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Yuri [45]
3 years ago
15

In the following figure, triangle ABC and triangle DEF are similar. What is the value of x ? Triangle ABC and triangle DEF are s

hown. Side AB measures 10 millimeters. Side BC measures 4 millimeters. Side CA measures 8.5 millimeters. Side DE is not labeled. Side EF measures 12 millimeters. Side FD measures x. (1 point) x = 16.5 mm x = 24 mm x = 25.5 mm x = 30 mm
Mathematics
1 answer:
Shtirlitz [24]3 years ago
7 0
X = 25.5 mm.

Using the similarity statement given, that ΔABC ~ ΔDEF, we set up a proportion:

8.5/x = 4/12

Cross multiply:
4*x = 8.5*12
4x = 102

Divide both sides by 4:
4x/4 = 102/4
x = 25.5
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The sum of two numbers is 64. The difference between the numbers is 14. Write a system
Anastasy [175]

Answer:

They say that the sum of the two numbers (x and y) is 64, so we can write our first equation by adding them and setting that sum equal to 64:

x + y = 64

The question also tells us that their difference is 14. Similarly to before, we'll just subtract the two numbers and set that difference equal to 14:

x - y = 14

Now from here, you know how to continue with substitution to find the values for x and y. Just remember when you get a word problem to break it down and look for key words like sum, difference, or product, and from there you'll be able to build your system of equations.

8 0
2 years ago
Help please (will chose brainliest)
goldfiish [28.3K]

Answer:

LEts start with 10^1

If we have positive exponent then we add zeros

10^1= 10

10^2=100 (Put 2 zeros because exponent is 2)

10^3=1000 (Put 3 zeros because exponent is 3)

10^4=10000 (Put 4 zeros because exponent is 4)

10^5=100000 (Put 5 zeros because exponent is 5)

For negative exponent , we make a fraction . we put 1  at the top always and number as the bottom

10^{-1}=\frac{1}{10} (Put 1 zero at the bottom because exponent is -1)

10^{-2}=\frac{1}{100} (Put 2 zeros at the bottom because exponent is -2)

10^{-3}=\frac{1}{1000} (Put 3 zeros at the bottom because exponent is -3)

3 0
3 years ago
It takes 45 minutes for 4 people to paint 5 walls how long does it take 6 people to paint 4 walls
Naily [24]

Answer:

54 Minutes

Step-by-step explanation:

45 minutes/5 walls/4 people=2.25 minutes per person per wall

2.25 times 6 times 4=54 minutes

3 0
3 years ago
Read 2 more answers
A rectangular pyramid has a volume of 90 cubic feet. What is the volume of a rectangular prism with the same size base and same
yanalaym [24]

Answer:

30 cubic feet

Step-by-step explanation:

Here we are given the volume of rectangular pyramid as 90 cubic feet as we are required to find the volume of rectangular prism.

For that we need to use the theorem which says that

the volume prism is always one third of the volume of the pyramid . Whether it is rectangular of triangular base. Hence in this case also the volume of the rectangular prism will be one third of the volume of the rectangular pyramid.

Volume of Rectangular prism = \frac{1}{3} * Volume of rectangular pyramid

=  \frac{1}{3} * 90

= 30

8 0
3 years ago
Find the inequality represented by the graph.
iris [78.8K]

Answer:

<h2>x \geqslant  \frac{y + 4}{3}</h2>

Explanation;

Associated line with this equation is:

y=mx+c

when,

X=0

y=-4

so, c=-4

X=1

y=-1

- 1 = m- 4 \\  - m =  - 4 + 1 \\  - m =  - 3 \\ m =3 \\

y = 3x - 4 \\ or \: y + 4 = 3x \\ or \:  \frac{y + 4}{3}  = x

Inequality representated by graph:

x \geqslant  \frac{y + 4}{3}

Hope this helps...

Good luck on your assignment...

7 0
3 years ago
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