Answers
Answer:
M∠DEC equals 123º.
Step-by-step explanation:
The sum of a triangle's three angles always equal 180º. The exterior angle, x, equals the two non-adjacent interior angles.
180 - {(x - 45)+(x - 12)} = m∠DEC
m∠DEC + x = 180
(x - 45) + (x - 12) = x
Solving for x:
(x - 45) + (x - 12) = x
x - 45 + x - 12 = x Remove parenthesis
2x - 57 = x Combine like terms
2x = x + 57 Add 57 to both sides
x = 57 Subtract x from both sides
Finding m∠D:
x - 45 = ?
57 - 45 = 12º
Finding m∠C:
x - 12 = ?
57 - 12 = 45º
** (Checking x: 12 + 45 = 57) **
Finding m∠DEC:
AC is a straight line, and because straight lines are equivalent to 180º, we subtract 57 from 180:
180 - 57 = 123º
Hope this helps,
❤A.W.E.S.W.A.N.❤
Related Questions
Help me please with question 4 b
Answers
Answer:
see explanation
Step-by-step explanation:
The second term of sequence P is 2a + b
The third term of sequence Q is 3b + a
Equating gives
2a + b = 3b + a ( subtract a from both sides )
a + b = 3b ( subtract b from both sides )
a = 2b ← as required
Good evening ,
Step-by-step explanation:
4 (b)
The 2nd term of sequence P is 2a+b
The 3rd term of sequence Q is 3b+a
2a+b=3b+a ⇌ (2a-a) = (3b-b) ⇌ a=2b.
:)
Complete this statement:
45x^3a + 27xa^2= 9xa
Enter the correct answer.
0000
DO
Clear all
DOO
Answers
Answer:
[tex]45x^3a+27xa^2= 9xa(5x^2+3a)[/tex]
Step-by-step explanation:
Given:
[tex]45x^3a+27xa^2= 9xa[/tex]
We need to complete this Statement.
By Solving the above equation we get;
We will take some common factor out so we will get;
[tex]45x^3a+27xa^2= 9xa(5x^2+3a)[/tex]
Hence the Complete statement is [tex]45x^3a+27xa^2= 9xa(5x^2+3a)[/tex]
A drawer contains 60 coins consisting of dimes and quarters. If the total value of the coins is $12.30, how many dimes and how many quarters are in the drawer?
Answers
Answer:
my mistake sorry
Step-by-step explanation:
Five tenths in standard and expanded form
Answers
Answer:
Standard form: 5 x 10^-1
Expanded form: 0.5
Step-by-step explanation:
hope this helps
using the z table, find the critical value for a=0.024 in a left tailed test
Answers
Answer:
Critical value is -1.98.
Step-by-step explanation:
Given:
The value of alpha is, [tex]\alpha=0.024[/tex]
Now, in order to find the critical value, we need to subtract alpha from 1 and then look at the z-score table to find the respective 'z' value for the above result.
The probability of critical value is given as:
[tex]P(critical)=1-\alpha=1-0.024=0.976[/tex]
So, from the z-score table, the value of z-score for probability 0.976 is 1.98.
Now, in a left tailed test, we multiply the z value by negative 1 to arrive at the final answer. We do so because the area to the left of mean in a normal distribution curve is negative.
So, the z-score for critical value 0.024 in a left tailed test is -1.98.
The critical value for α = 0.024 in a left-tailed test is -1.98.
To find this value, we locate α = 0.024 in the z-table. The z-table is a table that shows the probability of obtaining a z-score less than or equal to a certain value.
The z-score is a measure of how many standard deviations a particular data point is away from the mean of the population.
Here is the critical value for α = 0.024 in a left-tailed test: -1.98
In this case, we are looking for the z-score that corresponds to a probability of 0.024. This z-score is -1.98. Therefore, if our test statistic is less than or equal to -1.98, we will reject the null hypothesis.
For more questions on critical value
https://brainly.com/question/31529419
#SPJ3
Which three comparisons are true?
1/2 = 2/4
6/8 = 1/4
3/6 = 2/4
2/4 = 4/6
4/8 = 2/4
Answers
Answer:
The answer is 4/8=2/4 because 4/8 simplifying is 2/4 or 1/2
The true fraction comparisons are 1/2 = 2/4 and 4/8 = 2/4. The other comparisons are false. Simplifying fractions helps determine their equality.
Comparing Fractions:
Let's determine which of the given fraction comparisons are true:
1/2 = 2/4: To check this, we can simplify 2/4. Dividing both the numerator and the denominator by 2, we get 1/2. Thus, 1/2 equals 2/4. This is a true statement.6/8 = 1/4: We simplify 6/8 by dividing both the numerator and the denominator by 2, which gives us 3/4. This does not equal 1/4. This is a false statement.3/6 = 2/4: Simplifying 3/6 by dividing both the numerator and the denominator by 3, we get 1/2. Simplifying 2/4 gives us 1/2 as well. Therefore, 3/6 equals 2/4. This is a true statement.2/4 = 4/6: Simplifying 2/4 to 1/2 and simplifying 4/6 to 2/3 shows that 2/4 does not equal 4/6. This is a false statement.4/8 = 2/4: Simplifying 4/8 by dividing both the numerator and the denominator by 4, we get 1/2. Simplifying 2/4 also gives us 1/2. Thus, 4/8 equals 2/4. This is a true statement.The three true comparisons are: 1/2 = 2/4, 3/6 = 2/4, 4/8 = 2/4, and none from the rest.
Find the y intersept of
y=logbase (b)(a-k) based on the constants b and k ?
Answers
Answer:
[tex](0, log_{b}(-k)), k < 0[/tex]
Step-by-step explanation:
[tex]y = \log_{b}(a - k)[/tex]
To find the y-intercept, set a = 0 and solve for y.
[tex]y = \log_{b}(0 - k)\\y = \log_{b}(-k)[/tex]
This equation is undefined for k ≥ 0.
There is a y-intercept only if k < 0. Only then can the argument of the log function be positive.
The y-intercept is at
[tex]\mathbf{(0, log_{b}(-k)), k < 0}[/tex]
For example, if b = 2 and k = -3, log₂(3) = 1.585
The intercept is at (0, 1.585).
solve the inequality and enter your solution as an inequality comparing the variable to the solution
-19>x-26
Answers
Answer:
x < 7
Step-by-step explanation:
We are given an equation of inequality and we have to solve the equation as an inequality.
The given equation is - 19 > x - 26
⇒ - 19 + 26 > x
⇒ 7 > x
⇒ x < 7 {Since, if a > b then we can write b < a, as they are equivalent}
Hence,the solution of the equation of the inequality is x < 7. (Answer)
The graphs below have the same shape. What is the equation of the blue graph?
Answers
Answer:
Option C. [tex]g(x)=(x+5)^{2}[/tex]
Step-by-step explanation:
we know that
The equation of the parent function f(x) (red graph) is
[tex]f(x)=x^{2}[/tex]
This is a vertical parabola open upward
The vertex is the point (0,0) (the origin)
The function g(x) (blue graph) is a vertical parabola open upward
The vertex is the point (-5,0)
The transformation of f(x) to g(x) has the following rule
f(x) -----> g(x)
(0,0) ----> (-5,0)
(x,y) ----> (x-5,y)
That means----> The transformation is a translation of 5 units at left
therefore
The equation of g(x) is
[tex]g(x)=(x+5)^{2}[/tex]
What is 8.4 x 10^12/4.2 x 10^6
Answers
Answer:
2 × [tex]10^{6}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]
Split the fraction into a product, that is
= [tex]\frac{8.4}{4.2}[/tex] × [tex]\frac{10^{12} }{10^{6} }[/tex]
= 2 × [tex]10^{(12-6)}[/tex]
= 2 × [tex]10^{6}[/tex]
There's 5 trees fill with apples. Alex wants 2 off each tree. How much apples do she have?
