Answers
Answer:
x = 138
Step-by-step explanation:
Exterior angle thm:
68 + 70 = x
x = 138
Related Questions
Drag the operations signs to make the number sentence true. Use each operation sign once. +–×÷ 4 (3 2) 6 1 = 14
Answers
Answer: its 4x(3+2)-6÷ 1=14
Step-by-step explanation: in the picture
Find the perimeter of a rectangle if the length of one side is 9x + 6y and the width is 13x + 2y.
Answers
Answer:
perimeter of rectangle = 2 (length + breadth)
= 2(9x + 6y + 13x + 2y)
= 2(22x +8y)
= 44x + 16y
Step-by-step explanation:
9x+6y
9-9x+6-9y both side subtract 9
x+(-3)y
x-3y the answer
13x+2y
13-13x+2-13y
x+(-11)y
x-11y .
follow me
evaluate plssssssssssssssssssss
Answers
Answer:
2/5!
Step-by-step explanation:
please help.
I need which letters to click
Answers
find the lateral surface area help needed asap will give brainliest
Answers
Step-by-step explanation:
3 Area of lateral = 3 ( bh ) = 12.2 XIO +7.04X12.2 +7.04x 12.2 = 122+85.888+85.888 = 293.776
293.776 approximate to 288
Triangle ABC was reflected across an axis.
A. State what axis it was reflected across
B. Give the ordered pairs of the reflected triangle
Answers
ordered pairs are b’(3,1), a’(4,6), and c’(6,2)
Solve for x HELP ASAP
Answers
HELP ASAP!!! select all the descriptions that apply to the transformation!
Answers
Answer: A and B
Step-by-step explanation:
The shape is moving from right to left and down
Find the volume of the composite shape to the right to the nearest while number
Answers
Will mark brainliest for the **CORRECT** answer!
Answers
Answer:
4x + 12x = 320
16x = 320
x = 20
Step-by-step explanation:
This is because the diagram shows 4x + 12x and the total being, 320.
4x + 12x = 16x
and 320/16 = 20
so x = 20
hope this helped :)
PLEASE HELP, ONLY HAVE A FEW MIN LFT!!!!
A bookstore tracked the data of the weight of their deliveries and the number of books in each box. They created a scatterplot and trend line based on the data.
Which statement would be a reasonable prediction based on the scatterplot and trend line?
A box with 10 books should weigh about 2 pounds.
A box with 10 books should weigh about 4 pounds.
A box with 10 books should weigh about 6 pounds.
A box with 10 books should weigh about 12 pounds.
Answers
Answer: According to the trendline it would be about 6 lbs
Step-by-step explanation:
Answer:
C.
Step-by-step explanation: I did the test </3
Andrea constructed a triangle. Angle 1 and 3 are the same size and angle 2 has a measurement of 70 degrees. What is the measurement of angle 1 and 3
Answers
Answer:
Step-by-step explanation:
By triangle sum theorem,
Sum of all angles of a triangle is 180°.
m∠1 + m∠2 + m∠3 = 180°
(m∠1 + m∠3) + m∠2 = 180°
2(m∠1) + 70° = 180° {Given → m∠1 = m∠3]
2(m∠1) = 110°
m∠1 = 55°
Therefore, m∠1 = m∠3 = 55°
Joseph orders some pizza for himself and his friends. The cost of each pizza is £12.50, and the delivery charge is £1.50. If Joseph orders 11 pizzas, how much does Joseph pay in total?
Answers
Answer:
£139
Step-by-step explanation:
£12.50 * 11 = 137.50
137.50 + 1.50 = £139
Answer:
137.5 + 1.50 = £139
Step-by-step explanation:
Please Give brainliest
Seats in a theater are curved from the front row to the back. The front row has 10 chairs, the second has 16 and the third has 22, and so on.
A. Write a recursive rule for this series
B. Write an explicit rule for this series
C. Using the explicit formula, find the number of chairs in row 5
D. The auditorium can hold 17 rows of chairs. Write a sigma notation for this series, and then use either series formula to calculate how many chairs can fit in the auditorium
Answers
Answer:
The first term is 10.
The second term is 16
The third term is 22.
We can see that the first term plus 6, is:
10 + 6 = 16
Then the first term plus 6 is equal to the second term.
And the second term plus 6 is:
16 + 6 = 22
Then the second term plus 6 is equal to the third term.
A) As we already found, the recursive rule is:
Aₙ = Aₙ₋₁ + 6
B) The explicit rule is:
Aₙ = A₁ + (n - 1)*6
Such that A1 is the first term, in this case A₁ = 10
Then:
Aₙ = 10 + (n - 1)*6
C)
Now we want to find A₅, then:
A₅ = 10 + (5 - 1)*6 = 34
There are 34 chairs in row 5.
D)
Here we have 17 rows, then we can have 17 terms, this means that the total number of chairs will be:
C = A₀ + A₁ + ... + A₁₆
This summation can be written as:
∑ 10 + (n - 1)*6 such that n goes from 0 to 16.
The formula for the sum of the first N terms of a sum like this is:
S(N) = (N)*(A₁ + Aₙ)/2
Then the sum of the 17 rows gives:
S(17) = 17*(10 + (10 + (17 - 1)*6)/2 = 986 chairs.
There are total 986 chairs in the considered auditorium and there are 34 chairs in the fifth row.
The recursive rule for this series is: [tex]T_n = T_{n-1} + 6[/tex]The explicit rule for this series is: [tex]T_n = 6n + 4[/tex]What is recursive rule?A rule defined such that its definition includes itself.
Example: [tex]F(x) = F(x-1) + c[/tex] is one such recursive rule.
For this case, we're provided that:
Seats in rows are 10 in front, 16 in second, 22 in third, and so on.
10 , 16 , 22 , .....
16 - 10 = 6
22 - 16 = 6
...
So consecutive difference is 6
If we take [tex]T_i[/tex] as ith term of the series then:
[tex]T_2 - T_1 = 6\\T_3 - T_2 = 6\\T_4 - T_3 = 6 \\T_5 - T_4 = 6\\\cdots\\T_{n} - T_{n-1} = 6[/tex]
Thus, the recursive rule for the given series is [tex]T_{n} - T_{n-1} = 6[/tex] or [tex]T_n = T_{n-1} + 6[/tex]
From this recursive rule, we can deduce the explicit formula as:
[tex]T_n = T_{n-1} + 6\\T_n = T_{n-2} + 6 + 6\\\cdots\\T_n = T_{n-k} + k \times 6\\T_n = T_1 + 6(n-1)\\T_n = 10 + 6(n-1) \: \rm (as \: T_1 = 10)\\[/tex]
Thus, the explicit rule for this series is [tex]T_n = 10 + 6(n-1)[/tex]
For 5th row, putting n = 5 gives us:
[tex]T_n = 10 + 6(n-1) = 6n + 4\\T_5 = 6(5) + 4 = 34[/tex]
If the auditorium has 17 rows, then total chairs are:
[tex]T = T_1 + T_2 + \cdots + T_{17} = \sum_{n=1}^{17} T_n\\\\T = \sum_{n=1}^{17} (10 + 6(n-1))\\\\T = \sum_{n=1}^{17} (6n + 4)\\\\T = 6\sum_{n=1}^{17} n + \sum_{n=1}^{17}4 = 6\sum_{n=1}^{17} n + 4 \times 17\\\\T = 6\left( \dfrac{17(18)}{2}\right) + 68 = 918 + 68\\\\T = 986[/tex]
(it is because [tex]\sum_{k=1}^n k = 1 + 2 + \cdots + n = \dfrac{n(n+1)}{2}[/tex] )
Thus, there are total 986 chairs in the considered auditorium. There are 34 chairs in the fifth row. The recursive rule for this series is: [tex]T_n = T_{n-1} + 6[/tex] The explicit rule for this series is: [tex]T_n = 6n + 4[/tex].
Learn more about recursive rule and explicit rule here:
https://brainly.com/question/12620593
select all the measurements that create a unique triangle
Answers
First of all, a journey refers to traveling from one place to another. When it comes to journeys, train journeys take the top spot. A train journey certainly is a wonderfully joyous occasion. Furthermore, train journeys fill individuals with a feeling of intense excitement. This mode of the journey is best when the travel distance is long. A train journey creates an aura that cannot be experienced with other types of journeys.
My Experience of Journey by Train
I have always been an avid supporter of train journeys. My involvement with train journeys began in childhood. I live in Lucknow and from here I have undertaken many train journeys. Furthermore, since childhood, I have paid several visits to the hill station of Almora to meet my relatives. Almora is a hill station located in the state of Uttarakhand. Most noteworthy, Almora is situated in the Himalayan mountain region. Due to this, trains cannot travel directly to Almora. Consequently, Kathgodam is the last town station accessible by trains before the mountain range begins.
The trip from Lucknow to kathgodam is quite a lively experience. I have always ensured the reservation of my seats beforehand. So, my train journey begins from Lucknow railway station. As the train undergoes motion and leaves the Lucknow railway station, my excitement begins to rise. Moreover, as the train gathers speed, a thrilling feeling overtakes me.
My train journey from Lucknow to Kathgodam is probably 8-10 hours duration. However, I enjoy every minute of it in spite of the journey being so long. Furthermore, all along the journey, one can purchase items of food and drinks. I almost always purchase meals and refreshments at least twice in the journey.
When slumber overtakes me, I make use of the sleeping berth. I personally find sleeping on the train berth very comfortable. When I wake after a deep sleep, mountains are visible from a distance. Moreover, as the train approaches Kathgodam with menacing speed, the view of mountains gets bigger and bigger. Also, my amusement greatly rises as I see the Himalayas draw closer. Finally, as the train stops at Kathgodam, my delightful train journey comes to an end.
Why Do I Like to Travel by Train?
Comfort is one of the biggest advantages of a train journey. Most noteworthy, one can move freely in a train cabin. Furthermore, in trains, there is a possibility of an ample foot room. Moreover, trains offer comfortable sleeping berths. All of this makes the train journey a relaxing experience.
Beautiful sightseeing is another noteworthy benefit of train journeys. As the train travels, one can enjoy the views of the countryside, farms, forests, factories, etc. This makes train journeys more comprehensive than journeys by air or road.
Train journeys offer a variety of opportunities to pass time. Furthermore, the train offers a sociable environment. In train journeys, conversations between passengers almost always take place. One can make new friends with traveling passengers on the train easily. Also, one can spend time in a handsome manner on a train journey. In a train journey, one can spend time reading something, listening to music, watching videos, sleeping/resting comfortably, etc.
To sum it up, train journeys are truly one of a kind. The train journey offers uniqueness like no other journey. Most noteworthy, the charm of such a journey is unmatchable. The train journey certainly offers an unforgettable rich experience.
C. 00:00 Two sides and an included angle
E. 00:00 All three sides
Step-by-step explanation:
A triangle can be defined as a shape with 3 sides.
A unique triangle can be defined as a triangle that no other triangle can be drawn or created from it.
It is also called a unique triangle because it can be drawn only in a specific way.
Features of a Unique Triangle includes:
a) A triangle that the length of its three sides is known or given.
b) A triangle that the length of two sides is given as well as an included angle.
c) A triangle that two angles are given or known as well as the length of an included side.
d) A triangle that two angles are known or given and a non-included side length is given as well.
Matt tried to evaluate 49 x 24 using partial products. His work is shown below
Answers
Answer:
step 5
Step-by-step explanation:
Please show me step by step how to do this
Answers
Answer:
The next three terms of the sequence are 17, 21 and 25.
The 300th term of the sequence is 1197.
Step-by-step explanation:
The statement describes an arithmetic progression, which is defined by following formula:
[tex]p(n) = p_{1}+r\cdot (n-1)[/tex] (1)
Where:
[tex]p_{1}[/tex] - First element of the sequence.
[tex]r[/tex] - Progression rate.
[tex]n[/tex] - Index of the n-th element of the sequence.
[tex]p(n)[/tex] - n-th element of the series.
If we know that [tex]p_{1} = 1[/tex], [tex]n = 2[/tex] and [tex]p(n) = 5[/tex], then the progression rate is:
[tex]r = \frac{p(n)-p_{1}}{n-1}[/tex]
[tex]r = 4[/tex]
The set of elements of the series are described by [tex]p(n) = 1 + 4\cdot (n-1)[/tex].
Lastly, if we know that [tex]n = 300[/tex], then the 300th term of the sequence is:
[tex]p(n) = 1 + 4\cdot (n-1)[/tex]
[tex]p(n) = 1197[/tex]
And the next three terms of the sequence are:
n = 5
[tex]p(n) = 1 + 4\cdot (n-1)[/tex]
[tex]p(n) = 17[/tex]
n = 6
[tex]p(n) = 1 + 4\cdot (n-1)[/tex]
[tex]p(n) = 21[/tex]
n = 7
[tex]p(n) = 1 + 4\cdot (n-1)[/tex]
[tex]p(n) = 25[/tex]
The next three terms of the sequence are 17, 21 and 25.
The 300th term of the sequence is 1197.
HELP PWEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
Answers
Answer:
rap music
Step-by-step explanation:
^
Answer:
i’m not sure if these are right or not but
Step-by-step explanation:
the first one is no
i think the second one is no
i think the third one is yes
i think the fourth one is yes
i am not sure and i’m REALLY sorry if its wrong
3. The angle between two equal sides of an isosceles triangle is 52º.
Each of the equal sides is 18 cm long.
a) Determine the measures of the two equal angles in the triangle.
b) Determine the length of the third side.
c) Determine the perimeter of the triangle.
Answers
Answer:
a) 64° each
b) 15.78 cm
c) 51.78 cm
Step-by-step explanation:
a) (180 - 52)/2 = 64°
b) cos 64 = x/18, x = 7.89, 2x = 15.78 cm
c) 18 + 18 + 15.78 = 51.78 cm
Need Help ASAP!!! I don’t get it
Answers
Answer:
Step-by-step explanation:
134-(-80)=134+80=214
Please Help!!! Unit 8: Right Triangles & Trigonometry Homework 6: Trigonometry Review
Answers
The value of x from the figure is [tex]cos^-1(\frac{14}{13} )[/tex]
Triangles and AnglesFrom the given diagram, we have the following
Adjacent = 14Hypotenuse = 13The required angle is x
Using the SOH CAH TOA identity
[tex]cos \theta =\frac{adj}{hyp}\\ cos \theta =\frac{14}{13}\\ \theta = arccos(\frac{14}{13} )[/tex]
Hence the value of x from the figure is [tex]cos^-1(\frac{14}{13} )[/tex]
Learn more on SOH CAH TOA here: https://brainly.com/question/22307176
Write -8 7/8
as a decimal number,
Answers
Answer:
-8.875
Step-by-step explanation:
8 7/8 > -71/8 > -8.875
The riddle family income is 3400 per month. They spend 1088 per month on housing. Use information to determine the percent of the budget spent on housing
Answers
Answer:
32%
Step-by-step explanation:
[tex]\frac{1088}{3400}[/tex]=[tex]\frac{x}{100}[/tex]
(1088)(100)=(3400)(x)
108800=3400x
x=32
32%
The percent of the budget spent on housing is 31.76%.
What is percentage?
Percentage is a mathematical term which means number or ratio expressed in terms of fractions of 100. it can be calculated by dividing given value to the whole value and multiplied by 100. we represent it through ' %'.
Given that, The riddle family income is 3400 per month.
They spend 1088 per month on housing.
We know the formula for percentage which is;
Percentage = (given value/whole value)*100,
Percentage = (1080/3400)*100
Percentage = 31.76
Hence, The percentage is 31.76%.
To learn more about percentage check:
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#SPJ5
Write a similarity statement comparing the three triangles in the diagram
P R S Q
Answers
Answer:
The answer is ΔJMK ≈ ΔMLK ≈ ΔJLM ⇒ answer (A)
Step-by-step explanation:
* Lets start with the equal angles i the three triangles
- In ΔJMK
∵ m∠JKM = 90°
∴ m∠KJM + m∠KMJ = 90 ⇒ (1)
- IN ΔMLK
∵ m∠MKL = 90°
∴ m∠KML + m∠KLM = 90° ⇒ (2)
∵ m∠KMJ + m∠KML = 90° ⇒ (3)
- From (1) , (2) , (3)
∴ m∠KJM = m∠KML
∴ m∠KMJ = m∠KLM
* Now lets check the condition of similarity in the 3 triangles
- At first ΔJMK and ΔMLK
- In triangles JMK , MLK
∵ m∠KJM = m∠KML
∵ m∠KMJ = m∠KLM
∵ m∠JKM = m∠MKL
∴ ΔJMK ≈ ΔMLK ⇒ (4)
- At second ΔJMK and ΔJLM
∵ m∠KJM = m∠MJL
∵ m∠KMJ = m∠MLJ
∵ m∠JKM = m∠JML
∴ ΔJMK ≈ ΔJLM ⇒ (5)
* If two triangles are similar to one triangle, then they are
similar to each other
- From (4) and(5)
∴ ΔJMK ≈ ΔMLK ≈ ΔJLM
A farmer wants to seed and fence a section of land. Fencing costs $27 per yard. Grass seed costs $2 per square foot. How much does it cost to fence and seed the pasture? (No links)
Answers
Answer:
she have 29 seed for the pasture
$448,740
FENCING: $27(255+255+450+450+450)/3 = $16740
GRASS SQUARE: 450^2 * $2= $405000
GRASS TRIANGLE: sqrt(255^2-120^2) = 225, 120/2 * 225 = 60 * 225 = 13500 ft^2, 13500 * 2 = $27000
$16740 + $405000 + $27000 = $448,740
Which of the following properties is represented by the calculations in the photo?
A) multiplication property of equality
B) zero sum property
C) addition property of equality
D) zero product property
Answers
Answer:
D. zero product property
Step-by-step explanation:
Base on the Zero Product Property, if the product of factors gives us 0, either of the factors or both would equal 0.
Thus,
xy = 0, therefore,
x = 0 or y = 0
Therefore, the property that is represented by the calculation given in the photo is Zero Product Property.
Answer this question please
Answers
Question is in picture
Answers
a^2 + b^2 = c^2 (long hypothenuse side)
1^2 + b^2 = 2^2
1 + b^2 = 4
b^2 = 3
b = square root 3 = 1.7321 round it
Solution: 1.7 ft
Answer: 1.7
Step-by-step explanation: We can use the pythagorean theorem!
A² + B² = C²
1² + B² = 2²
1 + B² = 4
4 - 1 = B²
3 = B²
√3 = B
1.7 = B
Hope this helps :)
Can you help me for these 3 questions.
Answers
Answer:
Step-by-step explanation:
1) a + a
2) 2n+4 = 6n
3) 1
4n = 4
n = 1
Use the box method to distribute and simplify (2 + 1)(2x - 3). Drag and drop the
terms to the correct locations of the table.
Answers
Answer:
2x^2-x-3
(2x)(-3)
(x)
(1)
Step-by-step explanation:
Distribute
(2x^2) (-3x)
(2x) (-3)
