We know the angles in a triangle sum to 180 degrees. Thus, we can write:
\(\angle1+\angle2+\angle3=180\)Also, we know straight line is 180 degrees. Thus we can write:
\(\angle1+\angle4=180\)Putting these 2 equations together, we have:
\(\begin{gathered} 180=180 \\ \angle1+\angle2+\angle3=\angle1+\angle4 \\ \therefore\angle2+\angle3=\angle4 \end{gathered}\)Now, we substitute the known expressions for the angles and solve for x:
\(\begin{gathered} \angle2+\angle3=\angle4 \\ \frac{4}{3}x+20=2x \\ 2x-\frac{4}{3}x=20 \\ \frac{2}{3}x=20 \\ x=\frac{20}{\frac{2}{3}} \\ x=20\times\frac{3}{2} \\ x=30 \end{gathered}\)The area of a parallelogram is 40 square inches. The base of the parallelogram is 5 inches. What is the height of the parallelogram? Explain how you can use the formula for the area of a parallelogram to solve the problem.
The height of the parallelogram is 8 inches. By using the formula for the area of a parallelogram, we were able to find the missing value (height) by rearranging the formula and plugging in the given values.
To find the height of the parallelogram, we can use the formula for the area of a parallelogram, which is Area = Base × Height (A = b × h). In this problem, the area (A) is given as 40 square inches, and the base (b) is 5 inches. We need to find the height (h).
Using the formula, A = b × h, we can plug in the given values:
40 = 5 × h
To solve for h, we can divide both sides of the equation by 5:
40 ÷ 5 = 5 × h ÷ 5
8 = h
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A random sample of 40 college professors is selected from all professors at a university. The following list gives their ages.
64, 40, 45, 43, 33, 50, 47, 49, 42, 28, 55, 64, 55, 41, 65.
64, 50, 45, 51, 23, 35, 64, 43, 45, 37, 37, 47, 34, 27, 49,
62, 39, 35, 44, 23, 36, 42, 34, 32, 52.
D
The required leaves values for the given stems are calculated below.
What is Stem-and-Leaf plot?A plot where every information esteem is parted into a "leaf" (typically the last digit) and a "stem" (different digits). For instance "32" is parted into "3" (stem) and "2" (leaf). The "stem" values are recorded down, and the "leaf" values are recorded close to them.
For example , 42, 34, 48, and so on.
Here 42 and 48 qualities will be written in stem 4 as their most memorable digit is 4, while 2 and 8 will be placed in the leaf side.
Likewise, 3 will be the stem, and 4 will be the leaf for esteem 34.
4| 2, 8
3| 4
According to question:65, 40, 47, 47, 33, 55, 44, 49, 46, 22, 58, 65, 56, 41, 63, 65, 54, 42, 58, 29, 39, 66 , 49, 42, 34, 36, 42, 35, 21, 44, 61, 35, 33, 42, 27, 30, 46, 33, 35, 58.
As given in the question that the stem and Leaves are to be separated by a hyphen.
Stem-and-Leaf plot 6 - 5, 5, 3, 5, 6, 1
5 - 5, 8, 6, 4, 8, 8
4 - 0, 7, 7, 4, 9, 6, 1, 2, 9, 2, 2, 4, 2, 6
3 - 3, 9, 4, 6, 5, 5, 3, 0, 3, 5
2 - 2, 9, 1, 7
As we can see above there are 5 stems, where stem 6 has 6 leaves, stem 5 has 6 leaves, stem 4 has 14 leaves, stem 3 has 10 leaves, and stem 2 has 4 leaves.
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Which table matches with the linear equation y = - 2x - 3?
X-
20
-1-3
35
0-8
X-2-1
y 1-1-5
4
-11
2
X-4-1
y 1-2 3
-5
X
-503 6
2 -3 -6-9
y
Answer:
b
Step-by-step explanation:
which of the following is true about y=2
To identify the slope and y intercept, writet the equation in slope inctercept form (y=mx+b). Solve the y:
add 6x in both sides of the equation:
\(\begin{gathered} 2y-6x+6x=6x+10 \\ 2y=6x+10 \end{gathered}\)Divide both sideds of the equation into 2:
\(\begin{gathered} \frac{2y}{2}=\frac{(6x+10)}{2} \\ \\ y=\frac{6}{2}x+\frac{10}{2} \\ \\ y=3x+5 \end{gathered}\)In y=mx+b. the m is the slope and b is the y-intercept.
For the given equation: slope is 3 and y intercept is 5Write an expression for the sequence of operations described below.
raise 6 to the 8th power, then add r to the result
Do not simplify any part of the expression.
Answer:
No entiendo por qué está en ingles
The lateral surface area of cone A is exactly 1/2 the lateral surface area of
cylinder B.
OA. True
OB. False
Answer:
B. False
Step-by-step explanation:
You want to compare the lateral surface areas of a cone and cylinder, where the slant height of the cone is twice the height of the cylinder. Your proposition is that the cone's lateral area is half that of the cylinder.
Cone lateral areaEffectively, the lateral area of a cone is the area of a triangle whose base is the circumference of the cone, and whose height is the cone's slant height. The formula for the lateral area of a cone of radius r and slant-height s is ...
A = πrs
For the given dimensions (s=2h), the lateral area is ...
A = πr(2h) = 2πrh
Cylinder lateral areaThe lateral area of a cylinder is the area of a rectangle whose base is the circumference of the cylinder, and whose height is the cylinder's height. The formula for the lateral area of a cylinder of radius r and height h is ...
A = 2πrh
ComparisonThe lateral areas of the given figures are both 2πrh, so one is not half the other.
The proposition is False.
5a + y = 18
a +y =6
What is a and y
Answer:
a=3 y=3
Step-by-step explanation:
18-3 = 15 15/3= 5
please help asap math question
help pls im not sure
The area of the parallelogram for this problem is given as follows:
A = b x h
A = 2 x 6
A = 12 yd².
How to calculate the area of a parallelogram?The area of a parallelogram can be calculated using the following formula:
Area = base x height
In which:
The base is any one of the parallel sides of the parallelogram. The height is the perpendicular distance between the base and the opposite parallel side.The parameters for this problem are given as follows:
b = 2 yd, h = 6 yd.
Hence the area is given as follows:
A = b x h
A = 2 x 6
A = 12 yd².
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Desperate Need Of Help
The domain and range of the graph above in interval notation include the following:
Domain = [-6, 3]
Range = [-3, 3]
What is a domain?In Mathematics and Geometry, a domain refers to the set of all real numbers (x-values) for which a particular function (equation) is defined.
In Mathematics and Geometry, the horizontal portion of any graph is used to represent all domain values and they are both read and written from smaller to larger numerical values, which simply means from the left of any graph to the right.
By critically observing the graph shown in the image attached above, we can reasonably and logically deduce the following domain and range:
Domain = [-6, 3] or -6 ≤ x < 3.
Range = [-3, 3] or -3 < y < 3
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what are 70 coins that equal $1
(HELP THIS IS TIMED!)
Which situations can represent the expression n+2? Check all that apply.
Ramya's grade increased by two points
the difference between Escher's highest score and two
the number of chapters Wally read plus two more
two fewer than the maximum number of absences Ellie is allowed
two added to Allison's age.
the sum of Mikel's height and two
Answer:
1,3,5,6
Step-by-step explanation:
Sorry I didn't get to this in time, but if you see this, please give me brainliest, apariently I need it to get to the next answer. Thank you for your time.
HELPPPP PLEASEEEEEEEEWEE HELPPPPPPPP
Answer:
calculate the rise over the run.
therefore, it's -8/7
Topic: coordinate geometry
If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!
Question 8(Multiple Choice Worth 2 points)
(Writing Two-Step Equations MC)
A new gaming chair costs $455.95. You have already saved $155.95 and earn $37.50 each week babysitting. Write and solve an equation to determine how many weeks, w, you must babysit to earn enough money to buy the new gaming chair.
37.5 + 155.95w = 455.95; w = 8
37.5w + 155.95 = 455.95; w = 8
37.5w − 155.95 = 455.95; w = 16
37.5w − 455.95 = 155.95; w = 16
37.5w + 155.95 = 455.95; where w = 8; signifies the number of weeks required to babysit the business in order to purchase the gaming chair.
How do equations work?A mathematical formula that connects two expressions with the equals sign (=) expresses the equality of the two expressions. For instance, in English, an equation is any properly stated formula that consists of two expressions linked by the equals sign, whereas in French, an equation is described as containing one or more variables. To solve a variable equation, identify the values of the variables that cause the equality to hold true. The answer is known as the values of the variables that must satisfy the equality.
Equations can be categorized as identities or conditional equations.
w = (455.95-155.95)/(37.50)
=300/37.50
=8
So, number of weeks = 8
As a result, w = 8 and 37.5w + 155.95 = 455.95 is the solution.
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The parabola X= √y-9 opens: right left down up?
The parabola x = √(y - 9) opens upwards.The given parabolic equation is x = √(y - 9). Let's identify the direction of opening of this parabola.The general form of the equation of a parabola is y = a(x - h)² + k.
Comparing this to the given equation, we can see that h = 0 and k = 9. The vertex is therefore (h, k) = (0, 9). Now, let's determine whether the parabola opens upwards or downwards.
If the coefficient of (x - h)² is positive, the parabola opens upwards, and if it's negative, the parabola opens downwards. In this case, since the coefficient of (x - h)² is 1, which is positive, the parabola opens upwards.
Therefore, the parabola x = √(y - 9) opens upwards.
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Help me i will give best answer to correct answer.
Answer:
x=3 and y=3
Step-by-step explanation:
Como se trasluce esta ecuación 3x+2=9
Answer:
11/3
Step-by-step explanation:
1 Suma 22 a ambos lados.
3x=9+2
3x=9+2
2 Simplifica 9+29+2 a 1111.
3x=11
3x=11
3 Divide ambos lados por 33.
x=\frac{11}{3}
x=
3
11
X-12=12+12+12+12
What is x if x>12
Answer:
x=60
Step-by-step explanation:
1. Add all the 12's on the right side together = 48
2. then you add the 12 on the left side to the right side to make it = 60
3. X=60!
HOPE THIS HELPS
Answer:
x = 60
Step-by-step explanation:
12+12+12+12=12*4=48 48+12=60=x
the reason I added another 12 is because it said x minus 12
Help !!!!!!! I’m struggling with this question
a^2=b^2+c^2
×=11; a^2=(6×11+7)^2+(3×11)^2
a^2=6418
so the length is estimately 80.11
Given that P = 3 express the equation 3(2-1)+2x 3 (-1) = 1 in terms of P hence or otherwise find the value of y in the equation 3(2y-1)+2 x 3 (y-1)=1
If P = 3 express the equation 3(2-1)+2x 3 (-1) = 1 in terms of P hence or otherwise. the value of y in the equation 3(2y-1)+2 x 3 (y-1)=1 is 5/6.
How to find the value of y?Substituting P = 3 into the given equation, we get:
3(2-1) + 2x3(-1) = 1
Simplifying the left-hand side of the equation, we get:
3 + (-6) = 1
Therefore, the equation is not true when P = 3.
To solve the second equation, we can substitute 3 for P and simplify as follows:
3(2y-1)+2x3(y-1)=1
6y - 3 + 6y - 6 = 1
12y - 9 = 1
12y = 10
y = 10/12
Simplifying this fraction, we get:
y = 5/6
Therefore, the value of y in the equation 3(2y-1)+2 x 3 (y-1)=1 is 5/6.
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Graph the solution to the equations below. y = 1 4 x + 2 and y = −2x −7
Trova la primitiva della funzione f(x)= xì2-2x+1 che ha un flesso di ordinata 4/3
Answer:
cioè x ≥ 1; si avrà pertanto x > 0
Step-by-step explanation:
EXERCISE 2. Risolvere le seguenti disuguaglianze:
(1) | x−1 |< 3
(2) | x+1 |> 2
(3) | 2x+1 |< 1
(4) | x−1 |<| x+1 |
Caso: (a): | x−1 |< 3, risolvo
x−1 < 3
x ≥ 1
∪
−x+1 < 3
x < 1
, si avrà quindi
x < 4
x ≥ 1
cioè 1 ≤ x < 4 e
x > −2
x < 1
cioè −2 < x < 1. L’unione tra le due dà la soluzione −2 < x < 4
Caso: (b):
x+1 > 2
x ≥ −1
∪
−x−1 > 2
x < −1
, si avrà quindi
x > 1
x ≥ −1
cioè x > 1 e
x < −3
x < −1
cioè x < −3,
pertanto x < −3 ∪ x > 1
Caso: (c):
2x+1 < 1
x ≥ −1
2
∪
−2x−1 < 1
x < −
1
2
, si avrà quindi
x < 0
x ≥ −1
2
cioè −
1
2 ≤ x < 0 e
x > −1
x < −
1
2
cioè
−1 < x < −
1
2
. pertanto −1 < x < 0
Caso: (d): in questo caso,
−x+1 < −x−1
x < −1
∪
−x+1 < x+1
−1 ≤ x < 1
∪
x−1 < x+1
x ≥ 1
, si avrà quindi
0 < −2
x < 1
cioè non si hanno soluzioni e
x > 0
−1 ≤ x < 1
cioè 0 < x < 1 e
0 < 2
x ≥ 1
cioè x ≥ 1; si avrà pertanto x > 0
A painting contractor determined the average amount of time needed to paint a house.
- When 2 painters are used, it takes 15 hours to paint
- When 6 painters are used, it takes 5 hours to paint.
