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Pie
2 years ago
8

The following two triangles are similar. Find x.

Mathematics
1 answer:
Kruka [31]2 years ago
4 0

Answer and Step-by-step explanation:

Since we know that the triangles are similar, we can find the value of x. It appears that the lighter triangle is dilated to be smaller than the darker triangle.

So, We would divide 45 by 9 to find the scale factor.

45 divided by 9 is 5.

Now, we divide 25 by this to find x.

25 divided by 5 is 5.

<u>x is equal to 5.</u>

<u></u>

<u><em>#teamtrees #PAW (Plant And Water)</em></u>

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Setler [38]
Give a minute I will find answer
6 0
3 years ago
Find the volume of this sphere.
Sholpan [36]
<h3>Calculate the volume of the sphere</h3>

To start finding the volume of this sphere, we get the following data:

  • π = 3
  • r = 2 ft²

To find the volume we apply the following formula:

  • \boldsymbol{\sf{V= \dfrac{3}{4}\pi r^{2}  }}, where
  • v = volume
  • π  = pi
  • r = radius

We substitute our data in the formula and solve:

Substituting values into the equation

  • \boldsymbol{\sf{V=\dfrac{3}{4}*3*(2 \ ft)^{3}  }}

Calculate exponent cubed

  • \boldsymbol{\sf{V=\dfrac{3}{4}*3*8 \ ft^{3}  }}

Multiplying

  • \boxed{\boldsymbol{\sf{V=32 \ ft^{3} }}}

Therefore, the volume of the sphere is 32 ft³.

8 0
2 years ago
Read 2 more answers
Find the value of x and y<br><br><br>Please help me. Thank you​
STatiana [176]

Answer:

Step-by-step explanation:

let each angle=A

A+A+A=180

3A=180

A=180/3=60°

as the angles are equal so sides are equal.

16+y=46

y=46-16=30

applying sine formula

\frac{30}{sin z} =\frac{46}{sin~80} \\sin~z=\frac{30}{46} \times ~sin~80=\frac{15}{23} \times sin ~80\\z=sin^{-1}( \frac{15}{23} \times sin ~80) \approx~39.96^\circ \approx40^\circ

z+x=60

40+x=60

x=60-40=20°

5 0
3 years ago
A water pitcher holds 3.5 quarts of water. How many liters of water does it hold? (1 liter = 1.06 quarts) A) 2.2 liters B) 3.3 l
Leona [35]

The answer is B. 3.3 Liters.

3.5 Quarts is 3.31224 liters.

6 0
3 years ago
Which expression shows the first step in simplifying 2x – 3(x + 2y) – 5(y – 7x)?
artcher [175]

Answer: Option 3.


Step-by-step explanation:

1. To simplify the expression shown in the problem, the first step is to apply the Distributive property, this means that you must multiply the number that are outside of the parentheses by the numbers inside of them.

2. Then, you have that the first step is:

2x-3(x+2y)-5(y-7x)=2x-3x-6y-5y+35x

3. Therefore, you can conclude that the correct answer is the third option.


5 0
3 years ago
Read 2 more answers
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