Answer:
Step-by-step explanation:
∠1+∠2=180°
3x+x+36=180
4x=180-36=144
x=144/4=36°
∠1=3x=3×36=108°
∠2=x+36=36+36=72°
The measures of the angles are m∠1 = 108° and m∠2 = 72°.
Given,
m∠1 = 3x°
m∠2 = (x + 36)°
We need to find the measure of these angles.
What is a straight line angle?The straight line angle is 180 degrees.
If the angle is split the sum must be equal to 180 degrees.
We have,
m∠1 = 3x°
m∠2 = (x + 36)°
The figure is at a straight-line angle.
So we have,
m∠1 + m∠2 = 180°
3x° + (x + 36)° = 180
3x + x + 36 = 180
4x + 36 = 180
4x = 180 - 36
4x = 144
x = 144/4
x = 36
Now,
- m∠1
= 3x
= 3 x 36
= 108
- m∠2
= x + 36
= 36 + 36
= 72
Thus the measures of the angles are m∠1 = 108° and m∠2 = 72°.
Learn more about straight line angles here:
https://brainly.com/question/13037238
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Francisco makes $11 per hour doing part time work on Saturdays. He spends $3 on transportation to and from work. The equation y = 11x - 3 gives his earnings y, after transportation costs, for working x hours. Complete the table of values for this situation.
x=2
x=3
x=4
x=5
Answer:
x=4
Step-by-step explanation:
State if the triangles in each pair are similar. If so, state how you know they are similar.
Answer:
A) similar; SAS similarity.
Step-by-step explanation:
SAS Triangle Similarity
The SAS criterion for triangle similarity states that if two sides of one triangle are proportional to two sides of another triangle and their included angles are congruent, then the triangles are similar.
We are given two triangles BCD and JKL. Sides DB and JL have a ratio of 90/20 = 4.5
Sides JK and BC have a ratio of 81/18 = 4.5
Since both sides are proportional and their included angle of 43° are congruent, then both triangles are similar, SAS similarity.
A) similar; SAS similarity.
There were 5 women, 4 men, 6 girls and 7 boys at a birthday party.
How many ways can 1 woman and 1 man be chosen to take coats as
people enter?
Answer: 20 ways
Step-by-step explanation:
Given: There were 5 women, 4 men, 6 girls and 7 boys at a birthday party.
i.e. Number of women = 5
Number of men = 4
According to the fundamental counting principle , we have
(Number of women ) x (Number of men)
= 5 x 4
= 20
Hence, 1 woman and 1 man can be chosen in 20 ways to take coats.
3.
If m
complement of
Answer:
complement of what ?
Step-by-step explanation:
Please answer! I will give brainliest to the correct answers.
Answer:
(n+10)+9
{(n+10)+9}/2
[{(n+10)+9}/2]-5
All you have to do is follow the steps!
Think of a number - n
Add 10 - n + 10
Add the number you were thinking of - n + 10 + n
Divide by 2 - (n + 10 + n) / 2
Subtract 5 - ((n + 10 + n) / 2) -5
It may look hard, but its not as hard as you think. All you need to do is follow the steps!
Help pleaseeeeeeeeeeeeeeeee
Answer: 0.92 feet (choice B)
You're close but not quite there. To get the answer, you divide 29.44 over 32
If you had 32 feet of banner and 32 students, then each student would get 32/32 = 1 foot. Since the length of the banner is smaller than the number of students, this means each student only gets a fraction of a foot. This fraction value is fairly close to 1 because 29.44 is close to 32.
Answer:
B: 0.92
Step-by-step explanation:
Divide the banner length by the amount of students
[tex]\frac{29.44}{32}[/tex]
Which is the equation of a line that has a slope of 1/2 and passes through point (2, -3) ?
