Algebra KPL and LJPL are a linear pair, m_ KPL = 2x + 24, and mLJPL = 4x + 36. What are the measures of ZKPL and LJPL? (2x + 24) (4x + 36) к P
Answers
Answer:
64° = ∠KPL116° = ∠JPLStep-by-step explanation:
The sum of the measures of a linear pair of angles is 180°.
(2x+24) +(4x+36) = 180
6x = 120 . . . . . . subtract 60, collect terms
x = 20
(2(20) +24)° = 64° = ∠KPL
(4(20) +36)° = 116° = ∠JPL
Related Questions
Solve the formula F = 9/5C + 32 for C
for C____
Answers
Answer:
C = (5/9F) - (160/9)
Step-by-step explanation:
F = 9/5C + 32
F - 32 = 9/5 C
C = 5/9 (F-32)
C = (5/9F) - (160/9)
Answer:
the answer 5/9F - 160/9
please explain how to do this one as well ...
Answers
Answer:
x = 13
Step-by-step explanation:
Step 1: Define
f(x) = (x - 1)/2
f(x) = 6
Step 2: Substitute and solve for x
6 = (x - 1)/2
12 = x - 1
x = 13
What is the slope of a line perpendicular to the line whose equation is
6x – 15y = 270. Fully reduce your answer.
Answers
I NEED HELP ASAP PLEASEEEE
Evaluate the expression for f = 4.
Write your answer as a decimal or whole number.
5f=
-----
4
Answers
Answer:
5
Step-by-step explanation:
Plug in the value of f into the equation:
5(4) /4
Cancel out 4
=5
Answer:
5
Step-by-step explanation:
5(4)/4
20/4
5
1
Pizza often comes in slices that are of a pizza each. Maria buys 36 slices for a birthday
8
party she is throwing,
(a) Represent the total amount of pizza that (b) Write your answer from (a) as a mixed
Maria is buying as a fraction. Do not number in simplest form. What does this
simply
answer tell you?
Answers
Answer:
Step-by-step explanation:
the pizza come in slices that are 1/8 each.
there are 36 slices, which means [tex]\frac{36}{288}[/tex]. so the simplest form is 1/8 as well. Maria bought 4 pizzas
The total amount of pizza Maria bought as a fraction is [tex]\frac{36}{4}[/tex] and 8 [tex]\frac{1}{2}[/tex] as a mixed number
Total amount bought = fraction of a slice x total slices bought
[tex]\frac{1}{4}[/tex] x 36 = [tex]\frac{36}{4}[/tex]
The above expression is an improper fraction
An improper fraction is a fraction in which the numerator is greater in value than the denominator
36 is greater than 4
A mixed number is a number that is made up of a whole a whole number and a proper fraction.
To convert to an improper fraction to a mixed number:
Divide the numerator by the denominator. The whole number is written down The remainder is the numerator and the denominator in retained[tex]\frac{36}{4}[/tex] = 8[tex]\frac{2}{4}[/tex]
When it is simplified it becomes 8 [tex]\frac{1}{2}[/tex]
To learn more about mixed fractions, please check: https://brainly.com/question/17767863?referrer=searchResults
Yolanda is buying supplies for school. She buys n packages of pencils at 1.40 per package and m pads of paper at 1.20 each. What does the term in the expression 1.4n + 1.2m represent? What does the entire expression represent?
Answers
SOMEONE HELP ME WORTH 100 POINTS
Answers
Answer:
Blank 1: -40
Blank 2: 21
Step-by-step explanation:
[tex]-5\sqrt{14}\cdot \:4\sqrt{6}[/tex]
Break 14 up:
[tex]-5\sqrt{2\cdot \:7}\cdot \:4\sqrt{6}[/tex]
[tex]-5\sqrt{2}\sqrt{7}\cdot \:4\sqrt{6}[/tex]
Break 6 up:
[tex]-5\sqrt{2}\sqrt{7}\cdot 4\sqrt{2\cdot \:3}[/tex]
[tex]-5\sqrt{2}\sqrt{7}\cdot 4 \sqrt{2}\sqrt{3}[/tex]
We know that [tex]\sqrt{2}\sqrt{2}=2[/tex]
Thus,
[tex]-5\cdot \:4\cdot \:2\sqrt{7}\sqrt{3}[/tex]
Multiply:
[tex]-40\sqrt{7\cdot 3}[/tex]
[tex]-40\sqrt{21}[/tex]
Answer:
[tex]\Large \boxed{\sf [-40]\sqrt{[21]}}[/tex]
Step-by-step explanation:
Rearrange
[tex]\displaystyle -5 \times 4 \times \sqrt{6} \times \sqrt{14}[/tex]
Evaluate
[tex]\displaystyle -20 \times \sqrt{84}[/tex]
Simplify
[tex]\displaystyle -20 \times \sqrt{4 \times 21}[/tex]
[tex]\displaystyle -20 \times 2\sqrt{21}[/tex]
[tex]\displaystyle -40\sqrt{21}[/tex]
If you answer will make brainliest,
store sells bags of gold fish for $3.00, bags of animal crackers for $3.50, and bags of gummies for $4.00. One day, 15 bags of snacks were sold at $53 was earned for the sales. Two more bags of animal crackers were sold than goldfish. How many bags of each type of snack were sold?
Answers
Answer:
Gummies 5
6 animal crackers
4 gold fish
Step-by-step explanation:
Which step is the most efficient way to find the solution of x + 4 > -8? Answer choices: A: Add 4 to both sides. B: Subtract 4 from both sides and switch the inequality symbol. C: Substitute 1 for x and see if it works. D: Subtract 4 from both sides.
Answers
Answer:
d
Step-by-step explanation:
The most efficient step to finding the solution to the given inequality is, to subtract 4 from both sides. Option D is correct.
Given that,
To determine which step is the most efficient way to find the solution of x + 4 > -8.
Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
here,
Given inequality,
x + 4 > -8
Subtract 4 from both sides,
x + 4 - 4 > - 8 - 4
x > -12
Thus, the most efficient step to finding the solution to the given inequality is, to subtract 4 from both sides. Option D is correct.
Learn more about inequality here:
brainly.com/question/14098842
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I need help?! Please
Answers
Answer:
a=5
x=4
ax+3=23
5×4+3=23
Step-by-step explanation:
Help needed ASAP will give BRAINLIEST not a real test
Answers
You would do 12x30 for the 12 months in 30 years = 360 then you would do 643.33x360 and that’s your answer
Patrick counts on to solve 9+___= 16. Explain how he can do this. What is the missing addend?
Ik it I just wanna see if y’all do :)
Answers
Answer:
7
Step-by-step explanation:
9+7=16
Answer: 7
Step-by-step explanation: Sure you do
On average, Mary can drive to the supermarket in 10 minutes but, depending on traffic, the drive can vary from the average by 5 minutes.
Which absolute value equation can be used to calculate Mary's maximum and minimum drive times?
Let x represent the maximum and minimum time.
∣∣x−5∣∣=10
∣∣x+10∣∣=5
∣∣x+5∣∣=10
|x−10|=5
Answers
Answer:
|x−10|=5
The maximum and minimum time(x) gets subtracted by 10 resulting in the 5 minute time vary.
Answer:
its D. |x−10|=5 if you dont believe me heres proof
Step-by-step explanation:
Evaluate: the product of 4 and 7*
Answers
Answer:
28
Step-by-step explanation:
4 x 7 = 28
Hope this helps you :)
A certain sum amounts to $2200 in 2 years to $2800 in 4 years at simple interest. Find the sum and the rate per cent per annum.
Answers
Gavin was thinking of a number. Gavin adds 9 to it, then doubles it and gets an answer of 83.2. What was the original number?
Answers
Answer: it is 32.6
Step-by-step explanation:
The orginal number that Gavin was thinking of is 32.60.
What is the original number?
Let the orginal number be represented with y
Gavin adds 9 to the original number: 9 + y
The answer is doubled: 2(9 + y)
The answer is 83.2: 2(9+y) = 83.2
In order to determine the value of y, take the following steps:
Divide both sides of the equation by 2
9 + y = 41.60
Subtract 9 from both sides of the equation
y = 41.60 - 9
y = 32.60
To learn more about addition, please check: https://brainly.com/question/349488
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Mary has some trading cards.
Answers
Answer:
Step-by-step explanation:
36 divided by 3. I think.
Answer:
Divide 3 by 36 and simplify your answer
Step-by-step explanation:
Find the measures of all four angles if m∠2 − m∠1=30°
Answers
Answer:
m∠1 = m∠3 = 75°
m∠2 = m∠4 = 105°
Step-by-step explanation:
From the figure attached,
m∠1 + m∠2 = 180° [Supplementary angles]------(1)
Since, m∠2 - m∠1 = 30°
m∠2 = 30° + m∠1 -----(2)
By substituting the value of ∠2 from equation (2) to equation (1),
m∠1 + (m∠1 + 30°) = 180°
2(m∠1) + 30° = 180°
2(m∠1) = 150°
m∠1 = 75°
Therefore, m∠2 = 180°- m∠1 = 180° - 75°
m∠2 = 105°
Since, ∠ 2 ≅ ∠4 [Vertical angles]
m∠2 = m∠4 = 105°
Similarly, ∠1 ≅ ∠3 [Vertical angles]
m∠1 = m∠3 = 75°
[tex] \frac{ - 4}{5} + - 31 \times \frac{3}{5} [/tex]
help
Answers
Hey there!
ANSWER: [tex]\frac{-97}{5}[/tex]EXPLANATION:[tex]\frac{-4}{5}+-31*\frac{3}{5}[/tex]
Keep denominator same and add parenthesis to 3/5.
[tex]\frac{-4}{5}+-31*(\frac{3}{5})[/tex]
Here is your answer.
[tex]\frac{-97}{5} (ANSWER)[/tex]
Hope this helps!
[tex]\text {-TestedHyperr}[/tex]
1 USD is equal to 1.03069 Canadian dollars Mitchell travels from the US to Canada, where he exchanges 150 US dollars for Canadian dollars. He then spends 20 Canadian dollars, returns to the US, and exchanges the remaining money back to US dollars. How many US dollars does Mitchell have remaining?
Answers
Answer:
130$
Step-by-step explanation:
Answer:
Mitchell will have 130.66 USD remaining.
What is X?
Please help me
Answers
Answer:29° because the angle in between x and 105 is 54(alternate angles) in theory angles on a straight line add upto 180° so therefore x+105+54=180 thus x+159=180 as a result the remaining angle (x) would be 180-159=29° therefore x=29°
Which of the following statements is NOT true?
1. If the endpoints of a segment are (3,0) and (0,3) , the length of the segment is approximately 4.24 units.
2. If the endpoints of a segment are (3,3) and (5,-5), the length of the segment is approximately 4.24 units
3. The Pythagorean theorem can be used to find the length of a segment.
4. The distance formula can be used to find the length of a segment.
Answers
Answer
it think it is 2 and 4 if i am wrong i will edit my work
Step-by-step explanation:
what is the place value of 2 in the number 34277
Answers
Answer:
Hundreds
Step-by-step explanation:
Refer to the underlined numbers:
34277 - 7 is in the ones place
34277 - The second 7 is in the tens place
34277 - 2 is in the hundreds place
34277 - 4 is in the thousands place
34277 - 3 is in the ten thousands place
Answer:
hundreds
Step-by-step explanation:
2. Which does NOT round to 200
Answers
I WILL GAVE BRAINLIEST!!!!!!!!!!!!!!!!!!!
Answers
Answer:
31
Step-by-step explanation:
Recognize that all angles of a triangle add up to 180 degrees, so your equation would be x + 16 + x + 24 + 78 = 180.
Step 1: Combine like-terms.
2x + 118 = 180
Step 2: Subtract 118 from both sides to isolate the variable.
2x = 62
Step 3: Simplify
x = 31
What is the value of s in the equation 4(2s - 1) = 75 + 12?
Answers
Answer:
s=91/8
Step-by-step explanation:
4(2s-1)=75+128s-4=878s=91s=91/8Answer: s=91/8
Step-by-step explanation:
To find the value of s, you want ot use your algebraic properties to isolate s.
4(2s - 1) = 75 + 12 [distribute by FOIL]
8s-4=75+12 [add]
8s-4=87 [add both sides by 4]
8s=91 [divide both sides by 8]
s=91/8
Molly and James tracked the average temperature in their city for the past 8 days. They recorded their temperature findings in this list. 74°F , 79°F , 76°F, 85°F, 87°F, 83°F, 86°F, 78°F What is the mean absolute deviation of this data set?
Answers
Answer:
Mean = 81°F.
S. dev. = 5°F.
Step-by-step explanation:
When we have a set of data:
{x₁, x₂, ..., xₙ}
The mean can be calculated as:
M = (x₁ + x₂ ... + xₙ)/N
Where N is the number of data points that we have:
in this case the set is:
{ 74°F , 79°F , 76°F, 85°F, 87°F, 83°F, 86°F, 78°F }
So N = 8.
Then the mean is:
M = ( 74°F + 79°F + 76°F + 85°F + 87°F + 83°F + 86°F + 78°F )/8
M = 81°F.
Now, the standard deviation can be calculated as.
Sd = √ ( (1/N)*∑(xₐ - M)^2)
where the summation is over xₐ, which represents a summation over all the points in the data set.
Then we can write the standard deviation as:
Sd = √(1/8)*√( (74°F - 81°F)^2 + (79°F - 81°F)^2 + (76°F - 81°F)^2 + (85°F - 81°F)^2 + (87°F - 81°F)^2 + (83°F - 81°F)^2 + (86°F - 81°F)^2 + (78°F - 81°F)^2)
Sd = 4.58°F.
That we should round up to 5°F (because our mean has no digits after the decimal point)
The horizontal stretch by a factor of 2 and a translation 2 units up
Answers
Answer:
2 _ 3x. 14. f(x) = 4x2 + 5; horizontal stretch by a factor of 2 and a translation 2 units up, followed by a reflection in the x-axis. 0 Replace X X 3 35+2 3 -(x+7).
Step-by-step explanation:
M is the midpoint of LN. If LM = 3x - 7, and MN = x - 3, find x
Answers
Answer:
x = 2.5 or 5/2
Step-by-step explanation:
If M is the midpoint it separates the line segment into 2 equal parts so....
3x - 7 = x - 3 ----> + 3 on each side ----> 3x -5 = x ---> - 3x on each side ---> -5 = -2x ----> divide by -2 on each side to get. 2.5
The perimeter of the triangle is 13 inches. What is the length of the shortest side?
Answers
Answer:
x/2 inches
Step-by-step explanation: