if angle 2 is a right angle, and measure of angle 4 is 60, prove measure of angle xyz is 150 degrees
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Related Questions
Which situation could be represented by the integer -10?
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Is 2064 divisible by two for an eight
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2064/2 =1032
2064/8 = 258
it can be divided evenly by both 2 & 8
Yes, 2064 is divisible by two for an eight. The last digit of the number, 4, is divisible by 2.
Explanation:Yes, 2064 is divisible by two for an eight. When a number is divisible by 2, it means it can be divided by 2 without leaving a remainder. To determine if 2064 is divisible by 2, we check if the last digit of the number, which is 4 in this case, is divisible by 2. Since 4 is even, it is divisible by 2, so 2064 is divisible by 2.
Dingane has \$8.00$8.00dollar sign, 8, point, 00, and exactly 30\%30%30, percent of that money is from 555‑cent coins. How many 555‑cent coins does Dingane have?
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Dingane has approximately 0.432 or about 0.432 555-cent coins.
Explanation:To find out how many 555-cent coins Dingane has, we need to determine 30% of $8.00.
We can do this by multiplying $8.00 by 30% or 0.30.
30% of $8.00 is calculated as:
So, Dingane has $2.40 worth of 555-cent coins.
To determine how many 555-cent coins this is, we need to divide $2.40 by the value of each coin.
Note that 555 cents is equal to $5.55.
So, we can divide $2.40 by $5.55 to find the number of 555-cent coins.
The number of 555-cent coins Dingane has is calculated as:
Therefore, Dingane has approximately 0.432 or about 0.432 555-cent coins. Since coins cannot be divided, we can round this down to 0.
Jana and her sister went to a restaurant for dinner. Jana's dinner cost $5 more than her sisters. if their combined bill was $19 without tip, what was the price of jana's dinner?
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The price of Jana's dinner will be $12.
What is an expression?
Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Jana and her sister went to a restaurant for dinner. Jana's dinner cost $5 more than her sisters. if their combined bill was $19 without a tip.
Jana's cost will be calculated by forming two linear expressions as below:-
J + S = 19
J - S = 5
Solve the above equation by elimination method.
2J = 19 + 5
2 J = 24
J = 24 / 2 = 12
Therefore, the price of Jana's dinner will be $12.
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What's 6.16 x 10^6 in standard form?
a.6,160,000
b.61,600,000
c.601,600,000
d.616,000,000
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6.16 x 10^6 = 6,160,000
10^6 = 1000000
6.16 = 616/100
616/100 x 1000000 =6160000
So, the standard form of 6.16 x 10^6 is 6,160,000
331 students went on a field trip.Six buses were filled and 7 students traveled in cars.How many students were in each bus?
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324/6=54
There were 54 students on each bus. Hope this helps.
Then take 324 and divide it by 6 because thats how many buses were used
You would get 54.
Your answer would be 54 people on each bus.
Hope this helps!
Describe two diffrent ways to solve negative 10=1 fourth(8y-12)
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-10 = 1/4*(8y-12)
The first way of the solution is as follows:
Distribute 1/4 to the inside equation of the parenthesis.
-10 = 2y - 3
2y = -10 + 3 = -7
y = -7/2 = -3.5
The second way of the solution is as follows:
Cross-multiply the denominator a the right side to the left side.
-10*4 = 8y - 12
-40 = 8y - 12
8y = -40 + 12 = -28
y = -28/8 = -3.5
There is a beaker of 3.5% acid solution and a beaker of 6% acid solution in the science lab. Mr. Larson needs 200 milliliters of a 4.5% acid solution for an experiment. How many milliliters of each solution should he combine?
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Let y = the volume 6% solution
(3.5%)x + (6%)y = (4.5%)(200)
0.035)x + 0.06y = 0.045(200)
0.035x + 0.06y = 9 ( Equation 1 )
x + y = 200 ( Equation 2 )
x = 200 - y
Substitute x = 200 - y into equation 1:
0.035x + 0.06y = 9
0.035(200 - y) + 0.06y = 9
7 - 0.035y + 0.06y = 9
0.06y - 0.035y = 9 - 7
0.025y = 2
y = 2/(0.025)
y = 80 mL (the volume of 6% solution.)
Substitute y = 80 into equation 2:
x + y = 200
x + 80 = 200
x = 200 - 80
x = 120 mL (the volume of the 3.5% solution.)
Therefore, Mr. Larson should combine 120 mL of the 3.5% solution
and 80 mL of the 6% solution to make 200 mL of 4.5% solution.
Answer is 120 mL of the 3.5% solution & 80 mL of the 6% solution
Hope I helped :)
To obtain 200 mL of a 4.5% acid solution, Mr. Larson needs 120 mL of the 3.5% acid solution and 80 mL of the 6% acid solution.
Explanation:To find the volumes of each of the two solutions needed, we can set up a system of equations based on the principle of concentration:
Let x be the volume of the 3.5% acid solution needed, and y be the volume of the 6% acid solution needed.
The equation for the total volume is x + y = 200 mL.
The equation for the concentration is (0.035x + 0.06y) / 200 = 0.045.
Solving the system of equations, we can find the values of x and y.
x = 200 - y
(0.035(200 - y) + 0.06y) / 200 = 0.045
Simplifying the equation, we get:
7 - 0.035y + 0.06y = 9
0.025y = 2
y = 80 mL
Substituting the value of y into the equation x = 200 - y, we get:
x = 200 - 80
x = 120 mL
Therefore, Mr. Larson needs 120 mL of the 3.5% acid solution and 80 mL of the 6% acid solution to obtain 200 mL of a 4.5% acid solution.
From least to greatest 56.03 56.3 56.14 57.1
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56.3 is 56.30 so that shows its smaller than 56.14 but bigger than 56.03. 57.1 is the greatest since its a whole number bigger
The order from least to greatest is -
56.03
57.1
56.14
56.3
We have some decimal numbers.
We have to arrange them from least to greatest.
What is Decimal ?
A decimal is a number that consists of a whole and a fractional part. For example - 44.2 has its whole part as 44 and its fractional part as 0.2.
According to question, we have the following decimal numbers -
56.03
56.3
56.14
57.1
Arranging them in the order of their increasing value, we get -
56.03
57.1
56.14
56.3
The order from least to greatest is -
56.03
57.1
56.14
56.3
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Explain how you would find the difference of - 45 and - 60
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came to a conclusion that the answer is -15. I hope this helped. If I'm wrong, I'm truly sorry.
find the measure of abc
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Please can someone help me
There are three students in Mrs. Reed class that have consecutive ages. The sum of their ages is 45. Write the equation that would model how to solve this problem.
A. n+n+2+n+2=45
B. n+n+1+n+3=45
C. n+n+2+n+4=45
D. n+n+1+n+2=45
update: answer is D
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n + n+1 + n+2 = 45
it is showing that n is the age of one student and the other student has age one year more than the first one and third students has age of 2 years more than first student and one year greater than the second student. if we solve this equation for the value of n, we get;
3n + 3 = 45
3n = 45 -3
3n = 42
n = 14
so the age of one student is 14, second student 15 and third student 16 years.
and if we add there ages, 14 + 15 + 16 = 45
Answer:
he said its d he's right
Step-by-step explanation:
what the answer to this equation
-3+5+2y-7y please show worj
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2y-7y=-5y
2-5y is the answer
• first you combine like terms
• -7y and +2y are like terms because they both end with the variable "y"
•which gives you -5y because a negative and a positive you subtract and keep the sign of the larger number in this case would be -7y
• next you combine 5 and -3, since the numbers have opposite signs, you subtract and keep the sign of the larger number, which in this case would be 5 and the answer to +5-3 is 2.
Final answer: -5y+2
A basket contains 3/8 as many oranges as apples and three over four as many oranges as pairs what is the ratio of the number of oranges to the total number of fruits in the basket
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3/8(a)=# of oranges
p=# of pears
3/4(p)=# of oranges
(3/8)a=(3/4)p
(3/8)/(3/4)=p/a
(3/8)(6/8)=p/a
3/6=p/a
1/2=p/a
the ratios of pears to apples is 1 to 2
for every 1 pear there are 2 apples
if there are 4 pears there are 8 apples
there are 8 apples
(3/8)(8)=3 oranges
there are 4 pears
(3/4)(4)=3 oranges again
8 apples, 3 oranges, 4 pears
15 pieces of fruit and 3 are oranges
ratio is 3/15=1/5
4/5/2015 | Arthur D.
100000 less than 560313 is
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Use perfect squares to find the Approximate of √15
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3^2 = 9
4^2 = 16
so, 4 is the answer because 16 is closest to 15 and is a perfect sqaure
If the circumference of a circle is 319 meters, find the diameter
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C = 2(π)(r)
Here, you are given 319 as the C, so plug that into the equation.
319 = 2(π)(r)
Now solve. Divide both sides by 2π.
159.5/π = r
50.8 = r
The radius is half the diameter, so to find the diameter, jusy multiply the radius by 2.
50.8 × 2 = 101.6
d = 101.6
The diameter of the circle is 101.6.
What is 5s fact to multiply 6x8?
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Multiplying 6 and 8 gives the value of 48. The question seems to mention '5s fact', which typically refers to multiplication facts of 5, but this does not directly relate to multiplying 6 and 8.
Explanation:It seems that the '5s fact' mentioned in the question doesn't directly apply to the multiplication problem provided (6x8). Rather, in the context of simple multiplication, a 'fact' typically refers to a multiplication fact, which is a statement of an equation that can be considered universally true in arithmetic. For instance, 5x1=5 or 3x2=6 are multiplication facts.
To multiply 6 and 8, regardless of any number's multiplication facts, you would simply calculate 6x8, which equals 48.
With regard to the '5s fact', if we are referring to the multiplication facts of 5, these would include equations like 5x1=5, 5x2=10, and so on. However, none of the '5s facts' directly relate to multiplying 6x8. If the question refers to some other concept that has not been clarified, please provide further details.
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A store owner has 7.11 lbs of candy if he puts the candy into 9 jars how much candy will each jar have
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*how do you find the additive inverse of a number? give an example of a number and its additive inverse*.. Someone help! I have a D in this class but I literally have no idea what the answer is to this
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5....the additive inverse is -5....because 5 - 5 = 0
-2...the additive inverse is 2....because -2 + 2 = 0
1/3....the additive inverse is -1/3.....1/3 - 1/3 = 0
The additive inverse, or opposite, of a number is the value you add to it to get zero. You find it by changing the sign of the number. So the additive inverse of 5 is -5, and the additive inverse of -3 is 3.
Explanation:In mathematics, the additive inverse of a number is what you add to a given number to get zero. This is often known as the 'opposite' or 'negation' of a number. The additive inverse of a number 'a' is denoted as '-a'.
For example, the additive inverse of 5 is -5, because 5 + (-5) = 0. Similarly, the additive inverse of -3 is 3, because -3 + 3 = 0.
To find the additive inverse of a number, you essentially change the sign of the number. If the number is positive, its additive inverse will be negative. If the number is negative, its additive inverse will be positive.
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6x=7-4y;x=-2,-1,0
please help i dont understand in 8th grade algerbra 1 honors
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6(-2) = 7 - 4y
-7 -7
-12 -7 = -4y
-19
/-4 /-4
4.75 = y
y = 4.75
6(-1) = 7 -4y
-7 -7
-13 = -4y
/-4 /-4
3.25 = y
y = 3.25
6(0) = 7 - 4y
-7 -7
-7 = -4y
/-4 /-4
1.75 = y
y = 1.75
Answer:
none of ya buisness
Step-by-step explanation:
because i cant remeber
write 3 equivalent forms of 0.472 using decimals and fractions?
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Addison studies a tarantula that is 30 mm long suppose she uses a microscope to magnify the Spider by 4 x 10 to the second power how long will the Spider appear to be??? please show me how you got it. thank you
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What is 7 yards 2 feet 8 inches plus 4 yards 3 feet 7 inches
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To find the sum of 7 yards 2 feet 8 inches and 4 yards 3 feet 7 inches, convert all measurements to inches, sum them up, and then convert back to yards, feet, and inches. The result is 13 yards 3 inches.
Adding Lengths in Yards, Feet, and Inches
To add 7 yards 2 feet 8 inches and 4 yards 3 feet 7 inches, follow these steps:
Convert everything to inches for easier addition. Note that 1 yard = 3 feet and 1 foot = 12 inches.7 yards = 7 × 3 × 12 = 252 inches2 feet = 2 × 12 = 24 inches
8 inches = 8 inches
Total: 252 + 24 + 8 = 284 inches4 yards = 4 × 3 × 12 = 144 inches
3 feet = 3 × 12 = 36 inches
7 inches = 7 inches
Total: 144 + 36 + 7 = 187 inchesAdd the totals from the previous steps: 284 inches + 187 inches = 471 inches.Convert back to yards, feet, and inches:
471 inches ÷ 12 = 39 feet 3 inches
39 feet ÷ 3 = 13 yards. Therefore, we have 13 yards 3 inches.
So, 7 yards 2 feet 8 inches plus 4 yards 3 feet 7 inches equals 13 yards 3 inches.
The perimeter of a rectangle is 108 inches. It is twice as long as it is wide.Find the length; the width.Draw the figure.
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Length: 36"
Width: 18"
I'll leave you to do the drawing. Besides, 36" wouldn't fit on any old A4 sheet of paper.
One-fourth of the girls and one-eighth of the boys in a class retake their school pictures. The photographer retakes pictures for 16 girls and 7 boys. How many students are in the class?
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64 + 56
120
Answer: 120 students
The total number of students in the class is 120, consisting of 64 girls and 56 boys.
Explanation:The question is asking for the total number of students in the class. Given that one-fourth of the girls and one-eighth of the boys retake their pictures, we can form two separate equations. Then we solve these to find the total number of girls and boys.
Let's denote G as the total number of girls and B the total number of boys.
We know that 1/4 * G = 16 (number of girls that retake their pictures). Solving this equation for G we find that G = 16 * 4 = 64 girls.
Similarly, we know that 1/8 * B = 7 (number of boys that retake their pictures). So the total number of boys, B = 7 * 8 = 56 boys.
Therefore, the total number of students in the class is G + B = 64 girls + 56 boys = 120 students.
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Im in 8th grade but taking high school classes, my algebra homework asks what m equals in the problem y=mx+b
Can someone help me and show steps on how they got it?
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m = the value of the slope
b = the y - intercept
To solve for m or the slope you can either count the graph .. How many units it went up or down or to the right or left ..
Also know as rise / run
Other way you can do it is by ... If there are two different corrdinates given and they ask you to find the value of slope..
you use the formula .. y^2 - y^1 / x^2 - x^1
For example if there is .. (-1 , -3) , (2 , 5) and you are asked to find the slope.. * I attached the picture of the example*
Hope it helps
What is 0.34 in word form?
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Michelle and her brothers Sam and Dean are saving money over summer break each week Michelle saves three times as much as Sam Sam saves $2 more than dean at the end of 5 weeks the three of them have saved a total of 240 how much money did each person spend
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Let the amount saved by Michelle be x, the amount saved by Sam be y and the amount saved by Dean be z.
From the givens:
x = 3y (Michelle saves 3 times as much as Sam).......eq1
y = 2+z (Sam saves 2$ more than Dean)
z=y-2.........eq 2
x+y+z = 240 (total amount)......eq 3
substitute by equation 1 in 3:
3y+y+z=240
4y+z=240......eq 4
substitute by 2 in 4:
4y+y-2=240
5y=242
y= 48.4$
from 1:
x=3y
x=145.2$
from 2:
z=y-2
z=46.4$
A family of four is trying to determine what they want to do for their summer vacation and came up with three options. They have a total of $4,428.00 saved for use on the vacation. Option 1. Book a cruise at $564.00 per person and spend $182.00 for expenses getting to the port and back home. Option 2. Fly to an island getaway at $593.00 per person round-trip and spend $78.00 for getting to the airport and back home. Option 3. Spend three days at an amusement park that is 815 miles away with each ticket costing $287.00 per person, $856.00 for a hotel, and $422.00 for food and travel getting to the amusement park and back home. Once they get to their destination, the remainder of the money will be split evenly among the family members so that each person will have money to spend on souvenirs, food, and clothing. Match each option with how much money each family member will receive to spend.
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After calculating the total costs for each vacation option and subtracting these from the total savings, the money left for each family member to spend on souvenirs and other expenses is: $497.50 for the cruise, $494.50 for the island getaway, and $437 for the amusement park trip.
Explanation:To determine the amount of money each family member will receive to spend on each vacation option, we need to calculate the total cost of each option and subtract that from the total savings, then divide the remainder by four (the number of family members).
Option 1Total cost of cruise = (4 × $564) for tickets + $182 for expenses = $2,438.
Each family member will receive ($4,428 - $2,438) ÷ 4 = $497.50 to spend.
Option 2Total cost of flying to an island = (4 × $593) for tickets + $78 for expenses = $2,450.
Each family member will receive ($4,428 - $2,450) ÷ 4 = $494.50 to spend.
Option 3Total cost of amusement park trip = (4 × $287) for tickets + $856 for hotel + $422 for food and travel = $2,680.
Each family member will receive ($4,428 - $2,680) ÷ 4 = $437 to spend.