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Related Questions
This triangle has one side that lies on an extended line segment.
Based on this triangle, what statement about x is true?
x = 43 because 71−28=43 and 28 + 43 = 71
x = 81 because 180 − 71 − 28 = 81
x = 99 because 28 + 71 = 99 and 99 − 28 = 71
x = 137 because 180 − 71 + 28 = 109 + 28 = 137
Answers
A n s w e r :
C . . .
The measure of angle x is; 137 degrees, the statement (4) x = 81 because 180 − 71 − 28 = 81 is true.
What is a triangle?A triangle is a polygon that has three sides and three vertices. It is one of the basic figures in geometry.
In a triangle, the measures of the three angles add up to 180 degrees. In this triangle, one of the angles measures 71 degrees, and another angle measures 28 degrees.
Therefore, the measure of the third angle must be 48 degrees.
Since the measure of the third angle is 48 degrees, and the measure of one of the other angles is 33 degrees, the measure of the remaining angle must be 48 - 33 = 15 degrees.
Then the measure of the third angle must be 180 − 71 - 28 = 81 degrees.
Therefore, the measure of angle x is 81 degrees.
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A soup recipe calls for a common ratio of salt to pepper as ½ oz : ¼ oz. How much salt and pepper will be needed to create a seasoning mixture that has a total of 5 ¼ oz?
Answers
Answer:
Pepper = 1¾ Oz
Salt = 3½ Oz
Step-by-step explanation:
Given
Salt : Pepper = ½oz : ¼oz
Required
Determine the amount of salt and pepper needed for 5¼ Oz
For ease of calculation, we first convert the ratio to integers.
[Multiply ratio by 4]
Salt : Pepper = 4 * ½oz : 4 * ¼oz
Salt : Pepper = 2 Oz : 1 Oz
Total Ratio = 2 + 1 = 3
The amount of salt needed is then calculated as:
Salt = (Salt Ratio * 5¼)/(Total Ratio)
Salt = (2 * 5¼)/3
Salt = ⅔ * 5¼
Salt = ⅔ * 21/4
Salt = 42/12
Salt = 3½ Oz
Amount of Pepper is calculated as:
Pepper = (Pepper Ratio * 5¼)/(Total Ratio)
Pepper = (1 * 5¼)/3
Pepper = ⅓ * 5¼
Pepper = ⅓ * 21/4
Pepper = 21/12
Pepper = 1¾ Oz
John decided to look at new cars. John found a used car for $6000. A new car is $18000, so what percent of the price of a new car does john pay for a used car? Round your answer to the nearest tenth if necessary.
Answers
Answer:
50%
Step-by-step explanation:
6000 divided by 18000 is .50 and that multiplied by 100 gives you the percentage answer, which is 50.
Show work
Perform the operations to simplify the expression:
(5x^5 + 4) - (2x^3+9)+(6x^5-x^3)
A. 11x^5+3x^3 + 5
B. 11x^5 - 3x^3 - 5
C. -3x^5 + 22x^3 + 5
D. 3x^5 + 11x^1 + 5
Answers
Answer:
b.
Step-by-step explanation:
(5x^5 + 4) - (2x^3+9)+(6x^5-x^3)
5x^5 + 4 - 2x^3 - 9 + 6x^5 - x^3
5x^5 + 6x^5 = 11x^5
-2x^3 - x^3 = -3x^3
+4 -9 = -5
if 2 of the angles of a triangle are 30 and 70 degrees, the third angle measures ...
Answers
Answer:
The third angle measures 80°
Step-by-step explanation:
Let us solve the question
In any triangle
∵ The sum of the measures of the interior angles of a triangle is 180°
∵ The angle of triangles are ∠1, ∠2, and ∠3
∴ m∠1 + m∠2 + m∠3 = 180°
∵ Two of the angles of the triangle are 30° and 70°
∴ m∠1 = 30°
∴ m∠2 = 70°
→ Substitute them in the rule above
∴ 30° + 70° + m∠3 = 180°
→ Add the like terms
∵ (30 + 70) + m∠3 = 180
∴ 100 + m∠3 = 180
→ Subtract 100 from both sides
∵ 100 - 100 + m∠3 = 180 - 100
∴ m∠3 = 80°
∴ The third angle measures 80°
Which of the following is the independent variable of G(F(y)) ?
A. F(x)
B. x
C.у
D. G(F(y))
SUBMIT
Answers
Given:
The composition of functions is G(F(y)).
To find:
The independent variable of G(F(y)).
Solution:
Independent variable is the variable whose value independent from other variable. It means the value of independent variables is not depend on the other variable.
We know that G(F(y)) can be written as
[tex]G(F(y))=(G\circ F)(y)[/tex]
Here, the value of function G depends on F(y) and the value of F(y) depend on variable y. But value of y does not depend on any variable. So, y is the independent variable of G(F(y)).
Therefore, the correct option is C.
Jacob has 1/2 of a container of trail mix. He is filling snack packs that each use about 1/6 of a container. How many snack packs can Jacob make?
Answers
Answer:
x = 3
Step-by-step explanation:
Jacob has 1/2 of a container of trail mix.
He is filling snack packs that each use about 1/6 of a container
We need to find the number of snack packs can Jacob make. Let he can make x snack packs.
[tex]\dfrac{1}{6}x=\dfrac{1}{2}\\\\x=3[/tex]
Hence, he can make 3 snack packs.
what is 5x + 8x2 + 32x + 17x2
Answers
Answer:
The answer is 37x + 5.
Step-by-step explanation:
5x + 8*2 + 32x + 17*2
37x + 16 + 34
37x +50
Somebody please help quickly
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There are three numbers for the combination to the store's safe. The first number is 17. The other two numbers can be multiplied together to give a product of 28. What are all of the possibilities for the other two numbers? Write your answers as multiplication equations, and then write all of the possible combinations to the safe.
Answers
Answer:
See Explanation
Step-by-step explanation:
Let the numbers be [tex]a, b\ and\ c.[/tex]
[tex]a = 17[/tex]
[tex]b * c = 28[/tex]
Required
Determine the possibilities for the other two
The possibilities of the other two (as a product) are:
[tex]1 * 28 = 28[/tex]
[tex]2 * 14 =28[/tex]
[tex]4 * 7 = 28[/tex]
All possible combinations are (where order is not important): 17 1 28, 17 2 14 and 17 4 7
3x+4y=24
2x+5y=2
Please help me with this problem
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Answer:
x=16
y=-6
Step-by-step explanation:
The equation of line p is y= -7/8x + 3/2. line q is parallel to line p. what is the slope of line q?
Answers
Answer:
The slope of Line q is -7/8.
Step-by-step explanation:
Remember that for two lines to be parallel, their two slopes must be equivalent.
We are given that the equation of Line p is:
[tex]\displaystyle y=-\frac{7}{8}x+\frac{3}{2}[/tex]
So, the slope of Line p is -7/8.
Line p is parallel to Line q. Therefore, the two lines have the same slope.
Hence, the slope of Line q must also be -7/8.
The tax on a $20 item is $1.12. How much tax will there be for an item that used to cost $50, but is now on sale
for 45.50?
Answers
Answer:2.56
Step-by-step explanation:20x2 is 40 1.12x2 is 2.24 add half of 1.12 is 2.80-.23 is 2.56
Work out the area of a semicircle with radius 3 cm.
Give your answer in terms of it.
3 cm
Answers
Answer:
Step-by-step explanation:
Area of circle = pi r^2 = (22/7) × 9
Area of semi circle = (22/14) × 9 =14.14 cm^2
the answer to the length of x is in mm. please help!
Answers
Answer:
3.69 mm
Step-by-step explanation:
So it's a right triangle so you can use a^2+b^2=c^2
Plugging in what we know the equation becomes:
2.8^2+2.4^2=c^2 (C = x because x is the hypotenuse)
7.84+5.76=c^2
13.6=c^2
The square root of 3.68782 which rounds to 3.69
So x=3.69mm
Kyle went skydiving and jumped out of a plane that was 3,700 feet in the air. He fell at a rate of 75 feet every 5 seconds. How long will it take for Kyle to hit the ground?
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Select true or false for each statement.
True
False
Surface area and volume both measure the amount of space
occupled by a solid figure.
A
B
True
False
Surface area and volume are measured using the same unit.
A
B
True
False
Surface area and volume are both attributes of solid figures.
A
B
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Answer:
1 is false
2 is false
3 is true
Step-by-step explanation:
On Monday, 414 students went on a trip to the zoo. All 9 buses were filled and 9 students had to travel in cars. Write an equation to find the number of students on each bus. Use b for your variable. Do not solve for b."
Answers
Step-by-step explanation:
let the total number of students in each bus be 'b',
Total number of students in 9 buses= 9b
Total number of students in cars= 9
Hence, Total number of students= 9b+9
= 414
Number of students in each bus = (414-9)/9
Subtract the equations
3х+4y - 17
- (3x+2y = 3)
A. 6х + 20
ов. - 6x = 14
Ос, 2у= 14
Op. бу 20
Answers
Step-by-step explanation:
3x - 3x = 0,
4y - 2y = 2y, and
17 - 3 = 14.
Hence,
3x + 4y = 17
- (3x + 2y = 3)
=> 2y = 14.
The correct answer is Option c.
Find question Mark then solve x
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9/x = x/9
The answer is =9
Fill in the blank with the correct inequality symbol.
If x>_5, then 4x __ 20
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Answer:
4x5 = 20
Step-by-step explanation:
Im not rlly sure at all but hope this helps :)
Please help it has to be in fraction form rounded all the way
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Answer:
The answer to the question provided is
0 = [tex] - \frac{6}{5} [/tex]
It has no solutions.
Divide. Write the quotient in lowest terms. 4 2/3 divided by 1/2
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Answer:
9.3 repeating
Step-by-step explanation:
Answer:
9 1/3
Step-by-step explanation:
Not sure I just used a calculator lol.
Write the equation you would use to solve for x. Then solve.
Answers
Answer:
x=12
Step-by-step explanation:
we know that the sum of the angles in a triangle is 180 degrees
to find x we have to calculate the sum of the angles
(10x-11)+(3x-2)+(3x+1)=180
10x-11+3x-2+3x+1=180
16x-12=180
16x=180+12
16x=192
x=192/16=12
Complete the TABLE of values for x+y=6.
Then:
B) On the grid draw the graph of x+y=6 for the values of x between -2 and 3.
Anyone know the answers to these?
If, so ANSWER THEM RIGHT!
Answers
Answer:
X Y
-2 8
-1 7
0 6
1 5
2 4
3 3
Step-by-step explanation:
We have the equation: x+y=6
We want to get this in the form: y=mx+b (or in this case y=x+b)
To do this we need y to be positive and by itself
So we subtract y from both sides and divide by -1 (we divide by -1 because otherwise y would be negative and that does not fit our template of y=x+b)
Doing this we have
-x+6=y
From here we just plug in numbers -2 to 3 which I will assume you know how to do
X Y
-2 8
-1 7
0 6
1 5
2 4
3 3
The sum of aanual interest and semi-annual compound interest on a sum of money for 2 years at the interest rate of 20% per annum is Rs. 18082. Find the differences.(Ans: Rs. 482)
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The differences between the annual interest and semi-annual interest will be Rs 435.78.
What is compound interest?Compound interest is the interest on a loan or deposit calculated based on the initial principal and the accumulated interest from the previous period.
We know that the compound interest is given as
A = P(1 + r)ⁿ
Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.
The same of annual interest and semi-annual compound interest on a same of money for 2 years at the interest rate of 20% per annum is Rs. 18082.
The annual interest will be
⇒ 18082(1.2)² – 18082
⇒ Rs 7956.08
The semi-annual interest will be
⇒ 18082(1.1)⁴ – 18082
⇒ Rs 8391.86
Then the differences between the annual interest and semi-annual interest will be
⇒ 8391.86 – 7956.08
⇒ Rs 435.78
More about the compound interest link is given below.
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I don’t understand...help :(
Answers
Answer:
I am your time to 50 paised the following link
Step-by-step explanation:
can you update your records and we
of 7
Express in the form n : 1.
Give n as a fully simplified fraction.
6:14
Answers
Answer:
The ratio is;
3/7 : 1
Step-by-step explanation:
Here, we want to express the given ratio in the form n:1 where n is a fully simplified fraction
Mathematically, we have this by dividing both numbers by 14
That would be ;
6/14 : 14/14
= 3/7 : 1
The cost of 5 cans of dog food is 4.35 . At this price how much do 11 cans of dog food cost?
Answers
Answer: 9.57
Step-by-step explanation:
I added 4.35 by 4.35 wich would be 10 cans and then I divided 4.35 by 5
Write the equation of the line that passes through the points (-8,3) and
(3,2). Put your answer in fully reduced point-slope form, unless it is a
vertical or horizontal line.
Answers
Answer:
Slope of a line can be found by
y~2 - y~1 / x~2 - x~1
The coordinates given are (-8,3) and (3,2)
2 - 3 / 3 - (-8) = - 1/11 this is your Slope, m
Use the Slope and either point to find b by substituting x and y and m values we know into
y=mx+b
2 = -1/11(3) + b simplify
2 = - 3/11 + b isolate b by adding 3/11 to both sides
22/11 + 3/11 = b = 25/11
Use m and b to write your equation.
y= - 1/11x + 25/11