What is the value of x in the figure shown below?
С
4.7
D
42°
3.5
3.5
30
B
А A
4.7
=
Answer:
30 degrees
Step-by-step explanation:
It's a pateelogram so oppate angles are equal so
x = 30 degrees
Hope this helps :)
The measure of x is 30 degree.
What are parallel line?The fundamental characteristics listed below make it simple to recognise parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.As, we know that the Property of Parallel line are:
Corresponding angle are Equal.
Alternate interior Angles are Congruent.
Vertical angles are Congruent.
As, per the figure we can see that
AB || CD
So, by Alternate Interior Angle
<DCB = <CBA
x = 30
Thus, the measure of x is 30 degree.
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Convert the following repeating decimal into a fraction. *
___
2.111
Answer: i think that the only fraction that we can convert this into is 2111/1000
Answer:
[tex]\frac{2111}{1000}[/tex]
Step by step:
2.111 = [tex]\frac{2.111}{1}[/tex]
then, get rid of the decimal sign in 2.111 by multiplying it by 1000 since there are 3 numbers after the decimal point.
your new fraction is [tex]\frac{2111}{1000}[/tex]
Find the slope of the line that passes through (3,-7) and (-6,5).
Answer:
9,12?
Step-by-step explanation:
What’s the answer? I have to pass with my credits for high school
One-third of the total number of marbles in a jar are blue and green. There are 24 blue marbles and 18 green marbles. How many marbles are in the jar?
Answer:
126 marbles
Step-by-step explanation:
if 42 is 1/3 of the jar, times it by 3 and that's the total.
Answer:
126 marbles
Step-by-step explanation:
24 - blue
18 - green
42 are blue or green
let 't' = total number of marbles
1/3t = 42
t = 42 x 3 = 126
A frozen yogurt shop has a combination of 150 small and medium sized bowls on their counter. Each small bowl hold 4 ounces and each medium bowl holds 6 ounces. If the bowls on the counter will hold a total of 764 ounces, find the number of small and medium sized bowls on the counter
The number of small sized bowls on the counter = 68 bowls
The number of medium sized bowls on the counter = 82 bowls
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of small bowls on the counter be = x
Let the number of medium bowls on the counter be = y
The total number of bowls is = 150
So , the equation will be
x + y = 150 be equation (1)
The amount the small bowl can hold = 4 ounces
The amount the medium bowl can hold = 6 ounces
The total amount of all the bowls on the counter = 764 ounces
So , the equation will be
4x + 6y = 764 be equation (2)
Now , on simplifying the equation (1) and equation (2) , we get
Multiply equation (1) by 4 , we get
4x + 4y = 600 be equation (3)
Subtracting equation (3) from equation (2) , we get
2y = 164
Divide by 2 on both sides , we get
y = 82
Therefore the number of medium sized bowl is 82 bowls
Substituting the value of y in equation (1) , we get
x + y = 150
x + 82 = 150
Subtracting 82 on both sides , we get
x = 68
Therefore , the number of small sized bowl is 68 bowls
Hence ,
The number of small sized bowls on the counter = 68 bowls
The number of medium sized bowls on the counter = 82 bowls
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Suppose that quiz scores in a beginning statistics class have a mean of 6.6 with a standard deviation of 0.6. Using Chebyshev's Theorem, what is the minimum percentage of quiz scores between 4.8 and 8.4
Answer:
88.89%
Step-by-step explanation:
Calculation for what is the minimum percentage of quiz scores between 4.8 and 8.4
The calculated minimum percentage value of quiz scores between
First step is to calculate the lower k value using this formula
k=(x1−m)/s
Where:
x1 represent first random value 4.8
x2 represent second random value 8.4
m represent mean 6.6
s represent standard deviation 0.6
Let plug in the formula
k=(4.8−6.6)/0.6
k=−1.8/0.6
k=−3
Second step is to calculate the upper k value
k=(x2−m)/s
k=(8.4−6.6)/0.6
k=1.8/0.6
k=3
Now let calculate the minimum percentage
Using this formula
Minimum percentage=1−1/k^2
Let plug in the formula
Minimum percentage=1−1/3^2
Minimum percentage=1−1/9
Minimum percentage=1−0.1111
Minimum percentage=0.8889*100
Minimum percentage=88.89%
Therefore the minimum percentage of quiz scores between 4.8 and 8.4 is 88.89%
Answer:
75%
Step-by-step explanation:
5.2−6.40.6=−2 and 7.6−6.40.6=2.
This means that 5.2 lies 2 standard deviations below the mean and 7.6 lies 2 standard deviations above the mean.
According to Chebyshev's Theorem, at least 75% of data values lie within 2 standard deviations of the mean.
Therefore, we can say that 75% is the minimum percentage of quiz scores between 5.2 and 7.6.
Select the correct answer. Which level of government relies the most on income tax?
Answer:
The Federal government relies the most on income tax.
Step-by-step explanation:
James can eat 12 jelly beans per minute, and Jenny can eat 8 jelly beans per minute. How
many minutes will it take Jenny and James to eat a combined total of 100 jellybeans?
Answer:
5 mins.
Step-by-step explanation:
hope his helps good luck
Answer:
5 minutes
Step-by-step explanation:
Kelly saved 4/5% of her allowance. What is this percent expressed as a fraction and as a
decimal?
Fraction:
Decimal:
which equation represents a line parallel to the y axis?
A: y=x
B: x=4
C: y=4
D: y=x+4
Olivia is cutting a 1 1/2m by 3/4m piece of rectangular paper into two pieces along its diagonal.
Find the area of each of the pieces
Answer:
Step-by-step explanation:
1½ m = 1.5 m
¾ m = 0.75 m
area of rectangle = 1.5×0.75 = 1.125 m²
Each piece is half the rectangle. Area of one piece = 0.5625 m²
I will give brainiest to whoever answers correctly !!
The country's population decreased by about 2.4% during this time period.
Since we have given that
In 1990, the number of people = 167 million
In 2010, the number of people = 163 million
We need to find the percent decrease in the country's population during this time.
Percentage would be
New - Original x 100/original
= 163 - 167/167 x 100
= -4/167 x 100
=-2.39%
=-2.4%
Hence, the country's population decreased by about 2.4% during this time period.
Type of problem: Percentage decrease
Step 1: Find the difference between the two numbers
(Difference = original number - new number)
164,000,000 - 155,000,000 = 9,000,000
Step 2: Divide the difference by the original number
9,000,000 / 164,000,000 = 0.05487804878
Step 3: Multiply by 100 and round to find the percent
0.05487804878 x 100 = 5.48780487805
Round to one place = 5.5
Answer: 5.5% decrease in the population
Hope this helps!! :)
Help plzzzz I need it
Answer:
D
Step-by-step explanation:
The answer is D because when you look at an ordered pair it is (x , y) the x stands for x-axis and y for y-axis. The x numbers are the ones on the bottom line going horizontally across your screen and the y numbers are the ones on the left side of the graph going up and down. Therefore when you are looking at (1.5 , 9) you start on the bottom line and go to 1.5 then go strait up to 9 on the line on the left and thats where the point is! Hope this helps, let me know if somthing doesn't make sense!
WG-W Online Textboo
WOODALFEPNSNJ
Homework 6.4-6.6
Question 8 of 13 (1 point) | Question Attempt: 1 of Unlimited
Tin
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2
X 4
✓5
✓6
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9
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13
The Watson family and the Nelson family each used their sprinklers last summer. The water output rate for the Watson family's sprinkler was 35 L per hour. The
water output rate for the Nelson family's sprinkler was 25 L per hour. The families used their sprinklers for a combined total of 60 hours, resulting in a total
water output of 1700 L. How long was each sprinkler used?
Note that the ALEKS graphing calculator can be used to make computations easier.
Answer:
We have two variables W and NW= 35 L N = 25L Total: 60 hrs respectfully between W and N Total Water: 1700 L 35W + 25N = 1700 (1)W + N = 60 (2)Just substitute!N = 60 + W 35W + 25(60 + W) = 170035 W + 1500 + 25W = 170060W + 1500 = 170060W = 200 W = 3.33 Now solve for NUse the discriminant to describe the roots of each equation. Then select the best description.
2 = x2 + 5x
double root
real and rational root
real and irrational root
imaginary root
[tex]2 = {x}^{2} + 5x[/tex]
Arrange the expression into the standard form.[tex]0 = {x}^{2} + 5x - 2 \\ {x}^{2} + 5x - 2 = 0[/tex]
DiscriminantFrom the standard form equation and from the given equation.
[tex]a {x}^{2} + bx + c = 0 \\ a = 1 \: \: \: b = 5 \: \: \: c = - 2[/tex]
Discriminant Formula
[tex]D = {b}^{2} - 4ac[/tex]
Substitute the value of terms in the discriminant formula.
[tex]D = {(5)}^{2} - 4(1)( - 2) \\ D = 25 - 4( - 2) \\ D = 25 + 8 \\ D = 33[/tex]
Discriminant Types
[tex]D > 0 \: \: \: \: 2 \: \: real \: \: roots \\ D = 0 \: \: \: \: 1 \: \: real \: \: root \\ D < 0 \: \: \: imaginary \: \: roots[/tex]
We can rule out the Imaginary root and double root because the discriminant is greater than 0. Therefore, the only choices are either Irrational or Rational.
However, we cannot factor the expression by using two brackets or common factor. We can say that the equation has two real irrational roots.
Answerreal and irrational root"" Find a vector equation and parametric equations for the line. (Use the parameter t.) The line through the point (0, 11, −9) and parallel to the line x = −1 + 3t, y = 6 − 3t, z = 3 + 7t
Find the tangent vector T to the given line (t) = 〈 x(t), y(t), z(t) 〉, with parametric equations,
x(t) = -1 + 3t
y(t) = 6 - 3t
z(t) = 3 + 7t
by differentiating (t) component-wise:
T = '(t) = 〈 dx(t)/dt, dy(t)/dt, dz(t)/dt 〉
T = 〈3, -3, 7〉
Scale T by any real number t to get the line through the origin (when t = 0) and the point (3, -3, 7) (when t = 1), which of course runs parallel to '(t). This gives the vector tT. Translate this by any vector v = 〈a, b, c〉 to force this line to pass through the point (a, b, c) instead of the origin, while still remaining parallel. You want the new line to pass through (0, 11, -9), so take v = 〈0, 11, -9〉.
Then the vector equation of the new line is
tT + v = t 〈3, -3, 7〉 + 〈0, 11, -9〉 = 〈3t, 11 - 3t, -9 + 7t〉
with parametric equations
x(t) = 3t
y(t) = 11 - 3t
z(t) = -9 + 7t
In a farm, ratio of number of cows to number of hens is 2:3. If the number of legs is 40 more than number of eyes, total of how many hens are there in the farm?
Answer:
30 hens, 20 cows.
Step-by-step explanation:
Step one:
let the number of cows be x
and the number of hens be y
Each cow has 2 eyes, each hen has 2 eyes also.
the total number of eyes is
2x+2y
Each cow has 4 legs, each hen has 2 legs.
the total number of legs is
4x + 2y
Step two:
the number of legs exceeds the number of eyes by 40:
4x+2y - (2x+2y) = 40
open bracket
4x+2y-2x-2y=40
4x-2x=40
2x=40
Divide both sides by 2
x=40/2
x=20
Step three:
we know also that x = 2/3*y, so y = 3/2*x = 3/2 * 20 = 30
30 hens, 20 cows.
Check:
60 + 40 eyes = 100, 60 + 80 legs = 140legs.
1. What is 5% of 224?
Answer:
11.2
Step-by-step explanation:
224 x 0.05 = 11.2
Hope this helped!
i believe it is 12.2
Determine whether or not the following graph represents two quantities that are proportional to each other. Explain your reasoning.
Answer:
Not proportional.
Step-by-step explanation:
The values do not begin from a straight line at the origin. X begins at 2, not the origin.
Given: а | b | c | d and KP = 24
FK
a
Find: KM =
1. Which of the following is an irrational number?
A. 3
B. 3.666...
C. 19
D. Vg
Answer:
Vg
Step-by-step explanation:
All the others are decimals
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Marisol drove 3 hours from City A to City B. The equation below estimates the distance d, in
miles, Marisol traveled after driving for t hours.
d = 45t
Answer:
Step-by-step explanation:
D*RT
D=45*3
D=135
Marisol drove 135 MI.
The Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
According to the question
Marisol drove for from City A to City B = 3 hours
Equation below estimates the distance d, in miles for t hours.
d = 45t
now , substituting the value
d = 45 * 3
d = 135 miles
Hence, the Marisol drove from City A to City B for 3 hours and distance covered is 135 miles .
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inequalities of x + 9 < 12 I need help solving this
You spent 25% of your monthly wages on rent. If you earned $75,350 last year,
how much did you spend on rent each month?
EMERGENCY!!!!
I have fallen and can't get up.
Answer:
do you need a bandaid?
Step-by-step explanation:
Step-by-step explanation:
Wth?
Are u okay??
call 911
Drag the point A to the location indicated in each
scenario to complete each statement.
Answer:
The answer is...
1: quadrant III
2: quadrant II
3: quadrant IV
4: quadrant I
Step-by-step explanation:
If A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||, If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||, If A is in quadrant ||, and is multiplied by a negative scalar C, CA is in Quadrant |V and If A is in quadrant ||I, and is multiplied by a negative scalar C, CA is in Quadrant |.
What is Coordinate system?Coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points.
The point A to the location indicated in each scenario.
If A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||
If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||
If A is in quadrant ||, and is multiplied by a negative scalar C, CA is in Quadrant |V
If A is in quadrant ||I, and is multiplied by a negative scalar C, CA is in Quadrant |.
Hence, A is in quadrant |, and is multiplied by a negative scalar C, CA is in Quadrant |||, If A is in quadrant ||, and is multiplied by a positive scalar C, CA is in Quadrant ||, If A is in quadrant ||, and is multiplied by a negative scalar C, CA is in Quadrant |V and If A is in quadrant ||I, and is multiplied by a negative scalar C, CA is in Quadrant |.
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what is F?
H is 5m
I is 8m
G is 10m
Answer: F is 11m.
Step-by-step explanation: Because H,I,G are all increasing their numbers like plus 3, plus 2, and the last one has to be plus 1.
x + 2 + (1.5x -6) =16 what is X
Answer:
8+2+(1.5*8-6)
Step-by-step explanation:
8=x
Answer:
x = 8
Step-by-step explanation:
x + 2 + (1.5x - 6) = 16
2.5x - 4 = 16
2.5x = 20
x = 20/2.5
x = 8
Can someone help me?
Answer:
QR is 1.2 due to both triangle are similar
Answer:
the answer should be 0.96 units
Step-by-step explanation:
1.6/2.0=.8
.8x1.2= .96