Answers
Answer:
x = 10
y = 6
Step-by-step explanation:
Vertical Angle Theorem: When two straight lines intersect, the opposite vertical angles are always equal to each other.
⇒ m∠1 = m∠3 and m∠2 = m∠4
⇒ m∠1 = m∠3
⇒ 10x = 100
⇒ x = 10
Linear pair: Two adjacent angles which sum to 180°.
⇒ m∠1 + m∠2 = 180°
⇒ m∠3 + m∠4 = 180°
⇒ 100 + 10y + 20 = 180
⇒ 120 + 10y = 180
⇒ 10y = 60
⇒ y = 6
Related Questions
A city has a population of 380,000 people. Suppose that each year the population grows by 6.5%. What will the population be after 10 years?
Round your answer to the nearest whole number.
Answers
y = a•(1+x)^(t/p)
y is the end result
a is the initial amount
x is the percent growth as a decimal
t is the total amount of time
p is how often the growth occurred
Note that t and p both need to be the same units, whether that be seconds or days or months or years etc.
So,
y = 380000 • (1.065)^(10/1)
y = 380000 • 1.87713746527
y = 713312.236802
y = 713312
Which number is a multiple of 2?
A) 14
B) 21
C) 7
D) 19
Answers
Answer:
The answer is A
Step-by-step explanation:
Since the number that you are finding the multiple of is 2, it has to be an even number. Another way is if 2 by another whole number equals the answer choice then you got your answer.
Your backyard is 60 feet long and 50 feet wide. You install a circular pool with a 10-foot radius. What is the area of the backyard, in square feet, that can be planted with grass? Round your answer to the nearest whole number (Area of a rectangle = base x height) (Area of a circle = 3.14 x (radius) ^2)
Answers
Answer:
2686
Step-by-step explanation:
First let's find the area of the garden.
[tex]60 \times 50 = 3000ft {}^{2} [/tex]
Now let's find the area of the pool.
[tex]3.14 \times 10 {}^{2} [/tex]
[tex]3.14 \times 100 = 314ft {}^{2} [/tex]
Lastly subtract both products.
[tex]3000 - 314 = 2686[/tex]
solve x/3+y/4=2
2x/3+3y/4=5
Answers
Step-by-step explanation:
please mark me as brainlest
Answer:
Step-by-step explanation:
[tex]\dfrac{x}{3}+\dfrac{y}{4}=2\\\\\\\text{Multiply the whole equation by the LCM of 4 , 12 which is 12}\\\\ 12*\dfrac{x}{3}+12*\dfrac{y}{4}=12*2\\\\\\4x + 3y=24 \ -------------------(i)[/tex]
[tex]\dfrac{2x}{3}+\dfrac{3y}{4}=5\\\\\\\text{Multiply the whole equation by 12}\\\\12*\dfrac{2x}{3}+12*\dfrac{3y}{4}=5*12\\\\\\[/tex]
8x + 9y = 60 -------------------------(ii)
Multiply equation (i) by (-2)
(i)*(-2) -8x -6y = -48
(ii) 8x +9y = 60 {Now add. x will be cancelled}
3y = 12 {Divide both sides by 3}
y = 12/3
y = 4
Substitute y = 4 in equation (i)
4x + 3*4 = 24
4x + 12 = 24
4x = 24 - 12
4x = 12
x = 12/4
x = 3
[tex]\boxed{x = 3 \ ; \ y = 4}[/tex]
Which graph represents an exponential function?
Answers
Answer:The function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.
What are exponential functions?
The exponential functions are written in the form of y = aeᵇˣ, where the output y increases exponentially for the input x.
In order to find the graph that represents an exponential function, we will discuss each of the following graphs,
For the 1st graph, (Black),
In the first graph, the graph is of a parabola, and the function which represents this kind of graph is a quadratic equation, therefore, this graph represents a parabolic equation. It is given by the function,
y=ax²+bx+c or y=a(x-h)²+k
For the 2nd graph, (Red),
In the second graph, the graph represented is the graph of a reciprocal function, the function that can be represented by the graph,
y=a/x + b
For the 3rd graph, (Blue),
In the third graph, the graph represented is the graph of root function, it can be modeled as,
y = a+√(x+b)
For the 4th graph, (Green),
In the fourth graph, the graph represented is the graph of an exponential function, and it can be modeled as,
y = aeᵇˣ
Hence, the function that represents an exponential function is the 4th graph and it can be modeled as y = aeᵇˣ.
Step-by-step explanation:
-2x > 12
A. X>-6
B.x>14
C. X<14
D. X<-6
Answers
Answer:
D. x< -6
Step-by-step explanation:
Divide both sides by −2. Since −2 is negative, the inequality direction is changed.
x < 12/-2
Divide 12 by −2 to get −6.
x < -6
i need help with this problem
Answers
Step-by-step explanation:
Pythagoras theorem
16²=7²+a²
a²=16²-7²
a²= 256 -49
a²=207
a=√207
a=14.38
a≈14.4 in. (approx)
Answer:
Step-by-step explanation:
As it is a right angle triangle, we can use Pythagorean theorem to find a
base² + altitude² = hypotenuse²
7² + a² = 16²
49 + a² = 256
a² = 256 - 49
a² = 207
a = √207
a = 14.4 in
ANSWER FOR EXTRA POINTS ⭐️⭐️⭐️
Answers
the answer is b if i remeber
A case of glue weighs 24 pounds. A pallet loader can lift 3 tons. How many cases can a pallet loader lift?
Answers
Answer:
250 cases
Step-by-step explanation:
3 tons is 6000 pounds
you divide 6000 by 24 and get 250
that is your answer
55 POINTS QUICK PLEASE!!!!!!!
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Bailey’s Cakes and Pastries baked a three-tiered cake for a wedding. The bottom tier is a rectangular prism that is 18 centimeters long, 12 centimeters wide, and 8 centimeters tall. The middle tier is a rectangular prism that is 12 centimeters long, 8 centimeters wide, and 6 centimeters tall. The top tier is a cube with edges of 4 centimeters each. What is the volume of each tier and of the entire cake?
Answers
Answer:
Formula
Volume of a rectangular prism = width × length × height
Bottom Tier
volume = 12 × 18 × 8
= 1,728 cm³
Middle Tier
volume = 8 × 12 × 6
= 576 cm³
Top Tier
volume = 4 × 4 × 4
= 64 cm³
Entire Cake
Volume = bottom tier + middle tier + top tier
= 1728 + 576 + 64
= 2,368 cm³
can some help me figure this out
Answers
Answer:
e
Step-by-step explanation:
e
Mary’s trapezoid-shaped garden has a perimeter of 24 yd. She knows the length of three of the sides, 3 yd, 6 yd, and 9 yd.
What is the length of the fourth side?
Choose...
Answers
Answer:
6
Step-by-step explanation:
to find the perimeter of a trapezoid you add all the sides together
therefore we do it backwards
24-3-6-9=6
Solution :-
We know that perimeter is the sum of all sides, and here we have been provided with perimeter and the length of three sides. Now, we can assume the length of other side as any variable, say x. And develop a linear equation, and solve it. Thus,
A/Q,
→ 3yd + 6yd + 9yd + x = 24yd
→ 18yd + x = 24yd
→ x = 24yd - 18yd
→ x = 6yd
Thus, the length of the fourth side is 6yd.
Hope that helps :)
Find x Mean = 12 {18, 15, 18, 3, 3, 19, 12, x}
Answers
Answer:
x = 8
Step-by-step explanation:
The mean is the average of the population.
Multiplying the mean by 8 terms will get you the total sum.
12 * 8 = 96
Subtracting all the values from the total sum should get you x.
96 - 18 - 15 - 18 - 3 - 3 - 19 - 12 = 8
A train leaves Philadelphia at 2:00 PM. A second train leaves the same city in the same direction at 4:00 PM. The second train travels
52 mph faster than the first. If the second train overtakes the first at 6:00 PM, what is the speed of each of the two trains?
Answers
Answer: First train speed shall be 42 mi/hr
Second train speed shall be 84 mi/hr
Yes it is the valid answer, it gets annoying when almost everyone enters the wrong answer for a good laugh. Either way, hope this helps! Have a spectacular day.
Step-by-step explanation:
What is the 1st train's head start in miles?
Let +s+ = the speed of the 1st train in mi/hr
From 2PM to 4PM is 2 hrs
+d%5B1%5D+=+s%2A2+
---------------------
Let +d+ = distance the 2nd train travels until
it overtakes the 1st train
From 4PM to 6PM is 2 hrs
Start time when the 2nd train leaves
---------------------
Equation for 1st train:
(1) +d+-+2s+=+s%2A2+
Equation for 2nd train:
(2) +d+=+%28+s%2B42+%29%2A2+
--------------------
Substitute (2) into (1)
(1) +%28+s%2B42+%29%2A2+-+2s+=+s%2A2+
(1) +2s+%2B+84+-+2s+=+2s+
(1) +2s+=+84+
(1) +s+=+42+
and
+s%2B+42+=+42+%2B+42+
+s+%2B+42+=+84+
------------------
The 1st train's speed is 42 mi/hr
The 2nd train's speed is 84 mi/hr
---------------------------
check:
(2) +d+=+%28+s%2B42+%29%2A2+
(2) +d+=84%2A2+
(2) +d+=+168+
and
(1) +d+-+2s+=+s%2A2+
(1) +d+-+2%2A42+=+42%2A2+
(1) +d+=+84+%2B+84+
(1) +d+=+168+
If my dot plot is not skewed or symmetrical which measure of variability should I use? (15 data points) PLEASE HELP THE ASSIGNMENT IS DUE TONIGHT!
these are the data points: 5,6,7,7,7,8,8,9,9,9,9,9,10,10,11
I also need the best measure of center!
Answers
If the data is not skewed, then the mean is the best measure of center.
This then also includes the standard deviation because the standard deviation relies on the mean.
To get the mean, add up the data values:
5+6+7+7+7+8+8+9+9+9+9+9+10+10+11 = 124
Then divide by the sample size n = 15
124/n = 124/15 = 8.267 approximately
Once you determine the mean, you can then determine the standard deviation which involves a bit more complicated steps. The rough outline is:
Subtract each data value from the mean. So right off the bat, we can see how important the mean is when it comes to calculating the standard deviation.Square those differences from step one.Add up the squares to get the Sum of the Squared Errors (SSE)Divide the SSE by n-1 to get the sample variance, or divide by n to get the population variance. It will depend on context which version you go for.Apply the square root to the variance to get the standard deviation.Once again, step 1 shows how critical the mean is to finding the standard deviation. The standard deviation measures how far each value is from the mean on average. In other words, it's like a measure of the average distance from the mean.
Use of spreadsheet software is strongly recommended to keep track of everything. You can also use a standard calculator to compute the standard deviation. There are also tons of free online calculators that can help out with that as well.
-----------------------------------------------------------
If the data was skewed to one side, then the median is the better measure of center because it is not affected by outliers. The IQR (interquartile range) is used instead of the standard deviation for skewed distributions.
There is exactly 1 pair of parallel sides. 6 3 9
Answers
Answer:
Step-by-step explanation:
The given properties of one pair of parallel sides in the four sided
quadrilateral, indicates that the shape is a trapezium.
Response:
The area of the shape is 35 square unit
Area of trapezoid
1/2(Sum of parallel sides)(Height)1/2(6+9)(3)1/2(15(3))12(45)22.5units^2Nine times the sum of a number and 2 is equal to 4.
Answers
Answer:
9(n+2) = 4
Step-by-step explanation:
9(n+2) = 4
to solve for 'n' first distribute the 9 to get:
9n + 18 = 4
subtract 18 from each side to get:
9n = -14
n = -14/9
Please help with give brainliest
Answers
Answer:
9/20
Step-by-step explanation:
1/4=.25
1/5=.20
add .25 and .20 and you get .45
convert .45 into a fraction in which you can just use the fractions provided and all you got to do is match the decimal on a calculator
Hi can you show me how to do thistles and
Answers
Answer:
#6:
Step-by-step explanation:
#6
So these two angles are actually the same. Since the lines l and m are parallels and those angles are opposite from each other, they are the same.
This means you can solve for x by saying:
3x-63 = 2x+2
x = 65
#7
Since the l and m are parallels, and the angles are NOT opposite, when you add the two angles together, you should get 180 degrees
So:
(2x + 20) + (6x + 24) = 180
x = 17
Could someone help me with this
What is -x<-29?
Answers
Answer:
its positive 29 since you dividin a negative 1 and a negative divided by a negative is a positive
Step-by-step explanation:
Answer:
Assuming you're hoping to solve the inequality for x, x > 29
Step-by-step explanation:
When dividing both sides of an inequality by -1, the sign will be reversed. In this case, the sign will change from a less than to a greater than, meaning -x < -29 => x > 29.
As Juan continued his hitting practice showing off his abilities, one of the balls flew over the center field stands and into the parking lot. “Did you see that shot”, he yelled at the girls. “The ball hung in the air for at least 10 seconds”, he exclaimed.
The formula for this hit is:
h(x−) = 16+x2 8+3x 4 where h is the height of the ball and x is the number of seconds the ball is in the air.
I need help with part B
Answers
Answer:
A. Find h(10) = 0 . . . (it is not)
B. h(5.235) = 0; hang time was about 5.235 seconds
Step-by-step explanation:
The hang time of the ball is the value of x in h(x) such that h(x) = 0.
__
A.Juan can show the hang time is 10 seconds by finding h(10) = 0. The value of h(10) is ...
h(10) = -16(10²) +83(10) +4 = -1600 +834 = -766 ≠ 0
Juan cannot prove the hang time was 10 seconds.
