Find the measure of angle X. The horizontal lines are parallel. HINT: The sum
of all interior angles in a triangle is 180 degrees.
Answers
===========================================================
Explanation:
The angle adjacent and supplementary to the 107 degree angle is 73 degrees because 107+73 = 180.
Or you could say 180 - 107 = 73.
The base angles of the upper isosceles triangle are 73 degrees each, which means the third remaining angle (let's call it y for now) is
73+73+y = 180
146+y = 180
y = 180-146
y = 34
Refer to the diagram below. Notice how the 34 degree angle shows up twice because we have vertical angles. Consequently, the base angles of the bottom isosceles triangle are y = 34 degrees each
We can now solve for x
y+y+x = 180
34+34+x = 180
68+x = 180
x = 180-68
x = 112, so the answer is choice D
Related Questions
HELPP PLSS ILL MARK BRIANLIEST
Answers
Answer:
128cm
Step-by-step explanation:
Your Welcome :)
62.5% of a number is 25. What is half of the same number.
Answers
let the number be b
62.5/100 x b = 25
0.625 x b = 25
b =25/0.625
b=40
half of b= 40/2 = 20
HI CAN SOMEONE THAT REALLY KNOWS ABOUT THIS HELP ME WITH FINAL EXAM...
The data represented by the following stem-and-leaf plot range from
to
489
5147
6235
769
A. 49; 79
B. 48; 79
C. 48; 76
D. 49; 76
Answers
The minimum value is always at the start of the plot, and the maximum is always at the end.
Convert the following equation into slope-intercept form.
x-26y=52
Answers
The side of a cube of volume 125cm3 is
Answers
Answer:
5 cm
Step-by-step explanation:
5 * 5 * 5 = 125
Hope this helps you
Hi there!
»»————- ★ ————-««
I believe your answer is:
5 cm
»»————- ★ ————-««
Here’s why:
[tex]\boxed{\text{Volume of a Cube Is:}}\\\\V = s^3\\\\s-\text{Side Length}[/tex]
⸻⸻⸻⸻
We would have to take the cube root of the given measurement.⸻⸻⸻⸻
[tex]\boxed{\text{Calculating the Answer...}}\\\\\rightarrow\sqrt[3]{125}\\\\\rightarrow \boxed{5}[/tex]
⸻⸻⸻⸻
The side length should be 5 cm.
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
Fourteen children out of a group of 26 like chocolate ice cream. What would be the numerator of the fraction illustrating proportion of children in this group that do not
like chocolate ice cream?
Answers
Answer:
12
Step-by-step explanation:
The amount of children that do like ice cream are 14/26 so the children that do not like ice cream 14/26, and the numerator is 12
s 77 600 seconds is how many days.
Answers
Answer:
3233.3333333333 days.
Step-by-step explanation:
Answer: 77,600 Hours = 3,233.3333 Days
Step-by-step explanation:
I don't know why there's a space between 77 and 600 so I put then together and I have no clue why there is an s in the beginning so I ignored it
Please please help me I’ve tried soooo many times
Answers
value of u = 2
Hope it helps you...
Answer:
u = 2
Step-by-step explanation:
6u + 7 = 29 - 5u
6u + 5u + 7 = 29 - 5u + 5u
11u + 7 = 29
11u + 7 - 7 = 29 - 7
11u = 22
11u ÷ 11 = 22 ÷ 11
u = 2
please help me please help me please help me
Answers
Answer:
B.50
Step-by-step explanation:
The two angles form a right angle ( indicated by the little square )
Right angles have a measure of 90 degrees
Hence, x + 10 + 30 = 90
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation we created
x + 10 + 30 = 90
Combine like terms
x + 40 = 90
Subtract 40 from both sides
x = 50
At midnight, the temperature was -8 degree Celsius. At noon, the temperature was 23
degrees Celsius. Which expression represents the increase in temperature?
Answers
Answer:
-8 + 31 = 23
our generically to be solved
-8 + x = 23
x = 23 - (-8) = 23 + 8 = 31
Which of the following represents a correct rewriting of the following equation, rewritten to solve for y? ax-by>c
Options
A: y < a/b x + c/b
B: y < a/b x - c/b
C: y > a/b x + c/b
D: y > a/b x + c/b
Answers
Answer:
Step-by-step explanation:
Answer is unclear, but keep trying
find the six rational numbers between -4 and 5/4
Answers
Answer:
1,0,-1,-2,-3,-3/10
Step-by-step explanation:
5/4 = 1.25
Therefore 6 rational numbers between - 4 and 5/4:
1,0,-1,-2,-3,-3/10
You intend to estimate a population proportion with a confidence interval. The data suggests that the normal distribution is a reasonable approximation for the binomial distribution in this case. While it is an uncommon confidence level, find the critical value that corresponds to a confidence level of 97.1%.
Answers
Answer:
The critical value that corresponds to a confidence level of 97.1% is [tex]Z = 2.18[/tex].
