Answers
Answer:
Step-by-step explanation:
x = 5
The value of x in the given angle is 5.
What is circle?A circle is a particular type of ellipse in mathematics or geometry where the eccentricity is zero and the two foci are congruent. A circle is also known as the location of points that are evenly spaced apart from the centre. The radius of a circle is measured from the centre to the edge.
Labelling the figure,
We have,
Measure of complete angle of circle = 360 degree
∠ABC = 360 - (81 + 74)
= 205 degree
Now from figure,
∠APE = (205 - 81 )/2
= 62 degree
Since we know that,
∠APE = 17x - 23
Therefore,
17x - 23 = 62
17x = 85
x = 5 degree,
Hence,
Required value is 5.
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Related Questions
The Arnold's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate compounded annually, how much total will they have paid after 30 years?
Answers
Answer:
just interest = 251,550. Plus loan = 446,550
Step-by-step explanation:
195,000 x 0.043(interest as a decimal) = 8385 per year.
8385 x 30(years) = 251,550
The total of $446550 amount of money have to pay after 30 years at the rate of 4.3% of the principal amount of $195000.
What is compound interest?Compound interest is applicable when there will be a change in principle amount after the given time period.
For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount. After 1 year the interest will be $50 and hence principle amount will become $550 now for the next year the interest will be $550, not $500.
Given that
the principle amount of $195000
The rate of interest is 4.3%
Time period 30 years.
By compound interest formula
A = P × [tex](1 + 0.00r)^{n}[/tex]
where A is the total amount, P is the principal amount,r is the rate of interest and n is the total time period.
A = $195000[tex](1 + 0.043)^{30}[/tex]
A = $689546.985
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Mark each! Of the following equations as true or false. Explain or showing your reasoning!
Answers
Answer:
False
True
True
Step-by-step explanation:
Multiplying add exponents
Divide subtract exponents
Exponent multiply exponents
The statement and reason for each equation is written below:
False (Multiplication law and exponential law)True (Multiplication law and exponential law)True (division law and exponential law)Meaning of Multiplication and division lawMultiplication law is a law of indices that governs the multiplication of variable. if they are of the same base they add up their powers.
Division law is also a law of indices that governs division of variables, and it states that for every division the bases are equal we subtract their powers
In conclusion, The statement and reason for each equation is written above.
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The measures of the angles of a triangle are shown in the figure below. Solve for x.
Answers
Answer:
26 degrees
Step-by-step explanation:
180 - 48 = 132 - 106 = 26
this one should work
Answer: x = 106°
Step-by-step explanation:
106° + 48° + x° = 180°
154 + x = 180
x = 106°
Find –(–14).
–14
–4
4
14
Answers
Answer:
bhjtijo3
Step-by-step explanation:
Answer:
Step-by-step explanation:
D. 14
The fourth-grade students are taking a field trip and need to rent minivans. Each minivan will hold 8 people. There are 135 people
going on the trip. How many people will not be able to go if they only rent 16 minivans?
A)6 people
B)7 people
C)8 people
D)9 people
HELP ASAP ILL GIVE BRAINLIEST
Answers
Answer:
B. 7 people
Step-by-step explanation:
If you multiply 8x16 you get: 128. Then you subtract 135 from 128 and get: 7. Therefore, 7 people will not be able to go if they only rent 16 minivans.
Leo has a rectangular garden with a perimeter of 40 feet. The width of the garden is 8 feet. What is the length of the garden?
Answers
Answer:
5 feet
Step-by-step explanation:
Find the value of x in the picture below. (round to nearest tenth if needed) THANK YOU FOR HELPING ME:)
Answers
Answer:
x ≈ 9.6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle, that is
x² + 14² = 17²
x² + 196 = 289 ( subtract 196 from both sides )
x² = 93 ( take the square root of both sides )
x = [tex]\sqrt{93}[/tex] ≈ 9.6 (to the nearest tenth )
An FBI agent orders a block of ballistics gel. The gel weighs 54 pounds per cubic foot. What is the weight of the block of gel?
Answers
Answer:
22.5 pounds
Step-by-step explanation:
The computation of the weight of the block of gel is shown below:
As we know that
Volume = (length) (width) (height)
= (20) (6 ) (6)
= 720 cubic inches
Now we have to convert into cubic foot
As we know that
1 ft = 12 inches
So 1ft^3 = 12 inches^3
= 1728 inches ^3
Now
= 720 × 1 cubic foot ÷ 1728 cubic inches
= 5 ÷ 12
Now the weight is
= 54 × 5 ÷ 12
= 22.5 pounds
At what number of days will the cost of attendance be the same for both preschools?
Answers
Answer:
Forgot the pic ?
Step-by-step explanation:
help ASAP Ill mark u brainliest
Answers
Answer:
30% or none of these
Step-by-step explanation:
since least of the girls voted for biking it would be the least percent amount.
Hope this helped and have a wonderful day! <3 :))
In a normal distribution, 95% of the data falls within 1 standard deviation of
the mean.
True or False?
Answers
Answer:
False
Step-by-step explanation:
A P E X
2. You were 22 inches tall at birth, and 48 inches tall on your 8th birthday.
2a) On average, how many inches did you grow per year? (Hint: in 8 years 2 points
you grow a total of 26 inches) include units!!
Answers
Answer:
3.25
Step-by-step explanation:because you have to divide the years with the inches so in each year i would grow about 3.25 inches
estimate each product 49.2×10.3
Answers
Help me with this plsss
Answers
1.
a. 8 x 7 x 1/2 = 56 x 1/2 = 28
b. 24 x 14 x 1/2 = 336 x 1/2 = 168
c. 5 x 12 x 1/2 = 60 x 1/2 = 30
d. 4 x 4.8 x 1/2 = 19.2 x 1/2 = 9.6
2.
two triangles: 2(4 x 8 x 1/2) = 4 x 8 = 32
rectangle: 15 x 8 = 120
total area: 32 + 120 = 152
Please help I really need it, I don’t know what to do
Answers
Answer:
i think it is b
Step-by-step explanation:
Find the distance between the two points (-4,1) (4,5)
Answers
Exact Form: 4√5
Decimal Form: 8.94427190…
$17.99 with an 11.25% tax
Answers
Answer:
it's 2.0
hope that helps
.2 How many millilitres of chutney are needed?
Answers
Answer:
Step-by-step explanation:
In this scenario, You've asked about the Chutney (Sauce/Raita).
Ok, So let's suppose you are making a "Chutney"
The first you need is the right amount of ingredients.Their quantity and they must be fresh "To make every effort of yours worth it!"Add it into a bowl or a dish that you have at the time (Or a big one to be on the safe side)At the end mix the ingredients well, So that they don't spoil taste of the one who is taking it.The amount of milliliters (Weight measurement) depends upon the amount of usage/intake that one is taking.
It could be a few hundred (gms. or some Kg's).
That totally depends up on your choice
Bob had 42 fair tickets to sell. He sold 5/6 of the tickets. How many tickets did Bob sell
Answers
Answer:
35
Step-by-step explanation:
5/6 of 42 is 35
check to be sure
Answer:
35 tickets
Step-by-step explanation:
Very simple mental division & multiplication.
Divide the total (42) by the denominator (6)
42 ÷ 6 = 7
Then multiply the quotient (7) by the numerator (5)
7 × 5 = 35 tickets
Someone help me with this its in the picture!!!
Answers
Answer:
JK < KI < IJ
Step-by-step explanation:
The length of the side of a rectangle corresponds with the size of the angle opposite it.
m<K = 180 - (50 + 44) (sum of triangle)
m<K = 86°
IJ is opposite m<K = 86°
JK is opposite to m<1 = 44°
KI is opposite to m<J = 50°
The bigger the measure of an angle, the larger the side opposite it.
Therefore, form least to greatest, the side lengths of the triangle cam be ordered as follows:
JK < KI < IJ
These box plots show daily low temperatures for a sample of days in two different towns
Answers
Answer:
A. The median for town A, 30 degrees, is less than the median for town B, 40 degrees.
Step-by-step explanation:
Which point on the graph represents the y-intercept?
Answers
Element X is a radioactive isotope such that every 28 years, its mass decreases by
half. Given that the initial mass of a sample of Element X is 70 grams, how long
would it be until the mass of the sample reached 38 grams, to the nearest tenth of a
year?
Answers
Answer:
21
Step-by-step explanation:
19.
20
Z
45°
y у
60°
63
2 =
I NEED HELP WITH NUMBER 19 PLEASE HELP!
Answers
z=90degrees
Y=135degrees
An 18-foot ladder leaning against a wall makes an angle of elevation of 70° with the ground. How far up the wall is the ladder, to the nearest foot?
Answers
Answer:
17 ft
Step-by-step explanation:
An 18-foot ladder leaning against a wall makes an angle of elevation of 70° with the ground. How far up the wall is the ladder, to the nearest foot?
We solve the above question using the Trigonometric function of Sine
sine theta = Opposite/Hypotenuse
theta = Angle of elevation = 70°
Hypotenuse =Length of the ladder = 18ft
Opposite = Height of the wall = x
Therefore
sin 70 = x/ 18 ft
Cross Multiply
x = sin 70 × 18 ft
x = 16.914467174 ft
Approximately = 17 ft
Select all the properties of a right triangle.
A. Has a Right Angle
B. Has 1 Obtuse Angle
C. Has Parallel Lines
D. Has Perpendicular Lines
E. Has 3 Acute Angles
If u are an Expert PLzzz Answer Thisss!
Answers
Answer:
Sorry sis don't know the meaning
Aliyah spent half of her weekly allowance playing arcade games. To earn more money her parents let her mow the lawn for $7. What is her weekly allowance (W) if she ended up with $16? The variable should always go in the first term
Answers
Answer:
who mows the lawn for 7 dollars :/
Step-by-step explanation:
A construction company produces two products (doors and windows) that require two plants (A and B). Management wants to determine how many units of each product should be produced to maximize profit. For each unit of Product 1 (i.E. Door), 2 workers are required in Plant A and 4 workers are required in Plant B. For each unit of Product 2 (i.E. Window), 3 workers are required in Plant A and 4 workers are required in plant B. The company has 40 workers in Plant A and 60 workers in Plant B. Each unit of Product 1 gives a profit of $100. Each unit of Product 2, up to 10 units, gives a profit of $80. Any excess over 10 units of Product 2 brings no profit; so, such excess has to be ruled out.
Answers
Answer:
Z max = 1500
x₁ = 15
x₂ = 0
Step-by-step explanation:
From problem statement:
Plant A Plant B Profit $/each
Product 1 (Doors ) x₁ 2 4 100
Product 2 (windows ) x₂ 3 4 80
Product 2 (windows ) x₂ above 10 is scrap
Objective function to maximize
z = 100*x₁ + 80*x₂
Subject to:
Plant A capacity
2*x₁ + 3*x₂ ≤ 40
Plant B capacity
4*x₁ + 4*x₂ ≤ 60
Windows condition:
0*x₁ + x₂ ≤ 10
Model:
Max z = 100*x₁ + 80*x₂
Subject to:
2*x₁ + 3*x₂ ≤ 40
4*x₁ + 4*x₂ ≤ 60
x₂ ≤ 10
x₁ , x₂ ≥ 0 and integers
Afther 6 iterations using Simplex Solver AtomZmath
Z max = 1500
x₁ = 15
x₂ = 0
find x:x+x=20
please find x for me
Answers
Answer:
x = 10
Step-by-step explanation:
10 + 10 = 20
Good luck with your work!
Answer:
x = 10
Step-by-step explanation:
x + x = 20 can also be interpreted as 2x = 20. This makes it easier to solve for the variable.
To isolate x, do the inverse operation of multiplication. So, we have to divide both sides of the equation by 2.
[tex]\frac{2x}{2}[/tex] = [tex]\frac{20}{2}[/tex]
Simplify this equation for x = 10.
I hope this is helpful. Good luck ^^
The height of a cylindrical vase is 11 inches as shown below. The base of the cylinder has a diameter of 4½ inches. Which measurement is closest to the volume of the cylinder in cubic inches? * 34 points 1,710.6 cubic inches 155.51 cubic inches 699.79 cubic inches 174.95 cubic inches
Answers
Answer:
174.95
Step-by-step explanation:
Volume=πr^2h
3.142 * (4.5÷2)^2 *11
=174.95