Answers
9514 1404 393
Answer:
1: 40°; 2: 110°; 3: 70°; 4: 45°; 5: 65°
6: 70°; 7: 70°; 8: 65°; 9: 45°; 10: 17.5°
11: 15°; 12: 37.5°; 13: 70°; 14: 72.5°; 15: 20°
16: 87.5°; 17: 77.5°; 18: 35°; 19: 75°; 20: 20°
21: 50°; 22: 95°
Step-by-step explanation:
The angles are shown in the attached. The following relationships are used to find them.
an inscribed angle is half the measure of the arc it subtendsthe sum of angles in a triangle is 180°the angles where chords cross are half the sum of the intercepted arcsthe total of arcs in a semicircle is 180°an exterior angle of a triangle is equal to the sum of the remote interior anglesacute angles in a right triangle are complementary_____
All of the arcs around the circle are shown except EL and HN. EL is the difference between 180° and the other marked angles in semicircle SLH. It is 90°. HN has a vertical central angle with arc SE, so is the same measure, 40°.
Angle 1 is the central angle for arc HN, so has the same measure: 40°.
Angle 2 is half the sum of arcs SL and HW, so is (130+90)/2 = 110°.
Angle 3 is vertical to the second remote interior angle in triangle BDQ where angle 2 is an exterior angle. That is ∠3 = ∠2 -∠1 = 110° -40° = 70°.
Angle 4 is half arc NL, so is (40° +30° +20°)/2 =45°.
Angle 5 is the remaining interior angle of ∆BNW, so is 180° -70° -45° = 65°.
Angle 6 is half of arc HE, so is (30° +20° +90°)/2 = 70°.
Angle 7 is half of arc SN, so is 140°/2 = 70°.
— note that triangle HNQ is an isosceles triangle with central angle 40°, so the two base angles (∠6 and ∠7) are (180° -40°)/2 = 70°.
Angle 8 is half the measure of arc LS, so is (90° +40°)/2 = 65°.
Angle 9 is half the measure of arc HW, so is (40° +50°)/2 = 45°.
Angle 10 is half the measure of arc ST, so is 35°/2 = 17.5°.
Angle 11 is half the measure of arc OT, so is 30°/2 = 15°.
Angle 12 is half the measure of arc NO, so is (50° +25°)/2 = 37.5°.
Angle 13 is half the measure of arc HE, so is 140°/2 = 70°.
Angle 14 is half the measure of arc HT, so is (180° -35°)/2 = 72.5°.
Angle 15 is half the measure of arc ES, so is 40°/2 = 20°.
Angle 16 is vertical to the remaining interior angle of the triangle containing angles 14 and 15. Its measure is 180° -72.5° -20° = 87.5°.
Angle 17 is half the sum of arcs ES and OH, so is (40° +115°)/2 = 77.5°.
Angle 18 is half the measure of arc RN, so is (30° +40°)/2 = 35°.
Angle 19 is half the sum of arcs LR and EW, so is (20° +130°)/2 = 75°.
Angle 20 is half the measure of arc HN, so is 40°/2 = 20°.
Angle 21 is complementary to angle 1, so is (90° -40°) = 50°.
Angle 22 is the remaining interior angle of triangle ACE, so is (180° -35° -50°) = 95°.
Related Questions
which scatterplot does NOT suggest a linear relationship between x and y. Look AT IMAGE
Answers
Answer:
Graph C
Step-by-step explanation:
It is Graph C because the points are majorly curved, while the rest of the lines are linear because they are straight.
Hope this helps! :D
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The selling price for a classic painting is $16,000, which is $2000 less than two times its original price. What was the original price of the painting?
Answers
Answer:
$9,000
Step-by-step explanation:
$16,000 + $2,000 = $18,000
$18,000/2 = $9,000
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Answer:
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Step-by-step explanation:
Its a pattern that increases by $5 as it goes down.
Describe the transformation shown in the graph
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Answer:
270 degrees CCW rotationStep-by-step explanation:
This is 90 degrees CW or 270 degrees CCW rotationCorrect choice is C or orange tile
Write an equation of the line. (-2, 5), (5, -2)
Answers
Answer:
-2 x 5=10
Step-by-step explanation:
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Answer: Rectangle and Parallelogram
Step-by-step explanation:
Answer:
One could be a parallelogram that does not contain an internal right angle and the other a rectangle.
Step-by-step explanation:
Help and quick! What is the greatest common factor of these numbers. 36 and 54
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Answer:
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Step-by-step explanation:
have a good day :)))))))
Answer:
18
Step-by-step explanation:
the gcf is 18
have a great day!
(3/4)(-4/3) = 0
True or False
Answers
Answer:
False
Step-by-step explanation:
(3/4)(-4/3)=-3/2
Answer:
true
Step-by-step explanation:
your welcome
The average weekly salary of two employees is $5250. One makes $500 more than the other. Find their salaries.
Answers
Answer: thier salaries are $5000 and $5500
Step-by-step explanation:
Let the average weekly salary of one employee be =x
And that of the other employee be = x+500
Such that if thier average of their salaries= $5250
So, their total salary= $5250 x 2=10,500
The equation to solve each employee salary becomes
x+x+500=10,500
2x+500=10,500
2x=10,500-500
2x=10,000
x=10,000 /2
x= first employee salary =$5000
second employee = x+500 =$5500
Plzzz help meeeeeeeeee!
Answers
Answer:
B
Step-by-step explanation:
More students got more than 10 than students that didnt
Igor, whose eye height is 4.5 ft., wishes to find the height of an oak tree out in front of his castle. He places a mirror on the ground between himself and the tree. He is now 5.5 feet away from the center of the mirror and the mirrors is 70 feet from the tree. What is the height of the oak tree in front of Igor´s castle?
Please this is due in 15 minutes
Answers
explanation : take 5.5 and add it from 6.7
help help Find the surface area of the figure !
Answers
Answer: 340 in. squared
Step-by-step explanation:
17*7=119
15*7=105
8*7=56
8/2*15=60
119+105+56+60=340 in.^2
The diagram shows the spot on a basketball court called the "key". what is the area of the key? Use 3.14 for pi
Answers
10. Type in the correct Inequality
Answers
Answer:
x > 8
Step-by-step explanation:
The open circle means that 8 is not included in the solution.
All values greater than 8 are included.
Answer: x > 8
what is the least common denominator of 1/2, 2/3, and 3/8
Answers
Answer: 24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
For the least common denominator, we have to find the smallest number that all fo them multiply to.
2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26
3, 6, 9, 12, 15, 18, 21, 24, 27, 30
8, 16, 24, 32
i think we can see something
24 is the most common number between them all, so the fractions will be
12/24 (1/2), 16/24 (2/3), and 9/24 (3/8)
Guys please tell me the answer
Answers
Answer:
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Step-by-step explanation:
Find the time required for an object to cool from 280°F to 220°F by evaluating the following where t is time in minutes. (Round your answer to four decimal places.) *280 t= 10 In 2 1 dT T – 100 min
Answers
9514 1404 393
Answer:
5.8496 min
Step-by-step explanation:
[tex]\displaystyle t=\frac{10}{\ln{2}}\int_{220}^{280}{\frac{1}{T-100}}\,dT=\frac{10(\ln{(280-100)}-\ln{(220-100)})}{\ln{2}}=\frac{10\ln{(3/2)}}{\ln{2}}\\\\\boxed{t\approx5.8496\quad\text{min}}[/tex]
__
Modern calculators can perform integration with high accuracy. This one gives the same result.
Can someone pls help me with these equations
Answers
Answer:
1. y = -2x+5
2. y = 3/4 - 3
3. intercept = -5 slope = 4/3
4. intercept = 1 slope = -1/2
solve the given inequalitiesa) 2x +3> 15
Answers
-3. -3
2x>18
__ __
2. 2
x<9
Answer:
( 3 , 9 )
Step-by-step explanation:
First, add
3
to each segment of the system of inequalities to isolate the
x term while keeping the system balanced:
3 + 3 < 2 x − 3 + 3 < 15 + 3 6 2 x − 0 < 18 6 < 2 x < 18
, divide each segment by 2
to solve for x
while keeping the system balanced:
6 2 < 2 x 2 < 18 2 3 < 2 x 2 < 9 3 < x < 9 Or x > 3 ; x< 9
Brainliest?
Inscribed Angles B
Find each measure.
K
X=
6x
M
L
Answers
Answer:
x = 15
z = 25
Step-by-step explanation:
In [tex] \odot\: O, \: \angle MLK [/tex] is inscribed in a semicircle.
[tex] \therefore m\angle MLK =90\degree [/tex]
[tex] \therefore 6x\degree =90\degree [/tex]
[tex] \therefore 6x =90[/tex]
[tex] \therefore x =\frac{90}{6}[/tex]
[tex] \therefore x =15[/tex]
In [tex] \odot\: A, \: \angle PRQ[/tex] is inscribed in a semicircle.
[tex] \therefore m\angle PRQ =90\degree [/tex]
[tex] \therefore (4z-10)\degree =90\degree [/tex]
[tex] \therefore 4z-10 =90[/tex]
[tex] \therefore 4z =100[/tex]
[tex] \therefore z =\frac{100}{4}[/tex]
[tex] \therefore z =25[/tex]
Write the explicit rule
50, 45, 40, 35, 30
Answers
Answer:
a_n = 50 - 5n, for n = 1,2, 3, ...
Step-by-step explanation:
a_1 = 50
a_2 = 50 - 5 = 45
a_3 = 50 - 2 * 5 = 40
a_n = 50 - (n - 1) * 5
a_n = 50 - 5n + 5
a_n = 50 - 5n
Answer:
an = -5n + 55.
Step-by-step explanation:
This is arithmetic with common difference -5.
an = a1 + d(n-1)
an = 50 - 5(n - 1)
an = 50 - 5n + 5
an = -5n + 55.
5
Type the correct answer in each box.
50°
60°
709
Х
50°
The value of xis
o, and the value of yis
Answers
Answer:
x = 60°
y = 50°
Step-by-step explanation:
✅x = 180° - (50° + 70°) (sum of interior angles of a triangle theorem)
x = 180° - 120°
x = 60°
✅Based on the exterior angle theorem, the sum of the opposite interior angles of a triangle = the exterior angle.
Therefore,
50° + 60° = x + y
Plug in the value of x
50° + 60° = 60° + y
110° = 60° + y
y = 110° - 60°
y = 50°
Pls help mark brainlist
Answers
Answer:
176
Step-by-step explanation:
88 * 2 = 176
Omar is born weighing 8 pounds,3 ounces.The doctor says he should gain a about 5 ounces each week for the next 4 weeks.How much should Omar weigh after 4 weeks?
Answers
week 1 - 8.8
week 2 - 8.13
week 3 - 9.03
week 4 - 9.08
So, the Omar should weigh 9 pounds 8 ounces by the end of 4 weeks.
I hope this helped!
Olivia will deposit $1,530 in an account that earns 6% simple interest every year. Her sister
Melinda will deposit $1,500 in an account that earns 8% interest compounded annually. The
deposits will be made on the same day, and no additional money will be deposited or
withdrawn from the accounts. Which statement about the balances of Olivia's account and
Melinda's account at the end of 3 years is true?
A Olivia's account will have about $5.40 more than Melinda's account.
B Olivia's account will have about $84.17 more than Melinda's account.
C Melinda's account will have about $5.40 more than Olivia's account.
D Melinda's account will have about $84.17 more than Olivia's account.
Answers
D. Melinda's account will have about $84.17 more than Olivia's account.
Answer:
Olivia 275.4 and Melinda 360
Step-by-step explanation:
Olivia 1,530 x .06 = 91.8
91.8 x 3 = 275.4
Melinda 1,500 x .08 = 120
120 x 3 = 360
plz mark brainleist
Since everyone is in the math side of Brainly, i will just get attention here.
Can someone please help me? Im desperate ://
I have a question nobody is answering yet in the geography side of Brainly. Please find my acc and help me.
I n e e d this, thank you ://
Answers
Answer:
yes sir/ma'am omw
Step-by-step explanation:
have a great evening
Portions of three rectangles are shaded as shown. What is the area of the shaded region?
8 ft
10 ft
5 ft
12 ft
4 ft
Area of the Shaded Region:
square feet
Answers
Answer:
4ft
Step-by-step explanation:
Answer: 77ft
Step-by-step explanation:
Find the x-intercept of the line whose equation is 8x+2y=4.
1/2
4
2
Answers
Answer:
1/2
Step-by-step explanation:
8x+2y=4
To find x-intercept say y=0 and solve the equation.
8x+2(0)=4
8x=4
x=4/8
x=1/2
8x = 4
X = 1/2
A local cable TV/Internet/phone provider charges new customers $129 for all three services, per month, for the first year under their "3 for 129" promotion. Joanne normally
pays $74 for her monthly home phone service, $59 for Internet service, and $69 for cable television
a. What are her percent savings if she switches to the "3 for 1299 plan? Round to the nearest percent.
b. If, after the first year, the flat fee for all three services is $139, what are her percent savings? Round to the nearest percent.
Answers
Answer:
Step-by-step explanation:
Amount paid by Joanne before promotion = 74 + 59 + 69 = $ 202
a) Amount saved if she switches to "3 for 129 plan" = 202 - 129 = $ 73
Percentage of saving = [tex]\frac{73}{202}*100[/tex] = 36.13 = 36%
b) Amount saved after the first year = 202 - 139 = $ 63
Percentage of saving = [tex]\frac{63}{202}*100[/tex] = 31.18 = 31%
Which is a function?
O {(-3,5), (1,4), (3,7), (1,7),(4,9)}
O {(7,9), (13,-2), (8,4), (7,0), (4,12)}
O {(2,1),(-1,7), (6,-2), (10,3), (-6,0)}
O {(-2,4), (7,4), (-6,8), (-2,8), (1,1)