__
B.The hang time is the solution to ...
h(x) = 0
-16x² +83x +4 = 0 . . . . . use the given expression for h(x)
x² -5.1875x = 0.25 . . . . divide by -16
x² -5.1875x +6.7275390625 = 6.9775390625 . . . . add (5.1875/2)²
(x -2.59375)² = 6.9775390625 . . . . . . . . . . rewrite as a square
x = 2.59375 ±√6.9775390625 ≈ {-0.048, 5.235} . . . . square root, find x
The hang time of the ball was about 5.235 seconds.
__
We like a graphing calculator for finding a quick solution to questions like this.
What are the coordinates of the point on the directed line segment from (-1, -1) to
(5,-5) that partitions the segment into a ratio of 1 to 3?
Answers
The partitions involves dividing the line into subsegments
The coordinate of the point on the directed line segment is (0.5,-2)
How to partition the line?The given parameters are:-
line segment = (-1, -1) to (5,-5)
Segment ratio = 1 : 3
The coordinates of the partition is calculated as:
[tex](x,y) = (\frac{mx_2 + nx_1}{m+ n},\frac{my_2 + ny_1}{m+ n})[/tex]
Substitute known values
[tex](x,y) = (\frac{1 *5 + 3 * -1}{1+ 3},\frac{1 *-5 + 3 * -1}{1+ 3})[/tex]
Evaluate the products
[tex](x,y) = (\frac{2}{4},\frac{-8}{4})[/tex]
Evaluate the quotients
[tex](x,y) = (0.5,-2)[/tex]
Hence, the coordinate of the partition is (x,y) = (0.5,-2)
Read more about line partitions at:
https://brainly.com/question/12959377
i need help on a math question thank u
Answers
Answer:
XZ is longer than XY
Step-by-step explanation:
First we can notice all of the answers consist of knowing the lengths, so we must now find the lengths for each segment. To do this, we must use the pythagorean theorem.
(1, -1) and (-5, -5)
-5- -1 = -4
-5-1 = -6
-4^2+-6^2 = c^2
16+36 = c^2
52 = c^2
7.21110255 = c
So, the length of XZ is 7.21110255 units long
(1, -1) and (8, -2)
8-1 = 7
-2--1 = -1
7^2+-1^2 = c^2
49+1 = c^2
50 = c^2
7.07106781 = c
So, the length of XY is 7.07106781 units long.
XZ is longer than XY
Find the volume of the given prism.
Ans:60cm^3
Answers
Answer:
60 cm³
volume of triangular prism : area of base * Length
Given:
side of triangle : 4 cmside of triangle : 3 cmangle between 4 cm and 3 cm : 90°Length : 10 cmFind area of base:
[tex]\rightarrow \sf \dfrac{1}{2} * side \ 1 \ * side \ 2 \ * \ sin (\theta)[/tex]
[tex]\rightarrow \sf \dfrac{1}{2} *\ 4 \ * \ 3 \ * \ sin (90)[/tex]
[tex]\rightarrow \sf 6 \ cm^2[/tex]
Volume :
A * L6 * 1060 cm³Answer:
60 cm³
Step-by-step explanation:
To calculate the volume of the prism, we need to find the area of the triangle and multiply it by the height of the prism.
⇒ Volume of prism = Area of triangle × Height of prism
Find the area of the triangle
⇒ Volume of prism = (Area of triangle) × Height
⇒ Volume of prism = (1/2 × Base × Altitude) × Height of prism
⇒ Volume of prism = (1/2 × 3 × 4) × Height of prism
⇒ Volume of prism = (3 × 2) × Height of prism
⇒ Volume of prism = 6 × Height of prism
Substitute the height in the volume
⇒ Volume of prism = 6 × Height of prism
⇒ Volume of prism = 6 × 10
Solve for the volume.
⇒ Volume of prism = 6 × 10
⇒ Volume of prism = 60 cm³
Which table models the graph shown below? HELP PLS
Answers
Answer:
A?
Step-by-step explanation:
I honestly am guessing here but i think its A take my answer with a grain of salt
true or false? criminal cases cannot be brought before a jury trial
Answers
Answer:
Step-by-step explanation:
True
What is the radius r of a circle with the circumference C of length 48.6 m
Answers
Answer:
r = 24.3/π m
r = 7.73 m
Step-by-step explanation:
C = 2πr
48.6 m = 2 × π × r
r = 48.6/(2π) m
r = 24.3/π m
r = 7.73 m
Pls show work I can't understand
Answers
Answer:
I don't think that is possible because absolute value cant equal negative number, symbol would be ∅ if that is true
Step-by-step explanation:
i don't have one
If George went camping 15 times, how could you figure out how many times Dave went camping?
Answers
Answer:
no you couldnt
Step-by-step explanation:
please help I will mark BRAINLIEST
Answers
Answer:
Your answer is t>28
Have a nice day!
mark as brainliest
Answer:
T>28
Step-by-step explanation: