Answer:
Step-by-step explanation:
[tex]2x - 10^o + 2x + 30^o + x + 10^o + 50^o = 180^o \\\ 5x + 80^o = 180^o \\\ 5x = 180^o - 80^o \\\ 5x = 100^o \\\ x = \frac{100^o}{5} \\\\ x = 20°[/tex]
I hope I've helped you.
Explanation:-
From the given figure :
∠AOB = 50°
∠BOC = x+10°
∠COD = 2x+30°
∠DOE = 2x-10°
We know that
The sum of the angles lie on the same line = 180°
⇛ ∠AOB + ∠BOC + ∠COD + ∠DOE = 180°
⇛ 50°+x+10°+2x+30°+2x-10° = 180°
⇛ 5x+80° = 180°
⇛ 5x = 180°-80°
⇛ 5x = 100°
⇛ x = 100°/5
⇛ x = 20°
∴ x = 20°
Now,
The measure of ∠BOC = x+10°
= 20°+10°
= 30°
The measure of ∠COD = 2x+30°
= 2(20°)+30°
= 40°+30°
= 70°
The measure of ∠DOE = 2x-10°
=2(20°)-10°
= 40°-10°
= 30°
Answer:-
The measure of ∠BOC = 30°
The measure of ∠COD = 70°
The measure of ∠DOE = 30°
Remember:-The sum of the angles lie on the same line is 180°
4 plums and 7 bananas
Give 3 points that all lie on a line with a slope of 4. Explain your process.
Answer:
Step-by-step explanation:
The simplest line you can draw with a slope of 4 is y = 4x. Use The equation to make a table
y = 4x
x 1 3 5
y 4 12 20
So I just multiplied 4 by 3 and 5 red graph below shows the three points on the line. (1,4),(3,12),(5,20)
What about a more complex line.
y = 4x + 5
x 1 3 5
y 9 17 25
The green line show (1,9),(3,17),(5,25)
the sum of the reversed number and the original number is 154, find the original number, if the ones digit in it is 2 less than the tens digit
==========================================================
Explanation:
For the original two digit number, we have:
x = tens digity = units digit (aka ones digit)The original number is 10x+y. For instance, if x = 5 and y = 7, then we have 10x+y = 10*5+7 = 57.
This original number 10x+y swaps its digits to 10y+x. Then we add up the two expressions:
(original)+(swapped) = (10x+y)+(10y+x) = 11x+11y = 11(x+y)
This sum is stated to be 154
11(x+y) = 154
x+y = 154/11
x+y = 14
Then we're told that "the ones digit in it (the original number) is 2 less than the tens digit". Meaning that y = x-2 is another equation we can use. We'll plug this into the previous equation we found and solve for x
x+y = 14
x+x-2 = 14 ... replace y with x-2
2x-2 = 14
2x = 14+2
2x = 16
x = 16/2
x = 8 is the tens digit of the original number
y = x-2
y = 8-2
y = 6 is the units digit of the original number
The original number is 10x+y = 10*8+6 = 86
As a check, adding 86+68 = 154 which confirms our answer.
what is the slope intercept form
Answer:
[tex]y = \frac{4}{3} x - 4[/tex]
Hope it helped:)
Tìm giá trị của Lim (đề bài trong ảnh)
First, rewrite
[tex]\dfrac{x^2+5x+4}{x^2-3x+7} = \dfrac{(x^2-3x+7)+(8x-3)}{x^2-3x+7} = 1 + \dfrac{8x-3}{x^2-3x+7}[/tex]
Next, we have
[tex]\dfrac{x^2-3x+7}{8x-3} = \dfrac x8 - \dfrac{21}{64} + \dfrac{385}{512x-192}[/tex]
so we can further rewrite
[tex]\dfrac{x^2+5x+4}{x^2-3x+7} = 1 + \dfrac1{\frac x8 - \frac{21}{64} + \frac{385}{512x-192}}[/tex]
The idea behind all this is to get the limand into a form resembling the limit definition of the constant e, which is
[tex]\displaystyle e = \lim_{x\to\infty} \left(1+\frac1x\right)^x[/tex]
The next step is to make the substitution,
[tex]y = \dfrac x8 - \dfrac{21}{64} + \dfrac{385}{512x-192}[/tex]
Solving for x gives two solutions,
[tex]x = \dfrac{8y+3\pm\sqrt{64y^2+36y-19}}2[/tex]
but we want to have y approaching infinity, just like in the definition for e, which is achieved only by the solution with the positive square root. (You can check for yourself that the other solution instead approaches 3/4.)
