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Paladinen [302]
3 years ago
6

What's the scale factor from AABC to ADEF? A) 4/3 B) 3/4 C) 2/5 D) 5/2

Mathematics
2 answers:
guajiro [1.7K]3 years ago
6 0

Answer:

D) 5/2

Step-by-step explanation:

Scale factor = AB/DE = 35/14 = 5/2

Step2247 [10]3 years ago
3 0
It would be D.) 5/2 also you’re welcome
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In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= root 2 cm.
Nata [24]

Given CD is an altitude such that AD=BC , AB=3 cm and CD= √2 cm.

Let AD=x, Since given AB=3

                                     AD+DB=3

                                       x+DB = 3

                                        DB = 3-x

Since ΔBCD is rght angle triangle, let's apply Pythagoras theorem

BC^{2} = DB^{2} +CD^{2}

BC^{2} = (3-x)^{2} +(\sqrt{2} )^{2}

BC^{2} =(3-x)^{2} +2

Since given AD=BC,let us plugin BC=x in above step.

x^{2} =(3-x)^{2} +2

x^{2} =9-6x+x^{2} +2

6x=11

x=\frac{11}{6}

Now we know AD=x=\frac{11}{6} and given CD=√2.

Let us apply Pythagoras theorem for ΔACD

AC^{2} =AD^{2} +DC^{2}

AC^{2} = (\frac{11}{6} )^{2} +(\sqrt{2} )^{2}

AC^{2} =\frac{193}{36}

AC=\sqrt{\frac{193}{36} } = 2.315cm

3 0
3 years ago
Eloise made a list of some multiples of 8/5 write 5 fractions that can be in Eloise list
alexgriva [62]
This question is asking for a list of fractions, that when you pull out common factors, they will all simplify back to the 8/5 fraction.

So if 2 is the common factor, you multiply the numerator and denominator by 2.

2: (8*2)/(5*2)= 16/10

3: (8*3)/5*3)= 24/15

4: (8*4)/(5*4)= 32/20

5: (8*5)/(5*5)= 40/25

10: (8*10)/5*10)= 80/50

Eloise's Potential List:
16/10, 24/15, 32/20, 40/25, 80/50

If you simplify any of these fractions above, you will get 8/5 again.

To work backwards:
80/50: 10 goes into 80, 10 goes into 50= 8/5

16/10: 2 goes into 16, 2 goes into 10= 8/5

Hope this helps! :)
4 0
3 years ago
What is 23/40 as a decimal
DanielleElmas [232]
It is 0.575000. All you have to do is divide the numerator by the denominator.

7 0
3 years ago
Write an equation for each exponential function in the form y=abₓ (to the xth power)
GuDViN [60]

Answer:

y = 2 * 9 ^ x

Step-by-step explanation:

From the first point, you can get the value of a, since any number with power 0 with always equal to 1

  • 2 = a(1)
  • a = 2

Now you have y = (2)(b ^x), use the second point, substitute the value of X and y to (3,1458) to get the B value.

  • 1458 = 2b ^ 3
  • 729 = b ^ 3
  • B = 9
8 0
3 years ago
Solve the inequality and enter your solution as an inequality comparing the variable to a number X + 24 > 67
Free_Kalibri [48]

Answer:

X > 43

Step-by-step explanation:

The inequality is given by :

X + 24 > 67

We need to solve the inequality.

Subtract 24 from both sides of the inequality.

X + 24 -24 > 67 - 24

X > 43

So, the solution of the inequality is more than 43.

6 0
3 years ago
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