Answer:
Step-by-step explanation:
Because those 2 lines are parallel, then 2x + 10 and 2x - 30 are same side interior and are supplementary. Therefore,
2x + 10 + 2x - 30 = 180 and
4x - 20 = 180 and
4x = 200 so
x = 50
Answer:
x = 50
Step-by-step explanation:
Two Parallel lines and an transversal.
Given angles are co - interior angles and they are supplementary.
2x + 10 + 2x - 30 = 180
2x + 2x + 10 -30 = 180 {Combine like terms}
4x - 20 = 180
4x = 180 + 20 (Add 20 to both sides}
4x = 200 {Divide both sides by 4}
x = 200/4
x = 50
please help !!!!!!!!!!!plss
Answer:
4
Step-by-step explanation:
replace x with its value to get
8-2y+3y=12 then combine like terms
8+y=12 subtract 8 from both sides
y=4
Answer:
the answer is numbe 1 which is 0
Step by step explaination:
The Johnson family pays $19.75 at the game for 3 ice cream cones and 4 funnel cakes. The Duke family pays $35.25 at the same game for 5 ice cream cones and 8 funnel cakes. How much does a funnel cake cost? How much does an ice cream cone cost?
Answer:
$1.75 cost of the funnel cake and $4.25 cost of the ice cream cone.
Step-by-step explanation:
x = cost of the ice cone cone
y = cost of the funnel cake
3x + 4y = 19.75 multiply (-2) ⇔ -6x - 8y = -39.50
5x + 8y = 35.25 do not change ⇔ + 5x + 8y = 35.25
-x = -4.25
x = 4.25 cost of the ice cream cone
Substitute into the second equation x = 4.25 and solve for y
5(4.25) + 8y = 35.25
21.25 + 8y = 35.25
8y = 14
y = 1.75 cost of the funnel cake
A student earns $8 per hour plus a $15 bonus each weekend day worked. Last week, the student worked 1 weekend day and earned a total of $115 for h hours of work.
Answer:
12.5 hours
Step-by-step explanation:
[tex]115 - 15 = 100 \\ \frac{100}{8} = 12.5[/tex]
The student worked for 12.5 hours.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
A student earns $8 per hour plus a $15 bonus each weekend day worked.
Now, let the student works for h hours.
So, the earning would be= 15+ 8h
As, he earned $115
So, 15+ 8h= 115
8h = 100
h = 12.5 hours
Hence, the student worked for 12.5 hours.
Learn more about Algebra here:
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Please help find these values.
Answer:
3. x=14° y=7
4. x=29° y=3
Step-by-step explanation:
3. this is a 45 - 45- 90 triangle
so the side is a-a-a√2 ( two sides are the same)
4y-3=10+2y+1 -- collect like terms
4y-2y=10+1+3
2y=14
y=7
find the angle of the inside triangle
180-59-90 =
31°
we know the big triangle was a 45-45-90 angle
so x+31=45
x=45-31
x=14°
4. this is a square, all sides are same
5y+3y=24
8y=24
y=3
angle is 90°
x+x+9y+5=90
we know y=3 --substitute
x+x+9(3)+5=90
2x+27+5=90
2x=90-27-5
2x=58
x=58/2
x=29
is the sum of two rational numbers always rational
Answer:
in short, Yes they are always rational.
here's why...
E.g. suppose [tex]\frac{c}{d}[/tex] and [tex]\frac{a}{b}[/tex] are fractions, that means that a,b,c,d are all integers, and b and d are not zero. finding the sum the numerator, and denominator would also have to be integers. the denominator of the sum can't be zero since the denominators of the fractions were not zero, and would give [tex]\frac{ad+bc}{bd}[/tex] and since they are bound by addition (sum means addition) they must also be rational since eit would equal a bigger integer than initially had
Step-by-step explanation:
(-2,-4) reflected across the line y = -1
A square coffe shop has sides that are 7 meters long what is the coffe shops area
Answer:
49 square metres
Step-by-step explanation:
The area of a square is the length of the side times itself.
The area is 7 x 7 = 49
In Circle P, m EA=58, m BC=42, m CD=90, find:
1. m∠EDA
2. m∠BDC
3. m∠BEC
4. m arc AB
5. m∠AEB
6. m∠ECA
7. m∠BAC
8. m arc ED
9. m∠ECD
10. m∠ACB
11. m∠EBD
12. m∠ADB
13. m∠CAD
14. m∠EAB
15. m∠EBC
PLEASE HELP MU HUHU
Circle theorem states that the angle that an arc subtends at the center of a
circle is twice the angle subtended at the circumference.
The values are as follows;
m∠EDA = 90°m∠BDC = 21°m∠BEC = 21°[tex]m\widehat{AB}[/tex] = 80°m∠AEB = 40°m∠ECA = 29°m∠BAC = 21°[tex]m\widehat{ED}[/tex] = 90°m∠ECD = 45°m∠ACB = 40°m∠EBD = 45°m∠ADB = 40°m∠CAD = 45°m∠EAB = 90°m∠EBC = 90°Reasons:
[tex]\displaystyle 1. \ \mathbf{m\angle EDA} = \frac{1}{2} \cdot m\angle EPC[/tex] Angle subtended at center is twice angle at circumference.
m∠EPC = 180°
∴ m∠EDA = 0.5 × 180° = 90°
2. [tex]m\widehat{BC}[/tex] = 42°, therefore, m∠BPC = 42°
[tex]\displaystyle \ m\angle BDC= \frac{1}{2} \cdot m\angle BPC[/tex]
m∠BDC = 0.5 × 42° = 21°
3. m∠BEC = m∠BDC = 21°
4. [tex]m\widehat{AB}[/tex] = 180° - (58° + 42°) = 80°
5. [tex]\mathbf{m\widehat{AB}}[/tex] = m∠APB by definition
m∠AEB = 0.5 × m∠APB
m∠AEB = 0.5 × 80° = 40°
6. m∠ECA = 0.5 × m∠AE
Therefore;
m∠ECA = 0.5 × [tex]m\widehat{EA}[/tex]
m∠ECA = 0.5 × 58° = 29°
m∠ECA = 29°
7. m∠BAC = 0.5 × [tex]\mathbf{m\widehat{BC}}[/tex]
m∠BAC = 0.5 × 42° = 21°
m∠BAC = 21°
8. [tex]m\widehat{ED}[/tex] = 180° - [tex]\mathbf{m\widehat{CD}}[/tex]
[tex]m\widehat{ED}[/tex] = 180° - 90° = 90°
[tex]\mathbf{m\widehat{ED}}[/tex] = 90°
9. m∠ECD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]
m∠ECD = 0.5 × 90° = 45°
10. m∠ACB = 0.5 × [tex]m\widehat{AB}[/tex]
m∠ACB = 0.5 × 80° = 40°
11. m∠EBD = 0.5 × [tex]\mathbf{m\widehat{ED}}[/tex]
m∠EBD = 0.5 × 90° = 45°
12. m∠ADB = 0.5 × [tex]\mathbf{m\widehat{AB}}[/tex]
m∠ADB = 0.5 × 80° = 40°
13. m∠CAD = 0.5 × [tex]\mathbf{m\widehat{CD}}[/tex]
m∠CAD = 0.5 × 90° = 45°
14. m∠EAB = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]
m∠EAB = 0.5 × 180° = 90°
15. m∠EBC = 0.5 ×[tex]\mathbf{m\widehat{EABC}}[/tex]
m∠EBC = 0.5 × 180° = 90°
Learn more about circle theorems here:
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David got $130 for his birthday. He spent 20% of that on a pair of shorts. He wants to save ¼ of what he has left. How much does he want to save
Answer:
26
Step-by-step explanation:
130-20%=104
25% of 104 is=26
Please help.. I am stuck !
3 is what percent of 50
Answer:
6%
Step-by-step explanation:
3/50 x 100/1% = 3/2 x4/1% = 12/2%=6%
Pls I need help quickly!
Mindy owns 20 pairs of shoes and every week she purchases two more pairs. How long will it take for her closet to have 50 pairs of shoes?
The number of weeks that takes for her closet to have 50 pairs of shoes will be 15 weeks.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
Mindy claims 20 sets of shoes and consistently she buys two additional matches.
The first term is 20 and the common difference between the succession terms is 2. Then the equation is given as,
aₙ = a₁ + nd
aₙ = 20 + 2n
The number of weeks is given as,
50 = 20 + 2n
50 = 20 + 2n
50 = 20 + 2n
Simplify the equation, then we have
2n = 50 - 20
2n = 30
n = 30 / 2
n = 15
The number of weeks that takes for her closet to have 50 pairs of shoes will be 15 weeks.
More about the arithmetic sequence link is given below.
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someone please help me
Answer:
Area = 6cm^2
Step-by-step explanation:
Pythagorean Theorem = [tex]a^{2} + b^{2} = c^{2}[/tex]
[tex]a^{2} + 3^{2} = 5^{2}[/tex]
or
[tex]a^{2} + 9 = 25[/tex]
Subtract 9 from 25.
25 - 9 = 16
Square root 16 to get 4.
a = 4
Now to find the area.
Area = 1/2(3*4)
12/2 = 6
Using pennies, nickels, and dimes, how many
ways can you make 16 cents?
Answer:
16 pennies, one dime and 1 nickel and 1 penny, 3 nickels and 1 penny.
Step-by-step explanation:
Answer:
1 dime, 1 nickel, 1 penny
Step-by-step explanation:
1 dime= 10 cents
1 nickel= 5 cents
1 penny= 1 cent
Jessica's piggy bank has a total of $13.25 in dollar bills and quarters. If there are a total of 29 dollar
bills and quarters. Find out how many dollar bills and how many quarters are in the piggy bank.
Answer: $8 21 quarters
Step-by-step explanation:
20 quarters is $5 plus another is $5.25
8 dollars is $8 plus the $5.25 = $13.25
Have a nice day, and if you could be so kind as to give me a brainliest
Help me!!! due in 2 mins!!!
Simplify??!?!?????!!!! ;). Pleeeeaaaassseee
What is the answer to this?
Answer:
[tex]\frac{12}5[/tex]
Step-by-step explanation:
The easiest way to find the tangent is to calculate the ratio of opposite side over the adjacent, or [tex]\frac{12}5[/tex]
We know
[tex]\\ \sf{:}\Rrightarrow tan\Theta=\dfrac{Perpendicular}{Base}[/tex]
Now
[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{SU}{TU}[/tex]
[tex]\\ \sf{:}\Rrightarrow tanT=\dfrac{12}{5}[/tex]
PLS ANSWER
AND I WILL MARK AS BRAINLIST
Answer:
72
Step-by-step explanation:
Use PEMDAS to complete this equation properly. 3^2 = 9, 2^3 = 8. 9*8= 72..
Brainliest would be appreaciated! :-)
On Thursday, a local hamburger shop sold a combined total of 444 hamburgers and cheeseburgers. The number of cheeseburgers sold was three times the number of hamburgers sold. How many hamburgers were sold on Thursday?
Answer:
They sold 111 Hamburgers
Step-by-step explanation:
Turn this into an equation: first, take the amount of hamburgers and call it 3x due to it being 3 times more than the amount of cheeseburgers, which we will can call x.
So, X+3X=444 is what you need to solve this. This is the same as 4x=444
So, x=111
Now, Input 111 for the final answer; 333 cheeseburgers and 111 hamburgers
z/3 <= 3
solve for z
Answer:
assuming <= is less than or equal to
then z/3 is less than or equal to 3
z had to be less than 9
Are these lines parallel explain?
Aliya works as a bar tender in a very renowned restaurant. If he works for 12 days and earns $ 1296.84.How much does he earn per day.
Step-by-step explanation:
1296.84 / 12 = $108.07 earned per day
The value of √42 Is a rational or an irrational number.
Answer:
irrational
Step-by-step explanation:
Answer:
Irrational.
Step-by-step explanation:
When we simplify √42, we get:
6.48074069841 (Calculator Used)And 6.48074069841 is an irrational number.
Hoped this helped.
[tex]GeniusUser[/tex]
Please use the graph below and not some other graph. A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.
Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.
Answer:
see attached
Step-by-step explanation:
The graph starts at 5000 gallons on the vertical axis, and increases at the rate of 1250 gallons per hour, or 5000 gallons per 4 hours until 20,000 gallons is reached after 12 hours.
__
Additional comment
We don't have access to your segment tool, so you will have to copy the graph.
At a delicatessen there were 20 different kinds of cheese and 30 kinds of meats. What is the ratio of cheese to meats at this delicatessen?
Answer:
2:3
Step-by-step explanation:
Simply divide each by 10
20/10=2
30/10=3
and your ratio is 2:3
If y varies directly as x, and y = 12 when x = 72, then what is the value of x when y = 3 ?
18
2
1 half
1
6
Answer:
x = 18
Step-by-step explanation:
difference between y = 12, x=72 is 6
so if y = 3 then multiply 3×6 = 18
Answer:
18
Step-by-step explanation:
What is greater 7 or -7
Hello there!
7 is greater than -7, because positive numbers are always greater than negative ones.
a>-a
The > sign means "greater than"
Hope it helps.
~A lonely teen who helps others with a smile
-Grace :-)
Good luck.
Find
Area of triangle when base is 4cm and angles 60 and 70
Answer: Area = 6.64966
Step-by-step explanation:
A quantity with an initial value of 240 grows exponentially at a rate of 9.5% every 2 decades. What is the value of the quantity after 52 years, to the nearest hundredth?
Answer: 303.870087962229
Simplify ≈303.87
Step-by-step explanation:
Grows 9.5%→r=0.095 Divide by 100
Grows every 2 decades: exponent of t2
(where t is in decades)
Write a function:
f(t)=240(1+0.095) ^t/2 Percent change every 2 decades
52 years→52/10→5.2 decades There are 10 years in a decade
Plug in t=5.2
f(5.2)=240(1+0.095) 5.2/2
Answer: 303.870087962229
≈303.87
Round to the nearest hundredth
Hey y’all can u give me the correct answer pls.
Answer:
x > -7 (Hey man think before ask)
Step-by-step explanation:
It is so easy .....
Answer:
-6,-4,-2,3
Equation: x>−7
Step-by-step explanation:
Just ask.
Hope this helps.