Answer:
m∠x = 128°
Step-by-step explanation:
Step 1: Find n
We use Supplementary Angles and Sum of Triangle Interior Angles to find n.
180 - (198 - 5n) = 5n - 18
m∠z + m∠y + m∠x₁ = 180°
(5n + 37) + (n + 7) + (5n - 18) = 180
Step 2: Solve for n
Solve by combining like terms and properties.
11n + 26 = 180
11n = 154
n = 14
Step 3: Plug in n into m∠x equation
198 - 5(14)
198 - 70
m∠x = 128°
The answer is D) 128
The remote exterior angle here is x. The remote exterior and is always equivalent to the remote interior angles. Thus, x = y + z.
198 - 5n = 5n + 37 + n + 7
198 = 11n + 44
154 = 11n
n = 14
x = 198 - 5n
x = 198 - 70
x = 128 degrees
Hope it helps, and would greatly appreciate it if you could mark this brainliest if it does <3
Choose the equation that represents a line that passes through points (-1, 2) and (3, 1).
0 4x - y = -6
O x + 4y = 7
Ox - 4y = -9
O 4x + y = 2
Answer:
The answer is x + 4y = 7
Equation of a line is y = mx + c
Where m is the slope
c is the y intercept
Slope of the line between the points
(-1, 2) and (3, 1) is
Slope = 1-2/ 3+1 = - 1/4
Equation of the line using point
(-1, 2) is
y - 2 = -1/4(x + 1)
4y - 8 = - x - 1
x + 4y = 7
Hope this helps you
Which points lie on more than one plane?
O A ands
X and Y
O Mands
M and R
Answer:
x and y
Step-by-step explanation:
x and y are on the intersection of the 2 planes, meaning they lie on more than 1 (two) planes.
If we're being technical, it's all of them, because an infinite amount of planes go through 2 points.
Mathematics, Help, not sure about my answer on this one
Answer:
F. 2 1/9
Step-by-step explanation:
Step 1: Substitute q
[tex]r = 3(\frac{1}{3^n} )+2[/tex]
When you plug in n = 1, 2, 3:
n(1) = 3
n(2) = 2.11111
n(3) = 2.3333
So our answer is F.
Find the missing length indicated.
Answer:
It will be 35 inches sq
Step-by-step explanation:
The values of x is 120.
What is Pythagoras theorem?A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.
in ABC
AC²= AB² + BC²
289²= AB² + BC²........................(1)
In ABD
AB²= AD² + BD²
AB²= 225² + x²
In BCD
BC²= CD² + BD²
BC²= 64² + x²
Put the values in (1)
289²= 225² + x² + 64² + x²
2x² = 28800
x= 120
Learn more about Pythagoras theorem here:
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(Will mark brainliest if corret.)
Margaret is saving money for her summer vacation. She calculates that her starting amount is 0.4% of the total amount she wants to save. What is 0.4% written as a decimal?
Answer:
0.4% = 0.40 or 0.4
Can anyone help me do this
Answer:
260% of 420=1092
166 2/3%of 60= 100
Given the parent function of f(x) = x^(4, what change will occurr when the function is changed to f((1)/(2) x))
Answer:
The graph of the function f( (1/2)x ) will expand across x-axis
Step-by-step explanation:
We have been given the function:
f(x) = x⁴
If we substitute x = (1/2)x into the given equation, we get:
f((1/2)x) = ( (1/2)x )⁴
We can simplify the equation
f((1/2)x) = = (1/2)⁴ x⁴
f((1/2)x) = = (1/16) x⁴
Graph of both of the functions is shown below. We can clearly see that that the graph of the function f((1/2)x) = = (1/16) x⁴ expands horizontally on x-axis as compared to the graph of f(x) = x⁴
Find the missing length to the attached triangle.
Answer:
x = 135
Step-by-step explanation:
Use the right triangle altitude theorem and similar triangles.
x/81 = 225/x
x^2 = 81 * 225
x = 9 * 15
x = 135
Answer:
135
Step-by-step explanation:
expression
equation
formula
identity
inequality
term
factor
multiple
Choose only two words from the box above to make this statement correct.
8y is a _____in the_____7x + 8y
Answer:
Term
Expression
Step-by-step explanation:
8y is a term in the expression
7x + 8y
There are two terms in the expression 7x + 8y
First is 7x
Second is 8y
7 and 8 are coefficient of x and y respectively
7x+8y is an expression because there is no equality sign(=), it doesn't equate to any value.
Unlike an equation that has the Equal to sign(=)
There are three basic types of expression:
1. Arithmetic expression
2. Character expression
3. Logical or relational expression
What is the degree of the polynomial given below?
F(x) - 2x3 - x2 +5x - 3
Answer:
3
Step-by-step explanation:
3 is the degree of polynomial [tex]f(x) = -2x^3-x^2+5x-3[/tex]
=> Degree of the polynomial is the highest power/exponent contained by the variable in the expression.
Answer:
The degree of the polynomial would be 3, since 3 is the largest exponent
Step-by-step explanation:
Which graph represents the solution set for the system x + y> 5 and -3x + 2y< -2.
A trader claims that the proportion of stocks that offer dividends is different from 0.14. If the trader wants to conduct a hypothesis test, should they use a left-, right-, or two-tailed hypothesis test to analyze whether the proportion of stocks that offer dividends is different from 0.14? Select the correct answer below: Left-tailed test Right-tailed test Two-tailed test
Answer:
The correct option is;
Two-tailed test
Step-by-step explanation:
From the interpretation of the question statement, the trader wants to conduct a hypothesis test on the trader's claim that the proportion of stocks that offer dividends is different from 0.14
Given that the difference is hypothesized, then the null hypothesis, H₀ and the alternative hypothesis, H₁ should be written as follows;
H₀: Null hypothesis (no difference, or no change)
H₁: μ ≠ μ₀ which is hypothesizing difference which is known as a two-tailed test
The confidence level is then selected and the test statistic is calculated
NO is parallel to ML. How long is OL?
2/3ft
6ft
8ft
12ft
Answer:
Step-by-step explanation:
Basic Proportionality Theorem: Basic Proportionality Theorem states that "If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio".
Hence, KN/MN=KO/OL.......by bpt
i.e.= 3/9=2/OL
18/3=OL
6feet =OL
answer is b)6feet
pls mark brainliest if it helps
5.2 is 23.7 % Of what number? (Round to the nearest hundredth.)
Answer:
21.94
Step-by-step explanation:
Convert the percentage to a decimal.
23.7% = 0.237
Divide the number the decimal.
5.2/0.237 = 21.94
The answer is 21.94.
The sum of all the interior angles in a triangle is blank degrees.
Answer:
180 degress
Step-by-step explanation:
triangles always add up to 180
Rewrite the function by completing the square
Answer:
[tex](x+10)^2-186[/tex]
Step-by-step explanation:
Gasoline prices are rising at a rate of 0.5% per month. What is their doubling time? By what factor will prices increase in one year? In six years?
Answer:
double: 1%
year6%
6 year: 36%
Step-by-step explanation:
What is the maximum possible number of unique zeros for the
function
F(x)= ax 5 +bx+cx-1?
3
4
10
5
Answer:
5 zeros maximum
Step-by-step explanation:
Recall that a polynomial has as many roots (zeros) in the Complex number system, as its degree. So in the given case, where the leading term of the polynomial carries order 5, the maximum number of zeros for the given function cannot be larger than 5.
can anyone help me on both please dont put stupid awsers to get the points
Answer: Ok for the second one because I don't really get the wording in the first one (thats cuz i SUCK at vocabulary) the answer is 756,100 and a number greater is any number from 756,073-756,149
Step-by-step explanation:
ok so 756072 rounds to 756100 because 72 is closer to 100 than it is to 0
from 50 on, you would round up so to round up to 756100 the smallest possible number is 756050 since the 50 will round up
the highest number is 756149 because from 50 onwards it will round to 756200 instead.
so you can choose any number from 756050-756149
Which simplified fraction is equivalent of 5.6 3/15 14/25 5/6 14/250
Answer:
4/25
Step-by-step explanation:
What point is a solution to the inequality shown in this graph
Answer: A
Step-by-step explanation:
The solution to the graph of inequality given above is the shaded portion or the shaded part of the graph.
Since the point ( -3, -3) and ( 3, -1 ) are on the point line, and the line is a broken line, the inequality means greater than. That means that solution must be greater than those point. They are therefore not part of the solution.
Point ( 5, -5), where x = 5 and y = -5, according to the graph, the shaded portion does not cover y at -5.
Option C is therefore the correct answer which is within the shaded portion. (1, 5)
PLEASE HURRY Quadilateral abcd is inscribed in circle z such that AB is parallel to DC and m
Answer:
41°
Step-by-step explanation:
Looking at the attached diagram
A central angle of a circle is always congruent to its intercepted arc.
Therefore, m arc BC = m∠BZC
Again, m∠BAC is one-half m arc BC, as the measure of an inscribed angle is half the measure of its intercepted arc.
This gives us the following results:
= m∠BZC = 82°
= m arc BC = m∠BZC
= m arc BC = 82°
= m∠BAC = 1/2 × 82°
= m∠BAC = 41°
Note that:
∠DCA ≅ ∠BAC because alternate interior angles are congruent.
So m∠DCA = m∠BAC.
Hence, m∠DCA = 41°.
What is the formula for finding the area of a regular polygon with perimeter P and apothem length a? A. A = 1/2(Pa) B. a = PA C. A = Pa D. a = 1/2(PA)
Answer:
The answer is A.) A=1/2(Pa)
Step-by-step explanation:
The area of a regular polygon with perimeter 'P' and apothem length 'a' is [tex]\frac{1}{2}Pa[/tex] .
What is a regular polygon?A polygon is a two-dimensional geometrical figure that has 'n' number of equal sides.
Given, the perimeter of the regular polygon is 'P'.
Apothem length of the polygon is 'a'.
Therefore, the area of a regular polygon is
[tex]= \frac{1}{2}Pa[/tex]
Learn more about a regular polygon here: https://brainly.com/question/4442699
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Write an equation of a ine in slope-intercept form that passes through a point (4,-6) and has a slope of -3.
Answer:
y= -3x +6
Step-by-step explanation:
slope-intercept form:
y=mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -3, m= -3.
Susbt. m= -3 into the equation:
y= -3x +c
Since the line passes the point (4, -6),
(4, -6) lies on the line and must therefore satisfy the equation. Thus, susbt. (4, -6) into the equation to find the value of c.
y= -3x +c
when x=4, y= -6,
-6= -3(4) +c
-6= -12 +c
c= 12 -6
c= 6
Hence, the equation of the line is y= -3x +6.
2) The volume of water in swimming pools in a local neighborhood are normally distributed. What is the percentage of
volumes that are within 3 standard deviation of the mean?
Answer:
The percentage of volumes that are within 3 standard deviation of the mean is 99.73%.
Step-by-step explanation:
We want to calculate the area under the curve within 3 standard deviations from the mean.
If we use the standard normal distribution, this probability can be calculated as the diference between P(z<3) and P(z<-3).
[tex]P(-3<X<3)=P(z<3)-P(z<-3)\\\\P(-3<X<3)=0.9987-0.0013=0.9973[/tex]
The area under the curve for the standard distribution and for any normal distribution within 3 standard deviation from the mean is 0.9973.
The percentage of volumes that are within 3 standard deviation of the mean is 99.73%.
1. Label and display your new polynomial identity 2. Prove that it is true through an algebraic proof, identifying each step 3. Demonstrate that your polynomial identity works on numerical relationships (x + y)* (x^2 + 2xy + y^2) the new polynomial
Answer:
(ax+b) (x+a)
Step-by-step explanation:
Solve for x
X-5= -9 please help
Answer:
A. x = -4
Step-by-step explanation:
We are given the equation:
x - 5 = -9
In order to solve for x, we must "undo" the -5 by adding 5 to both sides:
x - 5 + 5 = -9 + 5
x = -4
The answer is thus A.
~ an aesthetics lover
x-5= -9
we need to put everything in the right part to easily calculate it:
x=5 -9 or you can write (-9+5)
then, we have that x= -4
One line passes through the points (−3,−1) and (1,−9). Another line passes through points (1,4) and (5,6). Are the lines parallel, perpendicular, or neither?
Answer:
the lines are perpendicular
Step-by-step explanation:
the first step to this question will be to find the slope intercept form of each of these lines. to do this we will first:
find the slope-
(-3,-1) and (1,-9)
y2-y1 / x2- x1
-9 - (-1) / 1 - (-3) (negative - negative = positive)
-8 / 4
therefore the slope is:
-2
we know that slope intercept form is y=mx+b
so.. y= -2x +______
I left the last part blank, because we only have the first half of the equation, now we will substitute the value of x and y into the equation from one of the coordinate points given above.
(-9) = -2(1) + _____
now we can simplify:
-9 = -2
this equation (-9 = -2) is not true, therefore we need to determine what we have to do to -2 to make it equal to -9.
-9 = -2 - 7 is true
therefore the answer is :
y= -2x-7
therefore the slope intercept form is y= -2x - 7
now that you know how to find the slope intercept form, you can find the other slope intercept form, and i'll provide the answer:
the slope intercept form you should find is
y= [tex]\frac{1}{2}[/tex]x + [tex]\frac{7}{2}[/tex]
now when we plot both of these lines we can see that:
the lines are perpendicular, meaning the lines pass through each other.
Answer:
the two lines are perpendicular to one another
Step-by-step explanation:
Find the slopes of the two lines and then compare them.
If the slopes are the same, the lines are parallel.
If the slopes are negative reciprocals, the lines are perpendicular.
If neither of these conditions hold, then the lines are neither parallel nor perpendicular.
(−3,−1) and (1,−9): As we go from the first point to the second, x (the "run") increases by 4 and y (the "rise") decreases by 8. Thus, the slope of the line through (−3,−1) and (1,−9) is m = rise / run = -8/4, or m = -2.
(1,4) and (5,6): As we go from the first to the second, x increeases by 4 and y increases by 2. Thus, the slope of the line through (1,4) and (5,6) is
m = rise / run = 2/4 = 1/2.
Because 1/2 is the negative reciprocal of -2, we know that the two lines are perpendicular to one another.
Please help me with question eightttt thank you
Answer:
Question 8 should be 25.6 hours
Step-by-step explanation:
Since time = distance/speed.
We just replace the words with the appropriate numbers.
time =
[tex] \frac{ 3.84 \times {10}^{5} }{1.5 \times {10}^{4} } [/tex]
which equals 25.6
which is the recursive formula for this geometric sequence? -16, -7, 2, 11,
Answer:
A
Step-by-step explanation:
[tex]a_{1}=-16\\c.d. d=-7-(-16)=-7+16=9\\a_{n}=a_{n-1}+d\\a_{n}=a_{n-1}+9[/tex]
Answer:
a1=-16
an=an-1+9
Step-by-step explanation:
This is for clarification for the person above who probably made it confusing for some people
Remember, the letter doesnt matter, because everyones test is in a different order.