Answers
Answer:
10
Step-by-step explanation:
5 trees * 2 from each = 10 apples
Answer:
10
Step-by-step explanation:
5*2=10
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 0) and (0, 2). Everything to the right of the line is shaded. Which linear inequality is represented by the graph? y ≤ One-halfx + 2 y ≥ One-halfx + 2 y ≤ One-thirdx + 2 y ≥ One-thirdx + 2
Answers
Answer:
[tex]y\le\dfrac{1}{2}x+2[/tex]
Step-by-step explanation:
On a coordinate plane, a solid straight line has a positive slope and goes through (negative 4, 0) and (0, 2). This line has the equation
[tex]y-0=\dfrac{2-0}{0-(-4)}(x-(-4))\\ \\y=\dfrac{1}{2}(x+4)\\ \\y=\dfrac{1}{2}x+2[/tex]
The origin belongs to the shaded region, so its coordinates must satisfy the inequality. Since
[tex]\dfrac{1}{2}\cdot 0+2=2\ge 0,[/tex]
then the correct inequality is
[tex]y\le\dfrac{1}{2}x+2[/tex]
Answer:
A
y ≤ [tex]\frac{1}{2}[/tex]x + 2
Step-by-step explanation:
Amit built a sand castle that measured 600 centimeters by 600 centimeters, and dug a moat around it.
Afterward, he decided to change the castle size, making it 8 meters by 6 meters.
How much longer will the new moat be than the old one?
Answers
Answer:
4 meters longer.
Step-by-step explanation:
Amit built a sandcastle that measured 600 cm by 600 cm i.e. 6 meters by 6 meters.
Therefore, its perimeter is 2(6 + 6) = 24 meters
Now, afterward, he decided to change the castle size, making it 8 meters by 6 meters.
Therefore, its perimeter is 2(6 + 8) = 28 meters
Therefore, the perimeter of the new castle is increased by (28 - 24) = 4 meters.
If Amit dug a moat around his castle then the new moat will be 4 meters longer than the old one. (Answer)
As the moat is dug around the castle, its length will be the same as the perimeter of the castle.
Gabrielle has 3 gallons of paint. She uses 9 quarts to paint her bedroom. How much paint does she have left?
Answers
Answer:
3 quarts
Step-by-step explanation:
There are 4 quarts in a gallon
3×4=12
12-9= 3
Karen bought a coat for 20% more than the price she wanted to pay. If she paid $150, how much was she looking to pay?
The first one to get both correct will be brainiest!!!!!!!
Answers
120% = $150
divide both sides by 6
20% = $25
We want the regular price, so 100%.
multiply both sides by 5
100% = $125
Answer:125
Step-by-step explanation:
150/1.20
=125
Write in vertex form y=x^2+16x-71
Answers
Good evening ,
Answer:
x^2+16x-71 = (x+8)²-135
Step-by-step explanation:
x^2+16x-71 = (x+8)²-8²-71
= (x+8)²-(64+71)
= (x+8)²-135.
:)
❤❤Solve for the unknown by using the additive inverse. Type the FULL answer in the box, without using any spaces (ex., X=5).
–X + 4 = –2X – 6
Answer:
Answers
Explanation:
1.regroup terms:4−x=−2x−6
2.add 2x to both sides: 4−x+2x=−6
3. Simplify 4−x+2x to 4+x.:: 4+x=−6
4. Subtract 4 from both sides: x=−6−4
5. Simplify —6−4 to −10: x=−10
35 is 51% of what number?
Answers
Answer:
68.627
Step-by-step explanation:
51%=0.51
35/0.51=68.627
Answer:
68.627 is the answer!
Step-by-step explanation: I just took a test on it like 5 minutes ago!PLEASE MARK BRAINLIEST!!!! PLEASE!!! HAVE A NICE DAY!!!!
Simultaneous equations !