So, our limit is equivalent to
[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac{8y+3+\sqrt{64y^2+36y-19}}2}[/tex]
[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac{8y+3+8y\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}}2}[/tex]
[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{4y\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right)+\frac32}[/tex]
[tex]\displaystyle \lim_{y\to\infty} \left(\left(1+\frac1y\right)^y\right)^{4\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right)+\frac32}[/tex]
[tex]\displaystyle \lim_{y\to\infty} \left(\left(1+\frac1y\right)^y\right)^{4\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right)} \cdot \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac32}[/tex]
Next, we use the fact that
[tex]\displaystyle \lim_{x\to\infty} f(x)^{g(x)} = \left( \lim_{x\to\infty}f(x)\right)^{\lim\limits_{x\to\infty}g(x)}[/tex]
Now, the "base" limit is e, while the "exponent" limit is
[tex]\displaystyle \lim_{y\to\infty} 4\left(1+\sqrt{1+\frac{36}{64y}-\frac{19}{64y^2}}\right) = 4(1+\sqrt{1+0+0}) = 8[/tex]
and the remaining limit is simply
[tex]\displaystyle \lim_{y\to\infty} \left(1+\frac1y\right)^{\frac32} = (1+0)^{\frac32} = 1[/tex]
So, we end up with
[tex]\displaystyle \lim_{x\to\infty} \left(\frac{x^2+5x+4}{x^2-3x+7}\right)^x = e^8 \cdot 1 = \boxed{e^8}[/tex]
Austin has ridden 49 miles of a bike course. The course is 70 miles long. What percentage of the course has Austin ridden so far?
Answer:
70%
Step-by-step explanation:
49/70 = 0.7
0.7*100 = 70
PLEASE HELP WITH ALL
Answer:
For 9., the answer is x = -6
For 10., the answer is x = 6
For 11., the answer is x = -7
For 12., the answer is x = -6
How do you know if a table of values shows a function?
A public parking garge charge $6,plus an additional $2per hour show me the
graph the line
Answer:
Step-by-step explanation:
y=6+2x
where x is number of hours.
Ms. Henderson's plant is 6 1/3 inches tall. It is 1 5/6 inches taller than Megan's plant.
How tall is Megan's plant?
Enter your answer as a simplified mixed number by filling in the boxes.
Answer:
4 1/2 inches
Step-by-step explanation:
Hi! I hope this helps!:
Since Ms. Henderson's plant is 6 1/3, all we need to do is subtract 1 5/6 from it! We do this because it says, "1 5/6 inches taller than Megan's plant".
For the next steps, you can change the mixed numbers into decimals or into improper fractions! 6 1/3 would be 19/3. 1 5/6 would be 11/6. You can find a common denominator for both. I would make 19/3 to 38/6.
Lastly, you need to subtract and make it into simplest form! 38/6 - 11/6 = 27/6.
You could simplify it to 9/3, 4.5, or 4 1/2 inches.
Answer:
The is 4 1/2. just like
ChocoWaffoALT said.
What is the value of the expression 1/7 divided by five
Answer:
1/35
Step-by-step explanation:
plz mark brainllest
Answer:
1/7 divided by 5 =
1/35
in decimal form, its:
0.0285714...
Kevin’s car can go 315 miles on one tank of gas. He used just under 40% of a full tank of gas to get him to a sporting event Traveling at an average speed of 60 miles per hour about how long did it take him to get there how did you decide
Answer:
2 hours 6 minutes
Step-by-step explanation:
40% of 315 is 126 [miles]
126 miles = 126 minutes, since he went at 60 miles per hour [one mile per minute]
126 minutes = 2 hours 6 minutes
So, 2 hours 6 minutes, or 126 minutes.
The graph shows the number of minutes you and your brother spend training your dogs for an upcoming competition. You spend___more minutes trading your dog each day than your brother.
Answer:
It is 15 but I don't know what the steps are since I took a test on this question and failed to get the right answer.
If I have 4 types of wood and 5 types of other materials, what is most likely.
Answer:
Well I'm not sure what your answer choices are but based on the question I can tell you this:
If you have 4 wood and 5 other materials then you have 9 total materials.
So if you have 4 wood then you have a 4/9 chance of choosing wood.
And you have a 5/9 chance of choosing another material
So based on that, you would be more likely to choose another material, that is not wood.
pls help i will give brainlinest (please explain how to do)
Hello! The missing number is -1.
Notice that we add 1 every time:
-3+1=-2
-2+1=-1
-1+1=0
Therefore, the missing number is -1.Hope this helps!
~Just a felicitous girlie
#HaveAnAwesomeDay
[tex]SilentNature :)[/tex]
Can someone please help with this?
Answer:
I was learning that to but it is way to blurred out and I can not see the text.
You need to make a clear picture if you need answers or no one can help you because we don't know what it say's.
Step-by-step explanation:
please help, this is an algebra 2 question :) I attached the problem in a photo - simplify the following expression
Answer:
[tex]\frac{x^2+19x-56}{4x^2-32x}[/tex]
Step-by-step explanation:
To add two fractions we need a common denominator. Just by looking at the two, there are no common factors. This means the denominator would be the product of the two: 4x(x-8). In order to obtain this, we multiply the first fraction by (x-8)/(x-8) - 1, and the second by 4x/4x - 1:
[tex]\frac{x+7}{4x} *\frac{x-8}{x-8} +\frac{5}{x-8}*\frac{4x}{4x}[/tex]
We can use the distributive property to simplify:
[tex]\frac{x^2-x-56}{4x(x-8)} +\frac{20x}{4x(x-8)}[/tex]
The sum of the two is:
[tex]\frac{x^2+19x-56}{4x^2-32x}[/tex]
Write the product using exponents.
(-0.9)×(-0.9)×(-0.9)
Answer:
-0.9³
Step-by-step explanation:
that's the answer hope it helps
Answer:
(-0.9)×(-0.9)×(-0.9)
(-0.9)^3
PLEASE HELP clear up my confusion! Carrie took out a $12,000 personal loan to pay off her credit cards. She will not make a payment for 2 years and there is a 5% interest rate. How much will be owed in 2 years with monthly compounding?
I know this is relatively simple but the variable that she doesn't pay for 2 years is confusing me on how to set up the problem.
Answer:
$13,259.30
Step-by-step explanation:
The account balance with compound interest is ...
A = P(1 +r/n)^(nt)
A = $12,000(1 +0.05/12)^(12·2) ≈ $13,259.30 . . . . will be owed in 2 years
__
It's a straight compound interest problem. "No payments for 2 years" means the account continues to accrue compounded interest. It's basically a future-value problem, as opposed to an amortization or annuity problem where payments are involved.
Nikki descended 20.4 meters from the ocean surface. She then ascended 13.6 meters.
How far from the ocean surface was she?
Here are three different recipes for cookies.
Recipe 1: Mix 2 cups of chocolate chips with 6 cups of cookie batter.
Recipe 2: Mix 3 cups of chocolate chips with 7 cups of cookie batter.
Recipe 3: Mix 4 cups of chocolate chips with 12 cups of cookie batter.
Which two cookie recipes will make the same cookies?
Answer:
Recipes 1 and 3 will make the same amount
How to solve f(x)-2x+1 find f(h+2)
Step-by-step explanation:
In pictures answered .
-1/15+-(3/5). How do you do this problem? Is it positive or negative?
Answer:
it's a negative answer Because there's one negative and one positive and if there are your two negatives that makes a positive and it's also the same with two positives
Using the graph as your guide, complete the following statement.
The discriminant of the function is _____ .
Answer:
positive
Step-by-step explanation:
the discriminant of the function is postive.
because from the graph we notice that it has 2 intercepts on x-axis, which means the function has 2 real solution when y=0
that implies the discriminant is positive.
[tex]\Delta = \sqrt{b^2-4ac}[/tex]
if [tex]\Delta > 0[/tex] we have 2 distinct real solution
if [tex]\Delta <0[/tex] we have no real solution but 2 complex solutions
if [tex]\Delta = 0[/tex] we have 2 identical real solution
(-5/6) + (-2 5/8) equals?
I’m not quite understanding this, it’s just not setting in my brain (I’m just now starting in this math class)
Anyone who can help me, thank you I appreciate you, a lot!
I need part a and b
The question has to be worked out and if anyone doesn’t care to explain it to me! :)
Answer:
Step-by-step explanation:
Let x be the number of hours worked
Let C = the charge made by the first company
Let c = the charge made by the second company
You want to know when the costs will be =.
Equations
C = 376 + 12x
c = 280 + 15x
Solution
Make the two right sides equal
376 + 12x = 280 + 15x Subtract 12x from both sides
376 = 280 + 15x - 12x Combine like terms on the right
376 = 280 + 3x Subtract 280 from both sides
376 - 280 = 3x Combine
96 = 3x Divide both sides by 3
32 = x
Each company would have to work 32 hours to get the same amount to be charged.
C = 376 + 12x
C = 376 + 12*32
C = 376 + 384
C = 760
The amount each would charge is 760
Jane watched her brother Peter build something that looked like stairs out of blocks. He put a block, then a tower of 2 blocks next to it, then a tower of 3 blocks… If he continues the pattern, how tall will the tallest tower be if there are 200 blocks in the kit?
Answer:
1,200
Step-by-step explanation:
3x2=6 and 6x200=1,200
possible answers: 3.456 x 10^3, 3.456 x 10^4, 3.456 x 10^5, 3.456 x 10^6
Answer:
last option is correct
............................
Slope from graph Khan Academy. PLEASE HELP ME!! IM HAVING SO MUCH TROUBLE
Answer:
Step-by-step explanation:
you first have to find two points that pass directly through the graph in this case we have (1,4) and (4,-4)
Now we use y2-y1 divided by x2-x1
in this case -4 - 4 (y2-y1) and 4 - 1 (x2-x1)
giving you -8 and 3
so try putting -8/3 as your answer this is what i would put sorry if it is incorrect
I like to have some leftovers.
I've discovered that the
proper ratio of turkey to
people is 12 pounds of turkey
for every'8 people. If 36
people are going to be
eating, how many pounds of
turkey do I need to buy?