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2 years ago

Order the following fractions from smallest to largest 45/90 5/9 3/1

Mathematics

1 answer:

Contact [7]2 years ago

7 0

Answer:

The order :

45/90, 5/9,3/1

Step-by-step explanation:

45/90=0.5

5/9=0.555

3/1=3

Then the order :

45/90, 5/9,3/1

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In the diagram below, XY and YZ are tangent to O which expression gives the measure of XYZ?

icang [17]

The solution of this question will make use of the Two Tangents from Point Theorem which states that "the measure of an angle formed by two tangents drawn from a point outside the circle is half the the difference of the intercepted arcs".

We can also see that the measure of arcs are: $\overarc{XWZ}=245^{\circ}$ and $\overarc{XZ}=115^{\circ}$

Thus, as per the theorem, the measure of the $\angle XYZ$ can be calculated as:

$m\angle XYZ=\frac{1}{2}(\overarc{XWZ}- \overarc{XZ})$

Therefore, we get:

$m\angle XYZ=\frac{1}{2}(245^{\circ} -115^{\circ})$

Thus, out of the given options, option B is the correct option.

8 0

3 years ago

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Twice the sum of a number and 3 times a second number is 4. The difference of ten times the seco

34kurt

Two numbers that gives twice the sum of a number and 3 times a second number is 4. The difference of ten times the second number and five times the first is 90 are -10 and 4

Given :

Twice the sum of a number and 3 times a second number is 4. The difference of ten times the second number and five times the first is 90.

Let a and b be the two unknown numbers

Lets frame equation using the given statements

Twice the sum of a number and 3 times a second number is 4.

$2(a+3b)=4\\a+3b=2$

the difference of ten times the second number and five times the first is 90

$10b -5a=90\\Divide \; by \;5 \\2b-a=18$

Now use these two equations to solve a and b

$a+3b=2\\-a+2b=18$

Add both the equations

$a+3b=2\\-a+2b=18\\--------------------------\\5b=20\\b=4$

Now find out 'a'

$a+3b=2\\a+3(4)=2\\a+12=2\\a=2-12\\a=-10$

The two numbers are -10 and 4

Learn more : brainly.com/question/13856304

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3 years ago

Set up a proportion to solve for x in the following similar triangles,

fredd [130]

Answer:

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Step-by-step explanation:

Since the triangles are similar then corresponding sides are in proportion, that is

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12(x - 4) = 120 ( divide both sides by 12 )

x - 4 = 10 ( add 4 to both sides )

x = 14

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mr Goodwill [35]

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