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3 years ago

What is the scale factor that takes the large triangle to the small triangle?

Mathematics

1 answer:

Lerok [7]3 years ago

5 0

Step-by-step explanation:

such a scale factor applies to all sides and lines.

we see that DE is 12 units, and AB is 4 units.

so,

12×f = 4

f = 4/12 = 1/3 is the scale factor

control : check the other side

FE = 6 units

6 × 1/3 = 2

so, the corresponding side in the small triangle must be 2 units long.

and indeed, CB is 2 units long. all correct.

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Elenas anut bought her a 150$ saving bond when she was born. When elena is 18 years old, the bond will have earned a 106% in int

SpyIntel [72]

Answer:

The Amount after 18 years is $66,942,391.5

Step-by-step explanation:

Given as :

The principal invested in saving bond = p = $150

The Time period for the bond = t = 18 years

The rate of interest applied on bond = 106%

Let The Amount after 18 years = $A

<u>Now, From compound interest</u>

Amount = Principal × $(1+\dfrac{\textrm rate}{100})^{\textrm time}$

Or, A = p × $(1+\dfrac{\textrm r}{100})^{\textrm t}$

Or, A = $150 × $(1+\dfrac{\textrm 106}{100})^{\textrm 18}$

Or, A = $150 × $(2.06)^{\textrm 18}$

Or, A = $150 × 446,282.61

∴ A = $66,942,391.5

So,The Amount after 18 years = A = $66,942,391.5

Hence,The Amount after 18 years is $66,942,391.5 Answer

7 0

3 years ago

Show me how to get this answer show your work

Rama09 [41]

We know that angle MKJ is comprised of angle MKL and angle LKJ. That means if we add MKL and LKJ, we should get 80 degrees, which is the measure of angle MKJ.

$MKL + LKJ= MKJ \implies \\ 2x+10+3x-5=80 \implies \\ 5x+5=80 \implies\\ 5x=75 \implies \\ x=15$

So, we know that our x is 15. That is not enough to tell whether KL is an angle bisector, because we have to evaluate both MKL and LKJ with x=15, so:

$MKL=2(15)+10 = 40\\ LKJ=3*15-5=40$

So we see that these two angles are actually bisectors, and the third question best describes this phenomenon.

6 0

3 years ago

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Draw a square and find it's area with to side=5cm

Mademuasel [1]

Answer:

area=l×b

a=(5×5)×(5×5)

a=25×25

=625

Step-by-step explanation:

all sides are equal =5

so we multiply all the sides by 5

8 0

3 years ago

casey bought sandwiches and a bag of chips. Each sandwich cost three times as much as bag of chips. She bought 5 sandwiches for

balandron [24]

Answer:

Step-by-step explanation:

If sandwiches are 6 dollars each, then chips are 3 dollars, she only bought 5 sandwiches for 6 each for 30 dollars(5*6=30).So, she has 12 dollars left to spend since she spent 42 dollars. And 4 *3=12so she only bought 4 bags of chips.

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3 years ago

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It would take john 6 hours to paint a room by himself. It would take Tom 18 hours to paint the same room by himself. Of john and

mario62 [17]

Answer:

12 hrs

Step-by-step explanation:

6+18 =24

24/2 = 12

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3 years ago

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