Answers
alternate interior angles 60 = 40 = 100
100 + 35 + y = 180
y=45
Answer:
[tex]y=45[/tex]
Step-by-step explanation:
We have been given an image of a parallelogram. We are asked to find the value of y for our given parallelogram.
We know that opposite angles of parallelogram are equal and two consecutive angles are supplementary.
Using these properties, we can set an equation as:
[tex]35^{\circ}+y^{\circ}+40^{\circ}+60^{\circ}=180^{\circ}[/tex]
[tex]135^{\circ}+y^{\circ}=180^{\circ}[/tex]
[tex]135^{\circ}+y^{\circ}=180^{\circ}[/tex]
[tex]135^{\circ}-135^{\circ}+y^{\circ}=180^{\circ}-135^{\circ}[/tex]
[tex]y^{\circ}=45^{\circ}[/tex]
[tex]y=45[/tex]
Therefore, the value of y is 45.
Related Questions
True or false. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.
Answers
A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.
Explanation:A trapezoid is a quadrilateral with one pair of parallel sides. It has two diagonals that connect opposite vertices. The diagonals of a trapezoid are not necessarily congruent because they have different lengths. However, one set of opposite sides of a trapezoid will always have equal slopes.
To see this, we can consider the equation of a line and the formula for slope. Let's say we have a trapezoid with vertices A, B, C, and D. The equation of the line passing through points A and B can be written as y = mx + b, where m is the slope of the line and b is the y-intercept. Similarly, the equation of the line passing through points C and D can be written as y = nx + c. Since the opposite sides of the trapezoid are parallel, the slopes m and n will be equal.
Therefore, the statement is true. A trapezoid has congruent diagonals and one set of opposite sides that have equal slopes.
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Suppose you have a normally distributed set of data pertaining to a standardized test. The mean
score is 500 and the standard deviation is 100. What is the z-score of 800 point score?
Answers
Alejandro has two marbles. One weighs 0.56 grams, and the other weighs 0.825 grams. How much more does the second marble weigh?
0.265 grams
0.355 grams
0.769 grams
1.385 grams
Answers
0.265 grams
Find x if y=-2 4x-6/y=15 A.9/2 B. 5 C.3 D.-6/23
Answers
4x+3=15
4x=12
x=3
Your answer is letter C.) 3
Given that a is the longest side length in the triangle, which of the following inequalities would make the triangle above an obtuse triangle?
A. a2+b2< c2 B. a2+b2>c2 C. b2+c2< a2 D. b2+c2>c2
Answers
If the sum of the squares of the shorter sides is smaller compared to the square of the hypotenuse then, the triangle is OBTUSE. The answer therefore to this item is letter A.
Answer:
it is abtuse triangle
Step-by-step explanation:
no step
can someone please help me?
Answers
Simplify 5 • 2 • (–4) + 6 ÷ 2
Answers
paranthesis
exponents/roots
multiplication/division
addition/subtraction
so your question: 5 x 2 x (-4) + 6 divided by 2
5 x 2 x (-4)= -40
-40 / 2 = -20
-20 + 6 = -14
your answer is -14
hope this helps :D
A carton of juice shaped like a rectangular prism measures approximately 8 inches high and 4 inches along each edge. A cylindrical glass that is 3 inches in diameter is filled to a height of 3.5 inches. Approximately how many glasses of this juice can be poured from a full container? Use π π = 3.14.
Answers
V = length × width × height
The volume of the carton juice is
V = 4 × 4 × 8 = 128 in³
Volume of a cylinder is
V = Area of circular base × height = [tex] \pi r^{2} [/tex]×h, where [tex]r[/tex] is the radius of the circular base
The volume of the cylindrical glass is
V = (1.5)² × 3.14 × 3.5 = 24.7275 in³
Hence, the number of glasses that can be filled with the juice from the carton is:
128 ÷ 24.7275 = 5.18 ≈ 5 glasses
great jobbb. very helpful i meant 5 stars lol my b
Debbie needs to fill juice cups for her little brother's birthday party. There are 20 juice cups and each juice cup holds 10 fluid ounces. The juice comes in 1-gallon bottles. How many 1-gallon bottles of juice will Debbie need to purchase?
(1 quart = 32 fluid ounces, 1 gallon = 4 quarts)
1 bottle
2 bottles
3 bottles
4 bottles
Answers
1 gallon = 4 qts
1 qt = 32 fl. ounces
so 32 x 4 = 128 fl. ounce in a gallon
20 cups at 10 ounces each = 20*10 = 200 ounces needed
200/128 = 1.5625 gallons needed
she will need to buy 2 bottles
You are a self-employed plumber. Your charges are: $22.50 per hour for labor, $0.50 per mile for travel to and from home, and the cost of materials plus 5%. Your last job was 35 miles from home. You took 4.5 hours to complete the job. The parts cost $350. Your invoice to the customer was for $468.75.
Was the invoice correct? If not, why?
A)No. You did not charge for travel.
B)Yes. The invoice was correct.
C)No. You charged too much for materials. (ANSWER)
D)No. You charged too much for travel.
Answers
35 miles at 0.50 per mile = 0.50(35) = 17.50...travel pay
parts : 350 * 1.05 = 367.50...parts and taxes
total : 101.25 + 17.50 + 367.50 = 486.25
486.25 - 468.75 = 17.50.
answer is : The invoice is incorrect....he did not charge for travel <==
Which statement best describes the expression 3 + 2 ÷ y?
The quotient of y and the sum of 3 and 2
The quotient of the sum of 3 and 2 and y
The sum of 3 and the quotient of 2 and y
The sum of 3 and the quotient of y and 2
best answer will get BRAINLIEST!!!!!
Answers
Answer:
C. The sum of 3 and the quotient of 2 and y
Step-by-step explanation:
Given : 3 + 2 ÷ y
Solution:
First consider the BODMAS rule
solving any equation we need follow this sequence (BODMAS)
B - Bracket
O - Of
D- Division
M- Multiplication
A - Addition
S - Subtraction
So, in the given equation we first consider the division after that the addition
i.e. division of 2 by y (quotient of 2 and y) and then addition of 3 in the result of division of 2 by y
So, we can say it as The sum of 3 and the quotient of 2 and y
Answer:
The answer is just c
Step-by-step explanation:
Jeremy drew a polygon with four right angles and four sides with the same length. Name all the polygons that he could have drawn.
Answers
Jeremy drew a square, which is a regular polygon with four equal sides and four right angles.
If Jeremy drew a polygon with four right angles and four sides of the same length, he could have drawn a square. This is because a square is the only regular polygon with four sides (also known as a quadrilateral) that has all sides equal in length and all angles equal at 90 degrees. In a quadrilateral, the sum of all interior angles is 360 degrees, which satisfies the criteria of having four right angles, as each right angle measures 90 degrees. The shape Jeremy drew cannot be any other polygon since the definition of a square is specific to having all sides equal and all angles equal, which uniquely identifies it among four-sided polygons.
A paint store has 35 gallons of paint in storage, 2/5 of which are for outdoor use. The others are for indoor use. If each gallon costs$22, what is the total cost of the indoor paint in storage?
Answers
You walk east 720 feet to get from your house to class. After class, you walk southwest 1,044 feet to meet your friends for lunch. When walking the 756 feet back home from lunch, what direction are you traveling?
Answers
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 -12
0 -6
1 0
g(x)
g(x) = 2x + 6
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
Answers
if f(x) is a line, you can find this expression:
y = m * x + b
Substitute two values to find, m and b. m is the slope, b the intercept, OK?
(0,-6) ---> -6 = b, so b= -6.
(1, 0) ---> 0 = m + b = m - 6, m = 6.
f(x) = 6x-6.
Check it:
(-1,-12)? y = 6*(-1)-6 = -12, yeah!!!
Now, g(x) is written as slope-intercept already:
slope = 2 (the coefficient of x)
intercept = 6 (the term without x)
slope of f(x) =6, slope of g(x) = 2
PART B)
6>-6, so the intercept of g(x) is greater.
Hope you learned sth! :)
In order to build a scale model of the trail, the drawing is enlarged on the coordinate plane. If two corners of the trail are at point A(−2, 7) and point D(−10, −1), what is another point that could represent a corner of the trail?
(10, 7)
(14, 7)
(12, 7)
(8, 7)
Answers
From the coordinate plane, we can see that the enlarged point A refers to point F, and enlarged point D refers to point I. To solve for this problem, we know that the ratios of each side should be similar (both the original and enlarged). Since the given choices have all y values equal to 7, so we have to look for the enlarged point of point G. Let us call that point as point C.
In this case, we take the ratio of side IF and side FG. First solving for length using distance formula:
IF^2 = (2 – 4)^2 + (-4 - -2)^2
IF^2 = 8
IF = sqrt 8
FG^2 = (7 – 4)^2 + (-2 - -2)^2
FG^2 = 9
FG = 3
Therefore the ratio of IF/FG must be equal to the ratio of DA / AC:
IF / FG = DA / AC
Find DA first:
DA^2 = (-10 - -2)^2 + (-1 -7)^2
DA^2 = 128
DA = sqrt 128
So,
sqrt 8 / 3 = sqrt 128 / AC
AC = 12
Finding for point C: y of point C = 7
AC^2 = (x - -2)^2 + (7 – 7)^2
12^2 = (x + 2)^2
x + 2 = 12
x = 10
Answer:
(10, 7)
Nine cards numbered 1-9 are flipped upside down. What is the probability of flipping up an even number?
Answers
WILLL GIVEEEEE BRAINLIEST PLZ HELPPPPPPPP!!!!!!!!
Answers
29 out of 74 do not like rap
29/74 = 0.39
31 out of 74 do not like hip hop
31/74 = 0.42
0.39+0.42 = 0.81
answer is 0.81
Which section of the function is constant? A graph is shown. Segment A is a horizontal line beginning at the y-axis. Segment B moves upward. Segment C is a horizontal line. Segment D moves downward.
Answers
Answer:
Answer: B
Step-by-step explanation:
Verbal reasoning : Choose the most appropriate option to complete the statement . 'AC is to VJ as RO is to (??)'
Answers
Find the area of a rectangle
Answers
The pair of numbers whose difference is 18 and whose product is as small as possible is? The minimum product is?
Answers
So the product will be x(x-18) = x^2 - 18x = (x-9)^2 - 81
Since the minimum of (x-9)^2 is 0, then the minimum of the product is -81
You downloaded a video game to your computer. You have a 60 minute free trial of the game. It takes 5 minutes to set up the game and 7 minutes to play each level. You want to find out how many levels you can play for free.
Answers
55/7= 7.857
you can play 7 complete levels before time runs out
What is 1000mm=. m
What is 65mm=. m
What is4.92m=. m
What is 3mm=. m
Answers
1000mm= 1m
65mm= 0.065m
To convert m to mm, move the decimal three places to the right.
4.92m= 4920 mm
3mm= 0.003m
65mm. = 0.065m
4.92 m. = 4920mm
3 mm. = 0.003m
How do you subtract: a negative number minus a positive number?
Answers
When subtracting a positive number from a negative, you're doing the same as adding two positive numbers, but flipping the value.
For example;
-2 - 2 = -4
2 + 2 = 4
If this doesn't help you, please message me or comment below and I will do my best to explain to you how it works. Thanks!
do the opposite angles in a parallelogram have the same measure please explain why
Answers
Opposite angles in a parallelogram are equal. This is due to the property of parallel lines being crossed by a transversal line, which causes the corresponding angles to be equal.
Explanation:Yes, the opposite angles in a parallelogram always have the same measure. This happens because when lines are parallel and they get crossed by another line (called the transversal), the corresponding angles in the different parallel lines are equal.
In a parallelogram, the opposite sides are parallel. If you draw a diagonal inside the parallelogram, it acts as a transversal line crossing the parallel lines. Therefore, the angles it forms at the corners are equal to each other, meaning the opposite angles have the same measure.
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The vertices J(2,6), K(7,8), L(9,3), and M(?, ?) determine a square. Show your work to find the coordinates of M. Use complete sentences and proper grammar to give a justification why JKLM is a square.
Answers
Mathematically, JKLM is a square because all of its four sides are equal in length. We also can justify by measuring the interior angles. A further method of justifying that JKLM is a square is by showing the lines connecting at each vertex are perpendicular.
if x + y = 8 find the value of y when x = -1
Answers
x + y = 8 becomes -1 + y = 8
Solve for y.
-1 + y = 8
y = 9 <-- Add 1 to each side
So, y is equal to 9.
how many miles can you get on one tank of gas if your tank holds 18 gallons and you get 22 miles per gallon
Answers
Identify the property shown.
5 + 2 = 2 + 5
24 x 1 = 24
13 + 0 = 13
Answers
This is the commutative property of addition, which states that for two addends, the order of addends does not affect the value of the end result.
Second one:
This is the multiplicative identity property. It states that any number, when multiplied by 1, is equal to itself.
Third one:
This is the additive identity property, which states that any number, when added to 0, equals the same number.
Hope this helps!