∠C and ∠D are vertical angles
so <C = <D because vertical angles are equal
Substitute
−3x + 58 = x−2
Solve for x
Subtract x from both sides
-4x + 58 = - 2
Subtract 58 from both sides
-4x = - 60
Divide both sides by -4
x = 15
<D = x−2 = 15 - 2 = 13
Answer
<D = 13°
Answer:
The measure of angle D is 13°
Step-by-step explanation:
-3x+58=x-2
+3x to each side
58=4x-2
Add 2 to each side
60=4x
Divide each side by 4
X=15
Now substitute that in:
-3(15)+58=13
(15)-2=13
The measure of angle D is 13°
What is the constant of proportionality to. 2.5x
A rectangular field is 300 meters long and 250 meters wide. What is the area of the field in square kilometers
The area of the field is obtained by multiplying length by width resulting 75,000 square meters. Converting this to square kilometers by dividing by 1,000,000 gives the area in square kilometers as 0.075 km².
Explanation:To calculate the area of the rectangular field, we multiply the length by the width. Given that the length is 300 meters and the width is 250 meters, the area in square meters would be 300 meters * 250 meters = 75,000 square meters.
Keep in mind that 1 square kilometer (km²) is equivalent to 1,000,000 square meters (m²). So, to convert the area from square meters to square kilometers, we divide the area in square meters by 1,000,000. Therefore, the area of the field in square kilometers is 75,000 m² / 1,000,000 = 0.075 km².
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Which graph represents the solution set of the system of inequalities?
{y≥1/3x−3
{y<−3x−3
The answer would be the choice at the bottom right corner!
I'm positive the answer is correct! :)
7. Lakeisha is designing a rectangular sunroom. She wants the room to be 14 feet wide and have a perimeter that is greater than 108 feet. Select all of the possible lengths of lakeisha’s sunroom. A. 14 feet b. 27 feet c. 40 feet d. 54 feet e. 60 feet
We are required to find all the possible length of lakeisha’s sunroom
The possible length of the rectangle are length greater than 40 which are 54 feet and 60 feet
perimeter of a rectangle = 2(length + width)
perimeter > 108 feet
Width of the sunroom = 14 feet
The inequality:
2(x + 14) > 108
2x + 28 > 108
2x > 108 - 28
2x > 80
divide both sides by 2
x > 80 / 2
x > 40 feet
Therefore, the possible length of the rectangle are length greater than 40 which are 54 feet and 60 feet
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Bob earns $9 an hour babysitting. One night he earned $47.25 for babysitting. How many hours did he babysit that night?
If a insect is 0.095 long how long is it if looking through a microscope 100 times how long would the insect be
9.5.....................
Luiza runs a lawn-mowing business she decides to measure the rate at which the volume of fuel she uses increases with the area of the lawn what can be an appropiate unit for luiza's purpose
Answer:
[tex]\frac{Gallons}{Feet^{2} }[/tex]
Step-by-step explanation:
We have been told that Luiza runs a lawn-mowing business she decides to measure the rate at which the volume of fuel she uses increases with the area of the lawn and we are asked to determine an appropriate unit for Luiza's purpose.
Since we can represent rate of units as [tex]\frac{Dependent Variable}{Independent Variable}[/tex]
We can see that in this case dependent variable is amount of fuel used in lawn-mowing and area of lawn is independent variable.
We know that we can represent volume of fuel as gallons and area of lawn as square feet.
Therefore, appropriate unit for Luiza's purpose is [tex]\frac{Gallons}{Feet^{2} }[/tex].
Answer:
L/KM^2
Step-by-step explanation:
2.8 x 100 miles high. What is the approximate area of wyoming?
Assuming a regularly shaped rectangle, the formula for the area is given as:
A = L * W
where L and W are the length and width respectively
A = 3.6 x 10^2 miles * 2.8 x 10^2 miles
A = 100,800 square miles
or
A = 10.08 x 10^2 miles
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What is a correct congruence statement for the triangles shown?
Enter your answer in the box.
△ ______≅△NKW
For this one, look at the symbols inside each angle. In math, the rounded edges inside of angles mean they are congruent. So find which ones have the same amount of rounded edges and that would be your answer.
NKW ≅ UZE
put the corresponding angles in the middle. Since the object you were comparing to had the one line as the middle point, then that is your middle as well.
Hope this helps! Comment with any questions you may have.
Answer:
[tex]\Delta UZE\cong \Delta NKW[/tex]
Step-by-step explanation:
We have been given a graph of two triangles and we are asked to find the correct congruence statement for our given triangles.
We can see in triangle NKW and triangle UZE.
[tex]EZ\cong WK[/tex],
[tex]\angle ZEU\cong \angle KWN[/tex],
[tex]\angle UZE\cong \angle NKW[/tex].
Since two angles and included side of triangle NKW is congruent to two angles and their included side of triangle UZE, therefore, [tex]\Delta UZE\cong \Delta NKW[/tex] by Angle-Side-Angle congruence theorem.
Please help asap 25 pts
The answer would be B because since -8 is negative, you would flip its sign
its d. i know this ive done it before
For carolina birthday her mom took her and 4 friendse to a waterpark.Carolina mom paíd 40 for 5 students tickets.What was the price for one student ticket
40 dollars per 5 students=9 dollars per 1 student
divide both sides by 5.
What is half of 5 3/4?
-(2)/(5)x-9<(9)/(10)
step by step please <3
[tex]-\dfrac{2}{5}x-9<\dfrac{9}{10}\qquad|\text{multiply both sides by 10}\\\\10\cdot\left(-\dfrac{2}{5}x\right)-10\cdot9<10\cdot\dfrac{9}{10}\\\\2(-2x)-90<9\qquad|\text{add 90 to both sides}\\\\-4x<99\qquad|\text{change the signs}\\\\4x>-99\qquad|\text{divide both sides by 4}\\\\x>-24.75[/tex]
please help on this one ?
y [25, 100] is the range of the population of Blue Whales off the coast of Antarctica from months 5 to 10.
Therefore, the correct answer is:
C. y [25, 100]
Here,
To find the range of the population of Blue Whales off the coast of Antarctica from months 5 to 10,
we need to determine the minimum and maximum values of the population during this period based on the graph.
From the graph, we can see that the population values are between approximately 25 and 100 (inclusive) during months 5 to 10.
The square brackets [ ] denote that the endpoints are included in the range.
so, we get,
y [25, 100] is the range of the population of Blue Whales off the coast of Antarctica from months 5 to 10.
Therefore, the correct answer is:
C. y [25, 100]
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On six books shelves there are 72 books per shelf.How many books are there altogether? If 1/3 of these are non-fiction how many fictional books are there?
Given:
Total shelves: 6
Books per shelve: 72
Total books = ?
Solution:
Total books: 6 * 72 = 432
Total books = 432
Part 2:Given:
Fiction books = 1/3 of total books
Solution:
Nonfiction books = Total books - 1/3 of total books
= 432 - 1/3 * 432
= 432 - 166 = 266
Non- fiction books = 266
Simplify. (h + 12) + (p +24) a) hp + 288 b) hp + 36 c) 12h + 24p d) h + p + 36
(h+12) + (p+24)
h+p+12+24 = h+p+36
Answer:
12h + 24p
Step-by-step explanation:
Please help me!!! will give you brainlest.
4. The translation is considered an isometry or rigid motion. The figure's size, shape, area, etc has not changed. The only thing that changed is its position.
5. The rule stated means you shift the point 3 units to the right and 4 units up.
6. The rule would be (x,y) ---> (x-1, y-3) so we effectively subtract 1 from the x coordinate; subtract 3 from the y coordinate
7. Add 2 to the x coordinate to get x+2 = 2+2 = 4. Subtract 1 from they coordinate and we have 5-1 = 4. The point ends up at (4,4). Check out the attached image below.
What is 9 x 200 in another way? Is it 18 ones, hundreds, tens, of thousands?
Answer: 18 hundreds
Step-by-step explanation:
9 x 200
= 9 x 2 x 100
= 18 x 100
= 1800
aka: 18 hundreds
Please help quick!!!!
Solve by factoring 2x squared -6 = x squared+48
x = ± 3√6
2x² - 6 = x² + 48 ( subtract x² from both sides )
x² - 6 = 48 ( add 6 to both sides )
x² = 54 ( take the square root of both sides )
x = ± √54 = ± 3√6
What is -8+5i. NamrvComplex conjugate and compute the product
Numerical expression for the difference between 72 and 16
Answer:
72-16
Step-by-step explanation:
Difference is represented by the subtraction of 2 numbers. If we want to represent the difference of 2 numbers, we need to subtract one number from the other number.
The blueprint for landscaping a yard has a scale of 1/2" to 1 foot. If the bloeprint is a rectangle 18inches by 22 inches, what are the dimensions of the yard
Answer:
36x44 feet are the dimensions of the yard.
Step-by-step explanation:
Given that the blueprint for landscaping a yard has a scale of 1/2" to 1 foot.
i.e. scaling factor is 1/2 for one foot.
If real dimension is 1 foot, it is shown as 1/2 inch in blue print.
Using this we can find the real dimensions if given blue print dimensions.
The blueprint is a rectangle 18inches by 22 inches,
Hence real length of rectangle = 18(2) feet = 36 feet
Width of rectangle = 22(2) = 44 feet
i.e. the yard has dimensions as 36x44 feet.
In one study, it was found that the correlation coefficient between two variables is -0.93.
Which statement is true?
A. There is a weak positive association between the variables.
B. There is a weak negative association between the variables.
C. There is a strong positive association between the variables.
D. There is a strong negative association between the variables.
the answer is d (i think) because anything aboveboard .90, whether it is positive or negative
Answer: D. There is a strong negative association between the variables.
Step-by-step explanation:
We know that when the value of the correlation coefficient lies between -1 to -.05 , then we say there is strong negative correlation between the variables.
OR
When the value of the correlation coefficient lies between 0.5 to 1, then we say there is strong positive correlation between the variables.
Given : In one study, it was found that the correlation coefficient between two variables is -0.93.
∵ -1< -0.93 <-0.5
Then , it indicates that there is a strong negative association between the variables.
Julia has 2 identical rooms in her house. If each room measures 8 feet on one side and 12 feet on another, what is the total area of the rooms?
Answer
192 ft²
Explanation
The rooms measures 12 feet by 8 feet. So it is a rectangle.
The area of a rectangle = length × width
= 12 × 8
= 96 ft²
The area of one room is 96 ft². There are 2 similar rooms.
The area of the 2 rooms = 96 × 2
= 192 ft²
What is the lateral area of the cylinder?
A. 515.01 ft.2
B. 615.85 ft.2
C. 622.04 ft.2
D. 625.25 ft.2
Lateral area = circumference of circular end * length
= pi * diameter * length
= 22 * pi * 9
= 198 pi
= 622.04 ft^2 answer Its C
A photographer is printing a photograph for a client. The ratio of the photograph’s width to its length is 8:10. The client wants a smaller version of the photograph printed, but the ratio of the width to the length needs to stay the same.
If the length of the printed photograph is 5 inches, what should the width be?
3 inches 4 inches 6 inches 7 inches 8 inches
The ratio is 4:5
because 8 divided by 2 is 4
and 10 divided by 2 is 5
so the answer as said before is 4:5
I hope this helps :)
Answer:
Step-by-step explanation:
4 inches
WILL GIVE BRAINLIST. ANSWER ASAP.
Each week, Lucia earns $x working at a store and receives $20 babysitting. To find how much she will earn in total over 4 weeks, Lucia calculates: x + 20 + x + 20 + x + 20 + x + 20
What is another way Lucia can calculate how much she will earn in total over the 4 weeks?
Drag and drop the equivalent expression in the box.
1. 4x + 20
2. x + 20
3. .x + 80
4. 4(x+20)
The Answer would be 4. 4(x+20)
Is this statement true or false? The Symmetric Property of Equality lets you exchange the expressions on each side of the equals sign.
Ben has 3 times as many guppies as goldfish.If he had a total of 20 fish,how many guppies does he have
Answer: 60 Guppies.
Step-by-step explanation: If Ben has 3 times as much guppies as goldfish then it is 3 x 20 which = 60.