Answers
If the triangles are similar, then the angles are all congruent.
Therefore, we can start by setting the two middle angles equal to each other.
4x + 7 = 5x - 10
7 = x - 10
x = 17
Middle angle = 75
Now that we know our x-value, we can simply plug in x for our other two expressions.
3 * 17 = 51
4(17) - 14 = 54
We can check to make sure that our angle measures are correct by adding them all up and making sure they equal 180.
54 + 51 + 75 = 180
180 = 180
Hope this helps!! :)
Answer:
54, 51, 75
Step-by-step explanation:
4x+7=5x-10 because they are vertical angles and are therefore equal to eachother. x=17.
After plugging the 17 into the equations you get 4(17)+7=75. 3(17)=51. All angles in a triangle add up to 180. We already have 75 and 51 in the first triangle, to get the third length you need to subtract that from 180. 180-75+51=54.
The second triangle will give you the same lengths. 5x-10=75. 4(17)-14=54. Again, 180-75-54=51.
Your final lengths are 75,51,54.
Related Questions
In ΔABC, the measure of ∠C=90°, BC = 16 feet, and AB = 48 feet. Find the measure of ∠B to the nearest tenth of a degree.
Answers
Answer:
70.5º
Step-by-step explanation:
cosB = adj/hyp
cosB = 16/48
cosB = 1/3
B = arccos 1/3
Use calculator
∠B = 70.5º
If x varies inversely as y and x = 24 when y = 4, find x when y = 12.
Answers
what that makes no sense
z=−12i+11
What are the real and imaginary parts of z ?
Answers
Answer:
it is easy simply you can answer-12 imaginary 11 is real
pls answer pls pls hurry
Answers
Answer: This can not be answered unless you choose a bigger photo.
Step-by-step explanation:
Sorry
Find the median and mean of the data set below:
5, 7, 3, 36, 7, 23
Ed
Answers
Answer: mean is 13.5 and median is 7
Step-by-step explanation:
to get median you do (7+7)/2 and get 7 and for the mean you just add all of the numbers and divide by how many numbers there are. Basically it is 81/6 to get 13.5
Answer:
Median = 7
Mean = 13.5
Step-by-step explanation:
To find the median, put them in increasing order:
3, 5, 7, 7, 23, 36
cross out the values on the ends until you meet in the middle:
/, 5, 7, 7, 23, /
/, /, 7, 7, /, /
Find the average of the two middle numbers: (7+7)/2 = 7
Median = 7
For the mean, add all numbers and divide by the amount of numbers you have:
3 + 5 + 7 + 7 + 23 + 36 / 6
=81/6
= 13.5
Elam can wire a light in 40
minutes. Michael can wire a
light in 60 minutes. How long
would it take them to wire the
light together?
Answers
Answer:
24 minutes
Step-by-step explanation:
We use 1/a + 1/b = 1/c
where a and b are the individual times and c is the time together
1/40 + 1/60 = 1/c
Multiply each side by 120c
120c( 1/40 + 1/60 = 1/c)
3c + 2c = 120
5c = 120
Divide each side by 5
5c/5 = 120/5
c = 24
Answer: 24 minutes
Step-by-step explanation: To solve this kind of a problem which is called a work problem, it's important to understand the following idea.
Since Elam can wire a light in 40 minutes, we know that in 1 minute,
Elam can wire 1/40 of the light and in 2 minutes, Elam can wire 2/40 of it.
Therefore, in t hours, Elam can wire t/40 of the light.
The same applies for Michael, in t hours, he can wire t/60 of the light.
So to solve the problem, we use the following formula:
Part of job done by Elam + part of job done Michael = 1 job done
The part of the job done by Elam is t/40 and t/60 for Michael.
So we have t/40 + t/60 = 1.
Now multiply both sides by 120 to get 3t + 2t = 120
or 5t = 120 so t = 24.
So it takes 24 minutes if they work together.
Please HELPP with this question
Answers
9514 1404 393
Answer:
551.07 yd²
Step-by-step explanation:
For radius r and height h, the total surface area of the cylinder is given by ...
SA = 2πr(r +h)
Here, the radius is 4.5 yards (half the diameter) and the height is 15 yards. That makes the surface area ...
SA = 2(3.14)(4.5 yd)(4.5 +15 yd) = 551.07 yd²
The formula for the area of a triangle is A = = { bh. Find the area of a triangle with a base (b) of 7 feet and a height (h) of 12 feet.
Answers
Answer:
A=42ft
Step-by-step explanation:
plz brian list
Ani was told to write the number four and eight hundredths. She wrote
4.8. Explain whether or not you think Ani is correct. If you think she is not correct, write the number correctly.
Answers
Answer:
It would be 4.08, so Ani is wrong writing it as 4.8.
Step-by-step explanation:
So, with this, the number 4 is 4, a single-digit number. Anything below that has a decimal point before it. With the knowledge of there being 8 hundredths, first see this diagram explaining the terms for numbers after the decimal point:
0.1 --> 1 Tenth
0.01 --> 1 Hundredth
0.001 ---> 1 Thousandth
With this, we can see that it will be something of the likes of 4.01-4.09. Since there are 8 Hundredths, it would be 4.08, as 0.01 * 8 = 0.08.
Therefore, she is wrong because she wrote it as 4 and 8 tenths rather than 4 and 8 hundredths.
what is the value of b?
Answers
Answer:
24
Step-by-step explanation:
2b = b+24
2b-b = 24
b = 24
Yo i need some math expert because im confused:
Is this true??:
9.06 = 9.6
Because if its true, does it mean that if you round it both to the nearest tenth, it would have the same answers.
If its false, i want to know why and what will be the answer if both numbers are rounded to the nearest tenth
MARKING BRANLIEST FOR A VALUABLE ANSWER! Anything off topic will be report.ed.
Answers
what is the reciprocal of 9/7?
Answers
Answer:
its 7/9
Step-by-step explanation:
you just have to flip the fractions
Answer:
7/9
Step-by-step explanation:
Flip the fraction
GIVING OUT BRAINLIEST !!! HELP ME PLSS
Answers
Answer:
Step-by-step explanation:
For a year you owe 1600 on a credit card you pay 19% interest a year how much are you paying
Answers
Step-by-step explanation:
Simple interest = Principle * time * rate of interest
= 1600 * 1 * 19%
= 1600 * (19/100)
= 304
Total amount of debt
= 1600 + 304
= 1904
Answer:
1296
Step-by-step explanation:
Choose the three rectangular prisms that have a volume of 24 cm3.
= 1 cm
A.
D.
E.
Answers
Answer: I think is A, D, E
Step-by-step explanation:
Need help I really do pls my going to get a f and I don’t want to repeat
Answers
1. -2<2 2. -4> -5. -20<20. -7>-8. -10<-1. 50>-100
mentioned some good points about commerce subject in grade 12??
Answers
Answer:
You can easily be employed in the future
you can be in any profession such as bank accountant,trader, manager at business etc
Step-by-step explanation:
hope you like it
Answer:
well I like
Step-by-step explanation:
to be honest their all i don't know how to explain but their all OK i guess
help with find Find the value of x
Answers
Answer:
x = 6
Step-by-step explanation:
assume those two lines are the diameters of the circle:
2x + 12 = 15 + x + 3
=> x = 6
Can u help me with 1/2 plz
Answers
Answer:
1.) Yes, it is a function
2.) No, it is not a function.
Step-by-step explanation:
1.) It is a function because none of the numbers in the x-axis repeat.
2.) It is not a function because the numbers in the x-axis repeats 0 three times.
If the measure of angle A=55 degrees, b=12, and c = 7 then find the measure of angle B.
Answers
Answer:
use the sine rule
Step-by-step explanation:
For a statistics class project, a college student randomly samples 75 men who exercise at a gym regularly and 68 women who exercise at a gym regularly. The college tudent believes that on average men spend more time at the gym each week. The college student records the number of minutes each person exercises in a given week. The college student conducts a hypothesis test at the 5% significance level.
Use the summary statistics to conduct a hypothesis test in StatCrunch. (Open an empty StatCrunch spreadsheet. Choose Stat, T Stats, two sample, with Summary. Adjust the alternative hypothesis as necessary Two Sample T-Test
Sample n Mean Std. Dev.
Men 75 65.7 13.9
Women 68 64.8 9.6
What conclusion can you draw from the output?
i. The data provide sufficient evidence to reject the null hypothesis and to conclude that the mean amount of exercise (minutes) is greater for men than for women at this gym.
ii. The data provide sufficient evidence to conclude that there is no difference in the mean number of minutes exercised per week for men and women.
iii. The data do not provide sufficient evidence to conclude that the mean number of minutes exercised per week is larger for men than for women at this gym
Answers
Answer:
iii. The data do not provide sufficient evidence to conclude that the mean number of minutes exercised per week is larger for men than for women at this gym
Step-by-step explanation:
1) The hypotheses are
H0: u1 ≤ u2 against the claim Ha: u1 > u2
The men spend less or equal time than the women at the gym each week
vs
the men spend greater time than the women at the gym each week
2) The test statistic is
t= (x1`- x2`) / √ s1²/n1+ s2²/n2
t= 65.7- 64.8/√(13.9)²/75 + (9.6)²/68
t= 0.9/√2.57613 +1.35529
t=0.4539
and the degrees of freedom is
3) υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1
=[(13.9)²/75 + (9.6)²/68]²/ [(13.9)²/75 ]² /74 + [ (9.6)²/68]²/67
= 139
The degrees of freedom is always rounded in this calculation
4) The Critical region is [1.656, ∞]
5) t-score is outside of the critical region, so there is not enough evidence to reject H₀.
iii. The data do not provide sufficient evidence to conclude that the mean number of minutes exercised per week is larger for men than for women at this gym
Which pair of launch angles below will travel
the same range given the same initial velocity?
A) 30° and 50°
B) 25° and 35°
c) 40° and 50°
D) 30° and 70°
Answers
To Find :
Which of the given pair of launch angles below will travel the same range given the same initial velocity.
Solution :
We know, two projectile with same velocity and different angles a and b can have same initial velocity on when the following condition satisfies :
a + b = 90°
Now, putting all the given value in above condition, we get for value 40° and 50° the above condition is true.
Therefore, option c) is correct.
What is the radius of an arc length of 8 m that measures 45°?
Answers
Aaron, Glenn, James, Matt and Trevor stop for pizza. The boys decide to order the same type of pizza. A whole pizza is divided into eight equal pieces and costs seventy cents a slice. Aaron says he will eat one-half of a pizza. Glenn says he will eat one-fourth of a pizza. James says he will eat three-eighths of a pizza. Matt says he will eat four-eighths of a pizza and Trevor says he will eat three-eighths of a pizza. How many whole pizzas do the boys order and what does each boy pay for his pizza slices? Show all your mathematical thinking.
Answers
Answer:
The correct answer is -
1. 2 whole pizza
2. each boy pay for his pizza slices are -
Aaron - $2.80
Glenn - $1.40
James - $2.10,
Matt - $2.80 and
Trevor - $2.10
Step-by-step explanation:
According to the question, Aaron, Glenn, James, Matt, and Trevor are boys who ordered pizza as per their requirements.
Total slices ordered are -1/2 of pizza or 4 for Aaron, 2 for Glenn, 3 slices for James, 4 slices for Matt and 3 for Trevor,
= 4+2+3+4+3 = 16 slices
2 pizza means = 16 slices
total price = 70 cents*16
= $11.20
each boy pay for his pizza slices are -
Aaron - $2.80 - 4 slice
Glenn - $1.40 - 2
James - $2.10, -3
Matt - $2.80 - 4
Trevor - $2.10 -3
which of the is not an example of property tax?
A) Tax paid on the value of a farm a person owns
B) Tax paid on the value of a piece of land a person owns
C) Tax paid on the value of a piece of furniture a person owns
D) Tax paid on the value of a home a person owns
Answers
Answer:
C
Step-by-step explanation:
Furniture is not counted as property that can be taxed.
you want to create a 99 confidence interval with a margin of error of 25 assuming that the population standard deviation is equal to 1.5 what's the minimum size of the Rams Tampa
Answers
Answer:
The minimum sample size is 239.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Population standard deviation is equal to 1.5
This means that [tex]\sigma = 1.5[/tex]
Margin of error of 0.25
This means that [tex]M = 0.25[/tex]
What's the minimum size of the sample?
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.25 = 2.575\frac{1.5}{\sqrt{n}}[/tex]
[tex]0.25\sqrt{n} = 2.575*1.5[/tex]
[tex]\sqrt{n} = \frac{2.575*1.5}{0.25}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*1.5}{0.25})^2[/tex]
[tex]n = 238.7[/tex]
Rounding up:
The minimum sample size is 239.
Plz help me I mark you brainlylist and give point
Answers
Answer:
Step-by-step explanation:
part a ) Triangular prism
part b) 6
Which of the following measures can have more than one value for a set of data?
© Median
- Mode
© Mean
© None of these
Answers
Answer:
mode
Step-by-step explanation:
I need help asap thank you
Answers
Answer:
H
Step-by-step explanation:
One winter, a group of students measured snowfall totals at their school. This chart shows how many inches of snow the students measured each month How much total snowfall did they receive at their school that winter?
month. snowfall
December 4.2
January. 8.9
February. 5.4
Answers
Answer: 18.5 inches
Step-by-step explanation:
The total snowfall that the students received at their school that winter will be the addition of the snowfall for each month and this will be:
= December snowfall + January snowfall + February snowfall
= 4.2 + 8.9 + 5.4
= 18.5
The total snowfall is 18.9 inches.