In triangle XYZ, the measure of angle Z is 42°, and the measure of angle Y is 68.4°. What is the measure of angle X?
9514 1404 393
Answer:
69.6°
Step-by-step explanation:
The sum of angles in a triangle is 180°, so angle X is ...
∠X = 180° -∠Y -∠Z
∠X = 180° -68.4° -42°
∠X = 69.6°
Question 2
Take a screenshot of the quadrilateral with its slopes labeled, and paste it below. Based on the slopes, which type of quadrilateral is it? Explain
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USO 10:01
edmentum answer and yea you're welcome
It should be noted that the quadrilateral is a trapezoid.
What's a trapezoid?A trapezoid is a quadrilateral with at least one pair of parallel sides. In a trapezoid, the parallel sides are called the bases, and the non-parallel sides are called the legs. The distance between the bases is known as the height or altitude of the trapezoid.
A trapezoid has two bases, which are parallel to each other. These bases can have different lengths or the same length, depending on the type of trapezoid.
The legs of a trapezoid are the non-parallel sides. They connect the bases and can have different lengths.
A trapezoid has four angles. The angles formed by the bases and legs are called the base angles, while the angles formed by the legs and non-adjacent side are called the diagonal angles.
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Which expression is equivalent to the given expression? Assume the denominator does not equal zero. 12x^9y^4/6x^3y^2
Answer:
The correct answer is 2x^6y^2
Step-by-step explanation:
I got it right. Hope this helps.
An expression is defined as a set of numbers, variables, and mathematical operations. The solution of the given expression (12x⁹y⁴)/(6x³y²) is 2x⁶y².
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression (12x⁹y⁴)/(6x³y²) can be solved as,
(12x⁹y⁴)/(6x³y²)
= (12/6) x⁽⁹⁻³⁾ y⁽⁴⁻²⁾
= 2x⁶y²
Hence, the solution of the given expression (12x⁹y⁴)/(6x³y²) is 2x⁶y².
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What is an equation of the line that passes through the point (8,-8)(8,−8) and is perpendicular to the line 4x-3y=184x−3y=18?
Answer:
The equation of the line is [tex]y = -\frac{3x}{4} - 2[/tex]
Step-by-step explanation:
Equation of a line:
The equation of a line has the following format:
[tex]y = mx + b[/tex]
In which m is the slope and b is the y-intercept.
Perpendicular lines:
When two lines are perpendicular, the multiplication of their slopes is -1.
Perpendicular to the line 4x-3y=18
First, we place this line into the format, to find the slope:
[tex]4x - 3y = 18[/tex]
[tex]3y = 4x - 18[/tex]
[tex]y = \frac{4x}{3} - 6[/tex]
This line has slope 4/3. So, for the perpendicular line, the slope will be of m as such:
[tex]\frac{4m}{3} = -1[/tex]
[tex]4m = -3[/tex]
[tex]m = -\frac{3}{4}[/tex]
So the desired line will have an equation in the following format:
[tex]y = -\frac{3x}{4} + b[/tex]
Passes through the point (8,-8)
We use this to find b. This point means that when [tex]x = 8, y = -8[/tex]. So
[tex]y = -\frac{3x}{4} + b[/tex]
[tex]-8 = -\frac{3*8}{4} + b[/tex]
[tex]-8 = -6 + b[/tex]
[tex]b = -2[/tex]
So
[tex]y = -\frac{3x}{4} - 2[/tex]
Find the missing side. If necessary,
round to the nearest hundredth.
c = [?]
a = 5
b = 8
Answer:
can u tell of which shape these sides are ??
A circle has a diameter of 41 centimeters. Which equation can be used to find the radius of this circle?
Answer:
Equation to find radius = Diameter divided by 2
Area is 1319.585
Step-by-step explanation:
Diameter = 41 cm
Radius = 41÷2 = 20.5cm
Area = πr^2
Area = 3.14×(20.5)^2
Area = 3.14×420.25
Area = 1319.585cm^2
round to the nearest hundredth 2.033
Answer:
2.03
Step-by-step explanation:
2.033
When you round to the nearest hundredth you look at the thousandths place and see if it is 5 or above. If it's 5 or above you round and change the hundredth place. ( 2.04 )
In this case it is lower than 5
So, it would be 2.03
Hope this helps dude
The round off the number 2.033 to nearest hundredth is 2.03.
What is Rounding off?Although the term "rounding" is a general one, we typically use the terms "round up" or "round down" to indicate whether the number has gone up or down after being rounded. When the rounded number is increased, then the given number is said to be rounded up, conversely, if the rounded number is dropped, then it is said to be rounded down.
We have to round off the number 2.033 to nearest hundredth.
When rounding to the nearest hundredth, check the thousandths place to see if it is 5 or higher.
If it's 5 or higher, you go around and change the hundredth place 2.04.
But here it is less than 5 which makes the round off 2.03.
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Consider the graph showing two functions.
Which answer can be used to find the solution to the system of equations?
A. x= 3/x
B. x= 9/x
C. 0= 3/x + x
D 0= 9/x + x
Answer:
B
Step-by-step explanation:
I took the test but all you need to do is find the intersecting point with your axis to get your possible answers.
Hope this helps <3
Find the perimeter and area of the figure.
4
4
8
6
12
perimeter - 60 units
area - 116 units
perimeter - 54 units
area - 112 units?
perimeter - 48 units
area - 116 units?
perimeter - 116 units
area - 60 units?
Answer:
Perimeter: 60
Area: 116
Derek has 2 feet of Tasty Cherry Rope. He plans on splitting it evenly between himself and 5 of his friends. How many inches should eat person get?
Answer:
4 inches
Step-by-step explanation:
There are six people total (derek+5 friends)
2 feet = 24 inches
24 inches divided by the 6 people = 4 inches per person
Solve the proportion 3/x+1 = 1+2
Answer:
x = 5
Common denominator of 3/x+1 to 1/2
If the numerator is 3 times, then so is the denominator in a proportion.
3/1=x+1/2
x+1 must equal 6 for the proportion to be equal to 1/2.
6-1=5, so x is 5.
function q has zeros of -3 and 8 and passes through the y-axis at the point (0,12). the rate of change of function q is -3/2 on the interval (?,?). answer for the ?’s
Answer:
Step-by-step explanation:
"function q has zeros of -3 and 8"
q(x) = a(x+3)(x-8)
"q passes through the y-axis at the point (0,12)"
a(0+3)(0-8) = 12
a = -½
q(x) = -½(x+3)(x-8) = -½x² + 2.5x + 12
q'(x) = -x+2.5
-x+2.5 = -1.5
x = 4
rate of change is -1.5 at the point (4,14).
I NEED HELP ASAP
FIND THE VAULE OF H IN THE FOLLOWING FIGURE
140°+h=180°
h=180°-140°
h=40°
for what value of x is the equation below true?
x2+4x +5=0
Hi there!
[tex]\large\boxed{\text{None.}}[/tex]
Using the discriminant formula, we can determine if this equation is ever true:
b² - 4ac
Plug in the a, b, and c values from the equation:
(4)² - 4(1)(5)
16 - 20 = -4 < 0
Since the discriminant is less than 0, there are no zeros to the equation. Thus, the equation is never true.
3a. Find the value of a.
Can you pls add work thank you for your time
Answer:
I think its 90°
Step-by-step explanation:
I dont know foe suee
Answer:
a = 98⁰
Step-by-step explanation:
According to the the triangle sum thereom, all angles in triangle add up to 180⁰.
m<a + m<b + m<c = 180⁰
m<a + 34⁰ + 48⁰ = 180⁰
m<a + 82⁰ = 180⁰
m<a + 82⁰ - 82⁰ = 180⁰ - 82⁰
m<a = 98⁰
Hope this helps, thank you :) !!
Tell whether the angles are adjacent or vertical then find the value of x
Tickets for a school jazz concert were sold before the concert and at the door. After reviewing ticket sales, the band director found that 80 fewer tickets were purchased at the door than before the concert. A total of 520 tickets were sold. Let d represent the number of tickets sold at the door and b represent the number of tickets sold before the concert. Latifa wrote the following system of linear equations to find the number of each type of ticket sold:
d + b = 520. d minus 80 = b.
What is Latifa’s error?
Latifa should have written the first equation as d minus b = 520.
Latifa should have written the second equation as d + b = 80.
Latifa should have written the first equation as b + 80 = 520.
Latifa should have written the second equation as d + 80 = b.
Answer:
D
Step-by-step explanation:
When information is being gathered about a group, the entire group of objects, individuals or events is called the....
Answer:
so hard
Step-by-step explanation:
Given the equation 3x^2−22x + 34 = −1
Which type of factoring would you use to solve this polynomial for its roots?
Question 1 options:
Quadratic Trinomial a = 1
Quadratic Trinomial a ≠ 1
Grouping
Difference of Squares
Answer:
3
Answer:
Step-by-step explanation:
3x² - 22x + 34 = -1
I wouldn't factor it at all. The Quadratic Formula always works, and there 's no guessing.
Quadratic formula
x = [22 ± √(22² – 4·3·35)] / [2·3]
= [22 ± √64] / 6
= [22 ± 8] /6
= 7/3, 5
PLEASE HELP ASAP WILL MARK BRAINLIEST ✨
Answer:
12 | 52 | 64 |
27 | 59 | 86 |
39 | 111 | 150 |
I attempted making a chart with the answers
please help with this math problem
Answer:
7, 15
Step-by-step explanation:
hope it can help you
Step-by-step explanation:
14/2 =7 so
(x+7)^2 + [ ]
if you were to multiply just the (x+7)^2 term it would look like x^2 +14x+49, but we need that final term to be equal to 64, so you can add 15 on to the end to make up for the gap.
This should get you
f(x) = (x+7)^2 + 15
Explain how to use models to divide 2.1 by 0.7
Answer:
The answer is 3
Step-by-step explanation:
0.7*3 = 2.1
Think of it this way
its basically 7 times what equals 21?
then you find out 7 timex 3 = 21
and then put the decimals
0.7 times 3 (0.7 + 0.7 + 0.7) = 2.1
besties help what's 84÷n=6
Answer:
14
Step-by-step explanation:
When one encounters a problem like this all one must do is divide the number to the left (84) by the number on the right (6) then to double check divide the outcome by the number on the left or multiply the outcome by the one on the right.
Feel free to check the equations below:
84 divided by 6 = 14
84 divided by 14 = 6
14 times 6 = 84
84 ÷ 14 = 6
Find the inverse of square root f(n) = n – 3.
Of(n) = (n + 3)
Of-1 (n) = yn +1
Of-1 (n) = -n° +1
Of-1 (n) = -n3 – 3
Answer:
[tex]f'(n) = n + 3[/tex]
Step-by-step explanation:
Given
[tex]f(n) = n - 3[/tex]
Required
The inverse
[tex]f(n) = n - 3[/tex]
Replace f(n) with y
[tex]y = n - 3[/tex]
Swap positions of y and n
[tex]n = y - 3[/tex]
Make y the subject
[tex]y = n + 3[/tex]
Replace y with f'(n)
[tex]f'(n) = n + 3[/tex]
A meteoroid moving at a constant speed travels 6 7/8 miles in 30 seconds. How far does the meteoroid travel in 1 second?
Answer:
k
Step-by-step explanation:
k
Martin had a lemonade stand in the summer. He sold 8 drinks every hour. How much time would it take Martin to sell 32 drinks? (just put the number in the answer)
Answer:
4 hours
Step-by-step explanation:
32/8=4
Answer:
4 Hours
Step-by-step explanation:
just divide 32 by 8
A sample of 50 potential customers was asked to use your new product and the product of the leading competitor. After one week, they were asked to indicate which product they preferred. In the sample, 30 potential customers said that they preferred your product. (a) Find the sample proportion. (5 points) (b) Find the 95% confidence interval for the proportion of potential customers who prefer your product. (10 points) (c) If you want the 95% maximum likely error to be 0.08 or less, what would you choose for a sample size
Answer:
a) The sample proportion is of 0.6.
b) The 95% confidence interval for the proportion of potential customers who prefer your product is (0.4642, 0.7358).
c) A sample size of 145 is needed.
Step-by-step explanation:
(a) Find the sample proportion.
30 out of 50. So
[tex]\pi = \frac{30}{50} = 0.6[/tex]
The sample proportion is of 0.6.
(b) Find the 95% confidence interval for the proportion of potential customers who prefer your product.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 50, \pi = 0.6[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 - 1.96\sqrt{\frac{0.6*0.4}{50}} = 0.4642[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.6 + 1.96\sqrt{\frac{0.6*0.4}{50}} = 0.7358[/tex]
The 95% confidence interval for the proportion of potential customers who prefer your product is (0.4642, 0.7358).
(c) If you want the 95% maximum likely error to be 0.08 or less, what would you choose for a sample size
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
We need a sample size of n, and n is found when M = 0.08. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.08 = 1.96\sqrt{\frac{0.6*0.4}{n}}[/tex]
[tex]0.08\sqrt{n} = 1.96*sqrt{0.6*0.4}[/tex]
[tex]\sqrt{n} = \frac{1.96*sqrt{0.6*0.4}}{0.08}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*sqrt{0.6*0.4}}{0.08})^2[/tex]
[tex]n = 144.1[/tex]
Rounding up
A sample size of 145 is needed.
|2x-3|=2
What is x?
Pls Help I need help very very BADDDDD!
Answer:
Hey! Hope this helps!
Step-by-step explanation:
Have an awesome Friday <3
someone help me please:)
9514 1404 393
Answer:
(12, 4)
Step-by-step explanation:
The point (12, 4) is the only one in the doubly-shaded area of the graph. Of the choices offered, it is the only one that is a solution.
__
I prefer to use a graphing calculator to draw the graph and plot the points. That is more interesting to me than evaluating the inequalities over and over.
Here, we find the first inequality is only satisfied by the first point. We can rewrite it so we're not messing with fractions.
y ≥ -5/6x +2
6y ≥ -5x +12 . . . . multiply by 6
5x +6y ≥ 12 . . . . . add 5x
Now, to check the points:
(12, 4) -- 5(12) +6(4) ≥ 12 . . . true
(0, -2) -- 5(0) +6(-2) ≥ 12 . . . not true
(6, -7) -- 5(6) +6(-7) ≥ 12 . . . not true
(-12, 7) -- 5(-12) +6(7) ≥ 12 . . . not true
Just to make sure, we can use the first point in the second inequality:
(12, 4) -- 4 ≤ 5(12) -1 . . . true
The point (12, 4) would be a solution to the two inequalities.
I really need help with this statistical/variable question, i am really struggling and would be super happy if someone could answerrr
Answer:
The 1st one is categorical
The 2nd one is categorical
The third one is quantitive
The fourth one is quantitve
The fifth one is quantitve
Step-by-step explanation:
A quantitative observation is something that is measurable.It represent data
E.x( How many cookies you ate last night)
A categorical observation is something based on your 5 senses that puts you into a specific category. (IT Doesnt have any mathematical phrases in it. It represent groups of a specific topic
E.x( what is your favorite color)
The 1st one is categorical The 2nd one is categorical The third one is quantitiveThe fourth one is quantitveThe fifth one is quantitve