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Rufina [12.5K]
3 years ago
15

(02.05 MC)

Mathematics
2 answers:
irina [24]3 years ago
6 0
The answer is the last choice. It says the triangle is dilated by a scale factor of \frac{1}{4}. To check this we can just look at the side lengths if the triangles. AB has a length of 8 by looking at the graph, and A'B' has a length of 2 from the graph too. So when we put those lengths\frac{2}{8} into a fraction, it simplifies to \frac{1}{4}. The only answer that says this is the last answer choice.
andriy [413]3 years ago
5 0
Triangle ABC is similar to triangle A prime B prime C prime. because triangle A prime B prime C prime. is obtained by dilating Triangle ABC.by a scale factor of 1 over 4. and then rotating it about the origin by 180 degrees
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The LCM of 2 numbers is 60 and 1 of the numbers is 7 less than the other number. What are the numbers?
Phoenix [80]
Let's represent the two numbers by x and y.  Then xy=60.  The smaller number here is x=y-7.

Then (y-7)y=60, or y^2 - 7y - 60 = 0.  Use the quadratic formula to (1) determine whether y has real values and (2) to determine those values if they are real:

discriminant = b^2 - 4ac; here the discriminant is (-7)^2 - 4(1)(-60) = 191.  Because the discriminant is positive, this equation has two real, unequal roots, which are
        -(-7) + sqrt(191)
y = -------------------------
             -2(1)

and 

        -(-7) - sqrt(191)
y = ------------------------- = 3.41 (approximately)
             -2(1)

Unfortunately, this doesn't make sense, since the LCM of two numbers is generally an integer.


Try thinking this way:  If the LCM is 60, then xy = 60.  What would happen if x=5 and y=12?  Is xy = 60?  Yes.  Is 5 seven less than 12?  Yes.






5 0
3 years ago
Simplify the expression. <br> -216) + 3(5 – 4 x 2)
masya89 [10]

Answer:

Step-by-step explanation:

If it's (-216):

(-216) + 3(5 - 4 x 2)

(-216) + 3( -3)

(-216) -9

-225

If it's -2(16):

-2(16) + 3(5 - 4 x 2)

-2(16) + 3(-3)

-32 - 9

-41

4 0
3 years ago
REALIZAR CADA ELERCICIO POR LOS TRES METIDOS EXPLICADOS EN CLASE
meriva

Hello!

Answer:

1. x= 1 / y= 2 / z= -3 / <u>(1 ; 2 ; -3)</u>

2. x= 3 / y= -5 / z= 8 / <u>(3 ; -5 ; 8)</u>

Step-by-step explanation:

                           

5 0
3 years ago
Eleven is 20% of _______?
strojnjashka [21]
55
You Times 20% by 5 to get fully 100%
So if 11 is 20%
You have to Times 11 by 5 to get fully 100%
11 x 5 is 55.
The answer is 55
5 0
3 years ago
Hi, want to be my friend?
vivado [14]

Answer:

yeah sure

Step-by-step explanation:

because I'm friendly

7 0
3 years ago
Read 2 more answers
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