Answers
<EOG =90° AS INDICATED IN THE DIAGRAM
<EOF+<FOG=<EOG(THEY MAKE THE ANGLE)
[tex]27 + 3y = 90 \\ 3y = 90 - 27 \\ 3y = 63 \\ \frac{3y}{3} = \frac{63}{3} \\ y= 21[/tex]
<AOB =180°( STRAIGHT LINE )
<AOE+EOF+<FOG+<GOB=<AOB(THWY MAKE THE ANGLE)
[tex]x + 27 + 3(21) + 8x + 18 = 180[/tex]
[tex]x + 27 + 63 + 8x + 18 = 180 \\ x + 8x + 27 + 63 + 18 = 180 \\ 9x - + 108 = 180 \\ 9x = 180 - 108 \\ 9x =72 \\ \frac{9x}{9} = \frac{72}{8} \\ x = 9[/tex]
ATTACHED IS THE SOLUTION
Related Questions
What is the perimeter of this 48" by 60" rug?
Answers
Your family used 27.5 gallons of gas to drive 654.5 miles. how many miles did you drive for each gallon?
Answers
Answer:
total distance = 654.5
Total gas used = 27.5
Distance per gallon = 654.5 ÷ 27.5 = 23.8
We drove 23.8 miles for each gallon of gas
Ken wants to install a row of ceramic tiles on a wall that is 21 3/8 inches wide each tile is 4 1/2 inches wide how many whole dose he need
Answers
the width of the wall is 21 3/8 = 171/8
the width of a tile is 4 1/2 = 9/2
so the number of tiles is
(171/8) / (9/2) = 171x2 / (9 x8) = 4.75
so the no of tiles needed is 5.
find the solution of the system of equations
9x+y=28
3x+3y=-12
Answers
Answer:
(4, - 8 )
Step-by-step explanation:
9x + y = 28 ( subtract 9x from both sides )
y = 28 - 9x → (1)
3x + 3y = - 12
substitute y = 28 - 9x into (2)
3x + 3(28 - 9x) = - 12 ← distribute parenthesis on left side and substitute
3x + 84 - 27x = - 12
- 24x + 84 = - 12 ( subtract 84 from both sides )
- 24x = - 96 ( divide both sides by - 24 )
x = 4
substitute x = 4 into (1)
y = 28 - 9(4) = 28 - 36 = - 8
solution is (4, - 8 )
Corey is designing a rectangular garden. the garden's diagonal must be 15.6 feet, and the ratio between the garden's base and height must be 12 : 5. find the length of the garden's base and height.
Answers
The base of the garden is 14.4 feet.
The height of the garden is 6 feet.
Given,
Corey is designing a rectangular garden;
The diagonal of the garden = 15.6 feet
Ratio between garden's base and height = 12:5
We have to find the length of base and height of the garden.
Here,
Diagonal of a rectangle, d = [tex]\sqrt{base^{2}+ height^{2} }[/tex]
Base = 12x
Height = 5x
Then,
Diagonal, 15.6 = [tex]\sqrt{(12x)^{2} + (5x)^{2} }[/tex]
15.6 = [tex]\sqrt{144x^{2} +25x^{2} }[/tex]
15.6 = √169x²
15.6 = 13 √x²
15.6 = 13x
x = 15.6/13
x = 1.2
Then,
Base of the garden = 12 x 1.2 = 14.4 feet
Height of the garden = 5 x 1.2 = 6 feet
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Y(x)=11 and y(x)=7
1 2
Answers
Answer: .63
Step-by-step explanation: y(11)=7
y(11)/11=7/11
Noah was asked to compute the product of two numbers. He misread the problem and entered the sum of the two numbers instead. Luckily he still got the right answer. One of the two numbers is $5$. What is the other number?
Answers
Answer:
1.25
Step-by-step explanation:
5 X 1.25 is 6.25 and 5 + 1.25 is 6.25
How do the laws of exponents apply to algebraic expressions
Answers
The laws of exponents are useful to solve algebraic expression as shown below.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them. Variables are the name given to these symbols because they lack set values. We frequently observe constant change in specific values in our day-to-day situations. But the need to depict these shifting values is ongoing. These values are frequently represented in algebra by symbols such as x, y, z, p, or q, and these symbols are known as variables. In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
The laws of exponents (sometimes referred to as the rules of exponents) allow us to simplify expressions by using our understanding of what an exponent implies.
The goal is to write algebraic expressions as simply as you can in both situations.
Recall that an exponent indicates the number of times to multiply a number, variable, or expression by itself.
[tex]x^4=x \cdot x\cdot x\cdot x[/tex]
and, [tex](x+5)^3=(x+5)(x+5)(x+5)[/tex]
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Find the solutions to the equations 20+brainliest
Answers
The solutions to the rational equation x / (x + 4) = 20 / (x² + 3 · x - 4) + 2 / (x - 1) are 7 and - 4, respectively.
How to simplify a rational equationIn this problem we find a rational equation that must be solved for x by means of algebraic properties. The complete procedure is shown below:
Step 1 - We have the following expression:
x / (x + 4) = 20 / (x² + 3 · x - 4) + 2 / (x - 1)
Step 2 - Factor x² + 3 · x - 4:
x / (x + 4) = 20 / [(x + 4) · (x - 1)] + 2 / (x - 1)
Step 3 - By existence of multiplicative inverse, modulative, associative and commutative properties:
[x · (x - 1)] / [(x + 4) · (x - 1)] = 20 / [(x + 4) · (x - 1)] + [2 · (x + 4)] / [(x + 4) · (x - 1)]
Step 4 - By compatibility with multiplication, existence of multiplicative inverse, modulative, associative and commutative properties:
x · (x - 1) = 20 + 2 · (x + 4)
Step 5 - By distributive property:
x² - x = 20 + 2 · x + 8
Step 6 - By compatibility with addition, distributive, modulative and associative properties:
x² - 3 · x - 28 = 0
Step 7 - Factor x² - 3 · x - 28:
(x - 7) · (x + 4) = 0
Step 8 - By understanding the factors found in the previous, we get the folowing result:
x = 7 or x = - 4 Result
The solution to the equation are 7 and - 4.
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1.2.1 The number of pieces of ropes for FIVE cuts. 1.2.2 The general formula (Ta), for the number of rope pieces. 1.2.3 How many rupe cuttings will make up 153 rope pieces? 1.2.4 How many ropes pieces will result from 11 cuttings? 5 Please tu
Answers
Step 1
The number of pieces for 5 cuts is
[tex]7+4=11[/tex]Step 2
The general formula Tn, for the number of rope pieces is
[tex]\begin{gathered} a=3 \\ d=2 \\ T_n=3+(n-1)2 \\ T_n=2n+1 \end{gathered}[/tex]Step 3
How many rope cuttings will make up 153 rope pieces
[tex]\begin{gathered} 153=2n+1 \\ 152=2n \\ \frac{152}{2}=\frac{2n}{2} \\ n=76\text{ rope cuttings} \end{gathered}[/tex]Step 4
How many ropes pieces will result from 11 cuttings
[tex]\begin{gathered} T_n=2(11)+1 \\ T_n=23\text{ rope pieces} \end{gathered}[/tex]please answer fast!!!!! find x
Answers
Step-by-step explanation:
the triangles are congruent out at least similar, so both have the same angles.
therefore,
2x = 80
x = 40
Match each expression on the left with its equivalent on the right. Some answer choices on the right will not be used.
1,500 × 100
15
Answers
Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.
Explain about the expression?You must substitute a number for each variable and carry out the arithmetic operations in order to evaluate an algebraic expression. Since 6 + 6 equals 12, the variable x in the example above is equal to 6. If we are aware of the values of our variables, we can substitute those values for the original variables before evaluating the expression.
The idea of an expression number makes use of the method of allocating single-digit numbers (1 to 9) to the letters of the English alphabet, starting with A. The main mathematical advancements utilizing these number patterns are highlighted in the next section.
An expression is, for instance, 3x - 2. While an equation, on the other hand, denotes the connection between two separate expressions via an equal to sign.
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What is the value of the the 9 in 194.6
Answers
The place value of 9 in 194.6 is tens or 90.
According to the question,
We have the following expression:
194.6
Now, we know that place value of any digit can be found easily. The place value of the digit at the right most corner (of a number without any decimal point) is unit, left to this digit we have place value of tens, then we have hundred, then thousand, ten thousand, etc.
Now, in this case, we have a decimal point. So, we will look at the last digit before the decimal point because it's place value is unit place. And the next left digit to this is tens.
Hence, the place value of 9 in 194.6 is tens.
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Carmen participated in a walkathon to
raise money for the local library. Before the
hour-long event began, Carmen estimated
that she would walk 3.5 miles, but she
ended up walking 4 miles. What is the
percent error for Carmen's estimate?
Answers
Answer:
Step-by-step explanation:
12%
Answer:
12.5%
Step-by-step explanation:
PLS HELP ON THIS 50-(-20)
Answers
Roger and Rita each drive at a constant speed between Phoenix and San Diego. Each driver’s distance (miles) is shown for the same elapsed time (hours) of the trip. Who had a head start, and how many miles was the head start?
Answers
If each driver’s distance (miles) is shown for the same elapsed time (hours) of the trip. The person that had a head start is: Rita had a 28-mile head start.
Determining the speedSlope for speed = (y² - y1) / (x² - x1)
Slope for speed = (130 - 65) / (2 - 1)
Slope for speed= 65 / 1
Slope for speed= 65 mph
Determining Roger's starting position if Roger distance is 65.
Hence,
Mile of head start = Slope of speed - Roger distance
Mile of head start = 65 mph - 65 miles
Mile of head start = 0 miles
Rita starting position if Rita distance is 93
Slope for speed = (y² - y1) / (x² - x1)
Slope for speed = (158 - 93) / (2 - 1)
Slope for speed = 65 / 1
Slope for speed = 65 mph
Mile of head start = Slope of speed - Rita distance
Mile of head start = 93 - 65
Mile of head start= 28 miles
Therefore we can conclude that Rita has a head start of 28 miles.
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Answer:
Rita had a 28-mile head start.
Step-by-step explanation:
EDGE
the difference between 5 more than x and twice x is 17
Answers
Answer:
x = -12
Step-by-step explanation:
Hello!
The sentence can be represented as (x + 5)-(2x) = 17.
We can solve for x by isolating the variable.
Solve for xx + 5 - 2x = 17-x + 5 = 17-x = 12x = -12The value of x is -12.
Maths problem in indices. Pls help
Answers
Answer:
x = 9
Step-by-step explanation:
using the rule of indices
[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex] , then
[tex]5^{x}[/tex] = [tex]\frac{5^{8} }{5^{-1} }[/tex] = [tex]5^{(8-(-1))}[/tex] = [tex]5^{(8+1)}[/tex] = [tex]5^{9}[/tex]
since bases on both sides are equal, both 5 , then equate indices
x = 9
The exponential model A = 64.5 e0.020describes the population, A, of a country in millions, t years after
Answers
The exponential model A=64.5e^0.02t describes the population, A of a country in millions, t years after 2003. The population of the country will be 108 million in
we have the expression
A=64.5e^0.02t
For A=108
substitute
108=64.5e^0.02t
108/64.5=e^0.02t
Apply ln both sides
ln(108/64.5)=ln(e^0.02t)
ln(108/64.5)=0.02t(ln(e))
ln(108/64.5)=0.02t
solve for t
t=ln(108/64.5)/0.02
t=26 years
therefore
2003+26=2029
answer is
year 2029Which set of points would NOT define a function? A) {(-2,-2), (-1,-1), (0, 0), (1, 1), (2, 2)} B) {(-2,9), (0, 1), (1,0), (3, 4), (4,9)} C) {(-1,0), (0, 1), (0, -1), (3, 2), (3,-2)} D) {(-6, 2), (-5, 1), (-4,0), (-3, 1), (-2, 2)}
Answers
In order to a set o points define a function, a value of x can't have two different values of y.
Looking at every option, we have in the option C that the value of x = 0 has two different values of y (1 and -1), therefore this set of points do not define a function.
So the answer is C.
10 Which relation is a function?
y =
X
-1
0
1
1
2
3
(1)
y
1
0
1
2
4
9
(x,-1
(x², 2
(2)
y
(3)
{(0,1), (2,3), (3,2), (3,4)}
(4)
Answers
please fill in the missing
Answers
The spaces with inputs; 5 has an output of 16 × 4 + 6 × 25, 100 has an output of 16 × 99 + 6 × 10000, and p has an output of 16 × (p-1)+ 6 × p².
How to fill the output spaces.Following the given three examples of the outputs from inputs 1, 3 and 7, we will discover a pattern of subtracting 1 from an input, multiply the result by 16, and then add the square of the input multiplied by 6 to it.
We will derive the missing outputs as follows;
For input 5:
5 - 1= 4
16 × 4
16 × 4 + 6 × 5²
16 × 4 + 6 × 25
For input 100:
100 - 1 = 99
16 × 99
16 × 99 + 6 × 100²
16 × 99 + 6 × 10000
For input p:
p - 1
16 × (p - 1)
16 × (p - 1) + 6 × p²
Hence, the input 5 gives an output 16 × 4 + 6 × 25, input 100 gives an output 16 × 99 + 6 × 10000 and input p gives an output of 16 × (p - 1) + 6 × p² from the reasoned pattern.
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PLS BE DONE RIGHT AWAY. NO NEED TO GRAPH JUST SOLVE
Answers
Answer:
x/1
Step-by-step explanation:
8=-4x-4
4=-4x
(divide by -4)
1=x
Answer:
[tex]-1\geq x[/tex]
Step-by-step explanation:
[tex]8\leq -4(x-1)[/tex]
[tex]8\leq -4x+4[/tex]
[tex]8-4=-4x+4-4[/tex]
[tex]4\leq -4x[/tex]
[tex]\frac{4}{-4} \leq \frac{-4x}{-4}[/tex]
Inequality is reversed:
[tex]-1\geq x[/tex]
Hope this helps
the registrar of a college examined the grade point averages of different categories of students. the results showed that the probability of a meaningful difference between men and women was .27. using the most common standard, is this a statistically significant difference?
Answers
The difference of 0.27 is not statistically significant.
A statistically significant difference indicates if the responses of one group differ significantly from those of another when using statistical testing.
The statistically significant differences between the numbers really aid in your data analysis. It is up to you how to interpret or act on your results, therefore you should also think about if they are significant.Let's imagine, for instance, that you get more consumer complaints from women than from men. How do you know that this is a genuine issue that has to be addressed? To find out if your male consumers are significantly more satisfied with your goods, doing a poll is a terrific technique. Our statistical significance tool can assist you in determining whether males are considerably more satisfied with your goods than women using a statistical formula. This enables you to base decisions on facts rather than anecdotes.Now we know that any data of t-statistic that is greater than 1.96 is statistically significant.
Now the difference is 0.27. Hence it is not statistically significant.
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the admission fee at an amusement park is $2.00 for children and $7.00 for adults. on a certain day, 299 people entered the park, and the admission fees collected totaled $1573. how many children and how many adults were admitted?
Answers
Answer:
104 children and 195 adults
Step-by-step explanation:
let a represent number of adults and c represent number of children , then
a + c = 299 → (1)
7a + 2c = 1573 → (2)
multiplying (1) by - 2 and adding to (2) will eliminate c
- 2a - 2c = - 598 → (3)
add (2) and (3) term by term to eliminate c
5a + 0 = 975
5a = 975 ( divide both sides by 5 )
a = 195
substitute a = 195 into (1) and solve for c
195 + c = 299 ( subtract 195 from both sides )
c = 104
104 children and 195 adults were admitted
Estimate what fraction of the 900-mile trip the car has traveled. Write your answer in simplest form.
Answers
Based on the distance of the entire trip, the fraction of the trip that the car has travelled is 514 ²/ ₇.
How far has the car gone?The diagram is divided into 7 parts which means that each part can be said to be:
= 1/7 of the journey
The car is in the 4th part so that means that the fraction of the trip that has been traveled is:
= 4 / 7
Given the total miles of the trip, this would be:
= 4/7 x 900
= 514.29
= 514 + 29 / 100
= 514 ²/ ₇
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what is the slope of PV
Answers
Answer: -4 (-4/1)
Step-by-step explanation:
Slope is the rate of change, or rise over run. So in this case it is negative because to get from p to v we have to go down. Sow e go down 4, and across one, but we just say -4.
I dont know how to do this help!
Answers
Answer:
4[tex]\sqrt{3}[/tex]
Step-by-step explanation:
[tex]\sqrt{48}[/tex] is not in simplest form, however, 48 contains a perfect square as a factor, that is 16 × 3
using the rule of radicals
[tex]\sqrt{ab}[/tex] ⇔ [tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] , then
[tex]\sqrt{48}[/tex]
= [tex]\sqrt{16(3)}[/tex]
= [tex]\sqrt{16}[/tex] × [tex]\sqrt{3}[/tex]
= 4[tex]\sqrt{3}[/tex] ← in simplest form
Given a Figure whose points are A(9, 1), B(2, 3), C(-2, 4).
What would be the image of that figure if it goes under a translation (x, y) -> (x - 5, y + 8), what is the
coordinate of B'?
A. B'(-14, 11)
B. B'(3, 11)
C. B'(14, 11)
D. B'(-3, 11)
Answers
Answer:
B' (-3,11)
Step-by-step explanation:
B(2,3) The rule is saying subtract 5 from x and 8 add to y
(2 -5, 3 + 8)
(-3,11)
math is not fun please help
Answers
Answer:
∠ RST = 22°
Step-by-step explanation:
since ∠ RSU = 91°
and ∠ TSU = 69°
so ∠ RST = 22°
HOW:
given that;
∠ RSU = 91°
and
∠ TSU = 69°
we would subtract 69° from 91°
91°-69°= 22°