Who can help
Answers
The cost of glass is: £4
The cost of mug = £2
Step-by-step explanation:
Let g be the number of glasses and
m be the number of mugs
[tex]3g+3m = 18\ \ \ \ \ Eqn\ 1\\6g+4m=32\ \ \ \ \ Eqn\ 2[/tex]
Multiplying equation 1 by 2
[tex]6g+6m=36\ \ \ \ Eqn\ 3[/tex]
Subtracting Eqn 2 from Eqn 3
[tex]6g+6m - (6g+4m) = 36-32\\6g+6m-6g-4m=4\\2m=4[/tex]
Dividing both sides by 2
[tex]\frac{2m}{2} = \frac{4}{2}\\m = 2[/tex]
Putting m=2 in eqn 1
[tex]3g+3(2) = 18\\3g+6 = 18\\3g = 18-6\\3g = 12[/tex]
Dividing both sides by 3
[tex]\frac{3g}{3} = \frac{12}{3}\\g = 4[/tex]
Hence,
The cost of glass is: £4
The cost of mug = £2
Keywords: Linear Equation, simultaneous equations
Learn more about linear equation at:
brainly.com/question/2367554brainly.com/question/2670657#LearnwithBrainly
The equation S = -16t2 + 34t + 184 models the height of a ball that is thrown upward from the roof of a 184 foot building and falls to the street below. In this equation S is the height in feet of the ball above the ground and t is the time in seconds the ball has traveled. According to this model, how many seconds did it take the ball to reach a height of 91 feet? (round to 1 decimal place)
Answers
Answer:
t=1.6
Step-by-step explanation:
If the equation [tex]S=-16t^2+34t+184[/tex] models the height of a ball above the ground, where t is time the ball travelled.If the height of the ball above the ground is S=91 instead of 184, then the time the ball should take to get to the ground comes from the expression above: [tex]S=-16t^2+34t+91[/tex] (because now we want to know how much time does it takes to reach the ground if it is thrown from 91 foot, not 184). Then, to know when the ball reaches the floor, we must equal the equation to zero [tex]-16t^2+34t+91=0[/tex] (because when the equation is zero, the height of the ball is zero, which means it is in the ground).To obtain the value of t in the expression [tex]-16t^2+34t+91=0[/tex] , we can apply the well known formula [tex]t=\frac{-b(+-)\sqrt{b^2-4ac} }{2a}[/tex], where a is the coefficient that accompanies the quadratic term (in this case a=16), b is the coefficient that accompanies the linear term (b=34 in this case), and c is the constant coefficient (c=91).Because time is always possitive, we only retain the possitive value for t that solves the equation:[tex]\frac{-34(+-)\sqrt{34^2-4\times(-16)\times93} }{2\times16}[/tex]. [tex]t=1.55\simeq1.6[/tex]What is the value of the expression if m=3 and n=2?
2(m3) + (6-n)n
Be sure to explain all of the steps you used in solving this problem.
Answers
Step-by-step explanation:
So fill it in
2(3 times 3)+(6-2)2
so
2(9)+(4)2
then
18+8=26
Answer: 26
hope that is right
Answer:
First plug in for m and n
2(3)(3) +(6-2)(2)
Next solve
18 + 8
Answer= 10
Step-by-step explanation:
Benjamin drove a distance of 301.5 miles in
4.5 h. If Benjamin drove at a constant rate, how
many miles per h did he drive?
Answers
Answer: 67 miles per hour
Step-by-step explanation: [tex]v = \frac{s}{t}[/tex] where v is velocity, s is space and t is time;
[tex]\frac{301.5 miles}{4.5 h}[/tex] = 67
What is the product?
(negative 3 s + 2 t)(4 s minus t)
negative 12 s squared minus 2 t squared
negative 12 s squared + 2 t squared
negative 12 s squared + 8 s t minus 2 t squared
negative 12 s squared + 11 s t minus 2 t squared
Answers
Answer:
(d) negative 12 s squared + 11 s t minus 2 t squared is the PRODUCT.
Step-by-step explanation:
Here, the given expression is:
(negative 3 s + 2 t)(4 s minus t) = (- 3s + 2t) (4s - t)
Now, by DISTRIBUTIVE PROPERTY:
A(B-C) = AB - AC
Simplifying the given expression ,we get:
[tex](- 3s + 2t) (4s - t) = -3s(4s-t) + 2t(4s -t)\\= -3s(4s) -3s(-t) + 2t(4s) + 2t(-t) = -12s^2 + 3st + 8 st - 2t^2\\= -12s^2 + 11st - 2t^2\\\implies (- 3s + 2t) (4s - t) = -12s^2 + 11st - 2t^2[/tex]
Now, the resultant expression can also be written as
[tex]-12s^2 + 11st - 2t^2[/tex] = negative 12 s squared + 11 s t minus 2 t squared.
Hence, the option (4) is the correct option.
Answer:
option 4 is the answer
Step-by-step explanation:
find the slope and the y-intercept of y=9x-2
Answers
Answer:
The Slope is 9 and the y-intercept is -2
Step-by-step explanation:
Answer: slope=9
Y-intercept=-2
Step-by-step explanation:
Use y=mx+b where m equals slope and b equals y-intercept
In 12 weeks Jim earns $4500 Doing yardwork he earns the same amount each week let M stand for the amount and each week how much does Jim make in one week
Answers
Answer:
375
Step-by-step explanation:
Jim earns a total of $4500 over 12 weeks. To find out how much he makes weekly, divide the total earnings by the number of weeks, which is $4500 divided by 12, resulting in Jim earning $375 per week.
To calculate how much Jim makes in one week, we can divide his total earnings over the 12-week period by the number of weeks. Jim earns a total of $4500 over 12 weeks, so we can use the following equation where M stands for the amount Jim earns each week:
M = Total Earnings÷ Number of Weeks
M = $4500÷ 12
By performing the division, we find that Jim earns $375 per week. This is done by dividing 4500 by 12:
M = $375
Therefore, Jim makes $375 each week doing yardwork.
At a music festival, T-shirts are sold for $15 and sweatshirts are sold for $20. The festival organizers pay x dollars for each T-shirt and y dollars for each sweatshirt. The festival sells 53 T-shirts and 39 sweatshirts.
Write and simplify an expression that represents the profit.
Answers
Answer:
38.0
Step-by-step explanation:
you have to you's the part and whole number ≤Answer:
53(15) + 39(20) = x
795 + 780
=1,575
Step-by-step explanation:
there are 53 t-shirts 15$ each. Then 39 sweatshirts each 20$. so 53*15 + 39*20 will be your final solution.
A textbook costs $65.49 before tax. The tax on the textbook is 6.5%.
What is the total cost of the textbook?
Round your answer to the nearest cent.
Enter your answer in the box.
Answers
Answer:
$69.75
Step-by-step explanation:
Given: Cost of textbook before tax=$65.49
The tax on the textbook = 6.5%
The tax amount = 6.5% of $65.49
=\frac{65}{1000}\times65.49=4.25685\approx4.26
⇒The tax amount = $4.26
The total cost of the textbook=Cost of textbook before tax+tax amount
=$65.49+$4.26
=$69.75
The total cost of the textbook is $69.75.
Credit goes to @JeanaShupp
Answer:
Answer is69.75
Step-by-step explanation:
plz help me plz I will mark brainlest for the person who answer first
Answers
Answer:
[tex] \frac{16}{20} [/tex]
Step-by-step explanation:
he sold 16 and he was supposed to sell 20. therefore it's 16/20. not relevant, but he sold 80% of the tickets
Answer:
I don't know why but I personally think its 1/4 I'm probably wrong but I'm trying my best well I hope dis helps and stay safe :3
Three fifths of the members of a hiking club went
on the last hiking trip. It 39 people went on the
trip, how many are in the club?
Answers
There are 65 people in the club.
Step-by-step explanation:
Given,
Fraction of people went on hiking = [tex]\frac{3}{5}[/tex]
No. of people went on hiking = 39
Let,
x be the number of people at club.
According to given statement;
[tex]\frac{3}{5}\ of\ x = 39\\\\\frac{3}{5}x=39\\0.6x=39\\[/tex]
Dividing both sides by 0.6
[tex]\frac{0.6x}{0.6}=\frac{39}{0.6}\\x=65[/tex]
There are 65 people in the club.
Keywords: fractions, division
Learn more about fractions at:
brainly.com/question/1234767brainly.com/question/1238144#LearnwithBrainly
over what interval will the immediate value theorem apply
Answers
Answer:
Any [a,b] that does NOT include the x-value 3 in it.
Either an [a,b] entirely to the left of 3, or
an [a,b] entirely to the right of 3
Step-by-step explanation:
The intermediate value theorem requires for the function for which the intermediate value is calculated, to be continuous in a closed interval [a,b]. Therefore, for the graph of the function shown in your problem, the intermediate value theorem will apply as long as the interval [a,b] does NOT contain "3", which is the x-value where the function shows a discontinuity.
Then any [a,b] entirely to the left of 3 (that is any [a,b] where b < 3; or on the other hand any [a,b] completely to the right of 3 (that is any [a,b} where a > 3, will be fine for the intermediate value theorem to apply.