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3 years ago

Which statement must be true?

Mathematics

2 answers:

STatiana [176]3 years ago

5 0

Answer:

Option C.

Step-by-step explanation:

Given information: ST = TU, ∠STV=88°, ∠UTV=92°.

In triangle STV and UTV

ST = TU (Given)

VT = VT (Reflection property)

∠STV=88° and ∠UTV=92° (Given)

If two corresponding sides of two triangles are congruent, then the third side of triangles depends on the including angle of congruent sides.

The larger included angle has larger opposite side.

∠STV < ∠UTV

∠SV < ∠UV

It can be written as

∠VS < ∠VU

Therefore, the correct option is C.

poizon [28]3 years ago

4 0

Vs<vu
cause smaller sides have smaller angels in front ofthem

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Graph the line that passes through the point (0,-7) and (-3,-9) and determine the equation of the line

Blababa [14]

Answer:

The equation is y=2/3x-7

5 0

3 years ago

Read 2 more answers

Which term of the arithmetic sequence 1, 5, 9, 13, ... is 169? It is the th term.

sveta [45]

Answer:

43rd term

Step-by-step explanation:

Arithmetic sequences are basically linear functions, so the same value is added every time. So, knowing that Asub1 is equal to one, and Asubn is equal to 169 we can take 169-1 and divide by our common difference. This is four as 5-1=4 and 9-5=4.

So, (169-1)/4=42.

This is however 42 terms after Asub1, so this would be the 43rd teen of the sequence!

8 0

3 years ago

The length of the rectangle is x + 12. The width of the rectangle is x + 3. Please determine the area of the rectangle.

OverLord2011 [107]

Answer:

For part A, the product of (-5 + x)(x + 4) is equal to x^2 - x - 20. For part B, the product of -5 + x and x + 4 is not equal to the product of 5 + x and x - 4. And for part C the product of (3 + 5)(3^2 + 4 - 3) equals 70.

Step-by-step explanation:

I will tell you how I came up with those answers.

The product of (-5 + x)(x + 4) can be found using the FOIL method(First, Outer, Inner, Last).

Start with multiplying -5 and x. -5 * x = -5x.

Now multiply -5 and 4. -5 * 4 = -20.

Next, multiply x and x. x * x = x^2.

Finally, multiply x and 4. x * 4 = 4x.

And now it is time to simplify and change to standard form.

-5x - 20 + x^2 + 4x.

x^2 - 5x - 20 + 4x.

x^2 - 5x + 4x - 20.

x^2 - x - 20.

The final answer for part A is x^2 - x - 20.

For part B, the product of -5 + x and x + 4 is already known.

But now we need to figure out the product of 5 + x and x - 4.

We can use the FOIL method again to solve for the new product.

Start by multiplying 5 and x. 5 * x = 5x.

Next, multiply 5 and -4. 5 * -4 = -20.

Now multiply x and x. x * x = x^2.

Finally, multiply x and -4. x * -4 = -4x.

And now we can simplify and arrange the terms into standard form.

5x - 20 + x^2 - 4x.

x^2 + 5x - 20 - 4x.

x^2 + 5x - 4x - 20.

x^2 + x - 20.

The final answer for part B is that the products of

(-5 + x)(x + 4) and (5 + x)(x - 4) are not equivalent. They look similar except the difference between them is the "x" value. The x value of the first equation's product is -x while the x value of the second equation's product is x.

For part C, use the FOIL method as used in the last questions to find the answer.

2 * 3^2 = 2 * 9 = 18.

2 * 4 = 8.

2 * -3 = -6.

5 * 3^2 = 5 * 9 = 45.

5 * 4 = 20.

5 * -3 = -15.

Now combine the numbers to get the final answer for part C.

Follow PEMDAS (Parentheses, Exponents, Multiplication, Division, Addition and Subtraction).

The only operations are subtraction and addition. The rule is the add before subtracting, but this does not always apply. For this being true, we only need to perform the first operation from the left side.

18 + 8 - 6 + 45 + 20 - 15.

26 - 6 + 45 + 20 - 15.

20 + 45 + 20 - 15.

65 + 20 - 15.

85 - 15.

70.

So the last answer to part C is 70.

Also the area of the rectangle is x^2 + 15x + 36. I forgot that part, my apologies.

3 0

3 years ago

write the slope - intercept equation that describes the line that passes through (-3,1) amd is parallel to the line described by

BigorU [14]

Since the line is parallel, the equation should have the same slope, therefore you know that y=4x+b.
In order to find b, you would need to plug in (-3,1) into x and y:
1=4(-3)+b
1=-12+b
b=13

Therefore the slope-intercept equation would be y=4x+13

8 0

3 years ago

find the exponential regression equation for the data points (-4, 0.75), (-2, 6), (3, 28), and (5, 162)

zubka84 [21]

for that, what you need is a calculator... like say a TI(texas instruments) 83 or 83plus or higher, will do regressions, if you have an android device like a phone or tablet, you can also get an app from the play store "Andie's graph", is a TI calculator emulator, it works just like the calculator itself, you'd only need the ROM

that said, you can also use some online calculators for that.

I could give you a direct link to one, but this site has issues with links, if you do a quick search in google for "keisan exponential regression calculator", it should be the first link, is from the Casio site.

you could do regressions in a spreadsheet as well.... you could check online for an "addin" or "extension", if you use MS Excel, pretty sure there are some addins for regressions.

if I recall correctly, Excel does regressions natively, but the addins are just frontends, is all, just some added interfacing.

anyhow, if you have an Android device Andie Graph works peachy, I have an 83plus, 84, 86 in it, they all work just like my old TI83plus.

there's also an app in the play store called Graph89, is an emulator for a TI89, the same you need a tiny little file, and texas instruments provides them, have also, works peachy too.

8 0

3 years ago