Answers
64° + 76° + (2x+14)° = 180° (angle sum of triangle)
140° + 2x+14° = 180°
2x=180 ° - 14 ° -140°
2x=26°
x=13°
Answer:
x = 13
Step-by-step explanation:
the sum of the triangle angles always adds up to 180 degrees, otherwise it is not a triangle.
64 + 76 = 140
180 - 140 = 40.
therefore, the last angle must equal 40 degrees.
2 * x + 14 is the equation we need to us to get to 40 degrees.
40 - 14 = 26
26 / 2 = 13
therefore, x equals 13
now, is we want to check our answer to make sure it is correct,
2 * 13 + 14 = 26 + 14
26 + 14 = 40
76 + 64 = 140
180 - 140 = 40
therefore, it works.
good luck my friend!
Related Questions
Graph the following in cartesian plane. With solution.
1.) 5x - 4y = 20
2.) 3x + 3y = 15
3.) y = 3/4x - 2
4.) y = -3/2x + 3
pls help me I need this pls, I only need the solution, thx
Answers
Step-by-step explanation:
1.) 5x-4y=20
y=5/4x-5
5x/4-5=0
x=4
2.) 3x+3y=15
y=-x+5
x+5=0
-x=-5
=x=5
3.) y=3/4x-2
3/4x-2=0
x=0
3x4x/4 -2 x4x-0x4x
3-2x4x=0x4x
3-8x=0
8x=-3
=x=3/8
4.) y=3/2x+3
3/2x+3=0
x=0x
3x2x/2+3x2x=0x2x
3+3x2x=0x2x
3+6x=0
6x=-3
x=_3/6
=x=-1/2
Last month I had 8 guppies. This month I have 20 guppies. What is the percent of increase in guppies from last month to this month?
Answers
Answer: 150% increase
Step-by-step explanation:
percent of increase: new/old × 100%-100%
--------------
new/this month: 20 puppies
old/last month: 8 puppies
new/old×100%-100%
=20/8×100%-100%
=2.5×100%-100%
=250% -100%
=150% increase
Hope this helps!! :)
Please let me know if you have any question
Jenny is making jewelry craft kits. She purchases 3 bags of each color band. She divides the
total number of bands equally into 4 kits. How many bands are in each kit?
Answers
Answer: B. 195
Step-by-step explanation:
Answer: A: 65 brands.
Step-by-step explanation:
First, add up each number of brands to get 260.
Then divide it by four, to get 65. (as in 65 brands per kit)
Hope this helps!
Please help and you get a cake
Answers
Answer:
Mean = 33.7
Median = 34.5
Mode = 34
Range = 33
After adding 26....
mean decreases by 0.7
median decreases by 0.5
mode is 34
range is 33
Step-by-step explanation:
mean = sum of all the data values/number of data values
= (18 + 19 + 20 + 34 + 34 + 35 + 37 + 42 + 47 + 51)/10
= 337/10
= 33.7
To find median arrange the values in increasing order, find the mid value
If the number of data points is even, find the average of the mid 2 data values
Arranging data values we get:
18, 19, 20, 34, 34, 35, 37, 42, 47, 51
Since there are 10 data values, take the average of the middle two:
(34 + 35)/2 = 34.5
The mode is the value that occurs most often. We see that there are two instances of 34 whereas the other values appear only once
Mode = 34
The range is highest - lowest = 51 - 18 = 33
After we add 26, we get the following data set arranged
18, 19, 20, 26, 34, 34, 35, 37, 42, 47, 51
we can calculate the stats using the same technique as above
We get the following values
mean = )(18 + 19 + 20 + 26 + 34 + 34 + 35 + 37 + 42 + 47 + 51)/11
= 33
median = 34
mode = 34
range = 51-18 = 33
To find the decrease in mean and median subtract from the first set of values
Which equation has the solution x = 3? Select each correct answer. Responses 5x−7=1 5 x minus 7 equals 1 9−3x=0 9 minus 3 x equals 0 2x + 4 = 10 2, x, + 4 = 10 3x + 1 = 9 3, x, + 1 = 9 9x−1=4 9 over x end fraction minus 1 equals 4 x3+5=6 x over 3 end fraction plus 5 equals 6 (dont answer)
Answers
Answer:
Step-by-step explanat
none of them
A project will take a total of 720 person-days to complete. If the project must be completed in 30 days, how many people must be employed? PLEASE HURRY
Answers
Answer:
192 hours per day / 8 hours per person per day = 24 people
Step-by-step explanation:
Assuming each person works for 8 hours a day, the total number of hours needed to complete the project is:
720 person-days x 8 hours = 5,760 hours
To complete the project in 30 days, the total number of hours needed per day is:
5,760 hours / 30 days = 192 hours per day
A flower was 1.6 meters high one week ago. In 7 days it grew 11 centimeters. What is the current height of the flower?
