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Jet001 [13]
3 years ago
8

How do I find the value of x​

Mathematics
1 answer:
geniusboy [140]3 years ago
5 0

Answer:

x=8.06

Step-by-step explanation:

Since it's a right triangle, we can use Pythagorean Theorem, which is a^2+b^2=c^2. The hypotenuse, or longest side is always C, so in this case we're going to do C^2-a^2=b^2. 9^2=81, 4^2=16, 81-16=65, square root of 65 is 8.06, so x=8.06

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Miss has a sheet of wrapping paper 85cm in length and 60 cm in width. She cuts the paper into rectangular pieces of length 20 cm
dalvyx [7]

Answer:

Part a - 25 pieces

Part b - 4 sheets

Step-by-step explanation:

<u>Part a</u>

Think of this in terms of how many "units" can the total paper be cut into. Easiest way to keep track of units is by their area. In other words, take the total area and see how many unit areas fit into it:

Number of units = total area / unit area

N = (85 x 60) / (20 x 10)

N = 5100 / 200

N = 25.5

Therefore the greatest number of pieces the paper can be cut into is 25 units (the 0.5 doesn't count since it's not a full pieces).

<u>Part b</u>

Again, back to units. This time the "total" is 100, and our unit size is 25.5. So:

Number of units = total gifts / gifts per unit

N = 100 / 25.5

N = 3.9

Therefore 4 sheets of wrapping paper will be needed (you need to round the 3.9 up because wrapping paper sheets only come in whole numbers for the purposes of this question).

7 0
3 years ago
Find the measure of ∠AED for m∠BEC = 118
mylen [45]

dang nobody answered.. and this question is on an assignment  

7 0
3 years ago
=0.56x−0.25n=0.20x−0.03
katovenus [111]

Given:

m=0.56x-0.25

n=0.20x-0.03

To find:

The sum of m and n.

Solution:

We have,

m=0.56x-0.25

n=0.20x-0.03

The sum of m and n is:

m+n=(0.56x-0.25)+(0.20x-0.03)

Combining the like terms, we get

m+n=(0.56x+0.20x)+(-0.25-0.03)

m+n=(0.76x)+(-0.28)

m+n=0.76x-0.28

Therefore, the sum of m and n is m+n=0.76x-0.28.

7 0
3 years ago
This figure shows △XYZ . MZ¯¯¯¯¯¯ is the angle bisector of ∠YZX . What is XM ? Enter your answer, as a decimal, in the box. unit
astraxan [27]

Answer:

Length of XM is 5.5 units.

Step-by-step explanation:

Given △XYZ where MZ is the angle bisector of ∠YZX . we have to find the length of XM.

A triangle with vertices  X, Y, and Z. Side XZ is base. A line segment drawn from Z to M bisects ∠YZX into two parts ∠YZM and ∠XZM.

YZ=7 units, XZ=11 units and YM=3.5 units

By angle bisector theorem which states that an angle bisector of an angle divides the opposite side in two segments that are proportional to the another two sides of the triangle.

Hence, \frac{YM}{MX}=\frac{YZ}{XZ}

⇒ \frac{3.5}{MX}=\frac{7}{11}

⇒ MX=5.5 units.

Hence, length of XM is 5.5 units.


4 0
3 years ago
Read 2 more answers
Find the value of x in the figure below. <br> 26<br> 56<br> Х
SashulF [63]
The answer is 30

Explanation:

So all of the angles in a triangle add up to 180 degrees and so if you split the triangle into separate triangles then you can add up the angles that are known and subtract from 180 to get the size of the missing angle e.g 90 + 56 = 146, 180 -146 = 34 for the other triangle 90 + 26 = 116, 180 - 116 = 64 and so 64 - 34 = 30
4 0
3 years ago
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