Step-by-step explanation:
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 z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
97.1% confidence level
So [tex]\alpha = 0.029[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.029}{2} = 0.9855[/tex], so [tex]Z = 2.18[/tex].
The critical value that corresponds to a confidence level of 97.1% is [tex]Z = 2.18[/tex].
A study of the effect of television commercials on 12-year-old children measured their attention span, in seconds. The commercials were for clothes, food, and toys.
Clothes Food Toys
43 30 52
24 38 58
42 46 43
35 54 49
28 47 63
31 42 53
17 34 48
31 43 58
Required:
a. Find the values of mean and standard deviation.
b. Is there a difference in the mean attention span Of the children for the various commercials?
Answers
Answer:
(a)
Mean
[tex]\bar x_1 = 31.375[/tex]
[tex]\bar x_2 = 41.75[/tex]
[tex]\bar x_3 = 53.00[/tex]
Standard deviation
[tex]\sigma_1 = 8.73[/tex]
[tex]\sigma_2 = 7.65[/tex]
[tex]\sigma_3 = 6.04[/tex]
(b) Yes, there is a difference in the mean
Step-by-step explanation:
Solving (a): The mean and standard deviation of each commercial
This is calculated as:
[tex]\bar x = \frac{\sum x}{n}[/tex]
For clothes:
[tex]\bar x_1 = \frac{43+24+42+35+28+31+17+31}{8}[/tex]
[tex]\bar x_1 = \frac{251}{8}[/tex]
[tex]\bar x_1 = 31.375[/tex]
For food:
[tex]\bar x_2 = \frac{30+38+46+54+47+42+34+43}{8}[/tex]
[tex]\bar x_2 = \frac{334}{8}[/tex]
[tex]\bar x_2 = 41.75[/tex]
For toys:
[tex]\bar x_3 = \frac{52+58+43+49+63+53+48+58}{8}[/tex]
[tex]\bar x_3 = \frac{424}{8}[/tex]
[tex]\bar x_3 = 53.00[/tex]
The sample standard deviation is:
[tex]\sigma = \sqrt{\frac{\sum(x - \bar x)^2}{n-1}}[/tex]
For clothes:
[tex]\sigma_1 = \sqrt{\frac{(43 - 31.375)^2 +.............+(31 - 31.375)^2}{8-1}}[/tex]
[tex]\sigma_1 = \sqrt{\frac{533.875}{7}[/tex]
[tex]\sigma_1 = \sqrt{76.2678571429}[/tex]
[tex]\sigma_1 = 8.73[/tex]
For food:
[tex]\sigma_2 = \sqrt{\frac{(30 - 41.75)^2 +............+(43 - 41.75)^2}{8-1}}[/tex]
[tex]\sigma_2 = \sqrt{\frac{409.5}{7}}[/tex]
[tex]\sigma_2 = \sqrt{58.5}[/tex]
[tex]\sigma_2 = 7.65[/tex]
For toys:
[tex]\sigma_3 = \sqrt{\frac{(52-53.00)^2+...................+(58-53.00)^2}{8}}[/tex]
[tex]\sigma_3 = \sqrt{\frac{292}{8}}[/tex]
[tex]\sigma_3 = \sqrt{36.5}[/tex]
[tex]\sigma_3 = 6.04[/tex]
Solving (b): Difference in mean in the commercials;
In (a), we have:
[tex]\bar x_1 = 31.375[/tex]
[tex]\bar x_2 = 41.75[/tex]
[tex]\bar x_3 = 53.00[/tex]
[tex]\bar x_1 \ne \bar x_2 \ne \bar x_3[/tex]
Hence, there is a difference in their means
Enter each intercept as an ordered pair (x, y). Use a comma to separate the ordered pairs of multiple intercepts. You may enter an exact answer or round to 2 decimal places. If there are no solutions or no real solutions for an intercept enter ∅.
Answers
Answer:
mm what the de une wtah boaim msua
Round 25,471 to the nearest ten thousand.
Answers
Is this right help me PLEASE
Answers
Answer:
Letter B, C and E are correct
Step-by-step explanation:
hope this helps
tell if you got it right
Answer:
Letter B, C and E are correct
Step-by-step explanation:
hope this helps
A. Direction: Find the area of the following circle:
1)
Radius= 5cm
Area=________
2)
Radius= 3.2 cm
Area= ________
3)
Diameter= 10 cm
Area= ________
Pasagot po plss. Pasahan kona po sa lunes:))
Answers
Answer:
Here,
Step-by-step explanation:
1. Area = 78.57 cm²
2.Area = 32.18 cm²
3. Radius= diameter/2
so area = pi.r²
area = 78.57 cm²
PLEASE HELP ASAPPP!! I WILL GIVE BRAINLIEST AND POINTS!!
The safety inspector notes that Ray also needs to plan for a vertical ladder through the center of the coaster's parabolic shape for access to the coaster to perform safety repairs. Find the vertex and the equation for the axis of symmetry of the parabola, showing your work, so Ray can include it in his coaster plan.
f(x) = -x2 - 6x
Answers
Answer:
The vertex is at (-3, 9).