One cause of major climate changes is the position of Earth relative to the _________________.
please help due in ten minutes!
thanks :)
Answer:
The recent role of the greenhouse effect
Step-by-step explanation:
Suppose your normal body temperature is 98 3/5 degrees Fahrenheit. If your body temperature goes up 3 1/5 degrees on Monday and then down 2 1/5 degrees on Tuesday, what is your temperature on Tuesday?
Answer:
can you help me if I help you plz
solve for m (8m+4) 38 degrees
Answer:
305m+152
Step-by-step explanation:
(8m+4)38
Multiply each term in the parentheses
8m times 38 plus 4 times 38
Multiply 8m times 38
304m plus 4 times 38
Then Multiply 4 times 38
304m+152
That should be your answer, but I could be wrong, therefore I am so sorry if I am. I hope this helps you.
A 12 inch board is cut into three pieces so that the second piece is as long as the first piece and the third piece is 3 times as long as the first piece of x represents the first piece find the lengths
Step-by-step explanation:
well that seems like a you problem lol
14. The first tree on the left is 8cm tall and is 30cm from the vanishing point. If the third tree is 20em from the
vanishing point, how tall is it?
d.
160 cm
8 cm
C.
b. 0.1875 cm
a.
5.3 cm
Answer:
5.3cmStep-by-step explanation:
Step one:
given data
First tree
the tree is 8cm tall
and 30cm from the vanishing point
Third tree
let the tree be x cm tall
and 20cm from the vanishing point
Step two:
if 8cm tree will be 30cm at the vanishing point
then x cm tree will be 20cm at the vanishing point
cross multiply we have
x= (20*8)/30
x=160/30
x=5.3cm
The third tree is 5.3cm tall
the question is the picture
Answer:
1/5x
Step-by-step explanation:
A gradient is another word for slope.
every 4 minutes the volume increases by 20
so = rise/run = 4/20
now reduce
4/20
2/10
1/5
The question is below (This an order of operation question)
Step-by-step explanation:
i am 90% sure this is correct
Answer:
Step-by-step explanation:
Do multiplication first since it comes before the division in this equation
1/5 · 1/2 = 1/10
Plug this value back into the equation
1/2 - 1/10 + 2/5 ÷ 7/10
Divide 2/5 by 7/10
4/7
Plug this value back into the equation
1/2 - 1/10 + 4/7
Subtract 1/10 from 1/2
2/5
Plug this value back into the equation
2/5 + 4/7
Add.
34/35
Hope this helps :)
Please consider Brainliest :)
(01.01 MC)Why is 2 + (−3) equal to −1? Because it is 3 units to the left of 2 on a horizontal number line Because it is 3 units to the right of 0 on a horizontal number line Because it is 3 units to the left of 0 on a horizontal number line Because it is 3 units to the right of 2 on a horizontal number line
Answer:
Because it is 3 units to the left of 2 on a horizontal number line
Step-by-step explanation:
Given
[tex]2 + (-3) = -1[/tex]
Required
Why?
The interpretation of the question is that:
[tex]2 + (-3) = -1[/tex]
What is the result when 2 is shifted 3 units in the negative direction (i.e. towards the left)?
First, we have a horizontal to have the the following representation:
<.....-4 -3 -2 -1 0 1 2 3 4 5 ......>
Taking the positions of 2 and -1 into consideration,
<.....-4 -3 -2 -1 0 1 2 3 4 5 ......>
We can see that the distance between 2 and -1 is 3 units towards the left
In other words, -1 is 3 units from 2 in the left direction
Hence, option A answers the question
Answer:
Because it is 3 units to the left of 2 on a horizontal number line
Step-by-step explanation:
Please help
Drag the tiles to the correct boxes to complete the pairs.
Match each division of rational expressions with its quotient.
Answer:
The pairs are:
[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex] => [tex]\frac{p^2}{9q^2}[/tex]
[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex] => [tex]6pq^3[/tex]
[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex] => [tex]6p^2q^2[/tex]
[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex] => [tex]\frac{q}{3}[/tex]
Step-by-step explanation:
We are going to solve the questions one by one and then write the quotients with every question.
