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wolverine [178]
3 years ago
11

The total length of three boards is 7/8 of a yard. The length of two of the boards are 1/4 of a yard and 3/16 of a yard. What is

the length of the third board.
Mathematics
1 answer:
grigory [225]3 years ago
6 0

Answer:

7/16 of a yard

Step-by-step explanation:

Let's put the boards to the same denominator so it's easier.

Let's go with a denominator of 16

1/4= 4/16

7/8= 14/16

3/16 stays the same.

So, 4/16+3/16+x=14/16

7/16+x=14/16

x=7/16 of a yard, the length of the 3rd board.

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Uv = 8 and wx=5 find the missing measure of a rhombus
Harlamova29_29 [7]

Answer:

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Step-by-step explanation:

At first we should know the following about the rhombus

1) All sides are congruent

2) The diagonals are perpendicular and bisects each other.

Given UV = 8 and WX = 5

So, according to (1)

TU = UV = VW = WT = 8

And according to (2)

WX = UX = 5

And ΔWXV is a right triangle at ∠x

So, XV² = WV² - WX² = 8² - 5² = 64 - 25 = 39

∴XV = √39

So, XV = XT = √39

So, the missing measure of a rhombus are as following:

  • TU = UV = VW = WT = 8
  • WX = UX = 5
  • XV = XT = √39
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