Answer: ∠E=55°
Step-by-step explanation:
Concept
- In all similar triangles, their corresponding angle will be the same value
- Triangle angle sum theorem: the three interior angles of a triangle add up to 180°
Given
- Two pairs of corresponding angles
- Two similar triangles
Solve
(6x-15)+4x=(5x-1)+4x ⇔ Add the angles up
6x-15=5x-1 ⇔ Subtract 4x on both sides
x-15=-1 ⇔ Substract 5x on both sides
x=14 ⇔ Add 15 on both sides
180-4x-(5x-1) ⇔ Find ∠E by subtracting the other two angles from 180
=180-4(14)-([5(14)-1]
=180-56-69
=55°
Hope this helps!! :)
Please let me know if you have any questions
Which speeds are equal to 1/2 mile per hour? Mark all that apply.
5/6 mile/5/12 hour
1/4 mile / 1/2 hour
1/10 hour / 1/5 mile
3/8 mile / 3/4 hour
2/3 hour / 1/3 mile
4/5 mile / 4/10 hour
/
answer :
3/8 mile / 3/4 hour
 What is the volume of this cone?
Answer:
C) volume = 84.8 m³
Step-by-step explanation:
volume = 1/3πr²h = 1/3(3.14)(3²)(3) = 84.8 m³
Answer:
[tex]volume = 28.3m^3[/tex]
Step-by-step explanation:
[tex]volume \: of \: cone = \frac{1}{3} \times 3 \times 3.14 \times { 3}^{2} = 28.3{m}^{3} [/tex]
Fifteen 7th graders were asked how many hours they spend doing homework each week and how many hours they spend watching television each week. the results are shown in the dot plots below
Answer:
A.
18 > 14, trueB.
12 - 16 = -4, trueC.
Mean:
Homework = (4 + 6*2+10*3+12*2+14*4+16*2+18)/15 = 11.73Television = (0 + 10*3+12*1+16*3+18*4+20*3)/15 = 14.8The difference:
14.8 - 11.73 > 1, NOT trueD.
TrueThe Hiking Club plans to go camping in a State park where the
probability of rain on any given day is 30%. What is the probability
that it will rain on exactly one of the five days they are there? Round
your answer to the nearest thousandth.
Answer:
0.013
Step-by-step explanation:
Use binomial probability:
P = nCr pʳ (1−p)ⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
and p is the probability of success.
Given n = 6, p = 0.69, and r = 0 or 1:
P = ₆C₀ (0.69)⁰ (1−0.69)⁶⁻⁰ + ₆C₁ (0.69)¹ (1−0.69)⁶⁻¹
P = (1) (1) (0.31)⁶ + (6) (0.69) (0.31)⁵
P = 0.013
how do i do this?.......
Order of operations (from high priority to low priority):
Parentheses
Exponents
Multiplications/Division
Addition/Subtraction
All in left to right.
2 ÷ (5 + 3)⁻¹ ÷ 4
2 ÷ (8)⁻¹ ÷ 4
2 ÷ 1/8 ÷ 4
16 ÷ 4
= 4
What would the simplified equivalent of (3^-3)^2 be?
Answer:
3
-----
2
Step-by-step explanation:
PLEASE HELP ME, THIS IS DUE TODAY!!!
Answer:
i think im late...
Step-by-step explanation:
ANSWER NUMBER 2 PLEASE
1. The following test scores were collected from a math class: 84, 72, 78, 80, 75, 88, 43, 90, 75. Determine the outlier.
The outlier is 43.
2. Based on the data set in #1, which measure would better describe the test scores?
A. Mean
B. Median
Answer:
B: Median
Step-by-step explanation:
If there is an outlier then the median is better.
If there isn't an outlier then the mean is better.
10) What is the value of x in the figure below?
Answer:
x=68
Step-by-step explanation:
let y equal the vertical angles
49+55+ y= 180
y=76
vertical angles are equal
35+76+x=180
x=68
One more than the product of 17 and Matt's savings
Use the variable m to represent Matt's savings.
Answer:
17m=2
Step-by-step explanation:
hey plz pick mine as the brainliest?
Three students, Brayden, Adrian, and Aubrey, line up one behind the other. How many different ways can they stand in line?
hii please help i’ll give brainliest
PLEASE HELP I don't understand this stuff yet. Brainliest give away!
Answer: I think the answer is B
Step-by-step explanation: My reasoning is that since some houses are expensive, and some houses are very cheap, the average house is in the middle, and that is the median.
Answer:
c bc he should use the median cause it is in the affect the mean
Step-by-step explanation:
David and his dad are building a room in the basement. They want the
room to have an area of 150 ft?. If one wall is 11.25 ft. long, how long must the other
wall be? Show your work.
A principal of a school with 484 students collected information about how many of the students wear glasses
Answer:
students
Step-by-step explanation:
you're missing a part?
An ice machine uses 3 gallons of water every 9 hours How many gallons of water does it use each hour? How many hours does it
take to use one gallon?
A)gallon per hour, 1 hour
B)gallon per hour; 3 hours
C)3 gallons per hour, 1/9 hour
D) 1/3 gallon per hour
1/3 hour
Answer:
1/3 gallon per hour, and it takes 3 hours to use one gallon
Step-by-step explanation:
Simplify the ratio
3-9
Which simplifies to
1-3
———————————————
pls help ! tysm!!!!!!!!!!
Answer:
332
Step-by-step explanation:
332
Name a pair of vertical angles
Answer:
Angle 2 and Angle 4 are vertical angles
Please help I have been stuck for a while now
Answer:
B. Between x 2 and x 3
Step-by-step explanation:
Please Help Me!
The table lists the steps to construct a tangent to circle P through point T. Drag the steps so they are in order.
Answer:
The answer is already in the correct formation, there is nothing to change.
Answer:
the person above is right.
Danielle earns a 7.5% commission on everything she sells at the electronics store where she works. How much commission did she earn last week if she sold $3,500 in electronics merchandise?
Answer:
$262.5
Step-by-step explanation:
Given data
Commission earned= 7.5%
Sales for last week= $3,500
Let us find the amount of the commission
=7.5/100* 3500
=0.075*3500
=$262.5
Hence the commission earned last week is
$262.5
Pablo made a dot plot and histogram to show how many times last month each student in a class
played sports. However, the histogram is incorrect.
Times Played Sports Last Month
10
Times Played Sports Last Month
Number of students
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19
Number of times
5-9
10-14 15-19
Number of times
Answer the questions to show how Pablo can fix the histogram to match the dot plot.
Answer:
D
Step-by-step explanation:
Because I know
Answer:
1. The bar interval is correct, the height does not need to be changed.
2. The bar interval is not correct, the height has to change higher by 1.
3. The bar interval is not correct, the height has to change lower by 1.
4. The bar interval is correct, the height does not need to be changed.
I hope this helped
Suppose you know that the prices paid for cars are normally distributed with a MEAN or $17,000 and a STANDARD DEVIATION of $500. Use the EMPIRICAL RULE to find the percentage of buyers who paid
Complete question :
Suppose you know that the prices paid for cars are normally distributed with a MEAN or $17,000 and a STANDARD DEVIATION of $500. Use the EMPIRICAL RULE to find the percentage of buyers who paid between 15500 and 17000
Answer:
49.85%
Step-by-step explanation:
Mean = 17000
Standard deviation = 500
Obtain the Z score, which is the number of standard deviations from the mean :
((17000 - 17000) / 500) = 0
((15500 - 17000) / 500) = - 3
-3 to 3 = (3 standard deviations)
However,
The value here is (-3 to 0) ; which is only 3 standard deviations to the left.
3 standard deviation = 99.7% (empirical rule)
Since it is only (-3 to 0) ; which is only 3 standard deviations to the left. ; the percentage will be halved
99.7% / 2 = 49.85%
Hence, percentage of buyers who paid between 15500 and 17000 is 49.85%
Find the unit rate.if 5 pounds of potatoes cost $8.60, how much does one pound of potatoes cost.
Answer:
1.72
Step-by-step explanation:
8.60= 5 Pounds
So you divide by 5
8.60/5
1.75
The box plot show the price of textbooks at a local high school. What range describe the middle 50% if the price (p) of the textbooks?
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the box plot is not attached.
However, the interpretation of the question is to determine the inter-quartile range (IQR) ; this represents the middle 50% of scores
To answer this question, I will make use of the attached box plot.
IQR is calculated as:
[tex]IQR = Q_3 - Q_1[/tex]
[tex]Q_1[/tex] and [tex]Q_3[/tex] are represented by the vertical edges of the rectangle in the box plot. [See attachment]
Reading [tex]Q_1[/tex] and [tex]Q_3[/tex], we have:
[tex]Q_1 = 37[/tex]
[tex]Q_3 = 50[/tex]
The IQR is:
[tex]IQR = 50 - 37[/tex]
[tex]IQR = 13[/tex]
Hence, the range that describes the middle 50% of the attached plot is 13
Given the following exponential function, identify whether the change represents
growth or decay, and determine the percentage rate of increase or decrease.
y = 190(0.93)
my question is BELOW so answer is pls due today
Write a unit rate that compares 48 kids to 6 teams.
(Answer in the form of a:b)
a : b = 8 : 1
Answer:
kids : teams
a : b
48 : 6
( 48 : 6 ) ÷6
8 : 1
Solve for x and round your answer to the nearest tenth.
Answer:
I believe it should be 32.9
Step-by-step explanation:
0.8 k - 20 = -60
what does ‘k’ equal?
Answer:
K = -50
Step-by-step explanation:
0.8(-50) - 20 = -60, because 0.8(-50) = -40, and when you subtract a negative you would "add" those numbers. So it would be 40 + 20 = 60, which would make it -60.
Answer:
k equals -50Step-by-step explanation:
0.8 k - 20 = -60
0.8k = -60 + 20
0.8k = -0
k = [tex]\frac{-40}{0.8}[/tex]
k = -50