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2 years ago

Please answer correctly !!!!!!!!! Will mark Brianliest !!!!!!!!!!!!

Mathematics

2 answers:

Oksana_A [137]2 years ago

7 0

Line NM is 9 and the measure of angle MLN is 58 degrees. This is because both triangles are equal in length, size, and angle measures. The triangle to the right is just rotated and reflected.

KIM [24]2 years ago

5 0

Since the triangle is congruent the angles equal each other.
Angles:
P=N
Q=M
R=L
Which means line segment NM is equal to PQ (9 units)
Angle MLN is equal to angle QRP (58 degrees)

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Beth is buying a new washing machine that

Mazyrski [523]

Beth will pay $ 405.45 for washing machine

Solution:

Given that, Beth is buying a new washing machine that costs $450

Cost price = $ 450

She has a 15% off coupon

So, she has a discount of 15 % of 450

Let us find the discount rate

Discount rate = 15 % of 450

$Discount\ rate = 15 \% \times 450\\\\Discount\ rate = \frac{15}{100} \times 450 = 0.15 \times 450 = 67.5$

Thus discount rate is $ 67.5

Therefore, sales price is given as:

sales price = cost price - discount rate

sales price = 450 - 67.5 = 382.5

Thus she pays $ 382.5

Now she must pay 6 % sales tax

Let us find the sales tax rate

Sales tax rate = 6 % of 382.5

$sales\ tax\ rate = 6 \% \times 382.5\\\\sales\ tax\ rate = \frac{6}{100} \times 382.5 = 0.06 \times 382.5 = 22.95$

Thus sales tax rate = $ 22.95

How much will Beth pay for the washing machine?

Total amount paid by Beth = sales price + sales tax rate

Total amount paid by Beth = 382.5 + 22.95 = 405.45

Thus Beth will pay $ 405.45 for washing machine

7 0

3 years ago

I need help I’m struggling

andrew-mc [135]

All you need for a point to be left unchanged is it being on the line of reflection. (Generally speaking)

The first one is wrong cause you can have a line of reflection anywhere. If the line is horizontal ( x axis) then the slope would be zero. Whereas a line on y axis would be an undefined slope. There are also diagonal lines of reflections which have slopes

I am pretty sure the second one would be correct because, as previously stated, all the line needs to stay in the same place is it being on the line of reflection.

Again, lines of reflection do not have a set slope, a diagonal line of reflection going like / on the chart through the axis could have a slope of one, but it is not needed for the point to remain in the same place

The point does not necessarily need to be on the origin, it can be anywhere on the line of reflection, and if the line of reflection does not pass through the origin, a point on the origin would be moved in a reflection.

I hope this makes sense and helps you out a bit... have a good day

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