Answers
Answer:
[tex]\mathsf {x = 76}[/tex]
Step-by-step explanation:
The given pair of angles lie on a line, hence they are classified as linear angles. They possess the property by which their sum is equal to 180°.
[tex]\textsf {Solving :}[/tex]
[tex]\implies \mathsf {x + 17 + 87 = 180}[/tex]
[tex]\implies \mathsf {x + 104 = 180}[/tex]
[tex]\implies \mathsf {x = 180 - 104}[/tex]
[tex]\implies \mathsf {x = 76}[/tex]
Related Questions
Find the area of the triangle with the given vertices.
(2, 4), (-1,0), (5,9)
Answers
Answer: 1.5
Step-by-step explanation:
If we translate the triangle right one unit, we get it has vertices (3,4), (0[tex]\frac{1}{2}|(9)(3)-(4)(6)|=\boxed{1.5}[/tex],0), and (6,9).
So, the area is
Select whether the pair of lines is parallel, perpendicular, or neither.
y=2x+4, y=2x−10
Answers
Answer:
parallel
Step-by-step explanation:
the equations of the the 2 lines have the same gradient 2x . this makes them parallel.
find the area of Δ ABC
Answers
Answer:
The answer would be 30 feet^2.
Step-by-step explanation:
The formula for the area of a triangle is [tex]\frac{bh}{2}[/tex]. The base and height are 15 and 4, turning the equation into [tex]\frac{15(4)}{2}[/tex]. 15 times 4 is equal to 60 and 60 divided by 2 is equal to 30, getting you your answer of 30 feet^2. I hope this helps! :)
Select three deductions someone would see on their paystubs.
Marital Status Tax
Excise Tax
Medicare Tax
Federal Income Tax
Social Security Tax
Answers
The three deductions someone would see on their paystubs are:
A. Social Security Tax
C. Federal Income Tax
D. Medicare Tax
What is paystubs?Paystubs is a paycheck and can be defined as a check that an employer issued out to the employee for the service the employee rendered to the employer.
The three deductions someone would see on their paystubs are:
Social Security Tax
Federal Income Tax
Medicare Tax
Therefore the correct options are A, C, D.
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The graph of a linear function is shown.
Which word describes the slope of the line?
• positive
• negative
• zero
• undefined
Answers
Answer:
Slope is positive
Answer:
• positive
Step-by-step explanation:
Here is what you need to know:
slope up to the right: positive slope
slope down to the right: negative slope
horizontal line: zero slope
vertical line: undefined slope
Look at the graph. the line slopes up to the right, so it is a positive slope.
Solvex²= 12x-15 by completing the square. Which is the solution set of the equation?
-6- √51, -6 + √51)
1-6-√21, −6+ √21}
(6-√51, 6+ √51)
16-√21, 6+ √21}
Answers
Answer
B
Step-by-step explanation:
The solution to the equation by completing the square is (6 - √21, 6 + √21)
How to complete the square?The equation is given as:
x²= 12x-15
Rewrite as:
x² -12x = -15
Take the coefficient of x
k = -12
Divide by 2
k/2 = -6
Square both sides
k/4 = 36
Add 36 to both sides of x² -12x = -15
x² -12x + 36 = -15 + 36
Evaluate the sum
x² -12x + 36 = 21
Express the equation as a perfect square
(x - 6)² = 21
Take the square root of both sides
x - 6 = ±√21
Add 6 to both sides
x = 6 ± √21
Split
x = (6 - √21, 6 + √21)
Hence, the solution to the equation by completing the square is (6 - √21, 6 + √21)
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Need help ASAP
A gives the area of the rectangle. Find the
11.
12.
A-35 m²
5 m
b
6 ft
Answers
Answer:
Area of a rectangle = l × b
11. 35 = 5 × b
b = 35/5
b = 7 m
12. 48 = 6 × h
h = 48/6
h = 8 ft
13. 24 = b × 3
b = 24/3
b = 8 in
Hope it helps!
How much of an 80% orange juice drink must be mixed with 12 gallons of a 20% orange juice drink to obtain a mixture that is 50% orange juice
Answers
Answer:
12 gallons
Step-by-step explanation:
The amount of juice in the mix is the sum of the amounts of juice contributed by each of the constituents of the mix. Those amounts will be the product of the quantity of constituent and the fraction that is juice.