In order to calculate the division, the terms are multiplied then exponents are added or subtracted between numerator and denominator to get the simplest form of answer.
First Expression:
[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex]
When two fractions have to be divided the second fraction is reversed i.e. numerator becomes denominator and vice versa.
[tex]= \frac{4p^3q}{6p^2q^2} * \frac{2p^2q^2}{12pq^3}\\=\frac{p^5q^3}{9p^3q^5}\\=\frac{p^2}{9q^2}[/tex]
Second Expression:
[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex]
Removing the division symbol
[tex]=\frac{10p^3q^3}{2p^2q} * \frac{6pq^2}{5pq}\\=\frac{6p^4q^5}{p^3q^2}\\=6pq^3[/tex]
Third Expression:
[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex]
Removing the division symbol
[tex]=\frac{14p^2q^3}{2pq} * \frac{6p^3q^2}{7p^2q^2}\\= \frac{6p^5q^5}{p^3q^3}\\= 6p^2q^2[/tex]
Fourth Expression:
[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex]
Removing the division symbol
[tex]=\frac{16pq^3}{24p^2q^3} * \frac{p^3q^3}{2p^2q^2}\\=\frac{p^4q^6}{3p^4q^5}\\=\frac{q}{3}[/tex]
Hence,
The pairs are:
[tex]\frac{4p^3q}{6p^2q^2}\div \frac{12pq^3}{2p^2q^2}[/tex] => [tex]\frac{p^2}{9q^2}[/tex]
[tex]\frac{10p^3q^3}{2p^2q}\div \frac{5pq}{6pq^2}[/tex] => [tex]6pq^3[/tex]
[tex]\frac{14p^2q^3}{2pq}\div \frac{7p^2q^2}{6p^3q^2}[/tex] => [tex]6p^2q^2[/tex]
[tex]\frac{16pq^3}{24p^2q^3}\div \frac{2p^2q^2}{p^3q^3}[/tex] => [tex]\frac{q}{3}[/tex]
Let’s fix some n e {1,2,3,...}. A biased coin with probability of head p is tossed n times, and the number of heads, N1, is counted. The coin is then tossed Ni more times, and the number of heads, N2, is counted. Find the expected total number of heads, E[Ni + N2], generated by this process. The answer should depend on n and p only.
Answer:
The answer is "np(1+p)".
Step-by-step explanation:
[tex]N_1[/tex] = Number of n tossed heads
According to [tex]N_1[/tex], Y = amount of [tex]N_1[/tex] tossing heads
So, [tex]N_1[/tex]~ Bin(n, p) and [tex]N_2[/tex] | [tex]N_1[/tex] ~ Bin([tex]N_1[/tex], p)
[tex]E(N_1+N_2) & = E\Big[N_1+N_2\vert N_1\Big]\\ &[/tex]
[tex]= E(N_1)+E\Big[N_2\vert N_1\Big]\\\\ & = E(N_1) + E(N_1\,p)\\\\ & = np + np.p \\\\ =np+np^2\\\\ =np(1+p)[/tex]
What agreement did Britain and the United States make in the Treaty of 1818?
joint control of the Oregon Country for ten years
joint control of West Florida for ten years
O joint control of fishing rights off Canada for ten years
O joint control of Latin America
Answer:
A
Step-by-step explanation:
Unit Test on a Edge today. ; )
Answer:
its A
Step-by-step explanation:
i got a 100 on my quiz
16.9 and 1.7 and 0.17 and 2.0 round to nearest tenth
Answer:
21
Step-by-step explanation:
I believe this because when you add it all together you get 20.77
The county fair is a popular field trip destination. This year the senior class at High School A and the
senior class at High School B both planned trips there. The senior class at High School A rented and
filled 9 vans and 10 buses with 659 students. High School B rented and filled 8 vans and 8 buses with
536 students. Every van had the same number of students in it as did the buses.
Find the number of students in each van and in each bus.
Van 12. Bus: 52
Van: 16, Bus: 75
Van 7. Bus:41
Van: 11. Bus: 56
Answer:
35
Step-by-step explanation:
subtracting 1 to the product of 5 and x gives the same value as adding 10 to the product of 3 and x. what value of x makes the statement true ?
Answer:17
Step-by-step explanation: You just follow the steps.
Anna is x years old and her sister, Jane is y years younger
What was the sum of their ages two years ago?
What will be the sum of their ages in 3 years?
How old was anna when Jane was born?
Answer:
Age of Anna = x years
Age of Jane i.e. Anna's sister = (x-y) years
a, What was the sum of their ages two years ago?
Solution,
Age of Anna two years ago = (x-2) years
Age of Jane two years ago = (x-y-2) years
Sum of their ages = x - 2 + x-y-2 = 2x - y -4
b. What will be the sum of their ages in 3 years?
Solution,
We have,
Present age of Anna = x years
Present age of Jane = (x-y) years
So,
Age of Anna after 3 years = (x+3) years
Age of Jane after 3 years = (x-y+3) years
Therefore,
Sum of their ages in 3 years = (x+3) +(x-y+3) = 2x - y+6
c. How old was Anna when Jane was born?
Solution,
Here,
According to question,
Jane is y years younger than Anna
So, Anna was y years when Jane was born.
[Suppose your age is 10 years and your brothers age is 14 years. You are 4 years younger than your brother. Also, his age was 4 years when you were born.]
A local Little league has a total of 60 players, 80% of whom are right-handed. How many right-handed players are there?
(Please answer step by step.)
Answer:
48 right-handed players
Step-by-step explanation:
first, make an equation
[tex]\frac{80}{100} =\frac{x}{60}[/tex]
then, cross multiply and the new equation is
[tex]100x=4800[/tex]
finally, divide by 100 on both sides to isolate the x and you get
x=48
You find a shirt that costs 24.67 for some clothes. To get ready for Black Friday there was a discount, and the discount was 32%. How much does it cost?
Made up question :D !!!
Answer:16.78
Step-by-step explanation:
2.6x0.47pls help
pls pls
Answer:
1.222
Step-by-step explanation:
Solve the quadratic equation numerically (using tables of x- and y- values). x(x + 3) = 0 a. x = -1 or x = 3 c. x = 0 or x = -3 b. x = 0 or x = -5 d. x =1 or x = -1
Answer:
Step-by-step explanation:
x = 0
x+3 = 0
x = -3
The answer is x could be 0 or -3
Answer:
c on edge
Step-by-step explanation:
a. Identify at least three cases in your daily life/work where the analytics could be applied.
b. Choose one of the cases and describe how you will approach the problem. For example, you can start from where/how you collect data, how to use the data, what kind of problem can be solved, and etc.
Explanation:
Remember, the term analytics (or data analytics) refers to the act of carefully examining raw data in other to observe if there are any trends.
a) The following are three cases in our daily life/work where analytics could be applied:
analyzing changes in cell phone charges based on call durationanalyzing changes in our sleeping pattern based on hours spent on electronic gadgetsanalyzing changes in train ticket sales based on the time of the day.b) For example, to analyze changes in my sleeping patterns based on hours spent on electronic gadgets, I need to first know
how many hours of sleep do I have every day in a particular period of time,how many hours have I spent on electronic gadgets daily for a period of time,Next, I need to answer based on the data; Is the amount of hours I sleep lower than expected? or Do I spend more time on electronic gadgets than sleep?In the figure, AB is a midsegment of XYZ, CD is a midsegment of XAB. and AY - BZ
Answer:
xyz is isosceses triangle
help plz idk okhehehehehe
How much will you need to invest each month to reach a savings goal of $200,000 at the end of 20 years, if you invest in an annuity that pays 3% interest, compounded monthly?
Round your answer to the nearest dollar.
Answer:
$609
Step-by-step explanation: