? Question
Warm-Up
Given: AB || CD
m/ZYB = 60°
Prove: m/DXW = 120°
A
W
Z
Y/60°
X
Select the correct answer from each drop-down menu.
Statements
AB || CD
m/ZYB
ZYXDand ZDXWform a linear pair.
K
B
=
60°
m/YXD
m/DXW = 120°
Reasons
given
given
definition of a linear pair
corresponding angles have equal measures

Answer:

a) 910

b) 828100

c) 144320

Step-by-step explanation:

a. ∑y

This is the sum of all values of y. So

[tex]\sum y = 216 + 184 + 35 + 92 + 142 + 175 + 9 + 57 = 910[/tex]

b. (∑y)^2

This is the square of the sum, so the square of 910, that we found in the previous item.

910² = 828100

c. ∑y^2

This is the sum of the squares of each amount spent. So

[tex]\sum y^2 = 216^2 + 184^2 + 35^2 + 92^2 + 142^2 + 175^2 + 9^2 + 57^2 = 144320[/tex]

Answer:

[tex] \frac{288}{ - 32} = \frac{ - 9}{1} \\ = - 9[/tex]

Answer:

the simplest form of 288/-32 is 91.

Step-by-step explanation:

hope this helps sorry if im wrong

Answer:

c

Step-by-step explanation:

Answer:

x - 27 + 27 = 62 + 27

x - 0 = 89

(annex rule)

x = 89

Step-by-step explanation:

please mark brainlist

Answer:

7/8 of a cake

Step-by-step explanation:

4 4/4 - 3 1/4 = 1 3/4

7/4 x 1/2 = 7/8

Answer:

3 flowerbeds and 5 lawns.

Step-by-step explanation:

I promise.

Because it is extremely hard to find the area of this figure all together, it would be in our best interest to split this figure up into three different pieces: the two horizontal rectangles, and the verticle rectangle. We can find the area of all three and add them up. Be aware that there are two different ways that you can break this figure up, As shown in the attachments. I will be using the first image (the one with the tall horizontal rectangles, NOT the almost-squares).

So, we see that we have enough information to solve for the area of the left-most rectangle. Area = lw. 10 x 4 = 40, so the area is 40. Next, we have to notice, that the horizontal rectangles are also the same, so both of the areas of the two horizontal rectangles are 40.

Now, we can find the middle rectangle. We know that the length of the entire thing is 18, but it is taken up by 8 (4+4) of the horizontal triangles, so 18-8=10, so the length Is 10. We also know that the height of the horizontal rectangles is 10, so 10-3=7. Our dimensions for the rectangle are 10x7 or 70 square units. If we add them all together, 40+40+70=150.

The area is 150 square units

Answer:

68°

Step-by-step explanation:

90°(right angle)-22°(angle 5 measurement) = 68°

Answer:

uh...love is when you feel a certain way around someone

Step-by-step explanation:

Answer:

Kindly check explanation

Step-by-step explanation:

Xbar = 0.3015 ; Rbar = 0.00154

USL = 0.295 ; LSL = 0.305

For a subgroup size of 3 ; k = 3 ; d2 = 1.693

The mean = xbar = 0.3015 mm

The standard deviation = Rbar / d2 = 0.00154 / 1.693 = 0.0009096

b) Suppose that parts below the LSL can be reworked, but parts above the USL must be scrapped. Estimate the proportion of scrap and rework produced by this process.

P(X < 0.295)

(x - mean) / standard deviation

(0.295 - 0.3015) / 0.0009096 = 0.00003

0.00003 should be reworked.

P(X > 0.305)

1 - P(X < 0.305)

(x - mean) / standard deviation

(0.305 - 0.3015) / 0.0009096 = 3.847

1 - P(Z < 3.847)

1 - 0.99994

= 0.00006

0.00006 should be reworked.

c) Suppose that the mean of this process can be reset by fairly simple adjustments. What value of the process mean would you recommend? Estimate the proportion of scrap and rework produced by the process at this new mean.

Recommended mean = 0.3000 mm

P(X < 0.295)

(x - mean) / standard deviation

(0.295 - 0.3000) / 0.0009096 = 0.00003

0.00003 should be reworked.

P(X > 0.305)

1 - P(X < 0.305)

(x - mean) / standard deviation

(0.305 - 0.3000) / 0.0009096 = 5.497

1 - P(Z < 5.497)

1 - 0.99997

= 0.00003

0.00003 should be reworked.

Answer:

A

Step-by-step explanation:

there is no intersection which means no solution...i dont knwo how to explain sorry

perimeter of a parallelogram

= 2(l + b)

= 2(8 inches + 6 inches)

= 2(14 inches)

= 28 inches

Step-by-step explanation:

Answer:

Choice 3 is not a function.

For a set of coordinates to be a function, there must be exactly one y-value for every x-value.

For choice 3, we see that the x-coordinate of "1" has two y-values, 3, and 7.

This means, that choice 3 is NOT a function.

Let me know if this helps!

Answer:the answer is 182.7

Step-by-step explanation:brainliest please Sans Undertale out

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Answer:

b

Step-by-step explanation:

Answer:

252 ; 0.00593 ; 0.0074 ; 0.9926 ; 0.347

Step-by-step explanation:

A.)

n = 10 ; r = 5

Required outcome :

nCr = n! ÷ (n-r)!r!

10C5 = 10! ÷ (10-5)!5!

(10*9*8*7*6) / (5*4*3*2*1)

= 252

B.)

Total possible outcome : 24C5 = 42504

P(all will be from day shift) = 252 / (24C5) = 0.00593

C.)

P(all will be from the same shift) :

[(10C5)+(8C5)+(6C5)] ÷ 24C5

(252 + 56 + 6) / 42504 = 0.0074

D.)

Probability that at least 2 different shift will be represented :

1 - P(all will be from the same shift)

1 - 0.0074 = 0.9926

D.)

Probability that atleast one of the shift will be unrepresented :

(10+6C5) + (8+6C5) + (10+8C5) - (10C5)+(8C5)+(6C5)

[16C5 + 14C5 + 18C5 - 10C5 + 8C5 + 6C5] ÷ 24C5

(4368 + 2002 + 8568 - 252 + 56 + 6) / 42504

= 14748 / 42504

= 0.347

Compound interest is  the interest calculated using the principal and the interest over a period of time.

The statements that are true about compound interest are:

The interest can be compounded over different time intervals.

The interest in most banks is not calculated using compound interest.

It is the interest we earned on the interest.

The formula for the amount earned with compound interest after n years is given as:

A = P [tex](1 + rn)^{nt}[/tex]

P = principal

r = rate

t = time in years

n = number of times compounded in a year.

We have,

The interest is figured on the principal only.

This is not true because we calculate the compound interest on the interest as well.

The amount in the account grows slower than with simple interest of the same rate.

This is not true because we are calculating the interest on the principal and interest together.

The amount with compound interest will be more than the amount with simple interest.

The interest can be compounded over different time intervals.

This is true because we can have different time intervals such as,

monthly compounded, quarterly compounded, bimonthly compounded, and yearly compounded.

The interest in most banks is not calculated using compound interest.

This is true because banks don't calculate using compound interest.

Thus,

The statements that are true about compound interest are:

The interest can be compounded over different time intervals.

The interest in most banks is not calculated using compound interest.

Learn more about compound interest here:

https://brainly.com/question/13155407

#SPJ2

Answer:

61.6 units

Step-by-step explanation:

C (-8,-10)

D (8,10)

E (-8,10)

find the distance between the following points

CD = 25.6

DE = 16

EC = 20

Add them all up

61.6 units

Answer:

Step-by-step explanation:

∠ACB and ∠ECD are vertical angles, so ∠ACB = ∠ECD.

∠D = ∠B

∠A = ∠E

△ABC and △EDC are similar because they have the same angles.

Answer:

A. 47

Step-by-step explanation:

Hope it helps! If you want an explanation, ask in the comments and I'll give you one!

Answer:

A. [tex] T= \frac{KP^2}{Z}[/tex]

D. K = 8

B. 216

Step-by-step explanation:

Q. T varies directly as the square of P and inversely as Z and T=12 when P=3 and Z=6

Solution:

According to the given information:

T varies directly as the square of P.

[tex] T\alpha P^2..... (1)[/tex]

T varies inversely as Z.

[tex] T\alpha \frac{1}{Z} ..... (2)[/tex]

Combining equations (1) & (2)

[tex] T\alpha \frac{P^2}{Z}[/tex]

[tex] T= \frac{KP^2}{Z}[/tex]

(Where K is proportionality constant)

(This is the equation of variation)

Plug T=12, P=3 and Z=6 in the above equation of variation, we find:

[tex] 12= \frac{K(3)^2}{6}[/tex]

[tex] 12= \frac{K\times 9}{6}[/tex]

[tex] K= \frac{12\times 6}{9}[/tex]

[tex] K= \frac{72}{9}[/tex]

[tex] K= 8[/tex]

So, the value of the variation constant = 8

Next, plug P=9, Z=6 and K = 8 in the above equation of variation, we find:

[tex] T= \frac{8(9)^2}{6}[/tex]

[tex] T= \frac{8\times 81}{6}[/tex]

[tex] T= \frac{648}{6}[/tex]

[tex] T= 108[/tex]

[tex] 2T= 2\times 108[/tex]

[tex] 2T= 216[/tex]

So, 216 is twice the value of T.

Answer:

Step-by-step explanation:

According to www.cliffsnotes.com it says: The derivative of a function may be used to determine whether the function is increasing or decreasing on any intervals in its domain. If f′(x) > 0 at each point in an interval I, then the function is said to be increasing on I. f′(x) < 0 at each point in an interval I, then the function is said to be decreasing on I.

Hope this helps!!

Answer: the slope is -4/3

Step-by-step explanation:

Answer:

38.5 in squared

Step-by-step explanation: