Answers
Answer:
x = 12
Step-by-step explanation:
An exterior angle of a triangle is equal to the sum of its opposite interior angles in a triangle
∠CBV is an exterior angle and ∠BCD and ∠CDB are ∠CBV's opposite interior angles
This means that ∠BCD + ∠CDB = ∠CBV
If we are given that ∠CBV = 9x - 3, ∠BCD = 5x + 15 and ∠CDB = 30
Then 9x - 3 = 5x + 15 + 30
^ (Note that we just created an equation we can use to solve
for x )
We then use the equation we created to solve for x
9x - 3 = 5x + 15 + 30
step 1 combine like terms
30 + 15 = 45
we now have 9x - 3 = 5x + 45
step 2 add 3 to each side
-3 + 3 cancels out
45 + 3 = 48
we now have 9x = 5x + 48
step 3 subtract 5x from each side
9x - 5x = 4x
5x - 5x cancels out
we now have 4x = 48
step 4 divide each side by 4
48 / 4 = 12
4x / 4 = x
we're left with x = 12
Answer:
30+5x+15=9x-3
9x-5x =45+3
4x=48
x =12
Related Questions
△JKL has vertices at J(−2, 4), K(1, 6), and L(4, 4). Determine whether △JKL is a right triangle. Explain. please with full calculations
Answers
Answer:
below
Step-by-step explanation:
basically find the line that connects JK and KL, and since its 2/3 and -2/3 which are not opposite reciprocals, the points dont form a right triangle
Simplify the expression and write any restrictions.
Answers
Answer:
Numerator :
[tex]8x^2 - 10x + 3 = 8x^2 -6x -4x + 3[/tex]
[tex]= 2x(4x -3)-1(4x -3) \\= (2x-1)(4x-3)[/tex]
Denominator :
[tex]6x^2 + 3x -3 = 6x^2 +6x -3x - 3[/tex]
[tex]=6x(x+1)-3(x+1)\\=(6x-3)(x+1)\\=3(2x-1)(x+1)[/tex]
[tex]\frac{8x^2-10x+3}{6x^2+3x -3} = \frac{(2x-1)(4x-3)}{3(2x-1)(x+1)} = \frac{(4x-3)}{3(x+1)}[/tex]
Find the volume of a pyramid with a square base, where the perimeter of the base is
9.9 cm and the height of the pyramid is 8.6 cm. Round your answer to the nearest
tenth of a cubic centimeter.
Answers
The volume of a pyramid with a square base is 17.6 cubic centimeter.
Given the following data;
Perimeter of base = 9.9 cmHeight of pyramid = 8.6 cmTo find the volume of a pyramid with a square base;
Mathematically, the volume of a pyramid with a square base is given by the formula;
[tex]V = A(\frac{h}{3})[/tex]
Where;
V is the volume of a pyramid with a square baseA is the area of the square base.h is the height of the pyramid.First of all, we would determine the length of sides of the square base from its perimeter;
[tex]Perimeter \ of \ square = 4s\\\\9.9 = 4s\\\\s = \frac{9.9}{4}[/tex]
s = 2.475 cm
Next, we would determine the area of the square;
[tex]Area \ of \ a\ square = s^{2} \\\\Area \ of \ a\ square = 2.475^{2}[/tex]
Area of a square = 6.126 cm
Now, we would use the above value to find the volume of a pyramid with a square base.
Substituting the values into the formula, we have;
[tex]V = 6.126*(\frac{8.6}{3})\\\\V = 6.126*2.867[/tex]
Volume, V = 17.6 cubic centimeter
Therefore, the volume of a pyramid with a square base is 17.6 cubic centimeter
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The spinner shown has congruent sections. The spinner is spun 63 times. What is a reasonable prediction for the number of times the spinner will land on a section that is shaded red?
Answers
Answer:
36 times
Step-by-step explanation:
Given
[tex]Red = 4[/tex]
[tex]Total = 7[/tex]
[tex]n = 63[/tex]
See attachment
Required
Predicted number of times to land on red
First, we calculate the probability of landing on red
[tex]Pr = \frac{Red}{Total}[/tex]
[tex]Pr = \frac{4}{7}[/tex]
The predicted number of red is the =n calculated as:
[tex]Red = Pr * n[/tex]
[tex]Red = \frac{4}{7}*63[/tex]
[tex]Red = 4 * 9[/tex]
[tex]Red = 36[/tex]
After 4 years eldi will be three times the age he had 10 years ago. Using algebra find the age of eldi
Answers
Suppose that Eldi has x years old now :
x + 4 = 3 × ( x - 10 )
x + 4 = 3x - 30
Add both sides 30
x + 4 + 30 = 3x - 30 + 30
x + 34 = 3x
Subtract both sides x
x - x + 34 = 3x - x
34 = 2x
2x = 34
Divide both sides by 2
2x ÷ 2 =34 ÷ 2
x = 17
_____________________________
Thus Eldi is 17 .
What is the radius of this circle of the circumference is 18pi cm?
Answers
Answer:
r=9cm
Step-by-step explanation:
C= 2pi r = 18 pi so
2r =18 so r = 18/2=9
Answer:
[tex]r=9[/tex]
Step-by-step explanation:
The equation to find the circumference of a circle when given the radius is the following,
[tex]C=r(\pi)(r)[/tex]
There (C) represents the circumference, (r) represents the radius, and ([tex]\pi[/tex]) represents the irrational numbers (3.1415...)
Substitute in the given values and backsolve for the radius,
[tex]18(\pi)=2(\pi)(r)[/tex]
Inverse operations,
[tex]18(\pi)=2(\pi)(r)[/tex]
[tex]9=r[/tex]
Write an inequality for the graph below.
please help
Answers
Answer:
-6 ≥ -1
Step-by-step explanation:
Hope this helps!
what is the answer of 7=-5/4(8)+c?
Answers
Answer:
17
Step-by-step explanation:
7=-5/4(8)+c
7=-40/4+c
7=-10+c
c=7-(-10)
c=7+10
c=17
Whoever solves it correctly will get 32 points
Answers
plis help me answer this question plis also give expolaniaton
Answers
Answer:
Option c and d is right.
Step-by-step explanation:
CHECK BY MULTIPLYING THEM.
Answer:
Answer C and D are correct.
Step-by-step explanation:
In c, 2m + m=3m, and then adding the 2 leaves you with 3m+2.
In d, m+m+m=3m, and then again you add the two.
Credit becomes a problem when
A. banks begin to issue their own credit cards
B.credit is used to pay for things like college tuition
C.credit card companies offer people additional credit cards
D. a person cannot find the money to pay their monthly bills
Clear answer
Answers
Answer:
D. a person cannot find the money to pay their monthly bills
In a bag, there are 8 blue marbles, 4 yellow marbles, and 6 red marbles. First question: What is the probability of not selecting a blue or yellow marble? Second question: What is the probability of first selecting a red marble, then selecting a yellow marble? Third question: What is the probability of first selecting a blue or yellow marble, replacing the marble, then selecting a red or blue marble?
Answers
Answer:
Question 1
P(not b or y) = P(r) = 6 / (8 + 4 + 6) = 6 / 18 = 1/3Question 2
Assumed no replacement here
P(r then y) = 6/18 * 4/17 = 4/51Question 3
P(b or y) = (8 + 4) / 18 = 12/18 = 2/3P(r or b) = (6 + 8)/18 = 14/18 = 7/9P(b or y then r or b) = 2/3*7/9 = 14/27Liam puts 40$ in savings in March and 175% of this amount in savings in April. How much does Liam put in savings in April?
Answers
Answer:
$70
Step-by-step explanation:
You want 175% of $40.
175% as a decimal = 1.75
1.75 times 40 = 70
Therefore Liam put $70 in savings in April
Answer:
70
Step-by-step explanation:
Multiply 40$ by 175% :)
5. A construction area has 6 cylindrical posts protecting the
equipment. They are filled with sand to reinforce them. If each
cylinder is 4 feet tall and has a diameter of 1 foot, how much sand
was needed to fill the cylinders?
Record your answer and fill in the bubbles on your answer. (If it’s wrong or random you will be reported)
document. Be sure to use the correct place value.
Answers
Answer: what’s the answer ?
Step-by-step explanation:
If each cylinder is 4 feet tall and has a diameter of 1 foot then the amount of sand needed to fill the cylinders is 19 cubic feet.
Given that there are 6 cylindrical posts protecting the equipment
To find tge amount of sand needed for cylinders,
We need to find the volume of each cylinder.
The cylinder is 4 feet tall and has a diameter of 1 foot,
Height is 4 feet
Diameter is 1 foot and radius is 1/2 feet.
Volume of cylinder = πr²h
=3.14×(1/4)(4)
=3.142 cubic feet.
As there are six cylinders.
Multiply 6 with 3.142
Amount of sand needed = 6×3.142
= 18.852 cubic feet.
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What is the total surface area of the square pyramid below?
A square pyramid. The square base has side lengths of 6 meters. The triangular sides have a height of 8 meters.
132 m2
144 m2
160 m2
228 m2
Answers
144 m2
hope this help:)
Answer:
144 m2
Step-by-step explanation:
The bisectors of the perpendicularity of the vectors
What is the perimeter of the triangle? Show your work.
Y
12
9
Answers
Answer:
36
Step-by-step explanation:
So to find the last angle first. The formula is a power 2+b power 2=c power 2
So 9 power 2 is 81 and 12 power 2 is 144
144+81=225
the square root of 225 is 15. So x is 15
No we just have to do 9+12+15=36.
36 is the perimeter
help due today right now
Answers
Answer:
Input the numbers into this equation and then you get your answer :)
a^2+b^2=c^2
hope this works for u :)
Answer:
using pythagoras theorem
H^2=P^2+B^2
here h =c and 15 be p and 8 be b
H^2=P^2+B^2
C^2=15+8^2
C^2=225+64
C^2=289
C=[tex]\sqrt{289}[/tex]
C=17 ft
Step-by-step explanation:
Find the mean of this data set: 2, 5, 5
Answers
Answer:
Mean = 4
Step-by-step explanation:
[tex]Mean = \frac{\sum x}{n} = \frac{2 + 5+ 5}{3} = \frac{12}{3} = 4[/tex]
Answer:
4
Step-by-step explanation:
Mean is average, so you would add every number up, then divide by the numbers you have, So 2+5+5 divided by 3 would be 4
I need answers asap.
Answers
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Answers
Answer:
The second option, external conflict w/other citizens who don't want the Cinema.
Step-by-step explanation:
3
Select the correct answer.
Which data set has the greatest spread for the middle 50% of its data?
O A. {18, 13, 22, 17, 21, 24}
OB.
{17, 19, 22, 26, 17, 14}
Ос.
{13, 17, 12, 21, 18, 20}
D.
{18, 21, 16, 22, 24, 15)
Reset
Next
Answers
Answer:
D
Step-by-step explanation:
An online music store offers 2 downloads for $7.50. Another online music store offers 12 downloads for $20.20 which store offers the better deal
Answers
Answer:
the second store has the better deal.
Step-by-step explanation:
12 ÷ 2 = 6
7.5 × 6 = 45
20.2 < 45
A radio station broadcasts a signal over an area with a 120-mile diameter. The population density of the area is 100 people per square mile.
How many people are within receiving distance of the broadcast signal?
Use 3.14 for pi.
Answers
Answer:
1,130,400 people
Step-by-step explanation:
Find the area of the broadcasting area, using the circle area formula.
Since the diameter is 120 miles, the radius will be 60 miles.
Use the circle area formula, plug in 60 as r, and plug in 3.14 as pi:
A = [tex]\pi[/tex]r²
A = (3.14)(60²)
A = 11304
So, the area is 11304 square miles
To find how many people are in receiving distance, multiply this by 100, since there are 100 people per square mile.
11304(100)
= 1,130,400
So, 1,130,400 people are within receiving distance of the signal.
Answer:
1,130,400
Step-by-step explanation:
Ken recorded the weights (in pounds) of 78 boxes. He created a box plot of his data. What is the interquartile range of Ken’s data?
A) 8
B) 10
C) 17
D) 48
Answers
The interquartile range(IQR) of the recorded weight of ken is calculated as 17 pounds.
What is the interquartile range of a data?The interquartile range(IQR) = third quartile(Q3) - first quartile(Q1)
The third quartile of in the box plot given is : 56 pounds
The third quartile of the data as represented in the box plot given :
39 pounds
The interquartile range(IQR) of ken's data = 56 - 39
= 17 pounds
Hence, The interquartile range(IQR) of the recorded weight of ken is calculated as 17 pounds.
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You roll a 6-sided die.
What is P(divisor of 63)? Choose the closest answer.
Answers
Answer:
the divisors of 63 are
Step-by-step explanation:
1,3,7,9,21,63
Answer:
Fraction Form: 2/6 or 1/3
or Decimal Form: .333
or Percent Form: 33.333?%
Step-by-step explanation:
The divisors of 63 that are 1-6 is 1 and 3
So there are TWO numbers out of SIX.
We would turn that into the fraction 2/6 and then simplify (optional) it to 1/3.
Then we use 2/6 to convert it to multiple forms if needed.
Work out the size of the angle marked X.
Give your answer correct to 1 decimal place.
Answers
Answer:
41.8°
Step-by-step explanation:
We solve using the Trigonometric function of Sine
Hypotenuse = 15cm
x = θ
Opposite = 10cm
sin θ = Opposite/Hypotenuse
sin θ = 10/15
θ = arc sin ( 10/15)
θ = 41.810314896°
θ = Approximately to 1 decimal place = 41.8°
Therefore, x = θ = 41.8°
Please help me after this one I have one more
Answers
Answer:
3 2/21
Step-by-step explanation:
used a calculator
A garden hose is leaking 1 liter of water every 1/8 hour. How many liters of water will it leak in 3 ¾ hours? *
Answers
Therefore, 1/8 of 60 is 7.5, meaning, 1 litre of water is leaked every 7.5 minutes.
3¾ hours is 60 x 3 + 60/4
= 180 + 15
= 195 minutes
As 3 ¾ hours is 195 minutes and 1 litre is leaked every 7.5 minutes, we have to divide 195 by 7.5.
195/7.5 = 26
Therefore, the garden hose will leak 26 litres in 3 ¾ hours.
hey! i’ll give brainliest pls help.
Answers
Answer:
Life forms change over time
Step-by-step explanation:
Identify the following solid figure.
hexagonal prism
pentagonal prism
rectangular prism
triangular prism
QUICK PLEASE!!
Answers
The Answer is A. Hexagonal prism
God bless u! ❤️
The base is a hexagon
The top is also hexagon
The sides are rectangle
Hence the polygon is hexagonal prism