Answers
Answer:
54° and 110°
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral are supplementary, sum to 180°
(9)
19x - 26 + 7x - 2 = 180
26x - 28 = 180 ( add 28 to both sides )
26x = 208 ( divide both sides by 26 )
x = 8
Then
∠ EFG = 7x - 2 = 7(8) - 2 = 56 - 2 = 54°
(10)
21x - 33 + 14x + 3 = 180
35x - 30 = 180 ( add 30 to both sides )
35x = 210 ( divide both sides by 35 )
x = 6
Then
∠ YVW = 14x + 3 = 14(6) + 3 = 84 + 3 = 87°
The inscribed angle YVW is half the measure of its intercepted arc YW, so
arc YW = 2 × 87° = 174°, then
arc XW = 174° - 64° = 110°
Cyclic quadrilateral is drawn inside a circle. The measure of the ∠EFG is 54°. The measure of the angle made by the arc XW is 110°.
What is a Cyclic quadrilateral?A cyclic quadrilateral is a quadrilateral that is drawn inside a circle. The sum of the opposite angle of the cyclic quadrilateral is always equal to 180°.
9.) As we know that the sum of the opposite angles of a cyclic quadrilateral is supplementary, therefore, their sum is 180°. Thus, we can write for
[tex]\angle GDE + \angle EFG = 180^o\\\\19x - 26 + 7x - 2 = 180\\\\26x - 28 = 180\\\\26x = 208\\\\x = 8[/tex]
Now, substitute the value of x, in order to get the measure of the ∠EFG,
[tex]\angle EFG = 7x - 2\\\\\angle EFG = 7(8) - 2\\\\\angle EFG = 56 - 2\\\\\angle EFG = 54^o[/tex]
The measure of the ∠EFG is 54°.
10.) As we know that the sum of the opposite angles of a cyclic quadrilateral is supplementary, therefore, their sum is 180°. Thus, we can write for
[tex]\angle YXW + \angle YVW = 180^o\\\\21x - 33 + 14x + 3 = 180\\\\35x - 30 = 180\\\\35x = 210\\\\x = 6[/tex]
Now, substitute the value of x, in order to get the measure of the ∠YVW,
[tex]\angle YVW = 14x + 3\\\\\angle YVW = 14(6) + 3 \\\\\angle YVW= 84 + 3 \\\\\angle YVW = 87^o[/tex]
As we know that in the inscribed∠YVW, the ∠YVW is half the measure of its intercepted arc YW, therefore, We can write it as,
arc YW = 2 × 87° = 174°, and
arc XW = 174° - 64° = 110°
The measure of the angle made by the arc XW is 110°.
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Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
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Answer:
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A full waterbed mattress is 8 ft by 3 ft by 2 ft. The mattress is to be filled with water that weighs 62.4 lb ft3. Find the weight of the water in the mattress to the nearest pound.
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Answer:
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Step-by-step explanation:
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Answer:
[tex]transformation: (y,-x)[/tex]
----------------------------
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Answer:
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Step-by-step explanation:
Assessment started: undefined.
Item 1
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
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An item costs $15. The sales tax is 6%. What is the cost of the item after taxes?
Answers
Answer:
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Step-by-step explanation:
How many sixths are in one third?
Complete these equations:
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Answers
Answer:
2 sixths are in 1/3
Step-by-step explanation:
2/6 = 1/3
Answer:
2
Step-by-step explanation:
It takes two one-sixths to make a third. We can see that there are 1 × [tex]\frac{1}{6}[/tex] = 6 sixths in a whole.
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Step-by-step explanation:
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HURRY PLEASEE!! A new health drink has 140% of the recommended daily allowance (RDA) for a certain vitamin. The RDA for this vitamin is 50mg. How many milligrams of the vitamin are in the drink?
Answers
Answer:
50+0.4*50
Step-by-step explanation:
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A milk truck has a diameter of 10 and feet and a height of 50 feet. How much milk can the truck hold?
Answers
Answer:
The mentioned milk truck can hold:
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Jeff has 4 red pens and 2 blue pens in his backpack. He also has 3 yellow highlighters and 2 green highlighters in his backpack. If he reaches into his backpack and grabs one pen and one highlighter without looking, what is the probability that he will grab a red pen and a yellow highlighter?
Answers
Answer:
1/15
Step-by-step explanation:
In probability,
"AND" means "multiplication"
"OR" means "ADDITION"
We want probability of Blue Pen and Yellow Highlighter. So we find individual probabilities and "MULTIPLY" them.
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Let P(y) be probability of yellow highlighter
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Answers
Answer:
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Step-by-step explanation:
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Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
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Answers
Answer:
23.62 meters
Step-by-step explanation:
Find how far Tiesha threw the discus by subtracting 0.38 from 24:
24 - 0.38
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Answers
Answer:
28 hrs
Step-by-step explanation:
in 8 hrs she earns $320,
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Annie would need to work 28 hours to earn $1,120 at the same rate.
To determine how long Annie would have to work to earn $1,120 at the same rate, we can set up a proportion based on the given information.
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320/8 = 1120/x
To solve this proportion, we can cross-multiply and then solve for x:
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Answers
330/11=30
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For Ed to give Fay money so they r equal, he would need to give $45 so that they both are at 165.
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Answers
Answer:
Step-by-step explanation:
Using the 45°-45°-90° triangle theorem, find the value of h, the height of the wall.
a statistical question will be answered by a distribution of result's true are false?
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Answer:
True :)
Please mark me brainliest!
La proporción de empleados de una empresa que usan su auto para ir al trabajo es 5:16. Si hay un total de 800 empleados, diga la cantidad de autos que se espera que haya estacionados en un día laboral en la zona dedicada a empleados.
Answers
Answer:
250 coches
Step-by-step explanation:
Tenemos la siguiente información de la pregunta;
Proporción de empleados que vienen a trabajar con sus coches = 5/16
Número total de empleados = 800
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Answers
Answer:
1. Three fourths
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4. 75%
Step-by-step explanation:
i dont know which one you want
Answer:
.75
Step-by-step explanation:
3 over 4 means [tex]\frac{3}{4}[/tex], and a fraction is just a division problem. 3 ÷ 4 = .75
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Answers
Answer:
(-1.5, 1.5), '(-1.5, 1) and (0.5, -1)
Step-by-step explanation:
Given the coordinate (x, y) If dilated by a factor k, the resulting coordinate will be (kx, ky).
Similarly given the coordinates of a triangle (−3, 3), (−3, 2), and (1, −2)
when dilated by a factor of 1/2, the new coordinates will be at;
A (-3, 3) = A'(1/2*-3, 1/2 * 3) = A'(-1.5, 1.5)
B (-3, 2) = B'(1/2*-3, 1/2 * 2) = B'(-1.5, 1)
C (1, -2) = C'(1/2*1, 1/2 * -2) = C'(0.5, -1)
There are 5,000 trout in a lake, the population decreases 2% yearly. How many trout will there be after 4 years?
Answers
Answer:
4,600
Step-by-step explanation:
First you find 2% of 5,000 which is 100 then you determine 2% every 4 years which is 100x4 which equals 400. then subtract 400 from 5,000 which gets you 4,600
Answer:
4600
Step-by-step explanation:
2% of 5000 is 100
100 x 4 = 400
5000 - 400 = 4600
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A sweater regularly priced at $135 is on sale at 15% off. How much would you pay
for the sweater, including taxes of 13%?
Answers
you just figure out 15% of 135 which is 20.25 so you subtract that from 135, which gives you $114.75. then you just do 114.75 times the tax % and it totals out to be $129.66
I need help ASAP!!!
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Answers
Answer:
c
Step-by-step explanation:
because i said so
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Answer:
answer should be in the image :)
Three yrs hence, a men will be three time his brother age and the sum of present age is 18 find their present age
Answers
Answer:
Step-by-step explanation:
Let the age of a man = x
Age of his brother = y
Three yrs hence, a man will be three time his brother age
This is written as:
x + 3 = 3(y + 3)
x + 3 = 3y + 9 .... Equation 1
The sum of present age is 18
= x + y = 18
x = 18 - y
We substitute 18 - y for x in Equation 1
find their present age
18 - y + 3 = 3y + 9
Collect like terms
21 - 9 = 3y + y
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y = 12/4
y = 3 years
x = 18 - y
x = 18 - 3
x = 15 years