Given quadrilateral ABCD, find the values for x and y.
x = 4, y = 6
x = 34, y = 56
x = 1067, y = 223
x = 627, y = 1109
Answers
Answer:
x = 4, y = 6
Step-by-step explanation:
Consider the triangle BEC.
∠BEC=112 (vertically opposite angles)
∠EBC=∠ECB (BEC is an isosceles triangle)
All the angles in a triangle add up to 180, so:
∠BEC+∠EBC+∠ECB=180
112+(7x+6)+(7x+6)=180
14x=180-112-6-6
x=56/14=4
Consider the triangle CED
∠CED=68 (lies on a straight line with 112, angles on a straight line add up to 180)
∠EDC=∠ECD (CED is an isosceles triangle)
All the angles in a triangle add up to 180, so:
∠CED+∠EDC+∠ECD=180
68+(9y+2)+(9y+2)=180
18y=180-68-2-2
y=108/y=6
The value of x and y for quadrilateral ABCD is at x = 4 and y = 6. Option A is correct.
What are quadrilaterals?A closed quadrilateral has four sides, four vertices, and four angles. It is a form of a polygon. In order to create it, four non-collinear points are joined. Quadrilaterals always have a total internal angle of 360 degrees.
Given quadrilateral ABCD,
Consider the ΔBEC.
∠BEC = 112 (vertically opposite angles)
∠EBC=∠ECB
ΔBEC is an isosceles triangle because BE = EC.
the sum of angles of a triangle is 180°,
∠BEC + ∠EBC + ∠ECB = 180°
112 + (7x + 6) + (7x + 6) = 180°
14x = 180 - 112 - 6 - 6
x = 56/14
x = 4
Consider the ΔCED
∠CED = 68
lies on a straight line with 112°, and angles on a straight line add up to 180°.
∠EDC = ∠ECD
ΔCED is an isosceles triangle because DE = CE.
the sum of the angles of a triangle is 180°
∠CED + ∠EDC + ∠ECD = 180°
68 + (9y + 2) + (9y + 2) = 180°
18y = 180 - 68 - 2 - 2
y=108/18
y = 6
Hence values of x = 4 and y = 6.
Learn more about quadrilaterals
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1. The band must eam at least $75 for a trip. Band members
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Step-by-step explanation:
75 * 35=2625
Suppose C1;C2;C3 are three didifferent biased coins, whose probability of heads equals 0.4, 0.5, and 0.2 respectively. Suppose coins are placed together in a box and you randomly picked a coin from the box. Flip the coin 10 times. Let A denote the event you randomly chose coin C1. Let B denote the event that you got exactly 4 heads out of the 10 coin flips.
Compute the following probabilities:
P(A∩B)
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Answers
Solution :
[tex]$ P(A \cap B) = P(\text{coin}\ C_1 \text{ chosen and 4 heads in 10 trails})$[/tex]
[tex]$= \frac{1}{3} \times ^{10}C_4 \times 0.4^4 \times 0.6^6$[/tex]
= 0.0836
P(B)= P(coin [tex]$C_1$[/tex] chosen and 4 heads in 10 trails) + P(coin [tex]$C_2$[/tex] chosen and 4 heads in 10 trail) + P(coin [tex]$C_3$[/tex] chosen and 4 heads in 10 trail)
[tex]$=\frac{1}{3}\times ^{10}C_4 \times 0.4^4 \times 0.6^6 + \frac{1}{3}\times ^{10}C_4 \times 0.5^4 \times 0.5^6 + \frac{1}{3}\times ^{10}C_4 \times 0.2^4 \times 0.8^6$[/tex]
[tex]$=0.0836+0.0684+0.0294$[/tex]
[tex]$=0.1813$[/tex]
P(A|B) = [tex]$\frac{P(A \cap B)}{P(B)}$[/tex]
[tex]$=\frac{0.0836}{0.1813}$[/tex]
[tex]$=0.4611$[/tex]
Directions: Find the missing term in each pair of equivalent ratios.
1. 3:4 = 21:n
2. 1:5 = n : 40
3. 2 : n = 8 : 12
4. n = 2
42 7
5. 4 = 20
9 n
Answers
Step-by-step explanation:
1 multiplied by 7
3;4=21:28
2) multiplied by 8
1:5= 8:40
3)divided by 4
2:3= 8:12
4) multiplied by 6
12/42= 2/7
5) multiplied by 5
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4. The area of a rectangle is (x2+8x + 12) cm. If the
length of the rectangle is (x + 6) cm, show that is
breadth is (x + 2) cm.
Answers
Answer:
★ Given :
Area of triangle = x² + 8x + 12 cm²
length = (x+6)cm
★ To show :
breadth = (x+2) cm
★ Solution :
We know that,
Area of a rectangle = length × breadth
by putting values
(x² + 8x + 12) = (x+6) × breadth
by diving (x² + 8x + 12) into factors
using middle term splitting
x² + 6x + 2x + 12
x(x+6) + 2(x+6)
= (x+2)(x+6)
(x+2)(x+6) = (x+6) × breadth
Hence, verified..
Answer:
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C
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
The left side equals 1/25, but the righ side is 625
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Step-by-step explanation:
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Answer:
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Answer:
Step-by-step explanation:
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65(75/100)
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Again this answer is not precise but I rounded everything to the hundredths digit because pi is never ending. I hope it helped!
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Step-by-step explanation:
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Step-by-step explanation:
A recent study was conducted in which a random sample of men and a random sample of women were surveyed about whether they were fans of a professional football team. The study found that 39 percent of men in the sample were fans and 22 percent of women in the sample were fans. A 99 percent confidence interval for the difference in the proportion of fans of a professional football team between men and women was reported as (0.133,0.207) . Which of the following statements is the best interpretation of the interval?
a. The difference in the percents of fans of a professional football team between men and women is 17%.
b. There is a 99% chance of finding a difference between 13.3% and 20.7% for the percents of men and women who are fans of a professional football team.
c. We are 99% confident that the percent of men who are fans of a professional football team exceeds that of women by at least 20.7%.
d. We are 99% confident that the difference in the sample percents of men and women who are fans of a professional football team is between 13.3% and 20.7%.
e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.
Answers
Answer:
e. We are 99% confident that the difference in the population percents of all men and women who are fans of a professional football team is between 13.3% and 20.7%.
Step-by-step explanation:
x% confidence interval:
A confidence interval is built from a sample, has bounds a and b, and has a confidence level of x%. It means that we are x% confident that the population mean is between a and b.
In this question:
99% confidence interval for the difference in the proportion of fans of a professional football team between men and women is of (0.133, 0.207)
The interpretation is that we are 99% sure that the true proportion is in this interval for the entire population, so the correct answer is given by option e.
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Answers
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Answers
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Step-by-step explanation:
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On a boat tour there are half as many children as there are adults. There are 30 people on the tour. How many children are there?
Answers
Answer:
10 children
Step-by-step explanation:
I need help pls how do u do this step by step? ):
Answers
However with b, if your stock drops by 25% then goes up by 35% overall you only have a +5%.
Answer: A.
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Answers
Answer:
64.5°
25
Step-by-step explanation:
64.5° (If they are similar, they have the same angle measurements).
You can figure out z by using ratios.
6/10=15/z
cross multiply
150=6z
150÷6=z
z=25 (Although, there is a problem with this. If you use the Pythagorean theorem to find z, you get 28.8).
Which of the following goes through (-2,4)
-x+3y=10
2x-2y=-4
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x-y=6
Answers
I need help asap!!!!
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Step-by-step explanation:
step 1. a circle has an area, A, of 81(pi)
step 2. A = (pi)r^2 = 81(pi)
step 3. therefore r^2 = 81 or r = 9
step 4. if the radius is 9 inches then the diameter is 18 inches.
two distance are in the ratio 9 to 4 if the first distance is 270km, what is the second distance?
Answers
Let's practice a little algebra and set the second distance to x.
9/4=270/x
solve
9x=270*4
x=30*4
x=120
The second distance is 120.
Done! any question about this just ask me in the comment.
