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3 years ago

In need of geometry help, once again my stupid brain cant remember anything.

Mathematics

1 answer:

melomori [17]3 years ago

3 0

You cannot rely on the drawing alone to prove or disprove congruences. Instead, pull out the info about the sides and angles being congruent so we can make our decision.

The diagram shows that:

Side AB = Side XY (sides with one tick mark)
Side BC = Side YZ (sides with double tickmarks)
Angle C = Angle Z (similar angle markers)

We have two pairs of congruent sides, and we also have a pair of congruent angles. We can't use SAS because the angles are not between the congruent sides. Instead we have SSA which is not a valid congruence theorem (recall that ambiguity is possible for SSA). The triangles may be congruent, or they may not be, we would need more information.

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So to answer the question if they are congruent, I would say "not enough info". If you must go with a yes/no answer, then I would say "no, they are not congruent" simply because we cannot say they are congruent. Again we would need more information.

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Use the arc length formula to find the length of the curve y = 4x − 5, −1 ≤ x ≤ 3. Check your answer by noting that the curve is

Reptile [31]

Answer:

$4\sqrt{17}$

Step-by-step explanation:

Let's find the answer by using the arc length formula which is:

$\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^{2} } } \, dx$

First, let's find dy/dx which is:

y=4x-5

y'=4*(1)-0

y'=4, now let's use the formula:

$\int\limits^3_{-1} {\sqrt{1+4^{2}} } \, dx=\sqrt{17} *(3-(-1))=4\sqrt{17}$

Now, using the distance formula we have:

$d=\sqrt{(x2-x1)^{2} +(y2-y1)^{2} }$

$y(-1)=4*(-1)-5=-9 \\y(3)=4*(3)-5=7$

So we have two points (-1, -9) and (3, 7) so:

$d=\sqrt{(3-(-1))^{2} +(7-(-9))^{2} }=4\sqrt{17}$

Notice both equations gave the same length $4\sqrt{17}$ .

5 0

3 years ago

Calculate the frequency of a wave with a speed of 130 m/s and a wavelength of 2.5

denis23 [38]

Answer:

52 Hz

Step-by-step explanation:

We can divide the speed by the wavelength to find the number of waves propagated in one second:

(130 m/s)/(2.5 m/wave) = 52 waves/s

The SI unit of frequency is the Hertz, equal to one cycle per second.

The frequency of this wave is 52 Hz.

_____

<em>Additional comment</em>

The use of the unit Hz to signify frequency was adopted in 1933, but did not replace the unit "cycles per second" (CPS) until a number of years later.

3 0

2 years ago

A realtor predicts that the value of a $70,000 home will increase by the same percentage each year, and will increase by 8% ever

mina [271]

Answer:

$f(n)=70,000(1.08)^{0.25n}$

3 0

2 years ago

Martinez purchased a pair of shoes on a web site. the original price of the shoes was $75. she used a coupon code to recive 20%

tankabanditka [31]

Answer:

$9 or 9% less

Step-by-step explanation:

Original Price = OP

$75= OP

75 x .2 (20% discount) = 15

$15 discount

$75 - $15 = $60

$60 x .1 (service fee) = 6

$60 + $6= $66

Op ($75) - $66 = 9

$9 less than OP

How I check the percentage (probaly not how ur supposed to but ah well)

75 = 100%

75 + 25 = 100 but 25 more than 100%

66 + 25 = 91, also makes 75 100% again

100%-91%=9%

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3 years ago

When you purchase an item with a credit card, you might not ever have to pay for it. True False

Sergio039 [100]

False. You get billed by the end of the month the money is “borrowed” money from the bank until you have to pay it all back, if it’s not paid on time you have to pay extra (interest). With debit card your money is taken out immediately.

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3 years ago