Answers
The value of x can be calculated as,
[tex]\begin{gathered} \text{ summation of angles = 360}^{\circ} \\ 12x+90+(2x+5)+(17x-14)=\text{ 360}^{\circ} \\ 31x+95-14=360 \\ 31x=360-81 \\ 31x=279^{\circ} \\ x=\frac{279^{\circ}}{31} \\ x=9 \end{gathered}[/tex][tex]\begin{gathered} \text{mAD }=\text{ 12x} \\ =12\times9 \\ =108^{\circ} \end{gathered}[/tex][tex]\begin{gathered} \text{mBC}=(2x+5)^{\circ} \\ =(2\times9)+5 \\ =18+5 \\ =23^{\circ} \end{gathered}[/tex][tex]\begin{gathered} \text{mDC }=(17x-14)^{\circ} \\ =(17\times9)-14 \\ =153-14 \\ =139^{\circ} \end{gathered}[/tex][tex]\begin{gathered} \text{mDBC }=\text{ }(2x+5)^{\circ}+(17x-14^{})^{\circ} \\ =23^{\circ}+139^{\circ} \\ =162^{\circ} \end{gathered}[/tex]Related Questions
Julie can run 3 laps in 9 minutes. At this rate, how many laps can she run in 24 minutes?
Answers
In 24 minutes Julie can run 8 laps.
What is proportion ?
A proportion is an equation based on the equality of two ratios.
Here it is given that :
Julie can run 3 laps in 9 minutes that is :
in 9 minutes = 3 laps
Now, to find the laps covered by Julie in 24 minutes we first find the laps rate per minutes by dividing 9 both the side :
in 9/9 minutes = 3/9 laps
in 1 minutes = 1/3 laps
Multiply 24 both the side :
in 24 minutes = 24/3 laps
in 24 minutes = 8 laps
Therefore, in 24 minutes Julie can run 8 laps.
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HELP PLEASEEEEEEEEE!!!!!!!! ILL MARK BRAINLIEST
Answers
Answer:
I'm not %100 sure this is correct but it seems like it wants a decimal
Step-by-step explanation:
D is 0.37
R is 0.34
That's the only thing that makes sense.
Please mark brainliest if correct!
given the following system identify the type of system x+y=4x-y=6
Answers
SOLUTION
Given the question, the following are the solution steps to answer the question.
STEP 1: Write the given system of equation
[tex]\begin{gathered} x+y=4----equation\text{ 1} \\ x-y=6-----equation\text{ 2} \end{gathered}[/tex]STEP 2: Solve the given equation
Subtract equation 2 from equation 1
[tex]\begin{gathered} (x-x)+(y-(-y))=4-6 \\ y+y=-2 \\ 2y=-2 \\ Divide\text{ both sides by 2} \\ \frac{2y}{2}=-\frac{2}{2} \\ y=-1 \end{gathered}[/tex]STEP 3: Solve for x
[tex]\begin{gathered} Substitute\text{ -1 for y in equation 1} \\ x+(-1)=4 \\ x-1=4 \\ x=4+1 \\ x=5 \end{gathered}[/tex]The values of x and y are 5 and -1 respectively meaning that the system has one solution, hence the type of system of equation given is a CONSISTENT system of linear equation.
What are the missing reasons for the proof?
URGENT
Answers
△ABD is congruent to △CDB (△ABD ≅ △CDB) under the SAS congruency condition.
What is the congruency of triangles?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, rotate, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved. The relationship between equality and congruence is established by three key theorems. If and only if two angles have equal measures, they are said to be congruent. If and only if two segments have equal amounts of each, they are congruent. If and only if all of the corresponding angles and sides are congruent, two triangles are said to be congruent.So, △ABD ≅ △CDB:
AD || BD (Definition of parallelogram: Given)∠ADB ≅ ∠CDB (Alernate interior angles throrem: Given)AB || CD (Definition of parallelogram)∠ABD ≅ ∠CDB (Alternate interior angles throrem)DB ≅ DB (Common line)△ABD ≅ △CDB (SAS condition)Therefore, △ABD is congruent to △CDB (△ABD ≅ △CDB) under the SAS congruency condition.
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What is the slope of line AB, where the points are A (-1,5) and B (3,-1)
Answers
Explanation
Step 1
when you have 2 points of a line P1 and P2, you can easily find the slope using:
[tex]\begin{gathered} \text{slope}=m=\frac{y_2-y_1}{x_2-x_1} \\ \text{where} \\ P1(x_1,y_1) \\ P2(x_2,y_2) \end{gathered}[/tex]Let
P1=A=(-1,5)
P2=B=(3,-1)
Step 2
replace
[tex]\begin{gathered} \text{slope}=m=\frac{y_2-y_1}{x_2-x_1} \\ \text{slope}=m=\frac{-1-5}{3-(-1)}=\frac{-6}{3+1}=\frac{-6}{4}=-\frac{3}{2} \end{gathered}[/tex]I hope this helps you
x f(x)-2 -6-1-10 212 23-14 -6Which interval could contain a solution to f(x) = 0?A. -6
Answers
Notice that when x = -1, f(x) = -1, and if x = 0, then f(x) = 2.
As we can see, the values of f(x) change from negative to positive between -1 and 0. This means that between the interval -1 < x < 0, we can find f(x) = 0
A company sells equipment for $4,000. the original cost was $50,000.the accumulated depreciation is $45,000. the sale results in what?A. a loss of $4000B. a loss of $1000
Answers
ANSWER
Loss of $1000
EXPLANATION
Cost is $50000
The less accumulated depreciation is $45000
Hence, the book value on data on sale;
[tex]\begin{gathered} 50000-45000 \\ =5000 \end{gathered}[/tex]Gain or loss on sale = Sale value - Book value;
[tex]\begin{gathered} 4000-5000 \\ =-1000 \end{gathered}[/tex]Therefore a loss
An object is thrown from one meter above the ground. Its height (in meters) above the ground at time t (in seconds) is given by the equation h(t) =120+-167 + 1.
How long will it take for the object to reach a height of 191 meters
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-46 you also probably wondering how I got a small number if there is addition not subtraction just remember “Same signs and keep, different sign subtract” so it takes -46 seconds to get to 1 meter.
I hoped I helped! The question did confuse me a little but I hope I helped the right way.
During drought years, Lake Sakakawea water level lowers one inch per year. What integer represents the water level change after 8 years?
Answers
The water level change after 8 years is 8 inches if it is lowers one inch per year.
Integer representation of 8 = 1000 in binary .
A fixed-point number with the radix point placed after the least-significant bit is an integer. They differ from real numbers or floating-point numbers, where the radix point is always at the same place. You should be aware that computers handle integers and floating-point numbers differently. They are shown differently and processed differently (e.g., floating-point numbers are processed in a so-called floating-point processor). We'll talk about floating-point numbers later.
An integer is represented by a fixed number of bits in computers. Integers can be stored in 8-bit, 16-bit, 32-bit, or 64-bit formats. There are two representation techniques for integers in addition to bit-lengths:
Positive and zero integers can both be represented as unsigned integers.
Positive, negative, and zero are all represented by signed integers.
Hence , If the water level drops one inch per year for eight years, the decrease in water level will be 8 inches.
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find the length of arc JL. Round to the nearest hundredth.(degrees)
Answers
Arc Length
Given a circle of radius r, the length of the arc formed by a central angle θ is given by:
[tex]L=\theta\cdot r[/tex]We are given the central angle ∠JKL = 144° and the radius r = JK = 6 units.
The angle must be converted to radians by using the equivalence π = 180°
Thus:
[tex]\begin{gathered} \theta=144\cdot\frac{\pi}{180} \\ \theta=2.51327\text{ rad} \end{gathered}[/tex]Calculating the arc length:
[tex]\begin{gathered} L=2.51327\cdot6 \\ L=15.08 \end{gathered}[/tex]The length of the arc JL is 15.08 units
Between 9 pm and 6:36 am, the water level in a swimming pool decreased by 6/35 in. Assuming that the water level decreased at a constant rate, how much did the water level drop each hour?
Answers
First, we need to know the total hours from 9 pm to 6:36 am.
We have that from 9:00 pm to 6:00 am are 9 hours. We still have 36 minutes.
And
[tex]36\min \cdot\frac{1hour}{60\min }=0.6hour[/tex]Then, the total hours are 9.6 hours.
The water level decreased by 6/35 in. Then:
[tex]d=\frac{\frac{6}{35}in}{9.6\text{hour}}\Rightarrow d=0.01786in/\text{hour}[/tex]Then, the level decreased approximately 0.01786 in/hour at that period of time (the water level decreased at a constant rate).
In a science project, the number of bacteria increases exponentially. Every hour, the number of bacteria triples. If the project starts with 100 bacteria, how many bacteria are present after 5 hours?
Answers
Consider that the exponential function can be written as follow:
f(x) = a
Question is in the picture. No need for explanation. Just the answer is needed.
Answers
We have
[tex]\begin{gathered} y=7x+10 \\ y=-4x-23 \end{gathered}[/tex]we make the next equality
[tex]7x+10=-4x-23[/tex]then we sum like terms
[tex]7x+4x=-23-10[/tex][tex]\begin{gathered} 11x=-33 \\ x=\frac{-33}{11}=-3 \end{gathered}[/tex]Then we substitute the value of x in the first equation
[tex]\begin{gathered} y=7(-3)+10 \\ y=-21+10 \\ y=-11 \end{gathered}[/tex]ANSWER
x=-3
y=-11
your answer is
x=-3 or y=-11
Would you help me with 64 A, B , and C i
Answers
Given data:
Rate of decrease: 2.5 inches per hour
After 1.5 hours the candle is 11.5 in long
Let x be the number of hours
Let y be the length of the cangle remaining
Linear equation:
[tex]\begin{gathered} y=mx+b \\ \\ m=rate\text{ of change} \\ b=initial\text{ value} \\ \\ \\ y=-2.5x+b \end{gathered}[/tex]Use given data to find b: After 1.5 hours the candle is 11.5 in long
x=1.5
y=11.5
[tex]\begin{gathered} 11.5=-2.5(1.5)+b \\ 11.5=-3.75+b \\ 11.5+3.75=b \\ b=15.25 \end{gathered}[/tex]a. Formula:
[tex]y=-2.5x+15.25[/tex]b. The formula describes the remaining length (y) using two terms:
-2.5x: first term, this term includes the slope or rate of change (-2.5) and the variable (x)
15.25: second term it the initial lengh of the candle
c.
i. Evaluate the formula for x=3
[tex]\begin{gathered} y=-2.5(3)+15.25 \\ y=-7.5+15.25 \\ y=7.75 \end{gathered}[/tex]After 3 hours burned the length of the candle is 7.75 inches
ii. Evaluate the formula for x=5
[tex]\begin{gathered} y=-2.5(5)+15.25 \\ y=-12.5+15.25 \\ y=2.75 \end{gathered}[/tex]After 5 hours burned the length of the candle is 2.75inches
CorrectQuestion of Step 1 of 10.3270.3250.2070.2070.2770.2890.3160.2900.2750.2820.2780.2790.3230.3160.2090.2830.2960.2810.3060.296Copy DataAnswerm Tables НЕ КеурKeyboard ShorSeparate multiple answers with commas, if necessary.Selecting a button will replace the entered answer value(s) with the button value. If the button is not selected, the entered answer is useMean: 0.2966Median:Mode: 0.297
Answers
Median:
To find the median, we first need to sort the values from smallest to highest.
The median separates the bottom 50% from the top 50%.
In a sorted set of n elements, which n is odd, the median is the element at the position: ((n+1)/2).
If n is even, the median is given by the mean of the elements at those following positions: (n/2, (n/2)+1).
Example:
Sorted: {1,2,3}
n = 3, element at the position (3+1)/2 = 2.
So the median is 2.
Sorted: {1,2,3,4}:
n = 4, so the mean between the elements at these following positions:
n/2 = 4/2 = 2, the element at the position 2 is 2.
(n/2)+1 = (4/2)+1 = 2 + 1 = 3, the element at the position 3 is 3.
The median is 2+3/2 = 5/2 = 2.5
In this question:
We have 20 elements.
The median will be the mean between the 10th and the 11th elements of the sorted set.
Sorted set:
In an ascending way.
{0.275, 0.277, 0.278, 0.279, 0.281, 0.282, 0.283, 0.289, 0.29, 0.296, 0.296, ...}
The 10th element is 0.296
The 11th element is also 0.296
(0.296 + 0.296)/2 = 0.296
The median is 0.296
use the distance formula to find the distance between the two points (-4.75,-8) and (3.25,5.5)? round to the nearest tenths?
Answers
Let the coordinates of points be,
[tex]\begin{gathered} (x_1,y_1)=\mleft(-4.75,-8\mright) \\ (x_2,y_2)=\mleft(3.25,5.5\mright) \end{gathered}[/tex]The distance between the two points using distance formula is,
[tex]\begin{gathered} d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2} \\ =\sqrt[]{(3.25-(-4.75))^2_{}+(5.5-(-8))^2} \\ =\sqrt[]{8^2+13.5^2} \\ =15.7\text{ } \end{gathered}[/tex]Therefore, distance between the two points is 15.7.
James can type 40 words in 20 seconds. How many words can James's type in 30 seconds?
A, 60
B, 20
C, 30
D, 25
Answers
Proportionately, in 30 seconds, James can type A, 60 words since he can type 40 words in 20 seconds.
What is a proportion?Proportions set two ratios as equal to each other.
Proportions are the portions of a variable in another variable.
Proportions, like ratios, are stated in fractions, decimals, or percentages.
The number of words James can type in 20 seconds = 40 words
In 30 seconds, based on the above unit rate, James can type = 60 words (40/20 x 30)
Thus, based on the ratio of James' typing speed, in 30 seconds he can type 60 words.
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Name two triangles that are congruent by ASA.Choose the correct answer below.(triangle)ABC = (triangle) hpw GHJ(triangle)ABC= (triangle)DEF(triangle)DEF= (triangle)GHJ
Answers
Congruence by ASA (Angle-Side-Angle): Triangles are congruent if any two angles and their included side are equal in the triangles.
For the given triangles:
[tex]\begin{gathered} \Delta ABC\cong\Delta\text{GHJ} \\ \\ \angle B=\angle H \\ \angle C=\angle J \\ BC=HJ \end{gathered}[/tex]Find the area of the polygon. 2 m 19 m 2 m 17 m The area of the polygon is (Type a whole number.)
Answers
If the polygon is redrawn and completed as shown below
The area of the polygon = area of the rectangle ABCD - ( area of the rectangle AEFG + area of the rectangle HBJI)
Area of rectangle = L x B
For ABCD
L = 17 + 2= 19 m
B = 19 + 2 + 2 = 23 m
Area = 19 x 23 = 437 square metre
For AEFG
L= 2 m , B = 2 m
Area = 2 x 2 = 4 square m
For HBJI
L= 2 m , B = 2m
Area = 2 x 2 = 4 square m
[tex]\begin{gathered} Area\text{ of the polygon = 437 - ( 4+ 4)} \\ =\text{ 437 - 8} \\ =429m^2 \end{gathered}[/tex]Robert rolled a die 30 times. Itlanded on four 7 times. What was theexperimental probability for landingon a four?AC11B
Answers
Probability= Number of required outcome / Number of possible outcomes
Number of possible outcomes= 30
Number of required outcome = 7
[tex]probability=\frac{7}{30}[/tex]Required Question #7 7) 100^2 x 100^5 = 100^y y=?
Answers
Given the general rule for exponents:
[tex]a^n\cdot a^m=a^{n+m}[/tex]then, in this case we have the following:
[tex]\begin{gathered} 100^2x100^5=100^y \\ \Rightarrow(100^2)\cdot(100^5)=100^{2+5}=100^7 \\ \Rightarrow y=7 \end{gathered}[/tex]therefore, y=7
Give a test to a group of students the grades and gender are summarized below if one student is chosen at random find the property ability that the student was female or got AB round the solution of 3 decimal places
Answers
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
Data Table
Step 02:
probability (female) or probability (B)
probability = favorable outcomes / total outcomes
probability (female) = 32 / 55
probability (B) = 8 / 55
probability (female) or probability (B) = (32 / 55) + (8 / 55) - (32/55)*(8/55) = 0.6426
The answer is:
probability (female) or probability (B) = 0.643
5. Alex's friend Pablo comes
up with
an exact equation to find out how many bags he needs. Use his equation to find out how many bags will actually be needed if B=x(2x+7)+3(2x+7)+(x+4)(2x+7), where the quantity (2x + 7) equals 4. Show how you arrive at your answer.
Answers
8.5 bags will actually be needed if B=x(2x+7)+3(2x+7)+(x+4)(2x+7), where the quantity (2x + 7) equals 4
What is an Expression?Expression: An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) Expressions can be thought of as similar to phrases. In language, a phrase on its own may include an action, but it doesn't make a complete sentence.
Number of bags needed B=x(2x+7)+3(2x+7)+(x+4)
where the quantity (2x+7)=4
2x+7=4
2x=4-7
2x=-3
x=-3/2
now we are given the no. of bags needed
B=x(2x+7)+3(2x+7)+(x+4)
substitute the value of x which is found above x=-3/2
B=(-3/2)(2(-3/2)+7)+3(2(-3/2)+7)+((-3/2)+4)
B=8.5
hence 8.5 bags are needed
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determine x-axis and y-axis intercepts for -8x-6y=12
Answers
After determining the x and y axis, we get the x and y intercepts as 1.5 and -2.
Given the equation is -8x-6y=12
-6y=8x+12
y=-8x/6+12/6
y=-4x/3+2
To determine x intercept, set y=0
-4x/3+2=0
Multiply both sides of the equation by the common denominator.
-4x×3/3 + 2×3 = 0×3
Reduce the fraction.
-4x+6=0
Rearrange the variables to the left side of the equation.
-4x=-6
cancel - sign.
4x=6
x=6/4
x=3/2
Now, to determine y intercept, set x=0
-8x-6y=12
-8(0)-6y=12
-6y=12
y = -12/6
y = -2
Hence the x and y intercepts are 1.5 and -2 respectively.
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(4x + 8)° find the value of each variable
Answers
so x=0
because then you have
80=80
x=10
COULD REALLY USE HELP!only have a short amount of time!.Write the translated equation y = 1xl so that the vertex is at(-5, -3). You can use parenthesis instead of absolute valuebars for this answer.
Answers
With the function given as y = |x|, and the value of x on the graph is -5, when translated it becomes
[tex]y+3=|x+5|[/tex]Because when x = -5, then y + 3 = 0 (that is, y = -3)
can someone help me with this
Answers
The exact values of the sine of the addition and subtraction of two angles are 576 / 1105 and 264 / 1105, respectively.
How to find the exact value of the sine of the addition and the subtraction of two angles
Since angle A is in the fourth quadrant and B is in the second quadrant, then we find the following inequalities:
cos A > 0, sin A < 0
cos B < 0, sin B > 0
If we know that cos A = 13 / 85 and sin B = 12 / 13, then the missing trigonometric functions according to the fundamental trigonometric formula are:
sin A = - √(1 - cos² A)
sin A = - √[1 - (13 / 85)²]
sin A = - 84 / 85
cos B = - √(1 - sin² B)
cos B = - √[1 - (12 / 13)²]
cos B = - 5 / 13
And the exact value of the sine of the addition and subtraction of two angles is found by the following formula:
sin (A + B) = sin A · cos B + cos A · sin B
sin (A + B) = (- 84 / 85) · (- 5 / 13) + (13 / 85) · (12 / 13)
sin (A + B) = 576 / 1105
sin (A - B) = sin A · cos B - cos A · sin B
sin (A - B) = (- 84 / 85) · (- 5 / 13) - (13 / 85) · (12 / 13)
sin (A - B) = 264 / 1105
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The value of a stock decreases by an average of 17 dollars each week. Which of the following represents the total average decrease in the stock after 6 weeks?
6|−17| = 102 dollars
|−17| − |6| = 11 dollars
|−17| − 6 = 11 dollars
−6|17| = 102 dollars
Answers
Answer: It is C.
i did the exam.
Step-by-step explanation: It is really about how it is set up so C is the right one.
Bob's yard is in the shape of a semicircle with a diameter of 14 feet. Bobwants to buy grass to cover the area of his entire yard. How many squarefeet of grass does Bob need? Round to the nearest tenth.
Answers
EXPLANATION
The area of a semicircle is given by the following relationship:
[tex]\text{Area}_{\text{semicircle}}=\frac{1}{2}\cdot\pi\cdot r^2[/tex]The radius of the semicircle is diameter/2=14/2 = 7 feet
Replacing terms:
[tex]\text{Area}=\frac{1}{2}\cdot\pi\cdot(7)^2[/tex]Computing the power:
[tex]\text{Area}=\frac{1}{2}\pi\cdot49[/tex]Simplifying numbers:
[tex]\text{Area}=24.5\cdot\pi=24.5\cdot3.14=76.93ft^2\approx77ft^2[/tex]In conclusion, the answer is the option D.
state the possible rational zeros for each function. The find all zeros. Use the example in the picture to solve: f(x)=2x^3-23x^2-28x-8
Answers
We have to find the zeros of the polynomial f(x) = 2x^3-23x^2-28x-8.
The independent coefficient is -8, that has factors ±1,±2,±4 and ±8.
The leading coefficient is 2, and has factors ±1 and ±2.
The possible rational zeros (p/q) are: ±1/2, ±2/2=±1, ±4/2=±2 and ±8/2=±4.
The possible rational zeros are: ±1/2, ±1, ±2 and ±4.
