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3 years ago

Which statements must be true?

Mathematics

2 answers:

xenn [34]3 years ago

7 0

Answer:

CB || XY

AB || XZ

CA= $\frac{1}{2}$ YZ (This wasn't an option you listed, but my test offered it)

Step-by-step explanation:

Verified correct with test results.

iVinArrow [24]3 years ago

5 0

Answer:

Following are the solution to the given question:

Step-by-step explanation:

Please find the complete question in the attached file:

Using the formula for Mid-point:

$\bar{AB} || \bar{XZ} \\\\CA= \frac{1}{2} \ YZ\\\\\bar{CB} |||\bar{XY}$

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1. In a factory, all employees work a basic week of 38 hours. Any overtime worked during week-days is paid for at time and a hal

Troyanec [42]

Answer:

Step-by-step explanation:

1. reg pay: 8.96,week days: 1.5 overtime pay, sat: double pay, sun: triple pay

38 hrs regular pay : 38 * 8.96 = 340.48

15 hrs overtime during week : 15 * 1.5(8.96) = 15 * 13.44 = 201.60

3 hrs overtime on saturday: 3 * 2(8.96) = 3 * 17.92 = 53.76

2 hrs overtime on sunday: 2 * 3(8.96) = 2 * 26.88 = 53.76

Gross wage = (340.48 + 201.60 + 2(53.76) = 649.60 <====

===============================

2. reg pay : 14.60, weekday pay: 1.25,sat pay: 1.5 , sun pay: double

(a) basic wage = 40(14.60) = 584 <==

(b) overtime wage : 15 * 1.25(14.60) + 6 * 1.5(14.60) + 5 * 2(14.60) = (15 * 18.25) + (6 * 21.9) + (5 * 29.2) = 273.75 + 131.40 + 146 = 551.15 <==

================================

3. basic work wk: 40 hrs...earned 518...overtime 148

(a) basic pay rate : (518 - 148) / 40 = 370/40 = 9.25 per hr <==

(b) if overtime is paid for at double time.....so overtime pay is (2 * 9.25) = 18.50 per hr....and he got paid 148....148/18.5 = 8 hrs <==

4 0

3 years ago

laiz [17]

Answer:

44x +56y = 95

Step-by-step explanation:

To write the equation of the perpendicular bisector, we need to know the midpoint and we need to know the differences of the coordinates.

The midpoint is the average of the coordinate values:

((-2.5, -2) +(3, 5))/2 = (0.5, 3)/2 = (0.25, 1.5) = (h, k)

The differences of the coordinates are ...

(3, 5) -(-2.5, -2) = (3 -(-2.5), 5 -(-2)) = (5.5, 7) = (Δx, Δy)

Then the perpendicular bisector equation can be written ...

Δx(x -h) +Δy(y -k) = 0

5.5(x -0.25) +7(y -1.5) = 0

5.5x -1.375 +7y -10.5 = 0

Multiplying by 8 and subtracting the constant, we get ...

44x +56y = 95 . . . . equation of the perpendicular bisector

8 0

3 years ago

Lines CD and CE are tangent to circle a. If m∠DAE = 130°, what is the measure of ∠DCE? Tangent CD intersects with circle A at po

inna [77]

The answer is 50º

Step-by-step explanation:

It is the correct and only plausable answer.

5 0

3 years ago

Read 2 more answers

What is this math problem? -15a=17

Anestetic [448]

Answer:

17 67899887753 o

haggis to get a chance to get a chance

up to you and I don't know how I turned

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Step-by-step explanation:

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5 0

3 years ago

Math question need help solving this question !

barxatty [35]

Answer:

x=30°

Step-by-step explanation:

Because of the given congruency,

Angle A = Angle D = 65°.

Angle C = 55°

Angle B = Angle E = 2x

Now, In Triangle ABC,

Angle A + Angle B + Angle C = 180°.

65° + 2x + 55° = 180°

120 + 2x = 180

2x = 60

x = 30°

HOPE IT HELPS!!!

8 0

3 years ago