Answers
2x - 32 = 180
2x = 212
x = 106
x - 32 = 106 - 32 = 74
the other 2 angles = 90
Answer:
x=107
[tex]x-34=107-34=73[/tex]
Step-by-step explanation:
Sum of angles in a quadrilateral is 360 degree
right angle is 90 degree
[tex]90 +90+x+x-34= 360[/tex]
[tex]180+x+x-34=360[/tex]
subtract 180 from both sides
[tex]x+x-34=180[/tex]
[tex]2x-34=180[/tex]
add 34 on both sides
[tex]2x=214[/tex]
divide by 2 on both sides
x=107
[tex]x-34=107-34=73[/tex]
Related Questions
ΔMNP is an isosceles triangle with MN ≈NP. If ∠ M = 3x + 1 and ∠ N = x - 11. What is the measure of ∠P?
Answers
what is the slope i need the answer now please help
Answers
In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line
What are the coordinates of the endpoints of the midsegment for △DEF that is parallel to EF¯¯¯¯¯?
Enter your answers, as a decimal or whole number, in the boxes.
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Michael breeds chickens and ducks. Last month, he sold 505050 chickens and 303030 ducks for \$550$550dollar sign, 550. This month, he sold 444444 chickens and 363636 ducks for \$532$532dollar sign, 532. How much does a chicken cost, and how much does a duck cost?
Answers
50x + 30y = 550 . . . (1)
44x + 36y = 532 . . . (2)
(1) x 6 ⇒ 300x + 180y = 3,300 . . . (3)
(2) x 5 ⇒ 220x + 180y = 2,660 . . . (4)
(3) - (4) ⇒ 80x = 640
⇒ x = 640 / 80 = 8
From (1): 50(8) + 30y = 550
⇒ 30y = 550 - 400 = 150
⇒ y = 150 / 30 = 5
Therefore, the price of a chicken is $8 and the price of a duck is $5.
The price of a single chicken is $8 and the price of a single duck is $5 and this can be determine by forming the linear equation in two variables.
Given :
Michael sold last month, 50 chickens and 30 ducks for $550.This month, he sold 44 chickens and 36 ducks for $532.Let the price of single chicken be 'a' and the price of single duck be 'b'. Then the linear equation will be:
[tex]50a + 30b = 550[/tex] --- (1)
[tex]44a + 36b = 532[/tex] --- (2)
Now, solve the equation (1) for 'b'.
[tex]b = \dfrac{550-50a}{30}[/tex]
[tex]b = \dfrac{55}{3}-\dfrac{5a}{3}[/tex] ---- (3)
Now, put the value of 'b' in equation (2).
[tex]44a+36\left(\dfrac{55}{3}-\dfrac{5a}{3}\right) = 532[/tex]
[tex]44a+660-60a=532[/tex]
128 = 16a
a = 8
Now, put the value of a in equation (3).
[tex]b = \dfrac{55}{3}-\dfrac{5\times 8}{3}[/tex]
b = 5
The price of a single chicken is $8 and the price of a single duck is $5.
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Which theorem would you use to prove ABE ~ DCE?
ASA Similarity
SSS Similarity
AA Similarity
SAS Similarity
Answers
------------------------------------------------------------------------------
------------------------------------------------------------------------------
We are given that angle ABE = angle ECD since they are both right angles (square marker)
Angle AEB = angle CED as they are vertical angles
we have two pairs of congruent angles, leading us to be able to use the AA (angle angle) similarity theorem
Answer:
AA Similarity
Step-by-step explanation:
Just is. Hope This Helps!!! ;)
The sum of two numbers is 64 . the larger number is 18 more than the smaller number. what are the numbers?
Answers
Final answer:
To solve the problem, we use a system of equations: x + y = 64 and y = x + 18. The smaller number is found to be x = 23, and the larger number is y = 41.
Explanation:
To find the two numbers where their sum is 64 and the larger number is 18 more than the smaller number, we can set up a system of equations. Let x represent the smaller number and y represent the larger number. We have the following equations:
x + y = 64
y = x + 18
We can substitute the second equation into the first one to solve for x:
x + (x + 18) = 64
2x + 18 = 64
2x = 64 - 18
2x = 46
x = 23
Therefore, the smaller number is 23, and the larger number is:
y = x + 18
y = 23 + 18
y = 41
Hence, the two numbers are 23 and 41.
Solve v=1/3bh for b, the base of the cone
Answers
Answer:
The base of cone is [tex]b= \frac{3V}{h} [/tex]
Step-by-step explanation:
Given :-
[tex]V =\frac{1}{3} \times b \times h[/tex] .............(1)
we need to solve for the base of cone
Divide both the side by ' h ' in equation (1)
[tex]\frac{V}{h} =\frac{1}{3} \times b[/tex]
Multiply both the sides by 3, in above expression
[tex]3\times \frac{V}{h} = b[/tex]
[tex]b= \frac{3V}{h} [/tex]
Hence, the base of cone is [tex]b= \frac{3V}{h} [/tex]
The Base of the cone whose volume is given is b = 3V/h.
Hence option D.
Since we know that,
A cone is a three-dimensional solid geometric shape having a circular base and a pointed edge at the top.
Here given that,
Base of cone = b
Height of cone = h
Since we also know that,
Volume of Cone = base X height / 3
⇒ V = b X h/3
⇒ 3V = b X h
⇒ b = 3V/h
Thus, the Base of the cone whose volume is given is b = 3V/h.
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The complete question is,
The formula for the volume of a cone is V = 1/3bh
Solve V=1/3bh for b,the base of the cone.
A. b=h/3v
B. b=V/3h
C. b=3h/V
D. b=3V/h
TRUE OR FALSE
"All 4 sides are equal in a rhombus but not in a parallelogram"?
Answers
_____________________________________________
NOTE: A "square" is also a rhombus AND a parallelogram ; and a "square" has 4 equal sides. Furthermore, a "rhombus" is also a parallelogram ; and a rhombus has 4 equal sides.
_____________________________________________
What does h(40)=1820 mean it terms of problem?!!! HELPP
Answers
Answer:
D is the correct option.
Step-by-step explanation:
In the given table, the first column is for "hours of training" and the second column is for "Monthly pay".
Now, we have to state the meaning of the term h(40)=1820.
In coordinate system we can write this as (40,1820).
Since, the first column represents "hours of training" and second column is for "Monthly pay". Hence, we can say that for 40 hours of training the monthly payment is $1820.
In other words, if the training attended by the worker is 40 hours, h/she would pay $1820.
Therefore, D is the correct option.
Answer: D
Step-by-step explanation:
A P E X
q-r=r solve for r
Please can someone explain this to me
Answers
Flip
r = Q - r
Add r to both sides
2r = Q
Divide both sides by 2
r = Q/2
Have an awesome day! :)
To solve the equation q-r=r for r, add r to both sides to isolate the variable r. Then, divide both sides by the coefficient of r to find the value of r.
Explanation:To solve the equation q-r=r for r, we want to isolate the variable r on one side of the equation. To do this, we can add r to both sides of the equation:
q - r + r = r + r
This simplifies to:
q = 2r
Next, we can divide both sides of the equation by 2 to solve for r:
q/2 = r
Therefore, the solution is r = q/2.
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I shuffle a standard deck with 52 cards and randomly draw the ace of hearts, then put it to one side. what is the probability that the next card i draw is either an ace or a heart?
Answers
How many tangents to the circle can be constructed through point P?
Answers
Assuming it looks like this, here's your answer. For future reference of course.
Answer:
Two tangents.
Step-by-step explanation:
A circle is given and we have to draw the tangents on the circle from an external point P. By the definition we can draw only two tangents on a circle from an external point P and no tangent can be drawn form a point within the circle.
Therefore answer is two.
How many parallelograms are there?
Answers
Prove that if a transversal is perpendicular to one of the two parallel lines, it it parallel to the other line
Answers
If a transversal is perpendicular to one of the two parallel lines, it is parallel to the other line.
Given:
Parallel lines: AB and CD
Transversal: EF
EF is perpendicular to AB
To prove: EF is parallel to CD
Since EF is perpendicular to AB, ∠AFE = 90°.
Since AB and CD are parallel, corresponding angles are equal: ∠AFE = ∠CFE.
Now, ∠CFE = 90° (since ∠AFE = 90°).
This means EF is perpendicular to CD.
By the converse of the perpendicular transversal theorem, EF is parallel to CD.
At a baseball game, a vender sold a combined total of 104 sodas and hot dogs. the number of sodas sold was three times the number of hot dogs sold. find the number of sodas and the number of hot dogs sold.
Answers
x+y=104
3x-y=104
Sodas = 78
Hotdogs = 26
HELP SCIENCE! BRAINLIEST
What evidence supports the law of conservation of energy?
Light energy is converted to chemical energy during photosynthesis.
Oxygen is made from the breakdown of carbon dioxide during photosynthesis.
Energy is absorbed by chlorophyll during photosynthesis.
The sun gives off light energy that is absorbed by plants.
Answers
hope this helps
Triangle XYZ is shown on the coordinate plane below:
Triangle XYZ on the coordinate plane with ordered pairs at X 3, negative 1, at Y 4, negative 4, at Z 1, negative 2
If triangle XYZ is reflected across the line y = 1 to create triangle X'Y'Z', what is the ordered pair of X'?
Answers
(3, -1)
(4, -4)
(1, -2)
The triangle created is the first file attached.
When reflected off of the line y = 1, it is one higher y than reflecting off the y axis. So, the coordinates are (1,-4) (3, 3) (4, 6)
The ordered pair of [tex]X'[/tex] is [tex](3,3)[/tex]
Explanation
According to the below diagram, the co ordinates of [tex]\triangle XYZ[/tex] are: [tex]X(3, -1), Y(4,-4)[/tex] and [tex]Z(1,-2)[/tex]
The triangle [tex]XYZ[/tex] is reflected across the line [tex]y=1[/tex] to create triangle [tex]X'Y'Z'[/tex]
Distance of the point [tex]X[/tex] from the line [tex]y=1[/tex] is 2 units.
So, the point [tex]X'[/tex] will be also 2 units above the line [tex]y=1[/tex]. As the triangle is reflected across a horizontal line, so the [tex]x[/tex] co-ordinate of the point will remain same.
[tex]y[/tex] co-ordinate of the point [tex]X'[/tex] will be: [tex]y=1+2 =3[/tex]
So, the ordered pair of [tex]X'[/tex] is [tex](3,3)[/tex]
what is the mean of the numbers 5433221 round to the nearest hundredth if necessary. NEED ANSWER ASAP
Answers
1 digit:
5 + 4 + 3 + 3 + 2 + 2 +1 = 20
20 ÷ 7 = 2.86
2 digit:
54 + 33 + 22 + 1 = 110
110 ÷ 5 = 22
What are four different ways of representing functions? how can you tell if a relationship is a function?
Answers
Functions can be represented verbally, algebraically, graphically, and numerically. A relationship is a function when for every input, there is exactly one output which is described by the vertical line test. Graphs for different types of functions vary in shape.
Explanation:Functions can be represented in four various ways: verbally, algebraically, graphically, and numerically. For instance, verbal representation uses words to describe the function. Algebraically, we express the function via an equation. Graphically, we visually represent the function through graphs. Numerically, we represent the function using a table.
A relationship is a function if for every input, there is exactly one output. In a graph, this corresponds to an instance where a vertical line drawn anywhere on the graph would intersect it at only one point. This is also known as the vertical line test.
Examples of different types of functions graphically could include (a) a linear graph, showing a straight line, (b) a quadratic graph, parabolic in shape, (c) an inverse graph, where y decreases as x increases, and (d) an exponential graph, where the rate of growth is proportional to the function's current value.
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Paulo has $145 in his savings account. he earns $36 a week mowing lawns. if paulo saves all of his earnings, after how many weeks will he have $433 saved?
Answers
Answer:
8 week
Step-by-step explanation:
= $ 433 − $ 145 = $ 288
= $ 36 for 1 week
$ 288 for x weeks
x = 288 divide 36
x = 8 weeks
The orange-and-purple-striped sweaters at a store were not selling, so the store put them on sale for half of the original price. The sweaters still did not sell, so the store reduced the price by an additional $10. The sweaters are now priced at $7.50. Write and solve an equation to find the original price of the sweaters. Explain each step of your solution.
Answers
Morgan drove from los angeles, at an elevation of 330 feet, to death valley, at an elevation of -282 feet. what is the difference in elevation between los angeles and death valley?
Answers
Answer:
The answer is D because if you made a number line you would contrast them and there you get 612.
Step-by-step explanation:
Your Welcome;)
4root of 15 plus 3 plus root of 15
Answers
Absolute value means the distance from zero.
Distance can be negative or positive.
True
False
Answers
Hope this helps!!
Uta invests $345 into a simple interest investment account that pays interest at a rate of 9% a year. After several years, she withdraws her balance of $531.30. Using the formula l=Prt, how many years was her money invested? 4 years 5 years 6 years 7 years
Answers
Answer:
[tex]6\ years[/tex]
Step-by-step explanation:
we know that
The simple interest formula is equal to
[tex]I=P(rt)[/tex]
where
I is the interest amount
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
[tex]t=?\ years\\ I=\$531.30-\$345=\$186.3\\ P=\$345\\r=0.09[/tex]
substitute in the formula above
[tex]\$186.3=\$345(0.09t)[/tex]
[tex]t=186.3/(345*0.09)=6\ years[/tex]
How are the two angles below related? *Drawing not to scale*
A) Supplementary
B) Adjacent
C) Complimentary
D) Vertical
Answers
answer
A) Supplementary
Answer:
Supplementary is correct!
Step-by-step explanation:
) Tell whether the sequence is Arithmetic, Geometric, or Neither. -5, 95, 195, 295, 395, …
Answers
The radius of a circle measures 11 mm. What is the circumference of the circle? Use 3.14 for pie and do not round your answer.
Answers
c=2*pi*11
c=22pi
For a data set, the mean is 3.17 and the range is 1.4. The data set is transformed by adding 0.5 to each data value. What are the mean and range of the new data set?
a. mean: 3.67; range: 1.9
b. mean: 3.67; range: 1.4
c. mean: 3.17; range: 1.9
d. mean: 3.17; range: 1.4
Answers
Adding 0.5 to each value in the data set increases the mean to 3.67 while the range remains at 1.4. Hence, the correct answer is option b.
When a constant is added to each data value in a data set, the mean of the data set increases by that constant, while the range remains unchanged. In this case, adding 0.5 to each data value will increase the mean by 0.5 but the range will stay the same.
Given the original mean: 3.17 and original range: 1.4:
New mean = 3.17 + 0.5 = 3.67
New range = 1.4
Therefore, the correct answer is option b: mean: 3.67; range: 1.4.
Glaciers store about 75% of the world's freshwater.
Question 1 options:
True
False
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2.03 Quiz: Physical Characteristics and Systems of North America Quiz Pool 2
Question 2 (1 point) Question 2 Saved
Atlantic Canada, located on the eastern edge of North America, has a climate that is influenced by prevailing westerly winds.
Question 2 options:
True
False
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2.03 Quiz: Physical Characteristics and Systems of North America Quiz Pool 3
Question 3 (1 point) Question 3 Saved
An ecoregion is defined as a large area of land or water that contains a geographically distinct assemblage of natural communities.
Question 3 options:
True
False
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2.03 Quiz: Physical Characteristics and Systems of North America Quiz Pool 4
Question 4 (3 points) Question 4 Saved
What caused virtually all of Canada and some of the northern US to be once covered by thick glacial ice almost 15,000 years ago?
Question 4 options:
Changes in the earth's climate caused the ice sheets to grow.
Changes in the orbit of the earth caused the ice sheets to spread across Canada.
The ice sheets were widespread because they were prevalent all around the world.
There is no apparent reason why the glacial ice was present.
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Question 5 (3 points) Question 5 Saved
The impacts of El Niño upon climate in temperate latitudes show up most clearly during which season?
Question 5 options:
Summer
Winter
Fall
Spring
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2.03 Quiz: Physical Characteristics and Systems of North America Quiz Pool 5
Question 6 (3 points) Question 6 Saved
Approximately what portion of North America is covered by forests?
Question 6 options:
1/4
1/3
1/2
3/5
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Question 7 (3 points) Question 7 Saved
These winds are found in the middle latitudes between 30 and 60 degrees latitude.
Question 7 options:
Polar Easterlies
Trade Winds
Roaring Forties
Prevailing Westerlies
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2.03 Quiz: Physical Characteristics and Systems of North America Quiz Pool 6
Question 8 (3 points) Question 8 Saved
Which of the following factors helped make inland transportation and commerce possible in the United States?
Question 8 options:
The vast mineral deposits
Extremely fertile soils
The intricate river systems
Ample water from the snowmelts
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Question 9 (3 points) Question 9 Saved
Which of the following is not a resource the Appalachian Mountain range is well known for providing?
Question 9 options:
silver
coal
petroleum
iron
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2.03 Quiz: Physical Characteristics and Systems of North America Quiz Pool 7
Question 10 (3 points) Question 10 Unsaved
Canada's strong regionalism is mainly attributable to which of the following?
Question 10 options:
The collapse of the cod fishing industry
Large differences in natural resource distribution throughout the country
Continuous large natural resource discoveries
The logging industries adaptation of a more sustainable model
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2.03 Quiz: Physical Characteristics and Systems of North America Quiz Pool 8
Question 11 (3 points) Question 11 Unsaved
Approximately what percentage of energy in the U.S. is provided by renewable energy resources?
Question 11 options:
5%
9%
15%
25%
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2.03 Quiz: Physical Characteristics and Systems of North America Quiz Pool 9
Question 12 (3 points) Question 12 Unsaved
According to this world map of potential renewable energy, what form of renewable energy has the greatest potential in North America?
Graphic titled World Potential Renewable Energy with four world maps in cluster with each titled wind energy, biomasse, hydroelectricity, and solar energy. Circles represent the amount of equipment in tons are placed over each continent. Biomass has largest circles followed by hydroelectric, solar, and wind. The biomass circle on North America is largest, the hydroelectricity circle is a little smaller, and the solar and wind circles are smaller but about the same size.
Question 12 options:
wind
biomass
hydroelectricity
solar
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Answers
All I know is that Number One is TRUE.
Hope this is helpful :)