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4 years ago

Please Help!! What is the next step in the proof? Choose the most logical approach.

Mathematics

1 answer:

marta [7]4 years ago

7 0

Answer:

statement D is correct.

<em>Statement: ∠7 ≅ ∠6 and ∠8 ≅ ∠5</em>

<em>Reason: Vertical Angles Theorem</em>

Step-by-step explanation:

Given that

3 ≅ ∠7 and ∠4 ≅ ∠8

from statement 2 because they are corresponding angles.

∠8 ≅ ∠5

because its vertical angles

The vertical angles theorem is about angles that are opposite each other.

So,

∠4 ≅ ∠8 and ∠8 ≅ ∠5

which means

Hence,

∠3 = ∠7

∠4 = ∠5

they are known as interior alternative angles.

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3 years ago

The width of a rectangle is 6 cm less than its length. If its perimeter is 80 cm then its lengths (in cm) and area (in cm²) are

mr_godi [17]

Start by stating the given info as mathematical expressions:

1. "<span>The width of a rectangle is 6 cm less than its length."
$w=l-6$

2. "I</span><span>ts perimeter is 80 cm."
$P=80$

Using the formula for perimeter ( $P=2l+2w$ ) we can show:
$80=2l+2w$ .

We now have 2 equations in 2 unknowns and can solve by substitution:
</span> $80=2l+2w$
$80=2l+2(l-6)$
$80=2l+2l-12)$
$92=4l$
$l=23$

The length is 23cm.

Having the length w can then find the width:
$w=l-6$
$w=23-6$
$w=17$

The width is 17cm.

And finally the area:
$A=lw$
$A=(23)(17)$
$A=391$

The area is $391cm^{2}$ .

As a check we can use the known perimeter:
$80=2l+2w$
$80=2(23)+2(17)$
$80=46+34$
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4 years ago

. Complete the analogy: _____________ is to Function as Transformation is to One-to-one Function.

Elodia [21]

Answer:

The function machine metaphor helps explain the definition and properties of a function. ... One tool for understanding functions is the function machine metaphor. Once you ... We can imagine it is some machine that does this transformation.

Step-by-step explanation:

https://www.khanacademy.org/math/algebra2/x2ec2f6f830c9fb89:transformations/x2ec2f6f830c9fb89:symmetry/v/function-symmetry

this might help you.

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3 years ago

Can I get help on this

emmainna [20.7K]

The equation for cosine is the adjacent/hypotenuse. Looking at our L, the letter right next to it is the lowercase l, so that is the adjacent. The hypotenuse is always the side opposite the right angle, so the hypotenuse in this question is the lowercase m. The answer for the first question, then, is k/m. For the second question, you are asked to find the side of q. In questions like these, always start from the angle given to you. Start from the 51 degrees. Right next to the 51 degrees is q, so q is the adjacent. We also have a number, 134, which is opposite the given angle 51. Now use the trigonometric ratio that involves adjacent and opposite, which is tan. Therefore, tan51 is the right answer. Hope this helps! Ask me for more help.

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3 years ago