If p represents the number of painters and h represent the number of hours required to paint the house, which statement is true about this relationship?
F. The time required to paint a house varies directly with
the number of painters because h = 30p.
G. The time required to paint a house varies directly with
the number of painters because ph = 30.
H. The time required to paint a house varies inversely
with the number of painters because h = 30p.
J. The time required to paint a house varies inversely
with the number of painters because ph = 30.
A painting contractor determined the average amount of time needed to paint a house.
- When 2 painters are used, it takes 15 hours to paint
- When 6 painters are used, it takes 5 hours to paint.
If p represents the number of painters and h represent the number of hours required to paint the house, which statement is true about this relationship?
F. The time required to paint a house varies directly with
the number of painters because h = 30p.
G. The time required to paint a house varies directly with
the number of painters because ph = 30.
H. The time required to paint a house varies inversely
with the number of painters because h = 30p.
J. The time required to paint a house varies inversely
with the number of painters because ph = 30.
During his first vet visit, Pedro's puppy weighed
6 pounds. On his second visit, he weighed
91 pounds. How much weight did he gain
between visits?
Answer:
85 pounds
Step-by-step explanation:
did the dog not go to the vet in like 2 years??? anyways its 91-6
Peter had 208 Canadian stamps and 186 Mexican stamps for sale. The stamps were mixed up and sold in packets of 6. How many packets of stamps were there? How many stamps were left over?
Answer:
65 packets and 4 stamps
Step-by-step explanation:
The first thing we see is that the stamps are mixed... which means they must be added.
208 + 186 = 394 stamps total
Now we see that each packet has 6 stamps. So we divide the number of stamps in total by 6.
394/6= 65.66667
Now we see from that number that the stamps can't quite make 66 packets, so there are 65 packets.
Now we find the number of stamps left over by multiplying the number of packets by 6.
65 x 6= 390
Now we take the total number of stamps minus the number of stamps in packets.
394 - 390 = 4
Therefore, there are four stamps left over.
Hope this helps!
Find the volume of the cube 8cm
Answer:
512 cm^3
Step-by-step explanation:
The side length is 8 cm
V = s^3 where s is the side length
V = 8^3
=512 cm^3
Answer: 512 cm³
Explanation: Since the length, width, and height of a cube are all equal,
we can find the volume of a cube by multiplying side × side × side.
So we can find the volume of a cube using the formula v = s³.
In the cube in this problem, we have a side length of 8 cm.
So plugging into the formula, we have (8 cm)³
or (8 cm)(8 cm)(8 cm), which is 512 cm³.
So the volume of the cube is 512 cm³.
Indigo went shopping for a new pair of sneakers. Sales tax where she lives is 3.75%. The price of the pair of sneakers is $20. Find the total price including tax. Round to the nearest cent.
Step-by-step explanation:
price=$20tax rate=$3.75multiply the price with rate and you will get tax the add it to the real pricetotal price incl. tax= 20+(20*3.75/100)=20.75there is your answer...The total price of sneakers including tax will be equal to $20.75.
What is the Percentage?The Latin phrase "per centum," which means "by the hundred," is where the English word "percentage" comes from. Percentage segments are those with a numerator of 100. In other words, it is a connection where the whole is always deemed to be valued 100.
As per the given information in the question,
Price of sneakers = $20
Tax on sneakers = 3.75%
Then, the amount of tax will be,
(20 × 3.75)/100
= 75/100
= $0.75
Then, the total price of the sneakers will be,
$20 + $0.75
= $20.75
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Find the weight of a 176-cm male to the nearest kg whose BSA = 2.3.
The weight of the male that has a body surface area of 2.3 would be = 108kg
What is Body Surface Area (BSA)?The body surface area (BSA) is defined as the parameter that can be used to estimate the surface area of a person's body based on body weight and height.
The formula for BSA = √w×h/3600
The weight of the male = X
The height of the male = 176cm
The BSA = 2.3
From the formula, make w the subject of formula;
w = BSA²× 3600/h
w = 2.3²× 3600/176
w= 5.29×3600 /176
w = 19044/176
w = 108kg
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PLEASE HELP! IM LIKE STUCK AND I NEED HELP! YOU'LL GET 50 POINTS !!!!
Answer:
5m + 9n + 46
Step-by-step explanation:
5m +10 +9n +36
(i did that by distributing from parenthesis)
5m + 9n + 46
(i just simplified by adding 10 and 36)
Expressions equivalent to 7(-3/4x-3)
Answer:-5.25x-21
Step-by-step explanation:7 * -3/4x = -5.25x
7 * -3 = -21
7(-3/4x-3)= -5.25x - 21