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olga_2 [115]
3 years ago
6

M is the midpoint of YZ. If YM = x + 3, and YZ = 3x -1, find MZ

Mathematics
1 answer:
emmainna [20.7K]3 years ago
3 0

Answer:

MZ =2x - 4


Step-by-step explanation:

YM = x +3

YZ = 3x -1

YZ =YM +MZ

3x - 1  =  x +3 +MZ

MZ = 3x -1  - [x+3]

MZ =  3x -1 -x -3

MZ = 2x -4

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rachel is frosting the top of two cakes and wants to know which cake will require more frosting. one cake is round with a diamet
Jet001 [13]

Answer:

The square cake is has a larger area by about 40.73 square inches

Step-by-step explanation:

Find the area of the top of each cake.

The square cake has an area of 81 sq inches,   ( length x width = Area, the

                                                                                    length is 9)

The round cake has an area of 16π, which is about 50.27 square inches

  (A = πr², here r is 4, radius is half the diameter)

81 - 16π =  81 - 50.27 =  40.73 square inches

4 0
3 years ago
If line GH is perpendicular to line HJ, then GJ is ____ HJ.
valentinak56 [21]

Option A: >

Solution:

Given a triangle GHJ.

The line GH is perpendicular to line HJ.

This means the triangle is a right angled triangle.

In ΔGHJ, GH is the base of the triangle and

HJ is a height of the triangle.

Then the third side must be the hypotenuse of the right triangle.

We know that by the Pythagoras theorem,

(\text {Hypotenuse})^2=(\text{Base})^2+(\text{Height})^2

(\text {GJ})^2=(\text {GH})^2+(\text {HJ})^2

This clearly shows that the hypotenuse is greater than the height.

⇒ GJ > HJ

Option A: > is the correct answer.

If line GH is perpendicular to line HJ, then GJ is > HJ.

3 0
3 years ago
One side of a rectangle is 9 millimeters shorter than six times the other side. Find the length of the longer side if we also kn
vodka [1.7K]

Given:

W(width) = (6L) - 9

L(length) = L

Equation:

2( [ 6L ] - 9) + 2 (L) = 150

= 12L - 18 + 2L = 150

= 12L + 2L = 150 + 18

=14L = 168

L = 168/14, so the length is 12. Let's check our work.

Width:  6(12) - 9 = 72 - 9 = 63

Length: 12

Since there are two lines of width and two lines of length:

2(12) + 2(63) = 24 + 126, which gives you a perimeter of 150 mm.

Hope this helped.

4 0
3 years ago
Can someone please help me with these questions.
Juli2301 [7.4K]

Answer:

Question 1 - 81.74 Pound sterling

Question 2 - 20.28 Pound sterling

Question 3 - 21.72 United States Dollar

Question 4 - 429.38 New Zealand Dollar

Question 5 - 451.28 Euro

Question 6 - 2,936.88 Chinese Yuan

(That's all I got.)

5 0
3 years ago
What is an appropriate measure to record your weight?
Reil [10]
That depends on where you live.  The purpose of writing down your
weight is often to tell other people what your weight is, so you want to
record it in units that the other people around you understand.

If you live in rural Scotland or Ireland, then you'd want to record it
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If you live in Liberia, Myanmar, or the USA, then you'd probably
weigh yourself and record the results in pounds.

Anywhere in the rest of the world, it would be recorded in terms of kilograms.

You must be especially careful in the USA.  Here, you must not allow
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an American should chance to fall on any written mention of a liter,
a meter, or a kilogram, the effect on his American physiognomy is
toxic.  His blood evaporates, his eyes turn backwards in their sockets,
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his brain.  It is well established now that having been born in the USA,
or after living there for some period of time, a person is incapable of
comprehending the metric system of units, so the rest of us must
protect them from it.
6 0
3 years ago
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