Answer: x = 41
Step-by-step explanation:
4x - 68 = 2x + 14 [since alternate interior angles are equal]
4x - 2x = 14 + 68
2x = 82
x = 41
Answer:
x=41
Step-by-step explanation:
this problem can be solved using the alternate interior angles converse theorem, which states that if two coplanar lines are cut by a transversal so that a pair of alternate inerior angles are congruent, then the two lines are parallel.
4x-68=2x+14
2x-68=14 <- subtract 2x from both sides
2x=82 <- add 68 to both sides
x=41 <- divide both sides by 2
check:
4(41)-68=96
2(41)+14=96
A class contributed $19.00 in quarters and dimes to a local homeless shelter. In
all there were 100 coins. How many were there of each kind.
Answer: 60 quarters and 40 dimes
Step-by-step explanation:
Step 1: Setup Coin Value and Coin Total Equation:
Coin Value Equation → 0.1d + 0.25q = $19.00 where d = dimes and q = quarters
Coin Total Equation → d + q = 100
Step 2: Rearrange Coin Total Equation in terms of dimes (d)
d = 100 - q ← Revised Coin Total Equation
Step 3: Plug in our Revised Coin Total Equation for d into our Coin Value Equation:
0.1(100 - q) + 0.25q = $19.00
0.1(100) - 0.1(q) + 0.25q = $19.00
10 - 0.1q + 0.25q = $19.00
10 + (0.25 - 0.1)q = $19.00
10 + 0.15q = $19.00
Step 4: Subtract 10 from each side of the equation to isolate q
10 - 10 + 0.15q = $19.00 - 10
0.15q = 9
Step 5: Divide each side of the equation by 0.15 to isolate q
0.15q/0.15 = 9/0.15
q = 60
Step 6: Using our value for q, Solve for d using our Coin Total Equation:
d + 60 = 100
Subtracting 60 from both sides, we get d + 60 - 60 = 100 - 60
d = 40
Summarizing our word problem, we see that 60 quarters and 40 dimes add up to $19.00
Find the value of x.
PLS HELPPPPP Which expression is equivalent to 4−a−a−a?
Answer: " 4 − 3a " .
________
Step-by-step explanation:
" 4 − a − a − a " ;
= 4 − 1a − 1a − 1a " ;
= ? " ;
________
Combine the "like terms" :
________
→ " − 1a − 1a − 1a " ;
= (− 1a − 1a) − 1a ;
= ( − 2a) − 1a ;
= − 3a ;
________
Now, bring down the "4" ;
and rewrite the expression:
________
→ " 4 − 3a " ;
which cannot be simplified further.
________
The answer is: " 4 − 3a " .
________
Hope this is helpful!
Best wishes to you!
________
A park district is building an outdoor tennis court based on a scale drawing that measures 30 cm long by 13.75 cm and uses the scale 1 cm:0.8 m. What is the area of the actual tennis court in square meters?
The actual area of the tennis court is 264 m²
First use the scale to find the actual dimensions of the court:
1 cm : 0.8m
30 cm in the drawing would be:
= 0.8 x 30
= 24 m outside
13.75cm in the drawing would be:
= 0.8 x 13.75
= 11 m outside
Area of a rectangle (which is what the dimensions resemble):
= Length x width
= 24 x 11
= 264 m²
In conclusion, the area of the tennis court is 264 m²
Glenda wants to find out how often people in her town visit the cinema.
She collects data from 10 people standing in a queue outside a cinema.
Answer:
huh your questions make no sense there has to be more
Step-by-step explanation:
a circle’s radius is increased by 8%. Find the increase in the circle’s area.
Answer: The percentage increase in the area of the circle is 16.64 % when radius is increased by 8 %.
11 divided by 6/6
PLEASE HURRY THIS TEST
Answer: 1.666666667 or 1.6
Step-by-step explanation:
Examine the following table of points, which are all on a certain line.
x y
−2 4
0 2
1 1
3 −1
Answer: I don't see a question, but the equation of the line that these points form is y = -x + 2
Step-by-step explanation:
y=-x+2
The points have a negative 1 as their slope. The y-intercept (the value of y when x=0) is 2
y = -x+2
cho khối chóp có diện tích đáy B=3 và chiều cao h=4. Thể tích của khối chóp đã cho bằng
A.6
B.12
C.36
D.4
Answer:
D. 4
Step-by-step explanation:
[tex]V =\frac{1}{3}Bh=\frac{1}{3}.3.4=4[/tex]
what is the graph of the function rule?
y= 4x - 1
Answer:
join the two points
Step-by-step explanation:
(x,y) = (1,3)
(just by substituting the number into the equation to make it fit)
then, also draw a point at (0.-1)
Answer:
I hope this helps, and is what you are looking for.
good luck!
Use the graph of the quadratic function, g(x), to answer each question.
Answer:
it is -3 8 and 2
Step-by-step explanation:
Answer:
i think its -3 8 and 2 (maybe)
Step-by-step explanation:
i asked my friend
Can somebody help me please
Answer:
sdfgsdhvdert
fghjkkl
fghj
fghjk
gfgjuii
simplify -1 1/2 divided by 1 2/3
Answer:
-5/2
Step-by-step explanation:
Or -2.5
If you divide a negative by a positive it becomes a negative.
Hope this helps any!
-3x lessthan or equal to 3x +3 less than 2x+ 10
Answer:
x ≥ 0Hope this helped :)Equations that are functions can be written in a form called what?
Answer:
function notation.
Step-by-step explanation:
I was there with you i just happen to remember this one thing from my middle school
A pencil making machine took 1⁄10 of a second to make enough pencils to fill 1⁄9 of a box. At this rate, how long would it take the machine to fill the entire box?
Answer: 9/10 of a second
It is predicted that a softball team will win 35 out of their 50 games after 20 games they have won 16 what will be percent error
Answer:
Step-by-step explanation:
Plz help due tonight
Answer:
[tex]4x + 8 = 2x + 3 + 51 \\ 4x - 2x = 54 - 8 = 46 \\ 2x = 46 \\ x = 46 \div 2 = 23 \\ 2x + 3 = 2 \times 23 + 3 = 49 \\ 51 \\ 80[/tex]
enjoy it
A regular polygon has 20 sides
work out the sum of the interior angles of the polygon
work out the size of the interior angles
Step-by-step explanation:
The sum of the interior angles of a regular n-gon is given by the formula (n-2)180. Hence, in our case n=20 and we have the answer of 18(180)=3240 degrees.
Step-by-step explanation:
Course menu
Socratic Q&A logo
Search icon
What is the measure of an interior angle of a regular polygon with 20 sides?
Geometry Angles with Triangles and Polygons
1 Answer
mason m
Jan 2, 2016
162
˚
Explanation:
The sum of the interior angles in a regular polygon with
n
sides is found through the formula
180
˚
(
n
−
2
)
Here,
n
=
20
, so the sum of the interior angles is
180
˚
(
20
−
2
)
=
180
˚
(
18
)
=
3240
˚
To find just one angle, divide
3240
˚
by
20
since all
20
angles are congruent.
3240
˚
20
=
162
˚
WORTH 50 POINTS HELP ASAP WILL GIVE BRAINLIEST!
The price of a new pair of shoes is $52.00. If you order them directly from the company on the internet, you can save money and the price is only $42.64. What is the percent change?
18% decrease
22% decrease
18% increase
22% increase
18% decrease
Hope this helped you-have a good day bro cya)
Answer:
The percent change is an 18% decrease.
Step-by-step explanation:
the sum of the reciprocals of two consecutive integers is -11/30
how many miles of the road does the crew have left to pave after 11 days?
5. How does the number line below represent the product of a
positive number and a negative number? Explain.
Please Help The attachment is attached Below ⬇
Answer:
Sorry I can't give you a straight answer right now because I'm in a hurry but here is some help;
Step-by-step explanation:
Remember:
When adding positive numbers, count to the right. When adding negative numbers, count to the left. Add when two of the same signs appear next to each otherWhat us 2 1/3 divided by 1 1/2 in mixed number form?
33/14 =2 5/14
Step-by-step explanation:
have a great day
You want to buy a phone that costs $500. You already saved $100, and you plan to save $40 every week. How many weeks would it take to meet your goal of $500?
evaluate the expression for the given value of x
1. 2+x+(-7);x=8
2. x+7+(-7);x=4
Answer:
1. 3 2. 4
Step-by-step explanation:
1. 2+8+(-7)
2+8-7
3
2. 4+7+(-7)
4+7-7
4
Answer:
x =-1
Step-by-step explanation:
A rectangular park 60 yards long and 50 yards wide. Plans call for increasing both the length and the width by x yards.
a. Write a function to find the new length of the park.
b. Write a function to find the new width of the park.
c. Write a function to find the area of the park after increasing both the length and width.
Answer:
C
Step-by-step explanation:
If they are increasing w and l, they need a function for both.
BRAINLIEST!!! +10 POINTS!!! REAL ANSWERS ONLY PLEASE!!!
Answer:
Below : )
Step-by-step explanation:
1) {x lx is all real numbers}
2) {y l y is greater than or equal to zero}
3) increasing
4) decreasing
range: the set of output values corresponding to the domain values
domain: the set of input values for which the function is defined
Hope this helps! : )
J=b-q/g solve for b.
Answer:
[tex]j = b - \frac{q}{g} \\ j + \frac{q}{g } = b \\ b = \frac{gj + q}{g} \\ thank \: you[/tex]
The table below shows Aubree's earnings on the job.
Time (hours) Earnings (dollars)
4
$84.40
18.
$379.80
28
$590.80
How long does it take her to make $137.152
hours
Suomit Answers
Answer
Answer:
6.5 hours
Step-by-step explanation:
the pay per hour is $21.1
137.15÷21.1=6.5