The axis of symmetry is x = -3.
Step-by-step explanation:
We have the function:
[tex]f(x)=-x^2-6x[/tex]
And we want to determine its vertex and the equation of its axis of symmetry.
The vertex can be found with the following formulas:
[tex]\displaystyle \text{Vertex}=\left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]
In this case, a = -1, b = -6, and c = 0.
Find the x-coordinate of the vertex:
[tex]\displaystyle x=-\frac{(-6)}{2(-1)}=-3[/tex]
To find the y-coordinate substitute this value back into the function:
[tex]\displaystyle f\left(-\frac{b}{2a}\right)=f(-3)=-(-3)^2-6(-3)=9[/tex]
So, the vertex of the equation is (-3, 9).
The axis of symmetry is goes through the vertex point. So, the equation for the axis of symmetry is simply the x-value. Therefore, the equation is:
[tex]x=-3[/tex]
Step-by-step explanation:
you can arrange f(x) as :
f(x) = 3(x^2 +3x ) +12 = 3 (x +1.5) ^2 + 5.25
so you can see the vertex is at (0,5.25) when x =-1.5
the axis symmetry then lies in x =-1.5
Find the distance between the pair of points: (0,1) and (1,0)
Answers
Answer:
sqrt(1^2 + 2^2)
[tex]\sqrt{2}[/tex]
Step-by-step explanation:
What is the sum of the interior
angle measures of a polygon
that has 20 sides?
Sum = [?]"
Hint: Sum = (n-2)180
Answers
Step-by-step explanation:
if N= given Side then,
(20-2)180
18×180
3240° Answer
Answer:
n=20 side
sum=(n-2)180
=(20-2)180
=(18)180
=3240
In randomly generated list of numbers from 0 to 4, the chance that each
number can occur is
1/4
Answers
0
1
2
3
4
So the chance of each number is 1/5 or 20%
Answer:
Foss
Step-by-step explanation:
The two sets of lines are parallel. If the measure of angle A is 110°, what is the measure of angle B?
Answers
Answer:
Sum of 2 interior angles =180
1 angle+70=180
Another angle=110
Step-by-step explanation:
Find the slope and y-intercept of the equation.
y=-07x-9
Answers
Answer:
Slope: -7
y-intercept: (0, -9)
Step-by-step explanation:
y-intercept (0,9)
Which sum or difference is modeled by the algebra tiles?
A. (x2 − 2x + 3) − (-x2 − 4x − 2) = 2x − 1
B. (x2 − 2x − 3) + (x2 − 4x + 2) = 2x − 1
C. (x2 − 2x − 3) − (x2 + 4x + 2) = 2x − 1
D. (x2 − 2x − 3) + (-x2 + 4x + 2) = 2x – 1
Answers
im solving now almost done
Answer:
b.) (x2 − 2x − 3) + (x2 − 4x + 2) = 2x − 1
;)
Suppose you and a friend are playing this game. You draw a card from a bag. Each card has one letter on it.
There is one card for every letter in the words WHO WILL WIN.
If you draw a W, you win,
If your friend draws an L, she wins.
Is this a fair game? Explain.
Answers
Answer:
No it is not fair how can two people win
Researchers from a large community college in California are interested in understanding the demographics of students enrolled in their online classes. The researchers collected the following data for the 2017/2018 school year.
Male Female Total
Online Only 2,000 7,000 9,000
Online and in class 8,000 1,000 9,000
Total 10,000 8,000 18,000
What does the data suggest about the relationship between sex and enrollment?
a. Females are more likely to enroll in Online Only courses than males.
b. Females are more likely to enroll in Online and In Class courses than males.
c. There are more females enrolled at the community college than males.
d. Females are equally likely as males to enroll in an Online Only course.
Answers
Answer:
a. Females are more likely to enroll in Online Only courses than males.
Step-by-step explanation:
Given
The collected data
Required
Which of the options is true
(a): Female more likely in online only courses
In online courses, we have:
[tex]Female = 7000[/tex]
[tex]Male = 2000[/tex]
By comparison:
[tex]7000 > 2000[/tex]
Hence, this statement is true
Other options are false
by how much is 2690 less than 3780
Answers
Step-by-step explanation:
Subtract 2690 from 3780
3780
-2690
=1090
a)Loss is denoted by a negative integer and profit is denoted by a positive integer. A
cement company earns a profit of ₹ 10 per bag of white cement and a loss of ₹ 5 per
bag of grey cement. The company sells 325 bags of white cement and 500 bags of
grey cement. What is its profit or loss? PLS HELP 20 POINT PLZ
Answers
Question: An expression is shown below: f(x) = x^2 – 6x + 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work.
Part B: Is the vertex of the graph of f(x) going to be a maximum or minimum? What are the coordinates of the vertex? Justify your answers and show your work.
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph.
Answers
Answer:
x-int > 1 and 5
vertex > 3,4
maximum
Step-by-step explanation:
you have to factor the equation(x-1)(x-5) > xint is 1 and 5