Answers
Answer:
yes
Step-by-step explanation:
yes
Answer:
[tex]x=22\text{ and } y=123[/tex]
Step-by-step explanation:
By definition, the interior angles of a triangle must sum to 180°. Therefore:
[tex](2x+13)+(57)+(3x)=180[/tex]
Combine like terms:
[tex]5x+70=180[/tex]
Subtract 70 from both sides:
[tex]5x=110[/tex]
And divide both sides by five. Hence:
[tex]x=22[/tex]
Next, notice that y and the 57° angle form a linear pair. By definition, linear pairs equal 180°. Therefore:
[tex]y+57=180[/tex]
So:
[tex]y=123[/tex]
Alternatively, we can use the Exterior Angle Theorem, which states that the exterior angle is equivalent to the sum of the two interior angles opposite to the exterior angle. In other words:
[tex]y=(2x+13)+(3x)[/tex]
Since we've determined that x = 22:
[tex]y=(2(22)+13)+(3(22))=44+13+66= 123[/tex]
We acquire the same answer.
Related Questions
Solve for x
-6/5x-4=-46
Answers
Answer:
x = 35
Step-by-step explanation:
-6/5x-4=-46
Add 4 to each side
-6/5x-4+4=-46+4
-6/5x=-42
Multiply each side by -5/6 to isolate x
-5/6 * -6/5x=-42 * -5/6
x = 35
Answer:
x = 35
Step-by-step explanation:
-6 / 5x - 4 = - 46
Add 4 to each side
- 6 / 5 x - 4 + 4 = - 46 + 4
- 6 / 5 x = - 42
To find x, multiply 42 by 5 and then divide by 6.
x = 42 × 5 / 6
x = 7 × 5
x = 35
analyze the histogram comparing the frequencies shown for the annual temperatures of kentucky and illinois
Answers
Answer:
See explanation
Step-by-step explanation:
The question is incomplete, as the required histograms are not provided; however, the general explanation is as follows.
(a) If any of the histograms has more bars at the left hand side, then it means that the distribution is skewed left.
(b) If any of the histograms has more bars at the right hand side, then it means that the distribution is skewed right.
(c) If any of the histograms has appears to have increasing number of bars at the middle, then it means the such histogram is symmetrical.
Use the above illustration to answer your question.
Answer:
C: Both distributions are skewed right.
Step-by-step explanation:
PLZZZ HELP
Find the average rate of change of h(x) = 2x² – 7x from x=2 to x=5.
Simplify your answer as much as possible.
Answers
Answer:
The average rate of change of h(x) in the given interval is 7.
Step-by-step explanation:
When we want to find the average rate of change of a function f(x), in an interval a < x < b, we just need to calculate:
[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]
Here we have:
h(x) = 2*x^2 - 7*x
And we want to find the average rate of change between x = 2 and x = 5
This will be:
[tex]r = \frac{h(5) - h(2)}{5 - 2} = \frac{(2*5^2 - 7*5) - ( 2*2^2 - 7*2)}{3} = \frac{15 - (-6)}{3} = \frac{21}{3} = 7[/tex]
The average rate of change of h(x) in the given interval is 7.
How many bags of concrete are needed to fill the path 1m3 requires 106 x 20kg bags of concrete The pond is 7m diameter and the path around is 2m 50mm deep
Answers
Answer:
300 Bags
Step-by-step explanation:
According to the Question,
Given that, We are laying a concrete border around a circular pond. The pond is 7 metres in diameter and is surrounded by a path 2 metres wide.The radius of the pool = 3.5 m; the overall radius including the border = 3.5 + 2 = 5.5m
The area of the concrete borderoverall area - pool area = border area(A)
A = π×5.5² - π×3.5²
A = 56.55 sq m
The concrete needs to be 50 millimetres deep.the volume of the concrete, change 50 mm to .05 m
56.55 * 05 = 2.8275 cu/meters
We are using premixed bagged concrete.1 cubic metre requires 106 x 20 kg bags.
So For the number of bags106 * 2.8275 = 299.715 ≈ 300bags
300 bags of 20 kg of premixed concrete We need
Why did the author most likely include information about the Spanish-
American War in the reading?
O A. To show his knowledge of history
B. To set the time frame for his story
O C. To emphasize a dangerous situation
O D. To please readers who had military knowledge
Answers
Which property is shown in the matrix addition below?
0 -5.5
0
5.5
0
0
6
19.4 +-6
-6 -19.4
0
0
0
0
0
0
0 0
Answers
Answer:
additive inverse properties
PLSSS HELPPP no linkss plsss im begging
Answers
Answer:
Step-by-step explanation:
what is the effect on the graph of f(x) if it is changed to f(x)+7, f(x+7) or 7f(x)
Answers
Answer:
it changed to f(x)+7 because it has an asymptote of 7
HELP PLEASE THIS IS IMPORTANT FOR MY CLASS!!1.what is the diameter in inches of a circle that has a circumference of 12 inches
Answers
Answer:
3.8 inches
Step-by-step explanation:
12 = 2 x 22/7 x r
84= 2 x 22 x r
42 = 22r
r = 1.9
2r = 3.8inches.
diameter is twice the radius
diameter = 3.8 inches
hope its right. good luck!
two circles intersect each other in A and C. O the centre of the smaller circle, lies on circumference of the bigger circle D is a point on smaller circle and DC produce intersects the bigger circle in B. BO produce intersects AD inM. AO, OC andAB are drawn 1 IF IT IS FURTHER GIVEN THAT ACO.=D, PROVE THAT AD IS A TANGENT TO CIRCLE ABO
Answers
Answer:
ss
Step-by-step explanation:
s
What is the ratio of the side length of the side opposite any 30 degree angle and the length of the hypothesis ?
Answers
Answer:
1 : 2
Step-by-step explanation:
the ratio is 1 : 2
_____
Please help me kitty
Answers
Answer:
Its either exponential growth or increasing linear. I am positive it is not exponential decay or decreasing linear, but if I had to choose it would be exponential growth.
Answer:
Hi how are you will u friendship with me plz
A skateboard that is originally $107 is on sale for 90% off!! How much does the skateboard cost?
Answers
90% off means is is selling for 10% of the original price.
Multiply original price by 10%
107 x 0.01 = $10.70
It is selling for $10.70
[tex](2x + 3)(2 {x}^{2} - x - 2)[/tex]
simplify this question
Answers
4
x
3
+
4
x
2
−
7
x
−
6
If there are 26 students in each third-grade class and 3 third-grade classes in the school, how many students will attend an assembly for third graders if a total of 4 students are absent?
students
Answers
Answer:
The answer is 74
Step-by-step explanation:
First you need to find the number of student in total so just multiply 26 by 3 which is 78.
Then after since there are 4 students absent subtract 4 from 78 which is 74.
It's a quartile question.
Answers
Answer:
D. 8
Step-by-step explanation:
the upper quartile = 8
Find The Area please help me
Answers
r=3.14 r2
R=3.14x49
A=153
A cyclist travels 8 km from home to the park. She leaves home at 10:15 and arrives at the park at 10:30. What is her average speed in km/h?
Answers
Answer:
speed = 32km/hr
Step-by-step explanation:
Time
10:15 to 10:30 = 1/4 hr
speed = distance/time
speed = 8 / (1/4)
speed = 32km/hr
Find the area of the circle. (Picture attached). Thank you!!
Answers
Answer:
254.5cm²
Step-by-step explanation:
I assumed that the units is cm.
hope it helps!!!
In triangle RST, angle R is a right angle. If TR = 6 and TS = 8, what is the length of RS
Answers
Answer:
RS = 2[tex]\sqrt{7}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
RS² + RT² = TS² , that is
RS² + 6² = 8²
RS² + 36 = 64 ( subtract 36 from both sides )
RS² = 28 ( take the square root of both sides )
RS = [tex]\sqrt{28}[/tex] = [tex]\sqrt{4(7)}[/tex] = 2[tex]\sqrt{7}[/tex] ≈ 5.3 ( to 1 dec. place )
Total health care costs in the United States in 2016 was $1.7 trillion. he US population was 290.9 million. What was the average amount spent per person on health care?
Answers
Answer:
$5,843.9
Step-by-step explanation:
2016
Total health care cost in US = $1.7 trillion
= $1,700,000,000,000
Population in US = 290.9 million.
= 290,900,000
Average amount spent per person on health care = Total health care cost in US / Population in US
= 1,700,000,000,000 / 290,900,000
= $5843.9326228944
Approximately,
$5,843.9
To the nearest whole number
= $5,844
Find the area of AABC. Round your answer to the nearest tenth.
mZA = 23º, mZC = 39, b = 14.6
a. 44.5
b. 29.7
C. 49.4
d. 77.1
Answers
Answer:
the answer is 77.1
Amanda works as a hostess at Red Robin on weekday nights and at the Pix movie theatre on the weekends. Amanda’s pay at Red Robin is 11.50ℎ+0.25+10and her pay at the Pix is 10.50ℎ+0.5−20. Find the polynomial that would represent Amanda’s total earnings from her two jobs.
Answers
Answer:
22h−9.25
Step-by-step explanation:
Viết các lũy thừa sau dưới dạng một lũy thừa hoặc các tích các lũy thừa có số nguyên và số nguyên A.8 mũ 2 B. 654
Answers
Step-by-step explanation:
câu trả lời là trong hình ảnh trên
Algebra
write down the coefficient of x in 3(x)4x
A 12
B 3
C 0
by Emmanuel okorie
Answers
Answer:
nah its a.
Step-by-step explanation:
bakit?(#boyinthebrainly)
an angle is 21 degree more than twice its complement find it
QUICK
ASAP now before tomorrow Please
Answers
Answer: 67°
Step-by-step explanation:
Complementary angle refers to the angle that when added together will be equal to 90°.
Let the measurement of the angle's complement be x.
Therefore, the angles are x and 2x + 21. Since it's a complementary angle, therefore,
x + 2x + 21 = 90
3x + 21 = 90
3x = 90 - 21
3x = 69
x = 69°/3
x = 23°
Therefore, the angle will be:
= 2x + 21
= 2(23°) + 21°
= 46° + 21°
= 67°
The angle is 67°.
Please help ASAP thank you
Answers
B: the absolute values of each customer is $47.92 and $68.21 (Chris’ debt), and the latter number is greater
Yulet rolls 2 fair dice and adds the results from each.
Work out the probability of getting a total that is a factor of 24.
Answers
Solve for x.
3:12 = x:16
64
4
2 1/4
Answers
Hi!
i think We can set up a proportion to solve this
\frac{3}{12} \frac{x}{16}
12
3
16
x
Cross multiply
3 x 16 = 48
48/12 = 4
The answer is 4
Hope this helps! :)
Which expression is equal to 4?
Answers
Answer:
D
Step-by-step explanation:
When taking an esponent to an exponent multiply them
4 ^(1/3)^3 = 4^1 = 4
