Answer:
10800
Step-by-step explanation:
Sum of all angles in a 62 sided polygon = 10800°.
Determine if the triangles are congruent. If they are, state how you know. NO LINKS!!!!
Part 1c. Show your work please.
Answers:
Each pair of triangles are congruent. The congruence reasoning is shown below.
ASASSSHA======================================
Further Explanation:
ASA is where we have the marked side between two marked angles. This is slightly different from AAS or SAA. The order is important. The diagram shows how the angles pair up (eg: the double arc angles are the same measure). Using ASA is enough to prove the triangles congruent.SSS is used here because we have three pairs of congruent sides. The unmarked sides overlap perfectly, so we consider this a shared side. They are congruent to each other (because of the reflexive property). So we have enough info to show that the triangles are congruent.HA stands for hypotenuse angle. It's probably not that often used. It only applies to right triangles. The two overlapped segments are the hypotenuse of each right triangle, so that takes care of the "H" of "HA". The A part refers to the congruent acute angles (not the right angles). Therefore, the triangles are congruent by the HA theorem.Abbreviations:
ASA = angle side angle
SSS = side side side
HA = hypotenuse angle
the equation of a circle C is (x+2)^2+(y-7)^2=36. What is its crnter (h,k)?
Answer:
The center is ( -2, 7) and the radius is 6
Step-by-step explanation:
A circle is written in the form
(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x+2)^2+(y-7)^2=36
(x - -2)^2+(y-7)^2=6^2
The center is ( -2, 7) and the radius is 6
What is the radius of a hemisphere with a volume of 839 cm", to the nearest tenth of a centimeter?
Answer:
7.4 cm
Step-by-step explanation:
Volume of sphere
v = (4/3)πr³
Volume of hemisphere will be half that
v = (2/3)πr³
(2/3)πr³ = 839
multiply both sides by 3/2
πr³ = 1,258.5
Divide both sides by π
r³ = 400.5929917623
Take the cube root of both sides
r = 7.3717022001
Rounded
r = 7.4 cm
Determine the value of x.
Answer:
Step-by-step explanation:
(B). 2√2
work out the angle x please help.
Answer:
x is 13°.take the triangle to find the measure of x.180° -(85°+82°)=x
180°-167°=13°
For the given triangle the measure of the angle x is = 3 degrees.
Labeling the given figure,
since angle C and angle B are alternate angles
Therefore,
For the triangle ABE
The interior angle for A = x
The interior angle for B = 180 -98
= 92 degree
Since we know that,
The sum of the two interior angles of a triangle is equal to the exterior angle of the opposite side.
Therefore,
⇒ x + 92 = 180 - 85
⇒ x = 3 degrees.
Hence,
The measure of the angle x is = 3 degrees.
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Melinda is playing a game with a number cube. Each face of the cube has a number from 1 to 6. If she tosses a number greater than 4she wins the round. Which statement correctly describes her chances of winning?
A)Melinda will certainly win the round.
B)Melinda will most likely win the round.
C)Melinda has an equal chance of winning or not winning the round.
D)Melinda will most likely not win the round.
Answer:
Step-by-step explanation:
She wins if the numbers 5 or 6 come up. There are 4 other numbers that are equally likely to be face up.
Most of the time she will lose because two out of 6 is much smaller than 4/6. If you were betting on horses, the odds are 1 in 2. That means that who ever you are playing against should put up 2 dollars for every dollar you put up.
That would be a fair game.
Answer:
the correct t answer is d
What is the height of the trapezoid?
Answer:
4 inches
Step-by-step explanation:
The line that is perpendicular to the bottom of the trapezoid is the height.
Greg is installing a tile floor in a room that is 10 feet long by 15 feet wide. He will use 1-foot square tiles. He has two different types of tile: plain and hand-painted. Plain tiles cost $0.79 per tile. Hand-painted tiles cost $5.00 per tile. What is the maximum number of hand-painted tiles that Greg can use to keep the total cost under $200?
Answer:
The maximum number of hand-painted tiles that Greg can use to keep the total cost under $ 200 is 19.
Step-by-step explanation:
Since Greg is installing a tile floor in a room that is 10 feet long by 15 feet wide, and he will use 1-foot square tiles, and he has two different types of tile: plain and hand-painted, and plain tiles cost $ 0.79 per tile, while hand-painted tiles cost $ 5.00 per tile, to determine what is the maximum number of hand-painted tiles that Greg can use to keep the total cost under $ 200, the following calculation must be performed:
10 x 15 = 150
150 x 0.79 + 0 x 5 = 118.5
130 x 0.79 + 20 x 5 = 202.7
131 x 0.79 + 19 x 5 = 198.49
Therefore, the maximum number of hand-painted tiles that Greg can use to keep the total cost under $ 200 is 19.
What is the value of tan(π6)
A rectangular garden covers 80 yd?. The length is 7 yd longer than the width. Find the length and width.
Round your answers to the nearest tenth of a yard.
Answer:
The width of the rectangle is 6,105 yards, and the length of the rectangle is 13,105 yards.
Step-by-step explanation:
Given that a rectangular garden covers 80 square yards, and the length is 7 yd longer than the width, to find the length and width of the rectangle the following calculation must be performed, knowing that the area of a rectangle arises from multiplying its width by its length:
X x (X + 7) = 80
5 x 12 = 60
6 x 13 = 78
8 x 14 = 112
6.1 x 13.1 = 79.91
6,105 x 13,105 = 80
Therefore, the width of the rectangle is 6,105 yards, and the length of the rectangle is 13,105 yards.
Someone help me please this is an emergency T.T
Answer:
x < 3
Step-by-step explanation:
The graph of f(x) is above the graph of g(x) for values of x less than 3.
Answer: x < 3
PLEASE HELP!!! what is the slope on this graph?
Answer:
Step-by-step explanation:
Look at the two points and is it going up or down? The slope is 1/1 because it is going up 1 and over 1
how to calculate surface area
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Explanation:
Divide the figure into areas for which you have a surface area formula. Use the appropriate formula for each area, then add up the results.
Formulas are available for surface areas of a cone, cylinder, sphere, pyramid, rectangular prism, and for plane shapes that are circles, ellipses, triangles, rectangles, trapezoids, and regular polygons.
Most of the figures for which you are asked to find the area will decompose to some subset of these shapes. Take care to identify the relevant dimensions of each of the constituent parts of the area, and to make sure that all parts are accounted for. Do not allow your parts of the area to overlap, unless you intend to account for that overlap by subtracting the area that is counted more than once.
Also, use your common sense. A semicircle will have half the area of a circle, for example.
In some cases, it may be expedient to compute the area of a larger figure than the one you have, then subtract the part of that area that is missing from your figure.
Determine which ordered pair is a solution of y = -5x - 1.
a. (9,-2)
b. (5, 24)
C. (-1,6)
d. (-4, 19)
Answer:
d.
Step-by-step explanation:
1) just to substitute the value of 'x' into the given equation and check equality:
(9;-2): -2≠ -45-1;
(5;24): 24≠-25-1;
(-1;6): 6≠5-1;
(-4;19): 19=20-1.
a point has the coordinates (0,k) what is reflection of the point will proceed in a image at the same coordinates (0,k)
Answer:
A reflection of the point across the y-axis
what is the area of the irregular polygon shown below?
this contain two triangle and one rectangle
therefore total area = 2×area of triangle + area of rectangle
then refer the attachment
Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.
Assume that you take out a $2000 loan for 48 months at 3.5% APR. How much total interest will you have paid at the end of the 48 months? (Round your answer to the nearest cent.)
$
Step-by-step explanation:
Are you using a particular calculator for the class? For this class, is the payment expected to be compounded monthly?
There is a function in Microsoft Excel that will calculate the payment for you, but the answer is going to be slightly different for a business math class than a calculus-based statistics class.
The excel formula to calculate a payment is
=PMT(0.04/12,60,25000,0)
.04/12 is the interest APR on a monthly basis
60 is the number of months
25000 is the current amount owed
0 is the future balance after 60 payments
The answer from Excel is $460.41 -- ignore the negative sign for these purposes.
Multiply that number by the 60 months you pay and you get a total paid of $27,624.78
Remove the initial 25K and $2,624.78 is your interest amount.
By the way, I used the simplifying assumptions that the problem meant "interest rate" when it said "APR", and that the rate would compound monthly. In the actual loan industry, the interest rate is only part of the calculation for APR, a
146.08
Step-by-step explanation:
Let's start by figuring out the payment
effective rate: .035/12= .002916667
\begin{gathered}2000=x\frac{1-(1+.002916667)^{-48}}{.002916667}\\x=44.71\end{gathered}
2000=x
.002916667
1−(1+.002916667)
−48
x=44.71
then it's just
44.71*48-2000=146.08
Answer:
146.08
Step-by-step explanation:
Let's start by figuring out the payment
effective rate: .035/12= .002916667
[tex]2000=x\frac{1-(1+.002916667)^{-48}}{.002916667}\\x=44.71[/tex]
then it's just
44.71*48-2000=146.08
Using the quadratic formula to solve x2 35-x, what are the values of x?
-12-121
-12-11
54.
12/19
51 21
2
Answer:
x = (-1 ± √21) / 2
The first choice
Step-by-step explanation:
x² = 5 - x
Put in standard form
x² + x - 5 = 0
Use quadratic equation
x = ( -b ± √( b² - 4ac) ) / (2a)
Plug in a = 1, b = 1 , c = -5
x = (-1 ± √( 1² - 4*1*(-5)) ) / 2
evaluate
x = (-1 ± √21) / 2
A population analysist is using the formula Pn = 25.8(1.0219)h to predict the population for Ghana, a country in Africa. What does the number in in parenthesis tell us?
Answer:
Kindly check explanation
Step-by-step explanation:
Given the formula :
Pn = 25.8(1.0219)^h to predict the population of Ghana ;
The equation given is in the form of an exponential function:
The general form of an exponential distribution :
y = ab^x
a = Initial value ; b = constant multiplier or growth or Decay factor
Comparing :
The number in parenthesis = 1.0219 = b
b = Decay or growth factor :
Since b > 1 ; then We have a growth factor;
b = 1 + rate
1.0219 = 1 + rate
Rate = 1.0219 - 1
Rate = 0.0219
Hence, the population is growing at a rate of about (0.0219)*100% = 2.19%
Cassie took 2 quizzes last week. She scored the same in each quiz.
Her score was -12 from being perfect. What was the difference
between Cassie's score and a perfect score on each quiz?
Help fastttt
Answer:
since her score was -12 from being perfect
if she had scored 12 more points her score would have been perfect .
that is difference between her score and the perfect score o each quiz was 12
The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.
A graph titled Tammy's Pay with number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).
What does the y-intercept represent?
Tammy initially had $10 pay.
Tammy will type for 10 minutes each day.
Tammy initially had $4 pay.
Tammy will type for 4 minutes each day.
Answer:
Tammy initially had $4 pay.
Step-by-step explanation:
C on edge 2021
The y-intercept represent Tammy initially had $10 pay.
From the given graph, we can observe that the line passes through the points (2, 18) and (8, 42).
Using the two points on the line, the slope (m) of the line:
m = (change in y) / (change in x)
= (42 - 18) / (8 - 2)
= 24 / 6
= 4
Using slope-intercept form of a line equation: y = mx + b,
y= 4x+ b
Put x=2 and y= 18 we get
18 = 4(2)+b
18 = 8 + b
b= 18- 8
b = 10
Thus, the y-intercept represent Tammy initially had $10 pay.
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The question is there are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get? In liters. Enter your answer as a fraction or a mixed number. Part B write a number sentence that represents the problem. In the first box write an equation like 1+1. In the second box write your answer
what is the significance of triangular design in a scissor,compass,seesaw..give five sentences
Answer:
Triangles have two meanings depending on their position. When pointing up, they represent stability and power, when pointing down they become unstable. The triangle is primarily a masculine shape, but when inverted it also represents female reproduction. Triangles possess a number of key advantages that make them ideal for both architects and curious students. The strength of a triangle derives from its shape, which spreads forces equally between its three sides.
Step-by-step explanation:
Plzzz help me please ??
A. 4/7 Answer:
B. 60/7 or (8 and 4/7)
Step-by-step explanation:
A. 4 divided by 7 is the same as 4/7
B. 4/7 • 15/1= 60/7
help; what is 120 – 5x < 20
Answer:
x>20
Step-by-step explanation:
Hi there!
[tex]120-5x < 20[/tex]
Subtract 120 from both sides
[tex]120-5x -120< 20-120\\-5x<-100[/tex]
Divide both sides by -5 and switch around the inequality symbol (because we're dividing by a negative number)
[tex]\frac{-5x}{-5} >\frac{-100}{-5} \\x>20[/tex]
I hope this helps!
using a=15 b=12 c=21 is the triangle ABC a right angle triangle
If f(x) =2x²+5sqrt(x-2), complete the following statement: f(6) =
Answer:
f(6) = 82
Step-by-step explanation:
[tex]f(x) = 2x^2 + 5\sqrt{x-2}[/tex]
[tex]=> f(6) = 2(6)^2 + 5\sqrt{6-2}[/tex]
[tex]= 2 \times 36 + 5 \times \sqrt{4}[/tex]
[tex]= 72 + 5 \times 2[/tex]
[tex]= 72 + 10[/tex]
[tex]= 82[/tex]
The measure of angle S is 65 degrees.
What is the measure of angle R?
RS
A
115°
B.
230°
с
65°
D
25°
Answer:
A. 115°
Step-by-step explanation:
180° - 65° = 115°
Find the missing coordinates.
Answer:
1) (2, 1)
2) (2, -2)
3) (-1, -1)
4) (-5, -5)
Answer:
1. Pairs A(2, 5), B(6, 5), and C(6, 1)
missing coordinate is (2,1)
2. Pairs A(2, 3), B(7, 3), and C(7, -2)
missing coordinate is (2,-2)
3. Pairs A(-5, -1), B(1, -1), and C(1, -5)
missing coordinate is (-5,-5)
4. Pairs A(-1, 4), B(7, 4), and C(7, -1)
missing coordinate is (-1,-1)
Hope this is correct!! Have a nice day!!<3
A news report suggested that an adult should drink a minimum of 4 pints of water per day.
Based on this report, determine the minimum amount of water an adult should drink,
in fluid ounces, per week.
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Answer:
448
Step-by-step explanation:
(4 pt/da)×(7 da/wk)×(16 oz/pt) = 448 oz/wk
That would be 448 fluid ounces per week.