Answers
Answer:
The current height of the flower is 1.71 meters!
I hope this answer helped you!!!
Step-by-step explanation:
I took the test!!!
Pls help! Will give brainliest!!
Answers
Considering area (A) of garden as 30 square feet:
30 = x(2x+7)
Now we need to expand it:
x(2x+7) = 2x^2 + 7x
2x^2 + 7x = 30
Adding this into an Algebra calculator gives us 5/2 or 2.5
So x = 2.5
To prove this:
2(2.5) + 7 = 12
14 * 2.5 = 30
(2x+7) x = 30
you can distribute to make this easier
2x^2 + 7x = 30
you can plug this into quadratic formula by setting the equation =0, so:
2x^2 +7x -30 = 0
where 2x^2 = a
7x = b
and -30 = c
you can plug this into your calculator and get an answer of
X = 2.5
I need help please I don't get it
Answers
Please help, this is all coming from the geogebra website,
Answers
Answer:
first off which one is figure b and figure A, if figure b is the big one and figure a is the little one then your answers should be the last three they should be please don't hate me if it's wrong
Step-by-step explanation:
Which ordered pair is the solution to the system of equations? {x+2y=−8y=12x−2
Answers
Answer:
\(\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)\)
Step-by-step explanation:
\(x+2y=-8 \\\\y=12x-2\)
Substitute:
\(x+2(12x-2)=-8\)
Expand:
\(x+24x-4=-8\)
Simplify:
\(25x=-4\)
Divide both sides by 25:
\(x=-\dfrac{4}{25}\)
Plug this back into one of the original equations to find y:
\(-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}\)
The ordered pair that represents this solution is therefore:
\(\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)\)
Hope this helps!
What is the answer to this question
Answers
Answer:
Step-by-step explanation:
I think not possitive but i think it is the 3rd one hope im right
2 1/4 ÷(3/8 ÷1/2)
i know this might be easy but the my hw website keeps saying wrong
Answers
Answer:
The answer is 28
Step-by-step explanation:
2 1/4 ÷ (3/8 ÷ 1/2)
= 9/4 ÷ (3/8 × 2/1)
= 9/4 ÷ (6/8)
= 9/4 ÷ (3/4)
=9/4 × 4/3
= 3
2 1/4 divided by ((3/8)/(1/2))
First, solve what is in the parentheses
3/8 divided by 1/2 becomes ——> 3/8*2/1
3/8*2/1 can simply to 6/8 or 3/4
Then we take 2 1/4 and make it 9/4 by multiplying 2*4=8 and adding 1 to get 9/4
This way we can divide 9/4 by 3/4
So 9/4 divided by 3/4 becomes ——> 9/4*4/3
9/4*4/3 becomes 36/12 which simplifies to 3
So this means that the answer is 3
You AND six friends play on a basketball team. A sponsor paid $100 for the league fee for the season, x dollars for EACH player’s T-shirt, and $68.25 in total for trophies. Write a simplified expression for the total amount the sponsor paid for the season
Answers
Answer:
7x + 168.25
Step-by-step explanation:
Umm I wasn't completly sure but good luck!
The Blake family hide and 22.5 miles in five days which equation represents the distance The hiked in one day?
Answers
Answer:
4.5 in one day.
Step-by-step explanation:
According to the 2010 census data, the population of Texas was about 25,000,000 people. The land area of Texas is about 260,000 m^2. What was the average number of people per square mile in 2010?
Answers
Answer:249037470.178 peoples per mi^2
what's the slope of the line?
A. -3
B. -1/3
C. 1/3
D. 3
Answers
Please Help ASAP! Rewrite x^4y^2 − 3x^3y^3 using a common factor.
A. 3xy(x^3y − x^2y)
B. 3xy^2(x^2 − x^2y)
C. x^2y(xy − 3xy^2)
D. x^2y^2(x^2 − 3xy)
I think it's B. But I might be wrong.
Answers
Simply multiplying the value that has been factored out back in again gives you the initial term again :).
In A, we would habe 3x^4y^2-3x^3y^2. Note the 3 in the first summand and the exponent of the second y being wrong.
In B, we would have 3x^4y^4-3x^3y^3. Note the 3 in the first summand being wrong.
In C, we would have x^3y^2-3x^3y^3. Note the first x having the wrong exponent.
Have a nice weekend
48 cm : 56 cm as a fraction in simplest form
Answers
Answer: 6:7
Step-by-step explanation:
48:56
DIVIDE BY 8 ON BOTH SIDES
6:7
Answer:
6/7
Step-by-step explanation:
To express 48 cm : 56 cm as a fraction in simplest form, we need to find the greatest common factor (GCF) of 48 and 56 and divide both terms by it.
The prime factorization of 48 is 2 x 2 x 2 x 2 x 3, and the prime factorization of 56 is 2 x 2 x 2 x 7.
The GCF of 48 and 56 is 2 x 2 x 2, which is 8.
Therefore, we can simplify 48 cm : 56 cm as:
48 cm : 56 cm = (48/8) cm : (56/8) cm = 6 cm : 7 cm
So, 48 cm : 56 cm as a fraction in simplest form is 6/7.
NEED HELP ASAP. ASSISTANCE IS GREATLY APPRECIATED.
What is the volume, in cubic inches, of a cone that has a radius of 9 inches and a height of 16 inches? Use 3.14 for π (pi), and round to the nearest hundredth.
Answers
Answer:
The volume (V) of a cone can be calculated using the formula: V = (1/3)πr^2h, where r is the radius and h is the height.
Substituting the given values, we get:
V = (1/3) x 3.14 x 9^2 x 16
Calculating this expression gives us:
V = 1810.08 cubic inches
Rounding to the nearest hundredth gives us:
V ≈ 1810.08 cubic inches (rounded to two decimal places)
Therefore, the volume of the cone is approximately 1810.08 cubic inches.
Answer:
1363.04
Step-by-step explanation:
V = (1/3) * 3.14 * 9^2 * 16
Simplifying:
V ≈ 1363.04 cubic inches
Which figure has exactly one line of symmetry? A rhombus, pentagon, rectangle and triangle are shown. A. Rhombus B. Pentagon C. Rectangle D. Triangle
Answers
Answer: The figure that has exactly one line of symmetry is B. Pentagon.
Step-by-step explanation: A line of symmetry is a line that divides a figure into two congruent halves that are mirror images of each other. A figure can have zero, one, or more lines of symmetry depending on its shape and orientation. To find the lines of symmetry of a figure, we can use a paper folding method or a reflection test. A paper folding method involves folding the figure along a line and checking if the two halves match up exactly. A reflection test involves reflecting the figure over a line and checking if the image coincides with the original figure.
Using either method, we can see that:
A. Rhombus has two lines of symmetry: one diagonal and one vertical.
C. Rectangle has two lines of symmetry: one horizontal and one vertical.
D. Triangle has either zero or three lines of symmetry depending on the type of triangle. An equilateral triangle has three lines of symmetry: one vertical and two bisecting the angles. An isosceles triangle has one line of symmetry: the perpendicular bisector of the base. A scalene triangle has no lines of symmetry.
B. Pentagon has either zero or five lines of symmetry depending on the type of pentagon. A regular pentagon has five lines of symmetry: each passing through a vertex and the midpoint of the opposite side. An irregular pentagon has no lines of symmetry.
Therefore, the only figure that has exactly one line of symmetry is B. Pentagon, but only if it is an isosceles pentagon.
Hope this helps, and have a great day! =)
Every day, Ed's orange juice stand uses 2/3 of a bag of oranges. How many days will 2 2/3 bags of oranges last?
Answers
4days
Step by step solved:
If 2/3 of a bag of oranges is used every day, then in one day Ed's orange juice stand uses:
2/3 * 1 = 2/3
of a bag of oranges.
To find out how many days 2 2/3 bags of oranges will last, we can divide the total amount of oranges by the amount used each day:
2 2/3 = 8/3
8/3 ÷ 2/3 = 8/3 × 3/2 = 12/3 = 4
Therefore, 2 2/3 bags of oranges will last Ed's orange juice stand for 4 days.
Answer:
4 days
Step-by-step explanation:
2 2/3 ÷ 2/3
2 2/3 = \(\frac{3}{3}\) + \(\frac{3}{3}\) + \(\frac{2}{3}\) = \(\frac{8}{3}\) (\(\frac{3}{3}\) is another name for 1)
\(\frac{8}{3}\) ÷ \(\frac{2}{3}\) = \(\frac{4}{1}\) = 4
Helping in the name of Jesus.
the ratio of males to females at a camp is 5 to 4. If there are 40 males at the camp, how many females are there?
Answers
Answer:
5 males : 4 females
40 males : X females
5/40 =4/X
(cross multiplication)
5x = 4*40
5x = 160
(divide both sides by 5)
X = 32
therefore, there are 32 females at the camp
Classify the four angles of the quadrilateral.
Answers
Answer:
A: Right (90º)
B: Acute (below 90º)
C: Obtuse (above 90º)
D: Acute (below 90º)
Step-by-step explanation:
B:acute
C:oubtuse
D:acute
The graph represents a relation where x represents the independent variable and y represents the dependent variable. a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 2 comma negative 2, at 0 comma 2, at 1 comma 3, and at 5 comma 1 What is the domain of the relation? {−5, −2, 0, 1, 2, 3, 5} {−5, −2, −1, 0, 3, 5} {−5, −2, 0, 1, 5} {−2, 0, 1, 3}
Answers
Answer:
domain is -5,-2,01,5
Step-by-step explanation:
domain are all the x's
On Monday April 1, Michelle collected 6 seashells. She collected 6 more each day until the end of the month. Her friend Karen collected 8 seashells on April 1 and 8 more shells each day until the end of the month. what is the first date they will have collected the same number of shells?
Answers
Answer: April 4th
Step-by-step explanation: Make multiples of each number. 6, 12, 18, 24 then 8,16,24. both numbers meet at 24, but Michelle simply takes longer. Since Michelle collects 6 every day and 6x4 =24, the answer is April 4th
Answer:m
Step-by-step explanation:
,,
Find the area of Figure 1.
A.10 units2
B.25 units2
C.7.5 units2
D.15 units2
Find the area of Figure 3.
A. 15 units2
B. 7.5 units2
C. 25 units2
D. 10 units2
PLEASE ASAP PLEASE!!!
Answers
Answer: Figure 1 is A and Figure 3 is D
Step-by-step explanation:
Length for figure 1 is 10 units and the width is one, using the formula a=l*w
10=1*10
Length for figure 3 is 5 units and the width is 2 a=l*w 10=5*2
Figure 3 = D.
simplify
10m + – 8 + 9m + – 10m
Answers
Answer:
9m-8
Step-by-step explanation:
you need to group like terms and solve
Answer:
9m - 8
Step-by-step explanation:
We know that,
( - ) × ( - ) = ( + )
( + ) × ( + ) = ( + )
( - ) × ( + ) = ( - )
Accordingly, let us solve it now.
10m + ( – 8 ) + 9m + ( – 10m )
Solve the brackets.
10m - 8 + 9m - 10m
Combine like terms.
9m - 8
Which Doesn't Belong?
Answers
Step-by-step explanation:
If you are goin for which one isn't prime, then it would be four.
If you are going for which one isnt a factor, there is more then one
If you are going for something else, i have no idea.
Which expressions are equivalent to 2(4f+2g)? CHOOSE 3 ANSWERS
A. 8f + 2g
B. 2f(4 + 2g)
C. 8f+4g
D. 4(2f+g)
E. 4f+4f+4g
Answers
Answer:
C,D,E
Step-by-step explanation:
The answer depends on how far into the process you go and your properties