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otez555 [7]
3 years ago
8

Use the scale factor from Part I and a proportion to find the length of RT. Show your work.

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
8 0
Both triangles are the same but ones bigger so that means
AB=RS
ST=BC
AC=RT
Which means
How many 6 go into 18
How many 3 go into 9
How many 5 go into 15
They all 3
So the answer is it is enlarged by 3
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Given that g(x)=3x-7 <br> Find the value of k<br> <img src="https://tex.z-dn.net/?f=g%5E%7B2%7D%20%284k%2F3%29%3D8" id="TexFormu
frez [133]

Answer:

{  \frac{7}{4} - \frac{\sqrt{2} }{2} ,  \frac{7}{4} + \frac{\sqrt{2} }{2} }

Step-by-step explanation:

ax² + bx + c = 0

x_{12} = ( - b ± \sqrt{b^2 -4ac} ) ÷ 2a

~~~~~~~~~~~

g(x) = 3x - 7

g²(x) = (3x - 7)²

g²(x) = 9x² - 42x + 49

g²( \frac{4k}{3} ) = 9( \frac{4k}{3} )² - 42( \frac{4k}{3} ) + 49

9( \frac{4k}{3} )² - 42( \frac{4k}{3} ) + 49 = 8

16k² - 56k + 41 = 0

a = 16 , b = - 56 , c = 41

D = b² - 4ac = ( - 56)² - 4(16)(41) = 512 = 2^{9}

k_{1} = ( 56 + √2^{9} ) ÷ 32 = \frac{7}{4} + \frac{\sqrt{2} }{2}

k_{2} = \frac{7}{4} - \frac{\sqrt{2} }{2}

3 0
3 years ago
22/14 in simplest form
photoshop1234 [79]
Write the prime factorization of both the numerator and denominator.The prime factors of 22 are 2 and 11.
The prime factors of 14 are 2 and 7.  
Rewrite the fraction so that the numerator and denominator are written as the product of their prime factors: 22 / 14 = ( 2 × 11 ) / ( 2 × 7 )Cancel out any common prime factors.
We can cancel out a 72from both the numerator and the denominator.22 / 14 = 11 / 7<span>The fraction 22/14 can be simplified to 11/7.</span>
 
5 0
4 years ago
Read 2 more answers
Select 3 numbers to get the sum of 30, the numbers are 1, 3, 5, 7, 9, 11, 13, 15
Firdavs [7]

i think there is a trick so the 3 nbs are 9+11+13=33

How's that we need 30

if we flip 9 we get 6

so the answer would be 6+11+13=30

4 0
3 years ago
In right triangle ABC, A=15°, C=37, and angle C is the right angle. Solve the triangle. Round to the nearest tenth, if necessaar
Mice21 [21]

Answer:

180 degrees

Step-by-step explanation:

The sum of the interior angles of a triangle is 180 degrees. Since angle C is 90 degrees and angle A is 15 degrees Then,

A+B+C=180

15+90+B=180

B=180-90-15

B=75 degrees

Using the sine law,

a/sinA = b/sinB = c/sinC

where a, b, and c are the sides of the triangle,

So,

a/sin15 = 37/sin90

and

b/sin75 = 37/sin90

Simplifying, and solving for a and b, the measure of each side is

a= 9.58 units

b=35.74 units

I hope this helped. I am sorry if you get this wrong.

5 0
3 years ago
Ariana answered 36 questions correctly on her multiple choice science final and earned a grade of 45%. How many total questions
meriva

Answer:

80

Step-by-step explanation:

36 qusetions divided by .45

8 0
3 years ago
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