If the m<7 = 115 degrees, find the measure of <2
Answer:
The measure of [tex]\angle 2[/tex] is 115°.Step-by-step explanation:
Now, assuming those angles are supplementary, then
[tex]m\angle 7+ m \angle 2=180\°[/tex]
Beacuse, sumplementary angles sum 180\°, due to their position on a straight angle.
We know by given that [tex]m \angle 7 =115\°[/tex], replacing this value, we have
[tex]115\°+ m\angle 2= 180\°\\m \angle 2=180\° - 115\°\\m \angle 2= 65\°[/tex]
Therefore, the measure of [tex]\angle 2[/tex] is 115°.
The measure of m<7 is equal to the measure of m<2 by alternate exterior angle. The measure of <2 is 115 degrees.
What are the angles formed by the transverse line cut by the transversal?Angles formed by the transverse line cut by the transversal-
Corresponding angle- Corresponding angle keeps the same position on two different parallel line when cut by transverse. Alternate interior angle- This angle made inside the parallel lines cut by the transversal.Alternate exterior angle- This angle made outside the parallel lines cut by the transversal.Supplementary angle- Angle which made on the same line. The sum of the supplementary angle is equal to the 180 degrees.Given information-
Two parallel lines are shown in the given image (attached below).
Here the measure of angle of 7 is 115 degrees.
The angle 5 is the supplementary angle of the angle 7. Thus,
[tex]\angle 5+\angle 7 =180\\\angle 5+115=180\\\angle 5=180-115\\\angle 5=65[/tex]
Thus the measure of angle 5 is 65 degrees.
Now again the angle 5 is the supplementary angle of the angle 3. Thus,
[tex]\angle 3+\angle 5 =180\\\angle 3+65=180\\\angle 3=180-65\\\angle 3=115[/tex]
Thus the measure of angle 3 is 115 degrees.
The angle 3 and the angle 2 cuts by the same line at the opposite side. Thus, angle 3 is equal to the angle 2.
Hence. the measure of angle 2 is 115 degrees.
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A parasail is 400 feet above sea level m. Write a positive or negative integer that represents the situation
Answer:
[tex]\displaystyle 400[/tex]
Step-by-step explanation:
Anything below sea-level [below 0] is negative [−], and anything above sea-level [above 0] is positive [+].
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Given ΔABC: ΔDEF, find x.
7.2
11.25
20
18
Answer:
a
Step-by-step explanation:
Use the diagram to identify a segment parallel to HE
Two segments are called parallel if they do not intersect each other anywhere.
Here we can see that AB , CD and FG are the three line segments that are parallel to HE.
So answer is AB, CD and FG.
If five bags of mulch covers 32 square feet, how many square feet could 16 bags covers?
Answer:
102.4 square feet
Step-by-step explanation:
(32/5)*16=102.4
Final answer:
One bag of mulch covers 6.4 square feet. Therefore, 16 bags will cover 102.4 square feet.
Explanation:
To find out how many square feet 16 bags of mulch will cover, we need to first determine the coverage of one bag. If 5 bags cover 32 square feet, then one bag covers 32 ÷ 5, which equals 6.4 square feet. Multiplying the area covered by one bag by 16 bags gives us a total coverage, of 6.4 × 16, which equals 102.4 square feet. Therefore, 16 bags of mulch will cover 102.4 square feet.
What is the value of 2+3n n=1/2
A freight train is half a mile long. it travels at a speed of 60 mph. it comes to a tunnel that is 1 mile long. how long will it take the train to pass completely through
Would you just subtract the numerators like normal? Like 7-5 the answer would be 2/9
Write -1/6, 5/3, -5/6 in order from least to greatest.
A. -1/6, -5/6, 5/3
B. -5/6, -1/6, 5/3
C. 5/3, -5/6, -1/6
D. -1/6, 5/3, -5/6
A rectangular prism measuring 10m and 7m along the base and 12m tall
A rectangular prism measuring 10m and 7m along the base and 12m tall.
The volume of the rectangular prism is 840 cubic meters.
How to find the volume of a right rectangular prism?Suppose that the right rectangular prism in consideration be having its dimensions as 'a' units, 'b' units, and 'c' units, then its volume is given as:
[tex]V = a\times b \times c \: \: unit^3[/tex]
A rectangular prism measuring 10m and 7m along the base and 12m tall.
a = 10
b = 7
c = 12
The volume of the rectangular prism
= 10 x 7 x 12
= 840
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Which of the following shows the correct match of the box numbers and the genotype of the offspring?
Answer:
i forgot i mostly think its the last?
Step-by-step explanation:
John uses 9 eggs to make 5 burritos. How many burritos can he make with 27 eggs?
what is the simplified form of the following expression 6xyz/2xz
Round each number to the nearest whole number.
What is the best estimate for the sum of 317.38 82.21?
A.
410
B.
400
C.
399
D.
390
Shen took out a loan for 225 days and was charged simple interest at an annual rate of 7.3%. The total interest he paid on the loan was $117. How much money did Shen borrow?
Answer:
$2600
Step-by-step explanation:
A bicycle wheel has a radius of 13 inches.
What is the distance the bicycle will travel after 30 revolutions of the wheel?
Use 3.14 for π .
Enter your answer in the box.
Answer:
2449.2
Step-by-step explanation:
what is the value of x?
X=?
he short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than an unknown number of inches.
If the perimeter of the rectangle is 22 inches, what is the value of the unknown number?
a0 inches
Which of the following is another way to explain the Distributive Property?
1) With addition and multiplication, it doesn't matter how you group things.
2) With addition and multiplication, the operands can be moved around.
3) Multiplication distributes over addition
Jane has a checkbook balance of $68 she then writes two checks for $5 in one 46250 she also deposit $75 she then uses her calculator to determine her new balance in which of the following is a correct series of keys
Percy is plotting points on a graph. The ratio of y-value to x-value is 2 to 3 for each point. What will be the x-value of a point with a y-value of 18?
Answer: Value of x = 27
Explanation:
Percy is plotting a coordinate on the graph.
Now the ratio of y-value to x-value is 2 to 3 for each point.
Suppose Value of is 3a and y value is 2a
So, the coordinate of the point is (3a,2a)
Now we find the x value of the coordinate when value of y is 18.
2a is same as 18
2a = 18
a = [tex] \frac{18}{2} [/tex]
a = 9.
Now find the x ordinate
put the value of a=9 into 3a
3a = 3(9) = 27
So the final answer is :
Value of x = 27 when value of y = 18
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What type of association does the graph show between x and y?
A scatter plot is shown. Data points are located at 1 and 5, 2 and 4, 3 and 3, 4 and 2, 5 and 1, 6 and 0.
Linear positive association
Nonlinear positive association
Linear negative association
Nonlinear negative association
He’s rightAnswer:
Step-by-step explanation:
write an inequality for
A maximum ceiling height of 8 feet was required in the new buildings
The inequality for a maximum ceiling height of 8 feet in new buildings is expressed as h <= 8, where h is the height in feet.
To represent the maximum ceiling height of 8 feet as an inequality, we use the following expression: h <= 8, where h represents the height of a building's ceiling in feet. This inequality states that the ceiling height must be less than or equal to 8 feet to comply with the regulations for new buildings.
Temperature in degrees Fahrenheit is equal to 32 more than 9/5 times the temperature in degrees Celsius.One day the high temperature in Edison,NJ,was 95 degrees Fahrenheit.What was the high temperature in degrees Celsius
PLEASE HELP ME!!! Can anyone tell me an easy, step by step way to figure out if a trinomial is a perfect square or not? I have a test tomorrow. Do it like step 1, step 2, ect.
Organize the following expressions from greatest to least by number of terms:
I. x + 2xyz
II. 3x + y + z
III. 2x2y + x2 − 3x + 4
IV. 9x2yz
Answer:
[tex]2x^2y + x^2 - 3x + 4~ (4)>3x + y + z ~(3)>x + 2xyz ~(2)>9x^2yz~ (1)[/tex]
Step-by-step explanation:
We are given expressions in the question.
Term in an expression:
Each expression constitute terms.A term can be a number, a variable, or a constant multiplied by a variable or variables.Each term in an algebraic expression is separated by a + sign or - sign.We need to find the number of terms in each expression:
1)
[tex]x + 2xyz\\\text{Number of terms}= 2[/tex]
2)
[tex] 3x + y + z\\\text{Number of terms}= 3[/tex]
3)
[tex]2x^2y + x^2 - 3x + 4\\\text{Number of terms} = 4[/tex]
4)
[tex]9x^2yz\\\text{Number of terms} = 1[/tex]
Arranged from greatest to least by number of terms:
[tex]2x^2y + x^2 - 3x + 4~ (4)>3x + y + z ~(3)>x + 2xyz ~(2)>9x^2yz~ (1)[/tex]
amanda arranged 5 baskets of flowers. she finished at 4:10pm it took her 20 mins to arrange each basket of flowers. at what time did amanda begin
Suppose that the cost of drilling x feet for an oil well is C=f(x) dollars. a) What are the units of f'(x)? b) In practical terms, what does f'(x) mean in this case? c) What can you say about the sign of f'(x)? d)Estimate the cost of drilling an additional foot, starting at a depth of 300 ft, given that f'(300)=1000.
The solution according to the given question is provided below in the explanation segment.
According to the question,
The cost of drilling x feet is:
[tex]c(x) = f(x) \ dollars[/tex]
(a) [tex]f'(x) = \frac{df(x)}{dx} \ \frac{dollars}{feet}[/tex]
(b) Throughout the practical terms,
[tex]f'(x)[/tex] represents how many dollars its going to cost one feet.
(c) [tex]f'(x)[/tex] is positive,
The cost of drilling increases as "x" feet increases.
(d) The cost of drilling an additional foot at 300 feet will be [tex]f'(x) \Delta \ x[/tex]
here,
[tex]\Delta x =0[/tex][tex]f'(300) =1000[/tex]then,
= [tex]1000\times 1[/tex]
= [tex]1000 \ dollars[/tex]
If you want drill 1 more feet at 300 feet, its going to cost 100 dollars in one.
Thus the above answer is correct.
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How far did Clara walk after getting off the bus? 2 1/2 miles, 1/4 miles, and 1 3/4 miles
If 3p+4q=8 and 4p+3q=13, what is q equal to?