Answers
Answer:
x = 16
Step-by-step explanation:
SR = ST ⇒ Two sides are equal. So, ΔSRT is an isosceles triangle.
The angles opposite to equal sides are equal.
⇒ ∠STR = ∠R
∠STR = 4x - 28
Linear pair: If a ray stands on a line, then the adjacent angles are supplementary and they are called linear pair
∠STR + ∠STU = 180° {linear pair}
4x - 28 + 9x = 180
4x + 9x - 28 = 180 {Combine like terms}
13x- 28 = 180
Add 28 to both the sides
13x = 180 + 28
13x = 208
Divide both sides by 13
x = 208/13
[tex]\sf \boxed{x = 16}[/tex]
Answer:
x = 16
Step-by-step explanation:
since SR = ST , then Δ RST is isosceles with the 2 base angles congruent.
∠ STR = ∠ SRT = 4x - 28
∠ STR and ∠ STU are a linear pair and sum to 180° , that is
9x + 4x - 28 = 180
13x - 28 = 180 ( add 28 to both sides )
13x = 208 ( divide both sides by 13 )
x = 16
Related Questions
find a pattern for each sequence 0,1, 0.01, 0.001,.....
Answers
Answer:
Divided by 10 every time
Step-by-step explanation:
/10 is the pattern
Let's suppose someone flips a fair coin three times. 1. How many outcomes are possible? [a] 2. What is the probability of getting exactly one tail? Give as a fraction [b] 3. What is the probability of getting at most two tails? Give asa fraction [c]
Answers
Probability helps us to know the chances of an event occurring. There are 8 outcomes.
What is Probability?Probability helps us to know the chances of an event occurring.
[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]
Let's suppose someone flips a fair coin three times.
1. The outcomes of the coins are,
HHHHHTHTHHTTTTHTHTTTHTTTTherefore, there are 8 outcomes.
2. The probability of getting exactly one tail is,
P(X=1) = 2/8 = 1/4
3. The probability of getting at most two tails is,
P(X≤2) = P(X=1) + P(X+2) = 1/4 + 1/2 = 3/4
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2x²-5x-6=0 What are the values for a,b,c of the equation in standard form?
Answers
Answer:
Standard form: 2x²-5x+12=0
a=2 b=-5 c=12
Step-by-step explanation:
2(x+3)²-5x=6
2(x²+9)-5x-6=0
2x²+18-5x-6=0
2x²-5x+18-6=0
2x²-5x+12=0
a=2 b=-5 c=12
The table shows information about the meals
ordered at a restaurant.
Meal ordered
Frequency
Sandwich
11
Curry
12
Salad
7
If this information was shown on a pie chart,
how many degrees should the central angle of
the section that represents curry be?
Answers
Answer:
144°
Step-by-step explanation:
The central angle of a sector in a pie chart is proportional to the fraction the represented data is of the whole.
__
fractionThe total number of meals ordered at the restaurant was ...
11 +12 +7 = 30
The fraction of those that were Curry was ...
12/30 = 2/5
angleThen the central angle of the sector representing Curry will be 2/5 of the circle, or ...
2/5 × 360° = 144°
The central angle of the section representing Curry will be 144°.
What is the solution for x in the equation?
-2x + 14 + 10x = 34
A.
B.
C.
D.
Answers
Answer: 2.5
Step-by-step explanation:
-2x + 14 + 10x = 34
8x + 14 = 34
8x = 34 - 14
8x = 20
x = 20/8
x = 5/2
x = 2.5
14 +8x =34
Subtract 14 both sides
8x = 20
Divide both sides by 8
x = 20/8
Reduce
x= 5/2
x = 2 1/2 or 2.5
Big Brothers, Inc. borrows $267,999 from the bank at 18.16 percent per year, compounded annually, to purchase new machinery. This loan is to be repaid in equal annual installments at the end of each year over the next 10 years. How much will each annual payment be?
Round the answer to two decimal places.
Answers
Based on the amount borrowed and the interest per year, Big Brothers, Inc will pay an annual payment of $59,973.15.
How much will Big Brothers, Inc. pay annually?This can be found by using the present value of an annuity formula because the annual payment will be constant and therefore like an annuity.
Formula is:
Present value of annuity = Annual payment x ( 1 - (1 + rate) ^ -number of periods) / rate
Solving gives:
267,999 = Amount x ( 1 - ( 1 + 18.16%)⁻¹⁰) / 18.16%
267,999 = Amount x 4.46865
Amount = 267,999 / 4.46865
= $59,973.15
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( PLEASE HELP WILL MARK BRAINLIEST PLEZ ) Calculate the area of a triangle with a base of 6 cm and a height of 12 cm. Draw and label the triangle.
Answers
Area
1/2BH1/2(6)(12)3(12)36cm²Base=6cm
Height=12cm
So,
1/2BH= 1/2×6×12
= (3×12)
= 36 cm²
_________________________________[tex]\boxed{\blue{ » \: Lear \: math \: with \: Kareninajovanka \: « コ: \: 彡}}[/tex]
How does acidic soil negatively affect living things?
A. It can affect the enzymes of organisms, as well as make certain minerals unavailable.
B. The acidity can destroy essential nutrients in the soil, such as amino acids or nitrates.
C. It can alter the permeability of the soil, causing it to become waterlogged easily.
D. It can alter the porosity of the soil, causing it to become dry easily.
Answers
Answer:
B. The acidity can destroy essential nutrients in the soil, such as amino acids or nitrates.
if jermeey has 9 apples, and sabrina has 10, how many apples do they have if erica takes 19 of them?
Answers
Answer:
0 apples
Step-by-step explanation:
What is the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1? m Y 1 77](V₂ − V₁] + V₁ m+n -8 -5 0 6
Answers
The y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.
How to carry out division of line segments?
From the attached line segment graph, we see the coordinates as;
J (1, -10) and K (7, 2)
Let us assume that, point L divides the directed line segment from J to K into a ratio of 5:1.
From the properties of coordinate geometry we know that, the coordinates of point that divides the line joining (x₁, y₁), (x₂, y₂) in m:n, are;
[(mx₂ + nx₁)/(m + n)], [(my₂ + ny₁)/(m + n)]
Plugging in the relevant values gives;
[(5 * 7 + 1 * 1)/(5 + 1)], [(5 * 2 + 1 * -10)/(5 + 1)]
⇒ (6, 0)
Therefore, the y-coordinate of the point that divides the directed line segment from J to K into a ratio of 5:1 is 0.
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Answer:
c. 0
Step-by-step explanation:
Jillian is trying to determine what helium tank pressure she needs to fill balloons for the student council dance. Find the unknown numbers in the table until you find the best answer to the question. Which cylinder pressure will Jillian need if she plans to fill 90 balloons? Tank Pressure and Balloon Quantity Pressure in the helium cylinder (psi) Number of 9-inch balloons 100 30 150 ? 200 ? 250 ? 300 ?
Answers
Going by the standard Helium Cylinder/Balloon Chart, the amount of pressure she will require to fill 90 balloons is 300 per squared inch (PSI.)
How much pressure will each balloon take at 300 psi total?To get this amount, we simply divide the number of balloons with the total amount of PSI.
Thus:
90/300
= 0.3psi each.
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Answer: 300?
Step-by-step explanation:
tell me if i am wrong
Which algebraic rule describes the translation of quadrilateral ABCD to quadrilateral A’B’C’D?
Answers
Answer:
A.
Step-by-step explanation:
The figure moves to the right 8 units which is positive and then up 7 units which is also positive.
What is the mean of the data set below?
15, 5, 16, 9, 14, 3, 4, 18, 10, 4
Answers
Answer:
Mean = Sum of Values ÷ Total number of Values
Step-by-step explanation:
= 15+5+16+9+14+3+4+18+10+4 ÷ 10
= 98 ÷ 10
= 9.8 (Decimal point moves 1 place to the left when divided by 10)
En una encuesta a 150 personas, se les pregunta sobre los deportes que ven por televisión
los fines de semana, ofreciendo como opciones fútbol, tenis y basquetbol. Los resultados
fueron los siguientes: 52 ven tenis; 54 ven básquetbol; 24 solo ven fútbol y tenis; 19 solo
ven fútbol y básquetbol; 23 ven tenis y básquetbol; 14 ven fútbol, tenis y básquetbol; 24
no ven deportes.
Answers
Teniendo en cuenta que el total de encuestados fue 150 personas, se puede calcular que el porcentaje de personas que solo ven tenis es 34.3%.
¿Cómo calcular el porcentaje de personas que solo ven tenis?
Para calcular el porcentaje de encuestados que solo ven tenis es necesario realizar la siguiente operación:
100 ÷ 150 = 0.660.66 × 52 = 34.3%De acuerdo con lo anterior, se puede inferir que el porcentaje de encuestados que solo ve tenis es el 34.3%.
Nota: Esta pregunta está incompleta porque le falta información. Aquí está la información faltante.
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find the sum 70.6+74.02+121.985=
Answers
266.605 is the answer.
Step-by-step explanation:
70.6 + 74.02 + 121.985 = 266.605
Penelope’s 2000 kg new painted car accelerates from 50.0 m/s to 100.0 m/s. Calculate the impulse experienced by Penelope’s car.(Note: Include correct units and sign. Ex. "20 J" , "20 m" , "20 m/s")
Answers
The impulse that Penelope's car would experience is 100, 000 Kg. m/s
How to calculate the impulse
The formula for calculating the impulse is;
Impulse = m Δ v
Where m = mass = 2000kg
Δv = change in velocity = 100 - 50 = 50m/s
Substitute values into formula
Impulse = 2000 × 50 = 100, 000 Kg. m/s
Therefore, the impulse would be 100, 000 Kg. m/s
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The perimeter of a rectangle is 42 inches if the width of the rectangle is 6 inches what is the length
Answers
Answer:
The length would be 15 inches.
Step-by-step explanation:
Since we are solving for perimeter the first step would be doing 6+6 = 12 (covering 2 sides). The next thing we would do is subtract 12 from 42 getting 30 as our answer. We need to divide 30 by 2 to get an answer of 15. I hope this helps! :)
Answer:
15 inches
Step-by-step explanation:
Find the area of a regular polygon with 8 sides that has a perimeter of 96 inches and an apothem of 5 inches.
Area = [?]in2
Answers
Answer:
see the attachment photo!
Which equation matches the graph of the greatest integer function given
below?
Answers
Answer:
B
Step-by-step explanation:
Hope this will help on the problem
Can someone help with this? I don't understand how to find the answer
Answers
Hope this helps!
Consider this function.
please help!
Answers
feel free to ask me if you didn't understand a part
rewrite this inequality so y is by itself:
3x − 4y ≥ 24.
Answers
Answer:
y [tex]\leq[/tex] 6 + [tex]\frac{3x}{4}[/tex]
Step-by-step explanation:
3x - 4y [tex]\geq[/tex] 24
-3x -3x
(-4y [tex]\geq[/tex] 24 - 3x ) / -4
y [tex]\leq[/tex] 6 + [tex]\frac{3x}{4}[/tex]
Difference of 8 Let's dig into this and find out for sure. First think of two numbers that have a difference of 8. Type the LARGER of these numbers below.
Answers
Answer:
16
Step-by-step explanation:
We need to find 2 numbers that have a difference of 8.
Let take's 16 and 8.
As we know :
⇒ 16 - 8
⇒ 8
The larger of these 2 numbers is 16
Seven x's and 3y's cost as much as 4z's. One z costs as much as 1x plus 1y together. How many x's cost as much as 1y?
Answers
Answer:
Step-by-step explanation:
Equations
7x + 3y = 4z
Second equation
x + y = z Multiply the entire equation by 4
4[x + y = z] Now distribute the 4 through the equation
4x + 4y = 4z Both equations = 4z. Equate the lefts.
Third equation
7x+3y = 4x + 4y Subtract 3y from both sides
7x + 3y -3y = 4x + 4y -3y
7x = y + 4x Subtract 4x from both sides
7x - 4x = y + 4x - 4x Combine
3x = y
Answer: 3x = y
For the given fact below, which subsequent true/false statement is true?
Fact: Mel received a C+ in Chemistry.
Answers
Mel did pass the class , Option B is the correct answer.
The missing options are
Mel does not like chemistry
Mel did pass the class
Mel did not achieve a passing grade for the class
Mel took math this semester
What are True/False Statements ?The statements that are based on fact and is assertive is a true statement and opposite of that is a false statement.
In the question it is mentioned that Mel received a C+ in Chemistry.
It is not known that she took maths test , she did achieve passing grades and by grades it cannot be said if she didn't like chemistry
This can make only Option B statement true , as she did pass the class.
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What are m∠1 and m∠2?
Answers
Answer:
B. <1 = 35, m<2 = 30
Step-by-step explanation:
To figure out m<1 I first need to figure out the other missing angle. A straight line is a 180 degree angle. Taking that information you can do 180 - 115. This means that the missing angle is 65 degrees. The interior angles of triangles always add up to 180.
80 + 65 = 145
180 - 145 = 35
<1 = 35
Repeat with the other side.
85 + 65 = 150
180 - 150 = 30
<2 = 30
Hope this helps!
If 50% of a number is 80 and 35% of the same number is 56, find 85% of that
number.
Answers
describe in detail how you would create a number line with the following points:3, 2.25, the oppisite of 4 and- (-1 1/2). please be sure to describe on which tick marks each point is plotted and how many tick marks are between each iteger. it may help for you to draw this number line by hand on a sheet of paper pls answer NO WRONG ANSWERES
Answers
Answer:
here man that's the answer
help me to solve maths
Answers
Answer:
9. 105/-21 = -5
10. -5 + 11 = 6
11. 368 x -16 = -5888
12. To prove this you don't need the integers provided, you can just expand out the first one. a x (b + c) = (a x b) + (a x c)
Can 3×2×2×3 be written as a power with an exponent of 4? Explain your thinking.