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AleksandrR [38]
2 years ago
6

Triangle ABC is similar to DEF.

Mathematics
1 answer:
Schach [20]2 years ago
6 0

Answer:

Step-by-step explanation:

Answer:

1. The scale factor here is 1.5

2. The scale factor here is 2/3

Step-by-step explanation:

Here, we shall be dealing with scales of triangles.

we have two triangles;

ABC and DEF

longest sides are in the ratio;

12 : 8

1. What scale factor translates DEF to ABC?

The ratio of the length can be beaten down to 3:2

So therefore, we can see that by multiplying the sides of of DEF by 1.5, we can arrive at the sides of ABC

So the scale factor here is 1.5

2. This is like the other way round of what we have above.

By multiplying the sides of ABC by 2/3, we shall have the sides of DEF

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2(3x-4)=3x+1 what is x?
pogonyaev
<span><span>2<span>(<span><span>3x</span>−4</span>)</span></span>=<span><span>3x</span>+1

</span></span>Step 1: Simplify both sides of the equation.

<span><span>2<span>(<span><span>3x</span>−4</span>)</span></span>=<span><span>3x</span>+1</span></span><span>Simplify: (Show steps)</span><span><span><span>6x</span>−8</span>=<span><span>3x</span>+1

</span></span>Step 2: Subtract 3x from both sides.

<span><span><span><span>6x</span>−8</span>−<span>3x</span></span>=<span><span><span>3x</span>+1</span>−<span>3x</span></span></span><span><span><span>3x</span>−8</span>=1

</span>Step 3: Add 8 to both sides.

<span><span><span><span>3x</span>−8</span>+8</span>=<span>1+8</span></span><span><span>3x</span>=9

</span>Step 4: Divide both sides by 3.

<span><span><span>3x</span>3</span>=<span>93

</span></span><span> answer : x=<span>3

hope this helps!</span></span>
5 0
3 years ago
Read 2 more answers
The Ms Jodi has 950 non fiction books. 40% of those books are about science topics and 30% are about history. How many books are
Bad White [126]

Step-by-step explanation:

well first you need to divide all the percents by 100.

40% = .40

30%= .30

and now you need to multiply those two by 950.

.40/950=4.20

.30/950=3.15

so ms jodi has about 3 books on history

8 0
2 years ago
What function is equivalent to g(x)=x2+15×-54
anastassius [24]

Answer:

not quite sure the specifc answer of this question at this time

Step-by-step explanation:

3 0
3 years ago
betty closes the nozzle and fills it completely with a liquid. She then opens the nozzle. If the liquid drips at the rate of 14
natta225 [31]

Answer:

4.71 minutes

Step-by-step explanation:

Incomplete question [See comment for complete question]

Given

Shape: Cone

r = 3 -- radius

h = 7 --- height

Rate = 14in^3/min

Required

Time to pass out all liquid

First, calculate the volume of the cone.

This is calculated as:

V = \frac{1}{3} \pi r^2h

This gives:

V = \frac{1}{3} * 3.14 * 3^2 * 7

V = \frac{1}{3} * 197.82

V = 65.94in^3

To calculate the time, we make use of the following rate formula.

Rate = \frac{Volume}{Time}

Make Time the subject

Time= \frac{Volume}{Rate }

This gives:

Time= \frac{65.94in^3}{14in^3/min}

Time= \frac{65.94in^3}{14in^3}min

Cancel out the units

Time= \frac{65.94}{14} min

Time= 4.71 min\\

3 0
2 years ago
Find g(x), where g(x) is the reflection across the y-axis of f(x)= –9|x–10|+1.
Gnom [1K]

Answer:

To reflect a graph, f(x) over the x-axis, you take -f(x).

So if f(x)=x^2, then -f(x) is -x^2.

Then g(x)=-x^2 is the reflection of your function f(x) over the x-axis.

Step-by-step explanation:

5 0
3 years ago
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