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3 years ago

If angle x and angle y form a linear pair then they are ______ (Congruent, Complementary, Supplementary) ???

Mathematics

1 answer:

Law Incorporation [45]3 years ago

4 0

Answer:

They are supplementary.

Step-by-step explanation:

If two angles form a linear pair, the angles are supplementary.

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The diagram shows a right-angled triangle.

Marizza181 [45]

Answer:

11.9 Cm.

Have a nice day!

Step-by-step explanation:

cos = adj/hyp

cos 24°= hcm/ 13cm

13 cos 24°= h

11.88= h

11.9 cm

7 0

1 year ago

What is the value of k in the function ƒ(x) = 112 - kx if ƒ(-3) = 121?k = a0

nexus9112 [7]

F(x) = 112 - kx
f(-3) = 121

f(-3) = 112 - k(-3)
f(-3) = 112 + 3k
121 = 112 + 3k
121 - 112 = 3k
9 = 3k
9/3 = k
3 = k <===

5 0

3 years ago

Read 2 more answers

A rectangular prism had a volume of 252 cubic centimeters. The length of the prism is 14 centimeters and the width of the prism

mojhsa [17]

<h2>Answer:</h2>

A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. A rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

$V=L\times W\times H$

FOR THE ORIGINAL PRISM WE HAVE THE FOLLOWING DIMENSIONS:

$L=14cm \\ \\ W=6cm \\ \\ H=3cm$

In fact, the volume is $252cm^3$ because:

$V=14\times 6\times 3 \therefore V=252cm^3$

Now the height of the prism was changed from 3 centimeters to 6 centimeters to create a new rectangular prism, therefore:

FOR THE NEW PRISM WE HAVE THE FOLLOWING DIMENSIONS:

$L=14cm \\ \\ W=6cm \\ \\ H=6cm$

So the new volume is:

$V=14\times 6\times 6 \therefore V=504cm^3$

<h3><em>What do we know about the volume of the new prism?</em></h3>

<em>Well, the volume has increased from </em> $252cm^3 \ to \ 504cm^3$ <em>and since</em> $504=2\times 252$ <em>we can say that the new volume is two times the original volume.</em>

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3 years ago

The balance in two separate bank accounts grows each month at different rates. The growth rates for both accounts are represente

Leno4ka [110]

That would be 42(x) greater than 809(x)

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3 years ago

Use complete sentences to explain the process of converting a logarithmic equation to its equivalent exponential form to obtain

DanielleElmas [232]

Knowing that logarithm functions and exponential functions are inverse to each other, the procees to convert a logarithmic equation to its equivalent is to perform all the operations to set an equation of the typ:

$log _{b}x = y$ ,

then invert to show it equivalent form:

$x= b^{y}$ .

With that you have solved the equation for x.

5 0

3 years ago

Read 2 more answers