__
setupLet x represent the amount of 80% juice drink that must be added to the mix. The total amount of orange juice in the mix is ...
20% × 12 gallons + 80% × x gallons = 50% × (12 +x) gallons
__
solutionDividing by gallons, eliminating parentheses, and using decimals for percentages, we have ...
2.4 +0.80x = 6.0 +0.50x
0.30x = 3.6 . . . . . . . . subtract 0.50x+2.4
x = 12 . . . . . . . . . . . divide by 0.30
12 gallons of 80% juice drink must be added to obtain the desired mix.
_____
Additional comment
We notice that 50% is the average of 20% and 80%, so each must be half of the mix. If there are 12 gallons of 20%, then there must be 12 gallons of 80%.
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In a certain Algebra 2 class of 28 students, 14 of them play basketball and 19 of them play baseball. There are 5 students who play neither sport. What is the probability that a student chosen randomly from the class plays basketball or baseball?
Answers
Answer:
23/28 (82.1%)
Step-by-step explanation:
See attached Venn Diagram
23 out of 28 play basketball or baseball
What is the missing coefficient of the x-term of the product (-x-5)² after it has been simplified?
O-25
O-10
O10
25
Answers
The missing coefficient of the x-term after finding the product of (-x - 5)², is: C. 10.
What is the Coefficient of a Variable?The coefficient of a variable is the numerical value that comes before the variable and multiplies it.
Find the product of (-x - 5)²:
(-x - 5)(-x - 5)
-x(-x - 5) -5(-x - 5)
x² + 5x + 5x + 25
x² + 10x + 25
The x-term is "10x". The coefficient is: 10.
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Many animals have skeletons that provide support so that they can remain upright. In contrast, plants cells depend on a cellular structure for support. What structure provides support for a plant cell? A. nucleus B. cell wall C. chloroplast D. cell membrane
Answers
Answer:
B. Cell Wall
unlike animal cells, plant cells have walls instead of just membranes
Answer:
b cell wall
Step-by-step explanation:
Scientist want to estimate the population of a particular species of snake.
They collect a sample population of 20 snakes and mark them with tags.
After a few months they catch 120 snakes, 17 of which are marked with
tags. What is the best estimate of the total population of snakes?
Answers
Answer:
the answer is yuo 4utvnjj
Answer:
Step-by-step explanation
Answer= 224
x=224
190x20=3,800/17=223.529412 (make sure to round up)
224
Homework Due Tomorrow please help me it would be great
Answers
Answer:
c
Step-by-step explanation:
work out the average for the data below
Carol buys a house for £234 900
She pays a 10% deposit.
Work out the amount of deposit paid by Carol.
Answers
Answer:
£23490
Step-by-step explanation:
10/100×£234900=23490
What are the zeros of f(x) = x(x − 9)?
Answers
Answer:
x = 0 , x = 9
Step-by-step explanation:
to find the zeros let f(x) = 0 , that is
x(x - 9) = 0
equate each factor to zero and solve for x
x = 0
x - 9 = 0 ⇒ x = 9
Answer:
The X-intercepts are 0,0 and 9,0
Doug mcdougal is whipping up 72 different snacks for his 12th annual blooper bowl bash he invited 138 guess but only 16 are coming that doesn’t bother dog he still makes 100 bowls of nacho dip he makes twice as many bowls of chili how many guests are coming to the party
Answers
The number of guests coming to Doug McDougal party can be calculated to be 23 people.
What number of people are coming?Doug invited 138 guests and out of this, only 1/6 will be coming.
The number of people coming is therefore:
= Number invited x Proportion coming
Solving gives:
= 138 x 1/6
= 23 people
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Students in MA238 spend on average 3.75 hours a week studying (with a population standard deviation σ = 5.17). (i) Given this fact, describe the sampling distribution of the mean if all possible random samples of size 50 were chosen. (ii) What can you say about the mean of all the possible sample means? (iii) If 250 such samples were chosen at random and for each you calculated a 95% C.I for the mean, how many such intervals would you expect to contain the true mean? (iv) If instead you calculated a 99% C.I. for the mean, how many intervals would you now expect to capture the true mean.
Answers
The sampling distribution of the mean if all possible random samples of size 50 were chosen will be 0.731.
How to depict the sample?From the information given, the mean of all the possible sample means will be:
= 5.17/✓50
= 5.17/7.071
= 0.731
It should be noted that the sample means will have the same mean as the population.
The intervals that you would expect to contain the true mean will be:
= 0.95 × 250
= 237.5 intervals
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if a pen and a pencil cost 1.10$ but the pen cost is 1$ more than pencil
Answers
Answer:
The pencil cost $0.05 and the pen cost $1.05.
Step-by-step explanation:
Let, the price of the pencil is $ .
Given that the pen costs a dollar more than the pencil,
So, the price of the pen=$+1.
Therefore, ++1=1.10
, 2+1=1.10
, 2=1.10–1
, 2=0.10
, =0.10/2
, =0.05
The pencil cost $0.05 and the pen cost $1.05.
Given: ABC is a right triangle with right angle C. AB = 18 centimeters and mZA = 22°.
What is BC?
Enter your answer, rounded to the nearest tenth, in the box.
cm
Answers
Identify the remainder when -2x2 + 15x is divided by x - 7.
Answers
Answer:
The remainder is 9
Step-by-step explanation:
x-7=0
x=7
Plug x=7 into the given fxn
-2(7)²+15(7)
-2(49)+105
-96+105
9
How many times does 17 go into 553?
Answers
The product of a quarter of 3 more than a number a and two times a number b as an algebraic expression?
Answers
Algebraic expression of the product of a quarter of 3 more than a number a and two times a number b is equals to [tex](\frac{3}{4} +a)[/tex]×[tex](2b)[/tex]
What is an algebraic expression?" An algebraic expression is defined as the expression which is represents using variables, number and mathematical operation."
According to the question,
'a' represents a number
'b' represents another number
Algebraic expression as per the given condition we get,
The product of
Quarter of 3 more than a number a = [tex]\frac{3}{4} +a[/tex]
Two times a number b = 2b
Algebraic expression = [tex](\frac{3}{4} +a)[/tex]× [tex](2b)[/tex]
Hence, algebraic expression of the product of a quarter of 3 more than a number a and two times a number b is equals to [tex](\frac{3}{4} +a)[/tex]×[tex](2b)[/tex].
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Write the equation of the graph of y = cos(x) was shifted downwards by 3 units, shrink horizontally by a fourth of a unit, inverted horizontally and shifted 60° to the left. if it has an amplitude of 5 units.
Answers
The equation of the transformed function is y = 5cos(x/4 + 60) - 3
How to determine the equation?The equation of the graph is given as:
y = cos(x)
The rule of downward shift is:
(x, y) ⇒ (x, y - h)
So, the function when shifted downwards by 3 units is
y = cos(x) - 3
The rule of horizontal shrink is:
(x, y) ⇒ (x/k, y)
So, the function when shrink horizontally by a fourth unit is:
y = cos(x/4) - 3
The rule of left shift is:
(x, y) ⇒ (x +h, y)
So, the function when shifted left by 60 units is
y = cos(x/4 + 60) - 3
The amplitude is given as:
A= 5
So, we have:
y = 5cos(x/4 + 60) - 3
Hence, the equation of the transformed function is y = 5cos(x/4 + 60) - 3
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an isosceles triangle has two 5.5 cm sides and two 32.4 angles. find the area and primeter of this triangle.
Answers
The area and perimeter 10.7625 sq. cm and 11.5536 cm.
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
let us construct perpendicular bisector.
Using trigonometry
cos [tex]\theta[/tex]= B/H
cos 32.4 = x / 5.5
5.5 cos 32.4 =x
We will consider the third side 2x.
So, 2( 5.5 cos 32.4) is the third side
P = 5.5 + 5.5 + 2( 5.5 cos 32.4)
= 11 + 0.5536
= 11.5536 cm
Area= 1/2* 5*5* sin 115.2
= 12.5 * 0.861
= 10.7625 sq. cm
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Emanuel used the calculations below to find the product of the given fractions.
(Three-fifths) (StartFraction 4 over 9 EndFraction) (Negative one-half)
Step 1 StartFraction (3) (4) (negative 1) over (5) (9) (negative 2) EndFraction
Step 2 StartFraction negative 12 over negative 90 EndFraction
Step 3 StartFraction 12 over 90 EndFraction
Step 4 StartFraction 2 over 15 EndFraction
In which step did his first error occur?
step 1
step 2
step 3
step 4
Answers
Answer:
step 1
Step-by-step explanation:
The product of fractions is the quotient of the product of the numerators and the product of the denominators. When negative fractions are involved, the sign of the result will be negative if the number of minus signs among the factors is odd.
__
setupThe product Emanuel wanted to compute was ...
[tex]\dfrac{3}{5}\cdot\dfrac{4}{9}\cdot\left(-\dfrac{1}{2}\right)[/tex]
step 1The first calculation step used was ...
[tex]=\dfrac{3\cdot4\cdot(-1)}{5\cdot9\cdot(-2)}\qquad\textbf{Error}\text{ -- a minus sign added}[/tex]
The error was in the first step where a minus sign was added. This brings the total to an even number of minus signs, changing the sign of the result.
__
A more appropriate first step might have been ...
[tex]=-\dfrac{3\cdot4\cdot1}{5\cdot9\cdot2}\qquad\text{correct first step}[/tex]
A 2100-square-foot home is for sale. The finished basement has an area of 455 square feet. The basement accounts for what percent of the total square footage?
Answers
Given the area of the house and the basement, the basement accounts for 21.67 percent of the total square footage.
What is Percentage?Percentage is simply number or ratio expressed as a fraction of 100.
It is expressed as;
Percentage = ( Part / Whole ) × 100%
Given that;
Area of the house = 2100ft²Area of the basement = 455ft²Percentage of area occupied by the basement = ?Percentage = ( Part / Whole ) × 100%
Percentage = ( 455ft² / 2100ft² ) × 100%
Percentage = 0.21666 × 100%
Percentage = 21.67%
Given the area of the house and the basement, the basement accounts for 21.67 percent of the total square footage.
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6. Resuelve las ecuaciones. Anota la solución y tu procedimiento.
a) 2x - 6=4
Procedimiento:
Solución: x =
b) 3x-3 = 3
Procedimiento:
Solución: x =
Procedimiento:
Solución: x =
c) x + 3 = 4
Answers
Answer:
Step-by-step explanation:
a)
Planteamiento:
2x - 6 = 4
Procedimiento:
2x - 6 + 6 = 4 + 6
2x + 0 = 10
2x = 10
2x/2 = 10/2
1x = 5
x = 5
Comprobación:
2*5 - 6 = 4
10 - 6 = 4
Solución:
x = 5
b)
Planteamiento:
3x - 3 = 3
Procedimiento:
3x - 3 + 3 = 3 + 3
3x - 0 = 6
3x = 6
3x/3 = 6/3
1x = 2
x = 2
Comprobación:
3*2 - 3 = 3
6 -3 = 3
Solución:
x = 2
c
Planteamiento:
x + 3 = 4
x + 3 - 3 = 4 -3
x + 0 = 1
x = 1
Comprobación:
1 + 3 = 4
Solución:
x = 1
hosting a dinner party for 38 people, you plan to serve peach pie for dessert. Each pie has 8 slices. how many pies must your buy to ensure each guest gets 1 slice
Answers
Answer:
4.75 or round up to 5.
Step-by-step explanation:
if each pie has 8 slices, then you must do 8+8+8... and so on until u reach 38. However you wont get exactly 38 because 8 doesn't add up evenly into 38. You can find the exact number by divding the amount of people, 38, by the number of slices per pie, 8. The answer will be 4.75 but you can not buy a fraction of a pie so you must round up to 5 whole pies. There will be extra left over in the end, but you cant round down because 4 pies would not be enough, so you must buy 5.
Which two angles below are
complementary?
Select one:
O 20° and 160°
O 45° and 145°
O 1° and 89°
O 30° and 130°
Answers
When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other. The correct option is C.
What are Complementary Angle?When the sum of two angles measures up to 90° then these angles are known as complementary angles of each other.
for example, ∠x + ∠y = 90°, therefore, the ∠x and ∠y are the complementary angles of each other.
The two angles which are complementary angles are 1° and 89° because their sum is 90°.
Hence, the correct option is C.
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Match the vocabulary words with their definitions. 1. an arrangement of data in logical order predict 2. to tell something in advance chart 3. a list of facts from which a conclusion can be drawn random sample 4. an opinion of the amount, value, or worth of something average 5. dividing the total number by the number being counted estimation 6. every member of a large group has an equal chance of being chosen data
Answers
Answer:
sorting, predict, data, access, divisor, sampling
Step-by-step explanation: