2x3 - 24x - 2
Answers
Answer:
C. [tex] 2x^3 + 8x^2 - 28x + 8 [/tex]
Step-by-step explanation:
Product of [tex] 2x - 4 [/tex] and [tex] x^2 + 6x - 2 [/tex]
[tex] (2x - 4)(x^2 + 6x - 2) [/tex]
[tex] 2x(x^2 + 6x - 2) -4(x^2 + 6x - 2) [/tex] (distributive property)
[tex] 2x^3 + 12x^2 - 4x -4x^2 - 24x + 8 [/tex]
Collect like terms
[tex] 2x^3 + 12x^2 - 4x^2 - 4x - 24x + 8 [/tex]
[tex] 2x^3 + 8x^2 - 28x + 8 [/tex]
Joey wants to paint this side of his cottage. What is the area of this side?
A. 56 square feet
B. 238 square feet
C. 294 square feet
D. 462 square feet
Answers
Answer:
238 B
Step-by-step explanation:
8.5*28
ANSWER ASAP PLEASE
If Jose drove 330 miles in 5.5 hours, how many miles did he drive per hour?
Answers
Answer:
60mph
Step-by-step explanation:
330 divided by 5.5 is 60
Pls solve I will give brainliest
Answers
Answer:
B
Step-by-step explanation:
If I am wrong let me know
